The rectangle is 7 x 4 so the area is 28 sq cm
The triangle has a base of 4 and a height of 3.
The formula is A = 1/2 * b*h
You have 2 triangles so:
2(1/2)*4*3= 12 sq cm
Add together:
28 + 12= 40 sq cm
Answer: 29 miles per gallon.
Reasoning: 856 miles/29.4 gallons = 29.1156462585 (rounded to the nearest mile = 29)
Hope this helped!
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
![64^\frac{2}{3} = \sqrt[3]{64^{2}}\\](https://tex.z-dn.net/?f=64%5E%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Csqrt%5B3%5D%7B64%5E%7B2%7D%7D%5C%5C)
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
![64^\frac{x}{y} = \sqrt[y]{64^{x}}](https://tex.z-dn.net/?f=64%5E%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Csqrt%5By%5D%7B64%5E%7Bx%7D%7D)
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
<u>Simplify (if you want to)</u>
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64 to the power of 2/3 is 16.
Answer:
Number of volleyballs bought = 8
Number of basketballs bought = 11
Step-by-step explanation:
Given that:
Total amount spent = $204.20
Let,
x be the number of volleyballs
y be the number of basketballs
According to given statement;
y = x+3 Eqn 1
8.20x+12.60y=204.20 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
8.20x + 12.60(x+3) = 204.20
8.20x + 12.60x + 37.80 = 204.20
20.80x = 204.20 - 37.80
20.80x = 166.40
Dividing both sides by 20.80

Putting x=8 in Eqn 1
y = 8+3 = 11
Hence,
Number of volleyballs bought = 8
Number of basketballs bought = 11