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Elanso [62]
3 years ago
13

Variables x, y, and z are integers such that xyz > 0. If xy=30, x/z=2/3, and z=9, what is the value of y?

Mathematics
1 answer:
Xelga [282]3 years ago
3 0
<h3>Answer:  5</h3>

Explanation:

Plug z = 9 into the second equation and solve for x.

x/z = 2/3

x/9 = 2/3

x = 9*(2/3)

x = 18/3

x = 6

This leads to

xy = 30

y = 30/x

y = 30/6

y = 5

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Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
marshall27 [118]

Answer:

2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9

8^(x-3) = 2^(3x-9)

Step-by-step explanation:

2⁴ × 8^(x - 3)

2⁴ × (2³)^(x-3)

2⁴ × 2^(3x - 9)

Since the bases are same now, powers can be added

2^(4 + 3x - 9)

2^(3x - 5)

4 0
3 years ago
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What is the GCF for: 3x^3 -4x^2
serg [7]
3x^3 - 4x^2
x^2(3x - 4)
5 0
2 years ago
The variable y varies directly with the variable x.
Tomtit [17]

Answer:

I believe it is 21

Step-by-step explanation:

5 0
3 years ago
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Which equations are equivalent to Y=2/3X-4 when written in slope-intercept form? Check all that apply. A =3X-2Y=4. B=2X-3Y=12. C
klemol [59]

Answer:

B and C

Step-by-step explanation:

Rearrange each equation into slope- intercept form

A

3x - 2y = 4 ( subtract 3x from both sides )

- 2y = - 3x + 4 ( divide all terms by - 2 )

y = \frac{3}{2} x - 2 ← not equivalent

B

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 2 )

y = \frac{2}{3} x - 4 ← equivalent

C

- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )

2x - 3y = 12 ← same as B ⇒ equivalent

D

2(x + 6) = 3y

3y = 2x + 12 ( divide all terms by 3 )

y = \frac{2}{3} x + 4 ← not equivalent

E

2x - 3y = 4 ( subtract 2x from both sides )

- 3y = - 2x + 4 ( divide all terms by - 3 )

y = \frac{2}{3} x - \frac{4}{3} ← not equivalent



4 0
3 years ago
Read 2 more answers
PHOTO ABOVE <br> (13x-57). (6x-10). Z. <br> Find the values of x and z
Lera25 [3.4K]
X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
4 0
3 years ago
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