The equation is y = 63/x
And y = 3 when x=21
Step-by-step explanation:
When y varies inversely with x, The inverse proportion is given by:
y ∝1/x
When the proportionality symbol is removed, a constant of proportionality is introduced
Putting y = 7 and x = 9
So,
Putting x =21
Hence,
The equation is y = 63/x
And y = 3 when x=21
Keywords: Proportion, variables
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Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So, =3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5
Answer:
8y^3z
Step-by-step explanation:
8, y^3 and z are common to both expressions. Thus, the GCF is 8y^3z.
ANSWER - x= 4
steps : 3 time x which is 3x and 3 times 2 then 9 times 6 which is 54 and 9 times x then add nine to both sides to cancel out the -9x then it’s 12x + 6 = 54 now subtract 6 from both sides and you get 12x = 48 now divide both sides by 12 and you get 4
Answer:
F) 63
Step-by-step explanation:
Find the original total stories 10 + 8 + 16 + 8 = 42.
Original ratio of Mary's stories to total stories is 8/42 or 4/21.
Then form equation 4/21 = 12/x ; multiply both sides of 4/21 by 3.
4/21 = 12/63
The students need to write 63 stories to keep the ratio of Mary's stories to total stories the same.