What denominator for 21/3=49/? would make these ratios proportional?
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.
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.
To find the denominator that would make the ratios proportional, you can use the concept of cross-multiplication.
The given ratio is 21/3 = 49/?
To make the ratios proportional, we need to find a denominator that yields the same cross-multiplication result as the given ratio.
Cross-multiplying, we have:
21 * ? = 3 * 49
Now, we can solve for the unknown denominator by dividing both sides of the equation by 21:
? = (3 * 49) / 21
To simplify further, you can divide the numerator by their greatest common divisor, which is 3 in this case:
? = (49/7) * (3/3)
Simplifying the expression, we have:
? = 7 * 1
Therefore, the denominator that would make the ratios proportional is 7.
So, 21/3 = 49/7 would be proportional.
To determine the denominator that would make the ratios proportional, we need to set up a proportion based on the given information. The ratio 21/3 is equivalent to 7/1, as 21 divided by 3 is 7. So, we have the proportion:
7/1 = 49/x
To solve for x, we can cross-multiply:
7 * x = 1 * 49
7x = 49
Dividing both sides of the equation by 7, we get:
x = 49 / 7
Simplifying the division, we find:
x = 7
Therefore, the denominator that would make the ratios proportional is 7.
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.
Which fraction is a unit rate you can use to solve a ratio problem?
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.
Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would
make in 5 hours.