Mathematics, 27.06.2019 12:30 unknownyobutt21

Find the value of y when x = 4 in the equation 3x - 7/y = 1/3 show your work

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Answer from: savag3jitt

3(4)-7/y=1/3
12-7/y=1/3
-7/y=1/3-12
-7/y=-35/3
Change signs and cross multiply
21=35y
Y=3/5

Answer from: emilyanneK2540

y = ⅗

Step-by-step explanation:

3x – 7/y = 1/3 Substitute the value of x

3×4 – 7/y = 1/3

12 – 7/y = 1/3 Multiply each side by 3

36 – 21/y = 1 Subtract 36 from each side

-21/y = -35 Multiply each side by y

-21 = -35y Divide each side by -35

y = 21/35 Divide numerator and denominator by 7

y = ⅗

Check:

3×4 – 7/(⅗) = 1/3

12 -7×5/3 = 1/3

12 – 35/3 = 1/3

(36 – 35)/3 = 1/3

1/3 = 1/3

Answer from: Quest

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that $\frac{ab}{de}=\frac{bc}{ef}$ .

also, it is given that $\frac{ab}{de}=\frac{3}{4}$

so, from the options, we need that $\frac{bc}{ef}=\frac{3}{4}$ .

a. $\frac{bc}{ef}=\frac{6}{9}=\frac{2}{3}$

b. $\frac{bc}{ef}=\frac{4}{6}=\frac{2}{3}$

c. $\frac{bc}{ef}=\frac{8}{12}=\frac{2}{3}$

d. $\frac{bc}{ef}=\frac{12}{16}=\frac{3}{4}$

as, we can see that only option d gives the same ratio as $\frac{ab}{de}=\frac{3}{4}$ i.e. $\frac{bc}{ef}=\frac{3}{4}$ .

hence, the possible lengths are bc = 12 and ef = 16.

Answer from: Quest

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

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Find the value of y when x = 4 in the equation 3x - 7/y = 1/3 show your work...

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