The ratios with unit rates greater than 1 are:
3 1/5 pounds : 4 pounds
7 1/10 pounds : 9/10 pound
9/4 pounds : 3/4 pound
2 pounds : 1/3 pound.
A unit rate is the comparison of two quantities with a denominator of 1.
To determine if the unit rate is greater than 1, we need to compare the numerator to the denominator.
If the numerator is greater than the denominator, the unit rate is greater than 1.
Let's analyze each ratio:
3 1/5 pounds : 4 pounds:
The numerator (3 1/5) is greater than the denominator (4), so the unit rate is greater than 1.
7 1/10 pounds : 9/10 pound:
The numerator (7 1/10) is greater than the denominator (9/10), so the unit rate is greater than 1.
7/8 pound : 2 pounds:
The numerator (7/8) is less than the denominator (2), so the unit rate is not greater than 1.
9/4 pounds : 3/4 pound:
The numerator (9/4) is greater than the denominator (3/4), so the unit rate is greater than 1.
3 pounds : 1 1/2 pounds:
The numerator (3) is equal to the denominator (1 1/2), so the unit rate is not greater than 1.
2 pounds : 1/3 pound:
The numerator (2) is greater than the denominator (1/3), so the unit rate is greater than 1.
Therefore, the ratios with unit rates greater than 1 are:
7 1/10 pounds : 9/10 pound
9/4 pounds : 3/4 pound
2 pounds : 1/3 pound
3 1/5 pounds : 4 pounds
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someone help please
sure the answer is c and a or b but the correct one is c
Find the quotient: 108m6+81m5−324m9m4. Simplify your answer completely.
What is m Please help answer
The value of x is 3 and angle Q is 39°
What is circle geometry?A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
A circle theorem states that : angles in thesame segment are equal.
With this theorem is means that angle 13x is equal to angle x +36 .
Therefore;
13x = x +36
collecting like terms
13x -x = 36
12x = 36
divide both sides by 12
x = 36/12
x = 3
therefore the value of angle Q = 13 × 3
= 39°
Therefore the value of angle Q is 39°
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While visiting your friend in the city, you see two roads that intersect as shown. Your triend tells you that the angle between the roads on the west side is 78° and the angle between the roads on the east side is (3x)°. Find the value of x.
Answer:
Step-by-step explanation: 78 +3x+x=180 deg.
4x=180-78
4x=102/:4
x=25.5 deg
Step-by-step explanation:
180 = 78° + 3x°
78° + 3x° = 180°
3x°= 180° - 78°
3x = 102°
x = 102°/3
Find the area of the shape.
4 m
17 m
18m
9 m
There are two ways to solve this problem: use the formula for the area of a trapezoid, or break the trapezoid up into 3 shapes.
Formula for the Area of a Trapezoid: A = 1/2(b1 + b2) x h
A = 1/2(17 + 9) x 8
A = 1/2(26) x 8
A = 13 x 8
A = 104 m^2
Trapezoid = 2 right triangles + 1 rectangle
Area of a triangle = 1/2 x base x height
A(triangle) = 1/2 x 4 x 8
A(triangle) = 16
A(both triangles in the trapezoid) = 32 m^2
A(rectangle) = 8 x 9
A(rectangle) = 72 m^2
Total area = 72 + 32 = 104 m^2
Answer: A = 104 m^2
Hope this helps!
A simulation for rolling two number cubes is run with 50 trials. The results are shown below.
(4,6)
(2,4)
(3, 1)
(1,6)
(6, 1)
(2, 2)
(2, 2)
(5, 1) (5,3)
(3,2)
(2,6)
(6,6)
(4,2)
(4,3)
(3,4)
(3,1)
(3,6)
(1,2)
(6,4)
(4,4)
(5,5)
(3,6)
(1,2)
(2,3)
(3, 3)
(4,4)
(4,4)
(1,5)
(6,-6)
(2,3)
(2,1)
(3,5) (4,1)
(4,4)
(4,5)
(4, 5)
(2,1) (4, 6)
(6, 6)
(5,2) (1,4)
(1,6)
(6,6)
(3,6)
(2,1)
What is the experimental probability a total of 9 will be rolled on two number cubes?
Use the paperclip button below to attach files.
(6,4)
(2,4)
(4,3)
(2,4)
(1, 1)
The experimental probability of rolling a total of 9 on two number cubes is 2/50, or 0.04.
How is this so ?To calculate the experimental probability,we divide the number of successful outcomes by the total number of trials.
In this case, there were 2 successful outcomes (the sum of the number cubes was 9) and 50 total trials.
Therefore, the experimental probability is
2/50 = 0.04.
It is important to note that this is just an experimental probability, and the actual probability of rolling a total of 9 may be different.
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write (-6, -3) slope = 1/2, in slope-intercept form
y=1/2x-3
"The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point."
Also, 1/2 (m= slope)
Also, rise⬆️/run↔️ is a good way to remember how to graph them. If the "Rise"(1) is positive it will go up. if it is negative it will go down. if the "Run" (2) is positive, youll go right, if it is negative youll go left.
The auto parts department of an automotive dealership sends out a mean of 5 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 5? Round your answer to four decimal places.
17.55% is the probability for any day, the number of special orders sent out will be exactly 5
The given situation describes a Poisson distribution with a mean of 5 special orders per day. The probability of getting exactly 5 special orders in a day can be calculated using the Poisson probability formula, which is:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the random variable representing the number of special orders, λ is the mean number of special orders per day, and k is the number of special orders we want to find the probability for.
Plugging in the given values, we get:
P(X = 5) = (e^(-5) * 5^5) / 5!
Simplifying this expression, we get:
P(X = 5) = 0.1755
Therefore, the probability of getting exactly 5 special orders in a day is 0.1755 or 17.55%, rounded to four decimal places.
Intuitively, this means that out of many days, we can expect around 17.55% of them to have exactly 5 special orders sent out. The Poisson distribution is commonly used to model the number of events occurring in a fixed period of time, given a known average rate of occurrence. In this case, the Poisson distribution can be used to estimate the likelihood of a particular number of special orders being sent out in a day.
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a total of 584 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold??help please
Answer:
Tickets Sold: 146
Step-by-step explanation:
Let's assume that the number of adult tickets sold is "x".
According to the problem, the number of student tickets sold is three times the number of adult tickets sold. Therefore, the number of student tickets sold is 3x.
The total number of tickets sold is 584, so we can set up an equation:
x + 3x = 584
Simplifying the equation, we get:
4x = 584
Dividing both sides by 4, we get:
x = 146
Therefore, the number of adult tickets sold is 146.
Answer: 146
Step-by-step explanation:
let x = # of adult tickets sold
let y = # of student tickets sold
x + y = 584
this is because the sum of adult tickets and student tickets is 584.
3x = y
this equation is written because there is 3 times more students there than adults
using substitution, we can find the equation :
x + (3x) = 584
4x = 584
x = 146
since x is equal to the number of adult tickets sold, your answer is 146.
The graph models the value of a machine over a 10 -year period. Which equation best represents the relationship between x , the age of the machine in years, and y , the value of the machine in dollars over this 10-year period? A.y=500x+8,000 B.y=−500x+8,000 C.y=−0.002x+2,500 D.y=0.002x+2,500
Correct equation best represents the relationship between x , the age of the machine in years, and y , the value of the machine in dollars over this 10-year period is,
⇒ y = 500x + 8000
We have to given that;
The graph models the value of a machine over a 10 -year period.
Now, Let two points on graph are, (0, 8000) and (8, 4000)
Since, The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Hence, on substituting the values in above result, we get;
y - 8000 = (4000 - 0) / (8 - 0) (x - 0)
y - 8000 = 500x
y = 500x + 8000
Thus, The correct equation is,
y = 500x + 8000
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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500 (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825 (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
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What is 5x6 + (5x5-5) to the 2nd power
Answer: 2500
Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. 1: √3
B. √2:√√3
C. 1: √2
D. √ √√3
DE √ √√2
F. 25: 6
It should be noted that the ratio between the lengths of the two legs is B. 1: ✓3.
It should be noted that the ratio between the lengths of the two legs will be equal to the tangent.
In this case, tan (30°) = ✓3/3
Tan (60°) = ✓3
Therefore, the ratio between the lengths of the two legs of a 30-60-90 triangle will be 1 : ✓3.
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What value of x satisfies the equation −1.5x−2.7=20.1+4.5x
The value of x that satisfies the equation -1.5x - 2.7 = 20.1 + 4.5x is -3.8.
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by using basic algebraic operations, such as adding, subtracting, multiplying or dividing both sides of the equation by the same value.
The first step in solving this equation is to get rid of the constant terms on one side of the equation. We can do this by adding 2.7 to both sides of the equation:
-1.5x - 2.7 + 2.7 = 20.1 + 4.5x + 2.7
Simplifying the left-hand side of the equation, we get:
-1.5x = 20.1 + 4.5x + 2.7
Next, we can move the variable terms to the left side of the equation and the constant terms to the right side of the equation by subtracting 4.5x from both sides:
-1.5x - 4.5x = 20.1 + 2.7
Simplifying the left-hand side, we get:
-6x = 22.8
Finally, we can solve for x by dividing both sides of the equation by -6:
x = -3.8
Therefore, the value of x that satisfies the equation -1.5x - 2.7 = 20.1 + 4.5x is -3.8.
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After the party, a bag of ice weighs 7/8 pound. Before the party, the bag of ice weighed 3 times as much. How many pounds did the bac
party?
Drag the pointer to its correct location on the number line to show the weight of the bag of ice before the party.
3
4
Weight of Bag of Ice Before Party
2
4
Finish Late
The weight before the party could be any positive number
The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:
x - weight used at the party = 7/8
We know that the weight used at the party is the weight before the party minus the weight after the party.
So we can substitute 3x for the weight before the party:
3x - (7/8) = weight used at the party
We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.
So we can set up another inequality:
weight used at the party ≤ 3x
Putting it all together:
3x - (7/8) ≤ 3x
Simplifying:
-(7/8) ≤ 0
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Martin is training for a marathon. His plan is to keep a consistent pace plan is to keep throughout the race. Using the data from the table, create a linear model that shows the miles Martin has run as the input, and the total time, in minutes, he has been running as the output.
Miles 5 9 20 Total Time 60 104 225
Miles is the number of miles Martin has run, and Total Time is the total time in minutes that he has been running, which is 11Miles + 5.
To create a linear model, we need to find the equation of the line that best fits the data.
We can do this by finding the slope and y-intercept of the line.
First, we need to find the slope, which is the change in y divided by the change in x.
We can choose any two points on the line to calculate the slope.
Let's use the first and second data points:
Slope = (y2 - y1) / (x2 - x1)
Slope = (104 - 60) / (9 - 5)
Slope = 44 / 4
Slope = 11
Now we can use the point-slope form of the equation of a line to find the y-intercept.
We can use the first data point:
The linear model has the form y = mx + b, where y represents the total time (in minutes), x represents the miles run, m is the slope, and b is the y-intercept.
We can use the data points to find the slope (m) as follows: m = (change in total time) / (change in miles)
Using the first two data points, (5, 60) and (9, 104):
m = (104 - 60) / (9 - 5) = 44 / 4 = 11
Now that we have the slope, we can find the y-intercept (b) using one of the data points.
Let's use (5, 60): 60 = 11 * 5 + b 60 = 55 + b b = 5
So the linear model representing Martin's pace is: y = 11x + 5 In this model, x is the miles run, and y is the total time in minutes.
y - y1 = m(x - x1)
y - 60 = 11(x - 5)
y - 60 = 11x - 55
y = 11x + 5
So the linear model that shows the miles Martin has run as the input, and the total time, in minutes, he has been running as the output is
Total Time = 11Miles + 5
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Use the figures below for the problems on this page.
Write the volume of each figure. Write your answers in terms of π, and
Answer:
Step-by-step explanation:
A: V = πr²h
B: V = 1/3π(2r)²(2h) = 1/3π(4r²)(2h) = 1/3π8r²h = 8/3πr²h
C: V = π(2r)²(2h) = π(4r²)(2h) = π8r²h = 8πr²h
D: V = 1/3πr²(2h) = 2/3πr²h
Which expression has the greatest quotient? (1 point) –20 ÷ –5 8 ÷ –4 –6 ÷ –3 12 ÷ –3
Answer:
-2
Step-by-step explanation:
The expression with the greatest quotient can be found by computing each expression and comparing the results.
-20 ÷ -5 = 4
8 ÷ -4 = -2
-6 ÷ -3 = 2
12 ÷ -3 = -4
Therefore, the expression with the greatest quotient is -2, since it has the largest absolute value.
What is the slope of the line that contains the points (−3, −1) and (3, 8)?
two thirds
three halves
Undefined
0
Answer:
m = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 8 )
m = [tex]\frac{8-(-1)}{3-(-3)}[/tex] = [tex]\frac{8+1}{3+3}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex]
Answer:
3/2
Step-by-step explanation:
To find the slope, we use the slope formula
m = ( y2-y1)/(x2-x1)
= (8- -1)/( 3 - -3)
= (8+1)/(3+3)
= 9/6
= 3/2
is
Integer Concepts with a Number Line - Item 30985
units to the
is 13 units to the left of 0.
Use the drop-down menus to complete the statement about -x.
of 0.
CLE
The required, -x is also 13 units from 0, but to the right of 0 instead of to the left.
The statement about -x is that it is 13 units to the right of 0. This is because the original number, which is 13 units to the left of 0, is represented by a point on the number line to the left of 0. If we negate this number to get -x, then we are reflecting it across the origin (0) to the right side of the number line. This means that the distance of -x from 0 is the same as the distance of the original number from 0, which is 13 units.
Therefore, -x is also 13 units from 0, but to the right of 0 instead of to the left.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The solution to a system of two linear equations is x = 3; y = 9. the following response is form the solution
1. From the origin, move 3 units right and 9 units up
2. The point of intersection of the two lines
3.Yes, if both lines are the same exact line
4. Can you have exactly two solutions to a Linear system of equations?
5. No, because lines are straight
6. Yes, if the lines are parallel
What are parallel lines?Parallel lines refers to lines that has equal slopes, such lines do no intersect each other at any point.
Hence we say that no solution is obtained in when linear equations turns out to be parallel lines.
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from the rope 8 m long, two pieces of length 15/7 m and 29/9m were cut.what is the length of remaining rope
The length of the remaining rope is 166/63 meters, or approximately 2.635 meters when rounded to three Decimal places.
To find the length of the remaining rope, we need to subtract the sum of the lengths of the two pieces that were cut from the original length of the rope.
Original length of the rope = 8 m
Length of the first piece cut = 15/7 m
Length of the second piece cut = 29/9 m
Therefore, the length of the remaining rope can be found as:
Remaining length = Original length - Length of first piece - Length of second piece
Remaining length = 8 - 15/7 - 29/9
To perform the subtraction, we need to find a common denominator for 7 and 9, which is 63.
Remaining length = 504/63 - 135/63 - 203/63
Remaining length = (504 - 135 - 203)/63
Remaining length = 166/63
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 1.
Remaining length = 166/63 meters
Therefore, the length of the remaining rope is 166/63 meters, or approximately 2.635 meters when rounded to three decimal places.
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Which graph shows the solution to the system of linear inequalities?
2x - 3y <12
y < =2
The solution to the system of linear inequalities is the shaded region that satisfies both inequalities.
We have,
To find the solution to the system of linear inequalities:
2x - 3y < 12
y ≤ 2
We first graph the line 2x - 3y = 12:
To graph the line, we can find the x and y intercepts:
When x = 0, we have -3y = 12, then y = -4, so (0, -4) is a point on the line.
When y = 0, we have 2x = 12, then x = 6, so (6, 0) is a point on the line.
Plot these two points and draw the line passing through them:
Next, we shade the region that satisfies the inequality 2x - 3y < 12:
We can choose a test point not on the line, such as (0,0).
Substitute the coordinates into the inequality:
2(0) - 3(0) < 12, which is true.
Now,
We shade the region that satisfies the inequality y ≤ 2:
We shade the region below the horizontal line y = 2:
Therefore,
The solution to the system of linear inequalities is the shaded region that satisfies both inequalities.
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Trains to Aybrin leave the station every 35 minutes. Trains to Bleechtree leave the station every 40 minutes. Trains to both places leave at 7am. What is the next time trains to Aybrin and Bleechtree leave the station together?
The next time trains to Aybrin and Bleechtree leave the station together is 280 minutes (or 4 hours and 40 minutes) after 7 am.
To find the next time trains to Aybrin and Bleechtree leave the station together, we need to determine the least common multiple (LCM) of 35 and 40, which represents the time interval at which both train schedules align.
The prime factorization of
35 = 5 x 7,
and 40 = 2 x 2 x 2 x 5
Now, the highest power of each prime factor that appears in either factorization.
So the LCM of 35 and 40 = 2 x 2 x 2 x 5 x 7 = 280.
Therefore, the next time trains to Aybrin and Bleechtree leave the station together is 280 minutes (or 4 hours and 40 minutes) after 7 am.
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If the point A (5,4) is rotated 90 degrees clockwise about the point (0,1),what are the coordinates of the point A'?
Answer:
To rotate a point 90 degrees clockwise about another point, you can follow these steps:
1. Subtract the coordinates of the center of rotation from the coordinates of the point you want to rotate to translate the center of rotation to the origin.
A translated point A would be: (5 - 0, 4 - 1) = (5, 3)
2. Perform the rotation by swapping the x and y coordinates and negating the new x-coordinate.
The rotated point A' would be: (3, -5)
3. Add the coordinates of the original center of rotation to the rotated coordinates to translate the origin back to the center of rotation.
The final coordinates of point A' would be: (3 + 0, -5 + 1) = (3, -4)
Therefore, the coordinates of point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).PLS HELP HURRY Mr. Little predicts that the median of the second test’s scores will increase by 20% from the median of the first test scored. Enter mr littles prediction for the second tests median score in the response box.
Little's prediction for the second tests median score is 84
Calculating Little's prediction for the second tests median scoreFrom the question, we have the following parameters that can be used in our computation:
The dot plot
The median is the middle number on the dot plot
From the dot plot, the middle number is
Middle = 70
This means that
Median = 70
For the new prediction, we have
New median = 70 * (1 + 20%)
Evaluate
New median = 84
Hence, Little's prediction for the second tests median score is 84
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A baker used 33 3/4 cups of flour to make
4
15 batches of cookies. How many more cups
of flour does the baker need if she wants to
make 21 batches of cookies?
The baker would need 47. 25 cups of floor
How to determine the valueWe need to know that proportion is a form of mathematical comparison with two equations made equal to each other.
From the information given, we have that;
baker used 33 3/4 cups of flour to make 15 batches of cookies
This is represented as;
Convert to improper fractions
135/4 cups = 15 batches of cookies
Then, x cups = 21 batches of cookies
cross multiply the values
15x = 708. 75
Divide both sides by the coefficient of x, we have ;
x = 708. 75/15
x = 47. 25 cups of floor
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please help me with my geometry i cant fail this class or i’ll have to move out of my parents house :(
The required dimensions are
22. x = 9.45
23. perimeter = 198.2
24. angle NSR = 110
25. x = 10
How to find the required dimensions22. The value of x is solved using Pythagoras theorem
x² = (7.4 + 4.6)² - 7.4²
x² = 144 - 54.76
x = √89.24 = 9.45
23. perimeter of tringle GHI
solving for x
7x + 4 = 12x - 20
x = 4.8
perimeter = 52 + (52 - 15 + 7x + 4) + 15 + 12x - 20
perimeter = 52 + (52 - 15 + 7(4.8) + 4) + 15 + 12(4.8) - 20
perimeter = 198.2
24. angle NSR = 1/2 (170 + 50 )
angle NSR = 1/2 (220) = 110
25.
angle V = 1/2 * 290 = 145
4x - 5 + 145 = 180
4x - 5 + 145 = 180
4x + 140 = 180
4x = 40
x = 10
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URGENT please and thank you
The transformations that when applied to a triangle on a coordinate grid that would preserve congruence are
(x, y) -> (x + 7, y - 8)
A reflection of the triangle across the x-axis
What is rigid transformations?Rigid transformations refer to transformations in geometry that preserve shape and size
In other words when an object is transformed using a rigid transformation the object does not change its size or shape hence preserving congruence.
The types of rigid transformations translations rotations and reflections.
The first transformation: (x, y) -> (x + 7, y - 8)
is a translation of 7 units to the right and translation of 8 units down
While a reflection of the triangle across the x-axis also preserves congruence
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Convert 40 cups per minute to gallons per hour. Note: 1 pint is 2 cups, 1 quart is 2 pints and 1 gallons is 4 quarts.
Answer: 40 cups per min = 2.5 gallons per hour
Step-by-step explanation:
