Answer:
6 years
Step-by-step explanation:
Let x be the year that Dianne is 5 times older than her daughter, which is also her daughter's age.
So Dianne's age would be 5x
But Dianne is also 24 years older than her daughter
so 5x = x + 24
We can solve this equation for x
4x = 24
x = 6
After 6 years, Dianne will be 30 years old, and her daughter will be 6 years old.
Answer:
79
Step-by-step explanation:
The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.
Answer:
1/100 to 25/100
or
0.01 to 0.25
Step-by-step explanation:
Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.
Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.
Answer:
200 ft or 280 ft
Step-by-step explanation:
Given that the barn forms one end of the rectangle, the farmer would not need to fence that side. However, since we don't know where the end of the rectangle formed by the barn is the width or the length, than there are two possible solutions. In order to find out the possible solutions, setting up an equation to find the length and width of the rectangle is necessary:
length = 'three times the width' = 3w
width = w
Perimeter = 2(3w) + 2w = 320
Combine like terms 6w + 2w = 320 or 8w = 320
Divide and solve: w = 40 ft
Again, the side of the barn could be the width (40ft) or the length (3x40 = 120ft). Since we don't know which one, we take the total perimeter (320ft) and subtract the width and length:
320 ft - 40 ft = 280 ft
320 ft - 120 ft = 200 ft