Answer:
112
Step-by-step explanation:
We can write the equation for the direct variation:
y = kx
34 = k(17)
34/17 = k = 2
Then for the new x-value:
y = 2(56) = 112
The value of y is 112 when x = 56.
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Or, we can write the relation as a proportion:
y/56 = 34/17
y = 56(34/17) = 112
Answer:
24 square units
Step-by-step explanation:
For Trapezoid
a = 8
b = 4
h = 4
Area of Trapezoid
<em><u>A = a + b/2 * h</u></em>
= 8 + 4/2 * 4
= 12/2 *4
= 6 * 4
= 24
Thus, the area of the trapezoid is <em><u>24 square units</u></em>
<h3>
Answer: 99 and 88</h3>
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Explanation:
The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8
Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.
The numbers 9x and 8x add up to 187, so,
9x+8x = 187
17x = 187
x = 187/17
x = 11
Which then means
- 9x = 9*11 = 99
- 8x = 8*11 = 88
are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.
