Answer: y = 7
Step-by-step explanation:
Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx
3 = k(9)
Step 2) Solve for k
3 = k(9) (Divide by 9 on both sides)
3/9 = k (Now simplify 3/9)
1/3 = k. So k = 1/3
*just FYI: “k” is the constant of variation.
Step 3) use the equation y = kx and plug in 1/3 for k
y = 1/3x
Step 4) using the equation y = 1/3x, plug in 21 for x.
y = 1/3(21) (1/3*21 is the same as 21/3)
y = 21/3 (21/3 = 7)
y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!
Hope this helps! My best wishes to you as you go through school!
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Answer:
Step-by-step explanation:
To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.
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Divide 80 by 2
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Hope I helped!
Best regards!!
