Which fraction is a unit rate you can use to solve a ratio problem?(1 point)
Responses
127
Start Fraction 1 over 27 End Fraction
75
Start Fraction 7 over 5 End Fraction
271
Start Fraction 27 over 1 End Fraction
34
11 answers
The fraction that is a unit rate you can use to solve a ratio problem is Start Fraction 1 over 27 End Fraction.
Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point)
Responses
10 days
10 days
47 days
47 days
375 days
375 days
120 days
Responses
10 days
10 days
47 days
47 days
375 days
375 days
120 days
To solve this problem, we can set up a proportion:
8 toys / 5 days = 75 toys / x days
Cross multiplying, we get:
8x = 375
Dividing both sides by 8, we find:
x = 46.875
Rounding to the nearest whole number of days, it will take approximately 47 days to fill an order of 75 toys.
8 toys / 5 days = 75 toys / x days
Cross multiplying, we get:
8x = 375
Dividing both sides by 8, we find:
x = 46.875
Rounding to the nearest whole number of days, it will take approximately 47 days to fill an order of 75 toys.
Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.(1 point)
Responses
1
1
4
4
23
23
46
46
Responses
1
1
4
4
23
23
46
46
To determine how many whole donuts Ramon would make in 5 hours, we can use a unit rate.
Ramon makes 33 donuts every 7 hours, so the unit rate is 33 donuts / 7 hours.
To find how many donuts Ramon would make in 5 hours, we can set up a proportion:
33 donuts / 7 hours = x donuts / 5 hours
Cross multiplying, we get:
7x = 33 * 5
Simplifying, we find:
7x = 165
Dividing both sides by 7, we find:
x = 23
Therefore, Ramon would make 23 whole donuts in 5 hours.
Ramon makes 33 donuts every 7 hours, so the unit rate is 33 donuts / 7 hours.
To find how many donuts Ramon would make in 5 hours, we can set up a proportion:
33 donuts / 7 hours = x donuts / 5 hours
Cross multiplying, we get:
7x = 33 * 5
Simplifying, we find:
7x = 165
Dividing both sides by 7, we find:
x = 23
Therefore, Ramon would make 23 whole donuts in 5 hours.
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her
pay in terms of the number of yards she mows?
Let's assume that Raquel's pay is directly proportional to the number of yards she mows. In this case, we can use the equation y = kx, where y represents the pay, x represents the number of yards, and k represents the constant of proportionality.
Since Raquel gets paid $75 per week to mow 8 yards, we can use this information to find the value of k. We can set up a proportion:
75 / 8 = k
Using division, we find:
k = 9.375
Therefore, the equation that represents how to compute her pay in terms of the number of yards she mows is:
y = 9.375x
Let's assume that Raquel's pay is directly proportional to the number of yards she mows. In this case, we can use the equation y = kx, where y represents the pay, x represents the number of yards, and k represents the constant of proportionality.
Since Raquel gets paid $75 per week to mow 8 yards, we can use this information to find the value of k. We can set up a proportion:
75 / 8 = k
Using division, we find:
k = 9.375
Therefore, the equation that represents how to compute her pay in terms of the number of yards she mows is:
y = 9.375x
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Responses
875=x1
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction
758=x1
Start Fraction 75 over 8 End Fraction equals Start Fraction x over 1 End Fraction
757=x1
Start Fraction 75 over 7 End Fraction equals Start Fraction x over 1 End Fraction
757=8x
Responses
875=x1
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction
758=x1
Start Fraction 75 over 8 End Fraction equals Start Fraction x over 1 End Fraction
757=x1
Start Fraction 75 over 7 End Fraction equals Start Fraction x over 1 End Fraction
757=8x
To compute Raquel's wage for each yard, we can set up a proportion using the information provided.
We know that Raquel gets paid $75 per week to mow 8 yards.
Using this information, we can set up the following proportion:
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction
Therefore, the equation that represents how to compute her wage for each yard is:
Start Fraction 8 over 75 End Fraction = Start Fraction x over 1 End Fraction
We know that Raquel gets paid $75 per week to mow 8 yards.
Using this information, we can set up the following proportion:
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction
Therefore, the equation that represents how to compute her wage for each yard is:
Start Fraction 8 over 75 End Fraction = Start Fraction x over 1 End Fraction
Solve Ratio Problems with Proportions Quick Check
5 of 55 of 5 Items
Question
Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
Responses
Pints Paintings
13 5
2.6 1
44 114.4
75.4 29Pints Paintings 13 5 2.6 1 44 114.4 75.4 29
Pints Paintings
13 5
13 1
44 3.38
377 29Pints Paintings 13 5 13 1 44 3.38 377 29
Pints Paintings
13 5
2.6 1
44 16.92
75.4 29Pints Paintings 13 5 2.6 1 44 16.92 75.4 29
Pints Paintings
13 5
0.38 1
44 115.7
11.02 29Pints Paintings 13 5 0.38 1 44 115.7 11.02 29
5 of 55 of 5 Items
Question
Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
Responses
Pints Paintings
13 5
2.6 1
44 114.4
75.4 29Pints Paintings 13 5 2.6 1 44 114.4 75.4 29
Pints Paintings
13 5
13 1
44 3.38
377 29Pints Paintings 13 5 13 1 44 3.38 377 29
Pints Paintings
13 5
2.6 1
44 16.92
75.4 29Pints Paintings 13 5 2.6 1 44 16.92 75.4 29
Pints Paintings
13 5
0.38 1
44 115.7
11.02 29Pints Paintings 13 5 0.38 1 44 115.7 11.02 29
To find out how many pints Jesse uses for each painting, we can set up a proportion using the information provided:
13 pints / 5 paintings = x pints / 1 painting
Cross multiplying, we get:
5x = 13
Dividing both sides by 5, we find:
x = 2.6
Therefore, Jesse uses 2.6 pints for each painting.
To find out how many paintings Jesse will complete if he uses 44 pints, we can set up another proportion:
13 pints / 5 paintings = 44 pints / x paintings
Cross multiplying, we get:
13x = 44 * 5
Simplifying, we find:
13x = 220
Dividing both sides by 13, we find:
x = 16.92
Therefore, Jesse will complete approximately 16.92 paintings if he uses 44 pints.
To find out how many pints Jesse will need for 29 paintings, we can set up one more proportion:
13 pints / 5 paintings = x pints / 29 paintings
Cross multiplying, we get:
5x = 13 * 29
Simplifying, we find:
5x = 377
Dividing both sides by 5, we find:
x = 75.4
Therefore, Jesse will need 75.4 pints for 29 paintings.
13 pints / 5 paintings = x pints / 1 painting
Cross multiplying, we get:
5x = 13
Dividing both sides by 5, we find:
x = 2.6
Therefore, Jesse uses 2.6 pints for each painting.
To find out how many paintings Jesse will complete if he uses 44 pints, we can set up another proportion:
13 pints / 5 paintings = 44 pints / x paintings
Cross multiplying, we get:
13x = 44 * 5
Simplifying, we find:
13x = 220
Dividing both sides by 13, we find:
x = 16.92
Therefore, Jesse will complete approximately 16.92 paintings if he uses 44 pints.
To find out how many pints Jesse will need for 29 paintings, we can set up one more proportion:
13 pints / 5 paintings = x pints / 29 paintings
Cross multiplying, we get:
5x = 13 * 29
Simplifying, we find:
5x = 377
Dividing both sides by 5, we find:
x = 75.4
Therefore, Jesse will need 75.4 pints for 29 paintings.
2 answers