Answer:96
Step-by-step explanation:
uwu yay
The required equation represents the inverse function b(a), which takes the trapezoid's area is B(a) = a/6 - 9.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
We have been given that the trapezoid's base is nine and its height is twelve.
As an outcome, 'b' is the base's parallel side.
The function that represents the trapezoid's area is given by:
A(b) = [12(b + 9)]/2
Let's consider A(b) = a
Then, a = [12(b + 9)]/2
Now solving for b, we get
2a = 12(b + 9)
a = 6(b + 9)/2
a = 6b + 54
6b = a - 54
b = (a - 54)/6
b = a/6 - 9
Assuming that the length of the side parallel to the base 'b' = B(a), the equation will be:
B(a) = a/6 - 9
Thus, the correct answer would be option A. B(a) = a/6 - 9.
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what is the probability of drawing a black card in a standard deck of 52 cards? (enter your probability as a fraction.)
The probability of drawing a black card in a standard deck of 52 cards is 1/2.
Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1. There are total 52 cards out of which 26 are black cards and 26 are red cards.
There are 26 black cards (13 spades and 13 clubs) in a standard deck of 52 cards.
Therefore, the probability of drawing a black card from a standard deck of 52 cards is 26/52.
Probability = 26/52 = 1/2
So, the probability of drawing a black card is 1/2.
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please help me with my homework!!
10. The value of a book is $58 and decreases at a rate of 10% per year; 8 years.
Answer:
$24.96
Step-by-step explanation:
The question was incomplete. If you are asking how much is the book worth after 8 years, here's how to do it
Original cost = $58
Since the rate of decrease = 10%, the cost of the book after 1 year is 90% of the original price
90% = 90/100 = 0.9
Therefore after 1 year, the book cost is 58(0.9)
After another year(effectively 2 years) the above cost will drop by another 10% to 90% of the first year value: 58(0.9)(0.9) = 58(0.9)²
So the value of the book after a period of n years is modeled by the function
V = 58 (0.9)ⁿ
After 8 years the value is
58 (0.9)⁸ = 58 x 0.43046721
V = $24.96 rounded to the nearest cent
Whitney prepared 16 kilograms of dough after working 4 hours. How much dough did
Whitney prepare if she worked for 5 hours? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
time take for 1 dough = 16kg/4hours= 4kg/hour
Dough in 5 hours = 4 x 5 = 20
She prepared 20kilograms of dough in 5 hours
help me please i actually cant do this
Answer:
a: Angle 1 and Angle 3
b: Angle 8 and Angle 5
c: Angle 2 and Angle 9
d: Angle 5 and Angle 3
e: none of the above
Please help, its due today, ill give brainliest
Answer: bro just look it up fr fr
Step-by-step explanation:
Use substitution to solve
3x-2y=3
y=6+4x
Please explain how you got the answer
substitute y
3x - 2(6 + 4x) = 3
3x - 12 -8x = 3
-5x - 12 = 3
- 5x = 15
x = -3
PLEASE HELP 20 POINTS
Turning 180° counterclockwise is essentially the same thing as a horizontal flip about the y axis.
That means C will find itself on the opposite side of the x axis, with negative inputs. However, it is still above the x axis, so it will have a positive y coordinate.
Your answer should be (-3,1)
The lines intersect at
1 point.
different. The
parallel.
Do You Understand?
1. Essential Question How are slopes and
y-intercepts related to the number of solutions
of a system of linear equations?
The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.
What is linear equation ?
Linear equation can be defined as the equation in which the highest degree is one.
The number of solutions for a system of linear equations depends on the relationship between the slopes and y-intercepts of the lines represented by the equations. If the lines are intersecting, then there is exactly one solution where the lines cross. If the lines are parallel, then there are no solutions, as the lines will never intersect.
If the lines are coincident, then there are infinitely many solutions, as the lines represent the same line.
Therefore, The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.
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Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.
The equation of the line of the best fit for the data will be, y=2.07x-7.5.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The equation of the line is;
y=mx+c
y=2.07x-7.5
Hence, the equation of the line of the best fit will be, y=2.07x-7.5
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risol buys a souvenir cup for $14.97
d a book of postcards for $4.32. How
ch does Marisol spend?
Answer:
$19.29
Step-by-step explanation:
We know
Marisol buys a souvenir cup for $14.97 and a book of postcards for $4.32.
How much does Marisol spend?
14.97 + 4.32 = $19.29
So. Marisol spend $19.29
Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4.
Find the equations of the lines
DC, AD and BC.
Answer:
c
Step-by-step explanation:
trust me
2 Gallons of Juice for $4.50. How much per Gallon?
Answer: 2.25 per gallon
Step-by-step explanation:
4.50 divided by 2 = 2.25
Solve for X
This was on a Geometry Honors quiz
The value of x in the triangle is 8 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, the sides x of the triangle can be found using proportion as follows:
x / x + 8 = x + 8 / 32
cross multiply
32x = (x + 8)(x + 8)
32x = x² + 8x + 8x + 64
x² + 16x - 32x + 64 = 0
x² - 16x + 64 = 0
Therefore,
x² - 16x + 64 = 0
x² - 8x - 8x + 64 = 0
x(x - 8) - 8(x - 8) = 0
(x - 8)(x - 8) = 0
Therefore,
x = 8
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1. there are 15 boys and 17 girls in a math class. what is the ratio of boys to girls? (6.rp.1) * 15:17 15:32 17:15 32:15
If there are 15 boys and 17 girls in a math class then, the ratio of boys to girls is Option A. 15:17
The ratio of boys to girls in the math class is 15:17. This can be found by dividing the number of boys by the number of girls, which gives:
15/17
This ratio cannot be simplified because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls is 15:17.
The ratio of boys to girls in a math class is the relationship between the number of boys and the number of girls. The ratio is a way of expressing the comparison between two quantities. In this case, there are 15 boys and 17 girls in the class. To find the ratio of boys to girls, we divide the number of boys by the number of girls, which gives 15/17. This ratio cannot be simplified further because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls in the math class is 15:17. This means that for every 15 boys in the class, there are 17 girls.
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12, x, y, 324, 972, find the sum of x and y (a) 144 (b) 52 (c) 75 (d) 109
Answer: The value of the sum of x and y is (a) 144.
Step-by-step explanation:
Given, The sequence is a Geometric Sequence.
Initially,
=> 4x3 , x , y , 324, 324x3
=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3
From above,
We can deduce that,
=> x = 4 x 3 x 3
=> x = 36
Also,
=> y = 4 x 3 x 3 x 3
=> y = 108
The values of x and y are 36 and 108
Now, We can evaluate the sum of x and y,
=> x + y = 36 + 108
=> x + y = 144
Therefore, The sum of x and y is 144. Hence, option (a) is correct.
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can ypu please answer this question
Answer: A=71°
Step-by-step explanation:
A+B+C=180°
A+38°+C=180°
A+C=180°-38°
A+C=142°
142°/2=71°
∴A=71°
∴C=71°
Solve for X and Y using substitution
y=5x-7
-3x-2y=-12
Answer:
So the solution to the system of equations is (x,y) = (3,-2).
Step-by-step explanation:
To solve for x and y using substitution, we can first substitute y=-2 into the second equation to find the value of x, and then use that to find y.
Starting with the second equation:
4x - 3(-2) = 18
Expanding the -3(-2) using the distributive property:
4x + 6 = 18
Subtracting 6 from both sides:
4x = 12
Dividing both sides by 4:
x = 3
Now that we have x = 3, we can substitute that back into the first equation to find y:
y = -2
So the solution to the system of equations is (x,y) = (3,-2).
help asap pls. question in pic
the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Area of rectangle is A = a*b
One side of rectangle is 200m
When the measure of the other side is 50 m
the area will be 50*200 = 1000m².
The expression of area A(x) = 200x,
hence the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,
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During a 36 - year period, lightning killed 2,457 people in the United States. Assuming that rate holds true today and is constant throughout the year. Find the probability that tomorrow: (a) No one in the United States will be struck and killed by lightning.
The probability that no one in the United States will be struck and killed by lightning tomorrow is approximately 0.835, or 83.5%.
To find the probability that no one in the United States will be struck and killed by lightning tomorrow, we can use the Poisson distribution, which models the number of rare events occurring in a fixed period of time, given the average rate of occurrence.
The Poisson distribution has the following probability mass function:
P(X = k) = (e^(-λ) * λ^k) / k!
where:
X is the random variable representing the number of events (in this case, the number of people struck and killed by lightning)
λ is the average rate of events per unit of time (in this case, the average number of people struck and killed by lightning per day)
We can use the data given in the problem to estimate the value of λ:
λ = (2457 deaths) / (36 years * 365 days/year) ≈ 0.18 deaths/day
Now we can use the Poisson distribution to find the probability that no one in the United States will be struck and killed by lightning tomorrow:
P(X = 0) = (e^(-0.18) * 0.18^0) / 0! ≈ 0.835
This means that there is a high likelihood that no one will be killed by lightning tomorrow, given the historical average rate of lightning deaths.
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What if the well was 40 feet deep, the frog climbs 6 feet per hour, and it slips back only 1 foot while resting for an hour?
If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.
However, the frog slips back 1 foot while resting for an hour, so the frog would only have covered 5 feet of the well after each hour of climbing. The frog would need to climb for a total of
40/5 = 8 hours
to reach the top of the well. Additionally, the frog would need to take 8 hours of rest to make up for the slipping back.
So the total time it would take the frog to get out of the well would be 8 hours + 8 hours = 16 hours.
If the well was 40 feet deep and the frog climbs 6 feet per hour, it would take the frog 40/6 = 6.67 hours to reach the top of the well.
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Ashley created 3 music playlists using a total of 48 rock and pop songs. Each playlist has 9 rock songs. Each playlist also has the same number of pop songs. Which equation could be used to determine the number of pop songs, x
, Ashley has in each playlist?
Responses
1. x(3+9)=48
2. 3(x+9)=48
3. 3x+9=48
4. 9x+3=48
Answer:
2. 3(x + 9) = 48
Step-by-step explanation:
We are given
There are a total of 3 playlistsThere are a total of 48 rock and pop songsEach playlist has 9 rock songsEach playlist has x pop songsIf each playlist has 9 rock songs and x pop songs, then each playlist has 9 + x songs.
If there are three playlists, there are three playlists which each have x + 9 songs. In other words, 3(x+9). This represents the total number of songs, which is 48. Therefore the answer is 3(x+9)=48.
Hope this helps!
place the following scores in a frequency distribution table. based on the frequencies, what is the shape of the distribution? 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table is:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
What is a frequency table?The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.
The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15
The frequency table can be written as:-
Data Frequency
10 1
11 2
12 2
13 4
14 6
15 5
The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.
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What number would correctly replace the G?
an art teacher hhd 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers hhd paint in them including the one that was partially filled
Answer: 6 containers
Step-by-step explanation:
Fraction division.
2/3 divided by 1/8.
Keep-change-flip. (or a similar method for dividing fractions)
2/3 times 8/1 is 16/3.
He will fill 5 and 1/3 containers, so 6 containers will have paint in them.
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
Write a real-world situation and an algebraic expression that is represented by the bar diagram:
The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.
The mathematical form of the expression can be written as:-
2C + 5L = 5
Here, C is the cost per chocolate and L is the cost of per Lollypop.
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The complete question is given below.
Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.
Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles
per hour?
2 mile per hour
I
b. 1 miles per hour
C.
mile per hour
d. 1 miles per hour
Answer as a mixed number = 1 1/8 mph
Answer as a decimal = 1.125 mph
Work Shown:
(3/4) of a mile : (2/3) of an hour
12*(3/4) of a mile : 12*(2/3) of an hour
9 miles : 8 hours
9/8 miles : 8/8 hours
1.125 miles : 1 hour
His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8
given: jg/hg=kg/ig, 1=2
prove: ef || hi
The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.
GJ / GH = GK / GI, then the side KJ is parallel to the side HI.
In triangles ΔIGH and ΔGFE, then we have
∠IGH = ∠FGE (Vertival angle)
∠1 = ∠2 (Given)
Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have
GJ / GE = HG / FG, then the side FE is parallel to the side HI.
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What is the answer? How do I solve this?
You solve it using your brain.
The Grade 8 learners decided to start living more healthily.They will either jog or cycle.there are 125 Grade 8 learners and they jog and cycle in the ratio 3:2.calculate how many learners participate in each sport
Answer:
We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.
The total number of learners who jog and cycle is 125, so:
x + 2x = 125
3x = 125
x = 125 / 3
x = 41.67
Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.
Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.
The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.
Solution:
Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x
Given,
3x + 2x = 125
5x = 125
So, x = 25
Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50
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Pls help me fast fast
The sum of the measures of angles A, D, and F is:
A + D + F = 360°
How to find the sum of the 3 angles?First, we know that the sum of the interior angles of any triangle is always equal to 180°, then we can write:
B + C + E = 180°
We also can see that:
A + B = 180°
C + D = 180°
E + F = 180°
Then we can rewrite:
E = 180° - F
C = 180° - D
B = 180° - A
And replace that on the equation above:
B + C + E = 180°
( 180° - F) + (180° - D) + (180° - A) = 180°
Moving the variables to the right side we will get:
3*180° = 180° + A + D + F
3*180° - 180° = A + D + F
360° = A + D + F
That is the sum of the 3 measures.
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