To calculate the unit rate, we need to divide the amount of dried fruit crushed by the time it took to crush it.
Step 1: Convert 3 1/4 kilograms to an improper fraction.
3 1/4 = (4*3) + 1 = 13/4
Step 2: Calculate the unit rate.
Unit rate = (3 1/4) / (3/4) = (13/4) / (3/4)
Unit rate = 13/3 = 4 1/3
Therefore, the unit rate at which the machine crushes dried fruits is D. 4 1/3.
A processing machine crushes 3 1/4 kilograms of dried fruit(s) in 3/4 minute.
What is the unit rate at which the machine crushes dried fruits?
A. 3/13
B. 16/39
C. 2 7/16
D. 4 1/3
9 answers
The average of hair growth is 2.5 centimeters every 2 months.
At that rate how many months will it take to grow 22.5 centimeters of hair?
At that rate how many months will it take to grow 22.5 centimeters of hair?
To find out how many months it will take to grow 22.5 centimeters of hair at a rate of 2.5 centimeters every 2 months, we need to set up a proportion.
Let x be the number of months it will take to grow 22.5 centimeters.
Using the information given:
2.5 centimeters in 2 months
x centimeters in x months
We can set up the proportion:
2.5 / 2 = 22.5 / x
To solve for x, cross multiply:
2.5 * x = 2 * 22.5
2.5x = 45
x = 45 / 2.5
x = 18
Therefore, it will take 18 months to grow 22.5 centimeters of hair at a rate of 2.5 centimeters every 2 months.
Let x be the number of months it will take to grow 22.5 centimeters.
Using the information given:
2.5 centimeters in 2 months
x centimeters in x months
We can set up the proportion:
2.5 / 2 = 22.5 / x
To solve for x, cross multiply:
2.5 * x = 2 * 22.5
2.5x = 45
x = 45 / 2.5
x = 18
Therefore, it will take 18 months to grow 22.5 centimeters of hair at a rate of 2.5 centimeters every 2 months.
During cooking a chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken how many grams of uncooked chicken must be used?
Since a chicken loses 10% of its weight during cooking, it means you will end up with 90% of the original weight after cooking.
Let x be the weight of the uncooked chicken.
After cooking, the weight of the cooked chicken is 90% of the weight of the uncooked chicken:
0.9x = 1170
To solve for x:
x = 1170 / 0.9
x = 1300
Therefore, 1,300 grams of uncooked chicken must be used in order to obtain 1,170 grams of cooked chicken after accounting for the 10% weight loss during cooking.
Let x be the weight of the uncooked chicken.
After cooking, the weight of the cooked chicken is 90% of the weight of the uncooked chicken:
0.9x = 1170
To solve for x:
x = 1170 / 0.9
x = 1300
Therefore, 1,300 grams of uncooked chicken must be used in order to obtain 1,170 grams of cooked chicken after accounting for the 10% weight loss during cooking.
A satellite is 18 centimeters wide. A model of it was built with a scale of 1 centimeter : 3 meters. How wide is the model?
To find the width of the model, you need to use the scale factor provided in the problem.
The scale given is 1 centimeter : 3 meters. This means that every 1 centimeter on the model represents 3 meters in real life.
Since the satellite is 18 centimeters wide, you need to multiply this width by the scale factor to find the width in meters:
Width of model = 18 centimeters * 3 meters/centimeter
Width of model = 54 meters
Therefore, the model of the satellite is 54 meters wide.
The scale given is 1 centimeter : 3 meters. This means that every 1 centimeter on the model represents 3 meters in real life.
Since the satellite is 18 centimeters wide, you need to multiply this width by the scale factor to find the width in meters:
Width of model = 18 centimeters * 3 meters/centimeter
Width of model = 54 meters
Therefore, the model of the satellite is 54 meters wide.
Find the constant (k) of proportionality in the table.
x: 2, 3, 8, 10
y: 8, 12, 32, 40
What equation represents the table?
x: 2, 3, 8, 10
y: 8, 12, 32, 40
What equation represents the table?
To find the constant of proportionality (k) in the table, we can select two corresponding values for x and y and set up a proportion.
Let's choose the first pair (2, 8) and the second pair (3, 12) to find k.
For the first pair:
x = 2, y = 8
8 = k * 2
k = 8 / 2
k = 4
For the second pair:
x = 3, y = 12
12 = 4 * 3
Since the value of k is 4, the equation representing the table in the form of y = kx is:
y = 4x
Let's choose the first pair (2, 8) and the second pair (3, 12) to find k.
For the first pair:
x = 2, y = 8
8 = k * 2
k = 8 / 2
k = 4
For the second pair:
x = 3, y = 12
12 = 4 * 3
Since the value of k is 4, the equation representing the table in the form of y = kx is:
y = 4x
3 answers