What denominator for 21 over 3 = 49 over ? would make these ratios proportional?
To make the ratios proportional, we need to find out what denominator for 21 over 3 would produce an equivalent fraction to 49 over ?.
To do this, we can set up a proportion:
21/3 = 49/x
To solve for x, we can cross-multiply:
21 * x = 3 * 49
x = (3 * 49) / 21
x = 7
Therefore, a denominator of 7 for the fraction 49 over 7 would make the ratios proportional.
Bob is selling tacos. He averages 4 tacos every 3 days. If he continues at this rate, how many days will it take to sell 36?
To find out how many days it will take for Bob to sell 36 tacos, we can set up a proportion:
4 tacos / 3 days = 36 tacos / x days
To solve for x, we can cross-multiply:
4 * x = 3 * 36
4x = 108
x = 27
Therefore, it will take Bob 27 days to sell 36 tacos if he continues at a rate of 4 tacos every 3 days.
which fraction is a unit you can use to solve a ratio problem?
A) 3 over 4
B) 7 over 5
C) 27 over 1
D) 1 over 27
A unit fraction is a fraction with a numerator of 1. Therefore, the unit fraction that can be used to solve a ratio problem is:
D) 1 over 27.
why
A unit fraction is a fraction where the numerator represents one unit or part of a whole. In a ratio problem, we often compare quantities or parts to each other. Using a unit fraction allows us to compare one part to the whole or to other parts.
In the given answer choices, option D) 1 over 27 is the only fraction that has a numerator of 1, making it a unit fraction.
James gets paid $75 per week to build 8 computers. Which equation would represent how to compute his wage for each computer?
A) 75 over 7 = x over 1
B) 75 over 8 = x over 1
C) 8 over 75 = x over 1
D) 75 over 7 = 8 over x
The equation that would represent how to compute James's wage for each computer is:
B) 75 over 8 = x over 1
Here, 75 represents the total wage James receives for the week, and 8 represents the number of computers he builds. We are trying to find the wage per computer, represented by x. The equation states that the ratio of James's wage ($75) to the number of computers he builds (8) is equal to the ratio of x (wage per computer) to 1.
To find the missing denominator that would make the ratios proportional, we can use a proportion equation. The given ratios are:
21/3 = 49/x
To solve for x (the missing denominator), we can cross-multiply:
21 * x = 3 * 49
Now, we can simplify the equation:
21x = 147
To isolate x, divide both sides of the equation by 21:
x = 147/21
Simplifying further:
x = 7
Therefore, the missing denominator that would make the ratios proportional is 7.