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This question is super easy to me.
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-Charlie
Answer: 16⅔ yds by 25 yds
Step-by-step explanation:
Let x be the length of 3 fence sections
Let y be the length of 2 fence sections
A = xy
3x + 2y = 100
y = 50 - 1.5x
A = x(50 - 1.5x) = 50x - 1.5x²
dA/dx = 50 - 3x
0 = 50 - 3x
3x = 50
x = 50/3 = 16⅔ yds
y = 50 - 1.5(16⅔) = 25 yds
29.9 percent in decimal is 0.299
He bought 19/24 pounds of grapes.
3 5
------- + ------- = 0
8 12
In adding fractions.
Step 1: make sure the denominators are the same. 8 and 12 are not the same. But both are factors of 24.
8 * 3 = 24
12 * 2 = 24
Multiply both numerator and denominator of 3/8 by 3 and 5/12 by 2.
3 * 3 5 * 2 9 10
--------- + ------------- = -------- + ---------
8 * 3 12 * 2 24 24
Step 2. Since the denominator is now the same, add the numerator and put it over the denominator.
9 + 10 19
---------- = -------
24 24
Step 3. Simplify the fraction.
19
----
24 is already the simplified form.