Answer:
224 inches cubed.
Step-by-step explanation:
Because the area of a square is 16 square inches, the side length is 4 inches. This is because a square's formula for area is the side squared.
Since the box is 14 inches tall, we multiply 4 inches by 4 inches by 14 inches. This means the answer is 224 inches cubed.
We also notice we don't need a measurement for the base sides, we only need to multiply the area by the height.
The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
Read more about equivalent expression at
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Answer:
0.77
Step-by-step explanation:
If you had to round to the nearest tenth, 0.89 would round to 0.9. 0.74 would round down to 0.7. 0.85 would also round up to 0.9, which leaves the last answer, 9.77 to be rounded to 0.8. Hope this helps
Numerators will be equal after the multiplication.
Answer:
x= 20
y = 60
Step-by-step explanation:
y = 3x
6(3x) = 360
3x = 360/6
3x = 60
x = 20
y = 3*20
y = 60