To determine the missing denominator that would make the ratios proportional, we can cross multiply:
(21/3) = (49/x)
Cross multiplying gives us:
21 * x = 3 * 49
Now, solve for x by dividing both sides of the equation by 21:
x = (3 * 49) / 21
x = 147/21
Simplifying the fraction 147/21:
x = 7
Therefore, the denominator that would make the ratios proportional is 7.
What denominator for 21/3=49/? would make these ratios proportional?
13 answers
Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at
this rate, how many days will it take to sell his box of 36? Your answer should be a whole number.
this rate, how many days will it take to sell his box of 36? Your answer should be a whole number.
To determine how many days it will take for Nigel to sell his box of 36 candy bars at an average rate of 4 bars every 3 days, we need to set up a proportion.
Let x represent the number of days it will take to sell the box of 36 candy bars.
We can set up the proportion as:
4 bars / 3 days = 36 bars / x days
Now we cross-multiply:
4 * x = 3 * 36
4x = 108
Divide both sides of the equation by 4 to solve for x:
x = 108 / 4
x = 27
Therefore, it will take Nigel 27 days to sell his box of 36 candy bars.
Let x represent the number of days it will take to sell the box of 36 candy bars.
We can set up the proportion as:
4 bars / 3 days = 36 bars / x days
Now we cross-multiply:
4 * x = 3 * 36
4x = 108
Divide both sides of the equation by 4 to solve for x:
x = 108 / 4
x = 27
Therefore, it will take Nigel 27 days to sell his box of 36 candy bars.
Which fraction is a unit rate you can use to solve a ratio problem?
27/1
7/5
1/27
3/4
27/1
7/5
1/27
3/4
A unit rate refers to a ratio that compares a quantity to one unit of another quantity. In this case, the fraction that represents a unit rate is 27/1.
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.
To determine how many days it will take for Jamal to fill an order of 75 toys at an average rate of 8 toys every 5 days, we can set up a proportion.
Let x represent the number of days it will take to fill the order of 75 toys.
We can set up the proportion as:
8 toys / 5 days = 75 toys / x days
Now, we cross-multiply:
8 * x = 5 * 75
8x = 375
Divide both sides of the equation by 8 to solve for x:
x = 375 / 8
x ≈ 46.875
Rounding to the nearest whole number, it will take Jamal approximately 47 days to fill an order of 75 toys.
Let x represent the number of days it will take to fill the order of 75 toys.
We can set up the proportion as:
8 toys / 5 days = 75 toys / x days
Now, we cross-multiply:
8 * x = 5 * 75
8x = 375
Divide both sides of the equation by 8 to solve for x:
x = 375 / 8
x ≈ 46.875
Rounding to the nearest whole number, it will take Jamal 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.
make in 5 hours.
To determine how many whole donuts Ramon would make in 5 hours using a unit rate, we need to find the number of donuts made per hour.
The unit rate can be calculated by dividing the total number of donuts by the total number of hours:
33 donuts / 7 hours = 4.71 donuts per hour (rounded to two decimal places)
The unit rate indicates that Ramon makes approximately 4.71 donuts per hour.
To find how many whole donuts he would make in 5 hours, we can multiply the unit rate by the number of hours:
4.71 donuts per hour * 5 hours = 23.55 donuts
Since we cannot have a fraction or partial donut, we round down to the nearest whole number. Therefore, Ramon would make 23 whole donuts in 5 hours.
The unit rate can be calculated by dividing the total number of donuts by the total number of hours:
33 donuts / 7 hours = 4.71 donuts per hour (rounded to two decimal places)
The unit rate indicates that Ramon makes approximately 4.71 donuts per hour.
To find how many whole donuts he would make in 5 hours, we can multiply the unit rate by the number of hours:
4.71 donuts per hour * 5 hours = 23.55 donuts
Since we cannot have a fraction or partial donut, we round down to the nearest whole number. 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
wage for each yard?
75/7 = 8/x
75/8 = x/1
75/7 = x/1
8/75 = x/1
wage for each yard?
75/7 = 8/x
75/8 = x/1
75/7 = x/1
8/75 = x/1
The equation that represents how to compute Raquel's wage for each yard is:
75/8 = x/1
This equation shows that Raquel earns 75 dollars for mowing 8 yards. To find her wage for each yard (represented as x), we set up a proportion by equating the ratio of her total earnings to the total number of yards with the ratio of her wage per yard to 1.
75/8 = x/1
This equation shows that Raquel earns 75 dollars for mowing 8 yards. To find her wage for each yard (represented as x), we set up a proportion by equating the ratio of her total earnings to the total number of yards with the ratio of her wage per yard to 1.
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?
many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?
To find out how many pints of paint Jesse uses for each painting, we can divide the total pints of paint used by the number of paintings:
13 pints / 5 paintings = 2.6 pints per painting
Therefore, Jesse uses 2.6 pints of paint for each painting.
To determine how many paintings Jesse will complete if he uses 44 pints of paint, we can set up a proportion:
13 pints / 5 paintings = 44 pints / x paintings
Cross-multiplying:
13 * x = 5 * 44
13x = 220
Divide both sides of the equation by 13:
x = 220 / 13
x ≈ 16.92
Since we cannot have a fraction of a painting, Jesse will complete 16 paintings if he uses 44 pints of paint.
To calculate how many pints Jesse will need for 29 paintings, we can set up another proportion:
13 pints / 5 paintings = x pints / 29 paintings
Cross-multiplying:
13 * 29 = 5 * x
377 = 5x
Divide both sides of the equation by 5:
x = 377 / 5
x ≈ 75.4
Again, since we cannot have a fraction of a pint, Jesse will need approximately 75 pints of paint for 29 paintings.
13 pints / 5 paintings = 2.6 pints per painting
Therefore, Jesse uses 2.6 pints of paint for each painting.
To determine how many paintings Jesse will complete if he uses 44 pints of paint, we can set up a proportion:
13 pints / 5 paintings = 44 pints / x paintings
Cross-multiplying:
13 * x = 5 * 44
13x = 220
Divide both sides of the equation by 13:
x = 220 / 13
x ≈ 16.92
Since we cannot have a fraction of a painting, Jesse will complete 16 paintings if he uses 44 pints of paint.
To calculate how many pints Jesse will need for 29 paintings, we can set up another proportion:
13 pints / 5 paintings = x pints / 29 paintings
Cross-multiplying:
13 * 29 = 5 * x
377 = 5x
Divide both sides of the equation by 5:
x = 377 / 5
x ≈ 75.4
Again, since we cannot have a fraction of a pint, Jesse will need approximately 75 pints of paint for 29 paintings.
9 answers