The exponent of g, r, is -65536.
The exponent of y, s, is 1.
The leading coefficient, k, is 4.
Note: The expression 4^65536g³y² √√/65536g³y² is not equal to kg³y³, but instead represents the value of 4 raised to the power of 65536 times g raised to the power of -65536, divided by the square root of 65536 times g raised to the power of -65536 times y squared. The square root symbol is used twice, which is equivalent to taking the square root of the square root, or the fourth root.
PLEASE HELP ASAP??!!!
Andrew factored the polynomial 3x²y 6xy² as 3xy(x – 2y). Determine
if he is correct. If he is incorrect, help him fix his error. If he is correct, explain what
he did to get his answer.
Answer:
He is correct.
Step-by-step explanation:
Shown in picture.
Hope its clear.
It says that raise school is 1. 7 miles from his house I did that problem so the challenge says how many miles does he walk in a 5-day school week
It says that raise school is 1. 7 miles from his house the student walks 17 miles in a 5-day school week
If the school is 1.7 miles from the student's house, then the round trip distance between the house and school is 2 times 1.7 miles, or 3.4 miles per day.
A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959. It is the largest unit that is commonly used to measure the distance between places that are far from each other.
To find out how many miles the student walks in a 5-day school week, we can multiply the daily distance by the number of school days in a week:
3.4 miles/day x 5 days/week = 17 miles/week
Therefore, the student walks 17 miles in a 5-day school week
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find the volume of the cylinder 9in and 5in
706.5 in³
Step-by-step explanation:The volume of a shape describes the amount of space a shape takes up.
Volume Formula
For a cylinder, the volume formula is V = πr²h. In this formula, V represents the total volume. Additionally, π represents the constant pi, which is approximately 3.14. The variable r represents the radius. Remember that radius is the distance from the center of the circle to the edge. Finally, h is the height of the cylinder.
Solving for Volume
The diagram shows that the radius is 5in. We know this because the distance from the center to the edge of the circle is 5in. Additionally, the height is 9in. Now, we can plug these values into the formula.
V = π(5)² * 9V = 225πV ≈ 706.5For this calculation, I used 3.14 for π. The unrounded volume in terms of pi is 225π.
The volume of the cylinder is 706.5 in³.
The sum of two numbers is 14. The difference of twice the first and the second is -5. What are the two numbers?
The two numbers are 3 and 11 respectively
How to determine the numbersFrom the information given, we have that
The first number is x
The second number is y
Also,
2x - y = -5
x + y = 14
Make 'x' the subject from equation 2
x = 14 - y
Make 'x' the subject
2(14-y) - y = -5
28 - 2y - y= -5
collect like terms
-3y = -33
y = 11
Substitute the values
x = 3
Hence, the values are 3 and 11
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what do the numbers on a centimeter ruler represent
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
What is a unit?
Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:
The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
Now,
As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5
there are always 10 vertical lines which represents a millimeter
and 10 lines means 10 millimeter.
hence,
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
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GUITAR CLASS, HELP ASAP, WILL GIVE BRAINLIEST,
Five horizontal, parallel, equidistant lines with black oval with stem in 3rd space.
What is the name of the note shown above?
A
B
C
G
The above-shown note is labeled B based on the information provided.
How do you measure the distance between two lines evenly?A point is considered to really be equidistant from both of two other points when they are equally distanced from one another. The distance between any two given points may be calculated using the distance formula utilizing the coordinates of the two points.
What does equidistant mean?Example: Given that points A and B have the coordinates (1, -2) and (5, 6), respectively, determine the midpoint of line segment AB. Find the midpoint's distance between points A and B to confirm it. The midpoint is confirmed to be equally far from points A and B because both of those places are from it.
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Lin and Andre start walking toward each other at the same time from opposite ends of the 22-mile walking trail. Lin walks at a speed of 2. 5 miles per hour. Andre walks at a speed of 3 miles per hour. How long will it take until Lin and Andre meet on the path?
If Lin walks at a speed of 2. 5 miles per hour. Andre walks at a speed of 3 miles per hour. It will take 4 hours until Lin and Andre meet on the path.
Lin and Andre are walking toward each other on a 22-mile trail, so they will meet when the sum of the distances they have walked is equal to 22 miles. Let's call the time they walk until they meet "t".
During this time, Lin will have walked a distance of 2.5t miles, and Andre will have walked a distance of 3t miles. The sum of these distances is equal to 22 miles, so we can set up the equation:
2.5t + 3t = 22
Combining like terms, we get:
5.5t = 22
Dividing both sides by 5.5, we get:
t = 4
So it will take Lin and Andre 4 hours to meet on the path.
Note that we could have also solved this problem by using the formula:
time = distance / speed
For Lin, the time to cover the 22-mile distance would be:
time = distance / speed = 22 / 2.5 = 8.8 hours
For Andre, the time to cover the 22-mile distance would be:
time = distance / speed = 22 / 3 = 7.33 hours
Since they are walking towards each other, we can add their times to get the time it takes for them to meet:
time = 8.8 + 7.33 = 16.13 hours
However, we can see that this answer is not correct, as it is greater than the time it would take for either of them to cover the entire distance. This is because the time it takes for them to meet is less than the sum of their individual travel times, due to them moving towards each other.
So we go back to our original equation and solve for "t" to get the correct answer of 4 hours.
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Chandra just spends 15 minutes away or math problems she spends the same amount of time on each problem how many minutes does she spend on each problem
Chandra spends 3 minutes on each math problem if she spends a total of 15 minutes on math problems and spends the same amount of time on each problem
Chandra spends the same amount of time on each math problem. Let's call the amount of time she spends on each problem "t".
We know that Chandra spends a total of 15 minutes on math problems. If she spends the same amount of time on each problem, then the total time spent on all the problems is equal to the number of problems multiplied by the time spent on each problem.
So, we can write the following equation:
total time spent on all problems = number of problems * time spent on each problem
We know that the total time spent on all problems is 15 minutes, so we can substitute this into the equation:
15 = number of problems * t
We don't know the number of problems, but we can solve for t by rearranging the equation:
t = 15 / number of problems
So, the amount of time Chandra spends on each math problem is equal to 15 divided by the number of problems.
For example, if Chandra works on 5 math problems, then the amount of time she spends on each problem is:
t = 15 / 5 = 3
So, Chandra spends 3 minutes on each math problem if she spends a total of 15 minutes on math problems and spends the same amount of time on each problem.
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A, B, C and D are points on the circumference of a circle, centre O. ED is a tangent to the circle. Angle ODB= 25degrees. Work out angle BAD. You must give a reason for each stage of your working.
Can someone please help!
Thank you
the angle BAD is 75 degrees and we used the properties of angles in a circle and the tangent-secant theorem to find angle BAD .
To work out angle BAD, we need to use the properties of angles in a circle and the tangent-secant theorem. Here are the steps to solve the problem:
Identify the relevant angles First, we need to draw a diagram to visualize the problem. We have a circle with center O, points A, B, C, and D on the circumference, and tangent ED. Angle ODB is given as 25 degrees. We need to find angle BAD. We can label the angles in the diagram as follows:
Angle AOB = 2x (angle at the center is twice the angle at the circumference)
Angle BCD = x (angles in the same segment are equal)
Angle OBD = 90 degrees (tangent and radius are perpendicular)
Angle OED = 90 degrees (tangent and radius are perpendicular)
Angle ABD = y (we need to find this angle)
Angle BAD = z (we need to find this angle)
Use the sum of angles in a triangle
We notice that triangle ABD is a right triangle, with right angle at B. Therefore, angles ABD and BAD are complementary. That is, ABD + BAD = 90 degrees. Use the tangent-secant theorem
We can use the tangent-secant theorem to find the value of angle ABD. The tangent-secant theorem states that if a tangent and a secant intersect at a point on a circle, then the angle between the tangent and the secant is equal to the half the difference of the intercepted arcs. In our diagram, ED is a tangent, and BD is a secant. Therefore, angle ODB = 25 degrees is half the difference of the intercepted arcs AD and AB. That is, angle ABD = (2x - x)/2 = x/2.
Solve for x
To find x, we can use the fact that the angles in a triangle add up to 180 degrees. Therefore, x + 2x + 90 = 180 (sum of angles in triangle AOB). Solving for x, we get x = 30 degrees.
Find angle ABD and angle BAD
Using the result from step 3, we get ABD = x/2 = 15 degrees. Using the result from step 2, we get BAD = 90 - ABD = 75 degrees.
Therefore, the angle BAD is 75 degrees. In summary, we used the properties of angles in a circle and the tangent-secant theorem to find angle BAD. We noticed that ABD and BAD are complementary, and we used the tangent-secant theorem to find ABD. Then, we solved for x using the fact that the angles in a triangle add up to 180 degrees. Finally, we used the results from steps 2 and 3 to find BAD.
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What is the measure of the smallest angle?
one line has 2x #2 had 3x - 11 #3 had 2x + 9
67°
69°
52°
61°
In the preceding equation the measure of the smallest angle is 52° in length.
What are the names of angles 2 and 3?Internal angles 2 and 3 are alternate options. Two angles that share a vertex and a side but no interior points in common. two angles that don't have any shared interior points but do have a common vertex and side.
We know that a triangle has 180 angles altogether.
So, 2x + 3x - 11 + 2x + 9 = 180
7x - 2 = 180
7x = 180 + 2
x = 182 / 7
x = 26
Now, magnitude of angles = 2x = 2(26) = 52 [ Smallest ]
3x - 11 = 3(26) - 11 = 78 - 11 = 67 [ Largest ]
2x +9 = 2(26) + 9 = 52 + 9 = 61
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a construction crew is lengthening a road. the road started with a length of miles, and the crew is adding miles to the road each day. let represent the total length of the road (in miles), and let represent the number of days the crew has worked. write an equation relating to . then use this equation to find the total length of the road after the crew has worked days.
The necessary equation is [tex]L= 52+2D[/tex], and the necessary overall length is [tex]114 miles[/tex].
Given: A road is being extended by construction workers. The road already had a length of miles, and the crew is continuously extending it by miles. Let the number of days the crew has worked and the distance of the entire road (in miles) be represented by D and L respectively. Create a corresponding equation L to D.
According to the inquiry,
The road's initial length is 52 miles.
The daily length of roadways that a crew adds is 2 miles.
This number represents the number of days the crew worked.
The total length of the road that the crew built is represented by L.
A given condition-based equation can be written as [tex]L= 52+2D[/tex].
Now, the crew's total length of the road after 31 days of construction is calculated.
[tex]L= 52+2*31\\L=52+62\\L=114 miles[/tex]
As a result, the needed equation and the total length is [tex]L= 52+2D[/tex] and 114 miles respectively.
The complete question is:-
A construction crew is lengthening a road. The road started with a length of 52 miles, and the crew is adding 2 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 31 days.
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the base of the rectangle is 7 more than its height x. if the perimeter of the rectangle is greater than 30in find the height
The height of the rectangle must be greater than 4 inches if the perimeter of the rectangle is greater than 30 inches.
In geometry, a rectangle is a quadrilateral with four right angles, and opposite sides are equal in length. The perimeter of a rectangle is the total distance around it.
Let's assume that the height of the rectangle is x inches. According to the problem, the base is 7 more than its height, which means the base is (x + 7) inches.
Now, we can calculate the perimeter of the rectangle using the formula:
Perimeter = 2(length + width)
In a rectangle, the length and width are the same as the base and height, respectively. So, in our case, the perimeter of the rectangle will be:
Perimeter = 2(x + (x + 7)) = 4x + 14
As we are given that the perimeter of the rectangle is greater than 30 inches, we can write the inequality:
4x + 14 > 30
Solving for x, we get:
4x > 16
x > 4
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Spin Master Toys would like to introduce a new battery powered adventure toy called "Bongo
Bumpers" targeted to boys aged 5-9 in Canada. It is a unique new toy that is expected to be a hit
this holiday season. The toy will sell for $25.
Using the following information, forecast the sales demand in retail dollars for the new "Bongo
Bumpers" toy in Canada for its first year of launch based on the assumptions below.
A Spin Master survey estimated that 80% of boys who saw the toy in action would ask
their parents to purchase it.
Based on their media plan the advertising agency estimates that 65% of boys in Canada
of launch.
would see the advertising and be aware of the toy within its first year
Spin Master has learned in research that approx. 50% of parents or others in the family
will purchase a Spin Master toy that their child requests within a year, as Spin Master has
a strong reputation for toys that have lasting play value.
a) Using the information provided, the sales forecast in retail dollars for the new "Bongo Bumpers" toy in Canada for its first year of launch is $6,259,500.
b) If Spin Master had an issue with the distribution and was only able to achieve 70 percent distribution, the sales forecast will be $4,381,650.
What is the sales forecast?A sales forecast is a projected future sales revenue based on estimated sales units and selling price under some predicted market situations.
The sales forecast is usually broken down into various periods, for example, a week, a month, or a year.
The purposes of a sales forecast are to:
Improve organization productivity and performance andConform to market modifications and meet customers' needs.The unit selling price per Bongo Bumpers toy = $25
The population of Canadian males aged 5 - 9 years = 963,000
The percentage of Canadian boys who would see the advertised toy = 65%
The estimated percentage of Canadian boys who would ask their parents to purchase the toy = 80%
The estimated percentage of Canadian parents who would buy the toy as requested by their male children = 50%
Estimated sales units for the toys = 250,380 (963,000 x 0.65 x 0.8 x 0.5)
Sales forecast for the Bongo Bumpers toys = $6,259,500 ($25 x 250,380)
With 70% distribution, the Sales Forecast = $4,381,650 ($6,259,500 x 70%)
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3. Find the height of the tree below to the nearest foot.
The height of the tree to the nearest foot is 27 feet.
How to find the height of a tree?The height of the tree can be found as follows:
The height of the tree can be found using trigonometric ratios. Therefore,
let
tan ∅ = opposite / adjacent
Therefore,
opposite side = adjacent tan ∅
Hence,
height of the tree = 20 + x tan 45° = x tan 75°
20 + x tan 45° = x tan 75°
20 tan 45 + x tan 45° = x tan 75°
20 tan 45 = x tan 75° - x tan 45°
20 tan 45 = x(tan 75 - tan 45)
20 tan 45 = x(3.73205080757 - 1)
2.73205x = 20
x = 20 / 2.73
x = 7.32600732601
x = 7.34
Therefore,
height of the tree = x tan 75°
height of the tree = 7.34 × tan 75°
height of the tree = 27.3186119114
height of the tree = 27 ft
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Let f(x) = 2√3x and g(x) = -4√3x. Find (f-g)(x), then evaluate when x = 12.
The function operation (f-g)(x) in the functions f(x) = 2√3x and g(x) = -4√3x is 6√3x and the value of (f-g)(12) is 36.
What is the function operation (f-g)(x) and value of (f-g)(12)?A function is simply a relationship that maps one input to one output.
Given that;
f(x) = 2√3xg(x) = -4√3x(f-g)(x) = ?(f-g)(12) = ?First, set up the function;
(f - g)(x) = f(x) - g(x)
Replace the function designators with the actual function.
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2√3x - (-4√3x)
(f - g)(x) = 2√3x + 4√3x
(f - g)(x) = 6√3x
Now, we evaluate when x = 12.
(f - g)(x) = 6√3x
Replace x with 12
(f - g)( 12 ) = 6√3(12)
(f - g)( 12 ) = 6√36
(f - g)( 12 ) = 6 × 6
(f - g)( 12 ) = 36
Therefore, the function operation (f-g)(x) is 6√3x and (f-g)(12) is 36.
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what distance does the tip of the minute hand on a clock travel in 11 minutes if the minute hand is 23 cm long?
The tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.
What is Circle?
A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are a fixed distance away from a given point, called the center of the circle. This distance is known as the radius of the circle.
A circle can also be defined as the locus of a point that moves in a plane in such a way that its distance from a fixed point is constant. The constant distance is the radius of the circle.
The minute hand on a clock makes a full rotation in 60 minutes, which means it travels the circumference of a circle with a radius of 23 cm in 60 minutes. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.
Therefore, the circumference of the circle traced by the tip of the minute hand is:
C = 2πr = 2 × 3.14 × 23 cm ≈ 144.44 cm
To find out how far the minute hand travels in 11 minutes, we need to calculate what fraction of the circumference it covers in that time. Since 11 minutes is about 18.3% of an hour (60 minutes), the minute hand travels 18.3% of the circumference of the circle in that time:
Distance traveled = 0.183 × 144.44 cm ≈ 26.4 cm
Therefore, the tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.
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out of the 10,000 people who took their driving test for the first time, it was found that 6500 passed the test on the first attempt. estimate the probability that a randomly selected person would pass the driving test on the first attempt.
To estimate the probability that a randomly selected person would pass the driving test on the first attempt, we can divide the number of people who passed on the first attempt (6500) by the total number of people who took the test (10,000).
Probability = Number of favorable outcomes / Total number of possible outcomes.In this case, the favorable outcome is passing the test on the first attempt, and the possible outcomes are all the people who took the test.
Probability = 6500 / 10000= 0.65
Therefore, the estimated probability that a randomly selected person would pass the driving test on the first attempt is 0.65 or 65%. This means that there is a 65% chance that a randomly selected person from the group of 10,000 would pass the driving test on their first try.
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The image of a trapezoid is shown.
An isosceles trapezoid with a short base of 3 meters and a height of 5.8 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.
What is the area of the trapezoid?
The area of the trapezoid would be 42.5 m².
What is the area of a trapezoid?
The area of a trapezoid is given by the formula:
Area = (1/2) × (sum of the bases) × height
where the bases are the two parallel sides of the trapezoid and the height is the perpendicular distance between the bases.
The parameters of the trapezoid are;
Short base length = 3 m
Height = 5
Large base length = 4 + 3 + 7 = 14 m
Thus;
Area of a trapezoid = 1/2 * (Short base + Large base) * h
Area = 1/2 * (3 + 14) * 5
= 1/2 * 17 * 5
= 42.5 m²
Hence, the area of the trapezoid would be 42.5 m².
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a plane ticket to beacelona is £175 the price decreased by 6%
how much is the plane ticket now?
Throwing the stone horizontally at 1.5 times the previous speed multiplies the time to reach the ground by what factor?
The second smallest number that has 1,2,3,4 and 5 in them
12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
The second smallest number that has 1,2,3,4 and 5 in them is 12354. This number is made up of the digits 1, 2, 3, 4, and 5 in that order. It is the second smallest number because the smallest number that contains these digits is 12345.
To form this number, we start by arranging the digits in descending order, from the largest to the smallest, 5, 4, 3, 2 and 1. We then combine the digits together to form 12354.
12354 is the second smallest number because it contains all the digits 1, 2, 3, 4 and 5 in that order. This number can be used in different ways, such as counting, addition, subtraction, multiplication and division. For example, 12354 divided by 4 equals 3088.75.
The number 12354 can also be used in other ways, such as to represent a date or time. For example, the number 12354 can represent the date 12/3/54, which is December 3, 1954.
In conclusion, 12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
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Sorry for the grease LOL was eating a big mac also this is urgent
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept? What does it mean in this
context?
2
year
2010
2012
2014
2016
1gnibasi
Seadsh
amount in dollars
The vertical intercept for the table showing the relationship for Jada's grandparents starting a savings account for her is starting savings amount in the account of $ 600.
What is the vertical intercept in a graph ?The vertical intercept in a graph is the point where a line intersects the vertical axis of the coordinate plane. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero.
The vertical intercept would therefore be first amount in the savings account by Jada's grandparents which is the $ 600. This is the amount when x = 0 or rather when x was the starting year of 2006.
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To make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. TO make
the recipe taste more like banana, ; cup more banana was added to the blender. The smoothie now has 1.4 cups
of bananas. How many cups of bananas were in the original recipe?
cup
Based on the information, it can be inferred that the original recipe contained 0.9 cups of banana.
How to calculate the original amount of banana contained in the recipe?To calculate the original amount of banana contained in the smoothie recipe we must perform the following mathematical operation:
We know that the final recipe has 1.4 cups of banana and that to make it have a more intense banana flavor they added 1/2 cups of banana, that is, 0.5 cups.
According to the above, we must subtract the amount that was added to the final amount to find how much the recipe has as shown below:
1.4 drinks - 0.5 drinks = 0.9 drinks
According to the above, the original recipe would have 0.9 cups of banana.
Note: This question is incomplete. Here is the complete information:
To make a strawberry banana smoothie, a recipe calls for 1.75L cups of strawberries and some bananas. To make the recipe taste more like banana, 1/2 C cup more banana was added to the blender. The smoothie now has 1.4 cups of bananas. How many cups of bananas were in the original recipe?
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Please answer it’s for school
Using the vertices given, the area of triangle PQR is 18 squared units
What is the area of the triangleThe area of triangle PQR can be found using the Shoelace Theorem. This theorem states that the area of a polygon can be calculated by taking the sum of the products of the coordinates of its vertices and subtracting the sum of the products of the coordinates of its vertices in reverse order.
In this case, the vertices of triangle PQR are P(-8, 2), Q(-2, 4), and R(-6, 8), so the area can be calculated as follows:
A = 1/2 * |(-8 * 4) + (-2 * 8) + (-6 * 2) - (2 * -2) - (4 * -6) - (8 * -8)| = 1/2 * |-32 + 16 + -12 - 4 + 24 + 64| = 1/2 * |36| = 18 square units
So the area of triangle PQR is 18 square units.
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plss help!
An ice cream shop sold a combined total of 367 ice cream cones in the flavors of chocolate or vanilla. They sold 95 more vanilla cones than chocolate. How many chocolate ice cream cones did they sell?
Let's first assign variables to the numbers given.
Let the number of vanilla cones be x and the number of chocolate cones be y.We're given:
[tex]x+y=367[/tex][tex]x=y+95[/tex]Plug the second equation into the first one and solve for y:
[tex]x+y=367\\(y+95)+y=367\\2y+95=367\\2y=272\\y=136[/tex]
Therefore, they sold 136 chocolate cones.
AnswerThey sold 136 chocolate ice cream cones.
in a study, the data you collect is weight in pounds. what is the level of measurement? nominal ordinal interval ratio
The level of measurements that the data we collect is weights in pounds is Ratio level.
The Ratio level of measurement: At this level of measurement, observations can have a value of zero as well as equal intervals. Although the characteristics are similar to those of interval level measurement, the zero in the scale distinguishes this sort of measurement from others. In the ratio level of measurement, the divisions between the points on the scale have an equivalent distance between them. We may confidently assert that 20 pounds are twice as heavy as 10 pounds. Ratio variables also have a meaningful zero-point.
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PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! :) 20 POINTS!!!
5) There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Douglas took a slice of pizza, ate it, and then took another slice.
What's the probability of Douglas eating two of the same kinds of pizza?
6) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs. Stanton is going to take one pen from a drawer, use it, and then put it back in the drawer. Then she is going to take another pen from the drawer to use.
What's the probability Mrs. Stanton takes two red pens?
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
5)1/12
6) 25%
Step-by-step explanation:
5)The odds of Mr Douglas eating two slices of cheese pizza can be calculated by doing 3/(5 + 1 +3) = 1/3
the second slice's odds can be calculated by doing 2/(5+1+2) = 1/4
Multiply these to get the odds of two being eaten
1/4 times 1/3 is 1/12.
6) the odds of her selecting a red pen the first time is 50%. to do it again would be another 50% chance. 50% times 50% is 25%.
Jayden has some dimes and some quarters. He has at most 25 coins worth at least $4.60 combined. If Jayden has 7 dimes, determine all possible values for the number of quarters that he could have. Your answer should be a comma separated list of values.
The possible values of the number of quarters are at least 14 and more.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
1 dime = $0.10
1 quarter = $0.25
Number of dimes = x
Number of quarters = y
Now,
He has at most 25 coins worth at least $4.60 combined.
This means
we can write two inequalities.
x + y ≤ 25 ____(1)
0.10x + 0.25y ≥ 4.60 _____(2)
Now,
From (1) and (2).
x ≤ 25 - y
Substituting in (2).
0.10x + 0.25y = 4.60
0.10 (25 - y) + 0.25y ≥ 4.60
2.5 - 0.10y + 0.25y ≥ 4.60
2.5 + 0.15y ≥ 4.60
0.15y ≥ 4.60 - 2.5
0.15y ≥ 2.1
y ≥ 2.1/0.15
y ≥ 14
This means,
y is at least 14.
Thus,
The possible values of the number of quarters are at least 14 and more.
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Megan dilates ∆JKL about point J by a scale factor of 3/5 to create ∆JNO.
What is the length of segment NO?
Show all work solving for segment NO.
The measure of the length NO after dilation will be 15.
What is a scale factor?The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.
Given that to make JNO, Megan enlarges JKL by a scale factor of 3/5 around point J.
The measure of side NO will be calculated as:-
NO = 3 / 5 x 25
NO = 3 x 5
NO = 15
Therefore, the length of the side NO is 15.
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At soccer practice last night, Leroy made 4 times as many penalty kicks as he missed.
Pick the diagram that models the ratio in the story.
If Leroy made 9 more penalty kicks than he missed, how many penalty kicks did he make?
Penalty kicks:
The model that would model the ratio is 4 : 1
the penalties made is given as 12
How to solve for the penaltiesTo get the penalty kicks that he made given that he made 9 more penalty kicks than he missed
let the penalty kicks be
= x
if he made more than 9 than missed we would have
x + 9 = 4
x = 1
cross multiply
1 (x + 9) = 4 * X
x + 9 = 4x
9 = 3x
x = 3
since x + 9 penalties made
3 + 9 = 12
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