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SOVA2 [1]
2 years ago
7

The value of y varies directly with x and inversely with

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

Answer:

x = 45 when y = 20 and z = 6

Step-by-step explanation:

The general formula here is y = kx/z²

If x = 24 and y = 6, z = 8, so:

y = kx/z² becomes 6 = k(24)/8², and:

             6                   1

k = ---------------- = -------------- = 16

         24/64            4/64

Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:

20 = 16x/36, or 16x = 720, or x = 45

x = 45 when y = 20 and z = 6

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Level 3<br> Solve: |x + 2|– 5 = -1
leonid [27]

Answer:

x=−6

x=2

Step-by-step explanation:

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

∣x+2∣−5=−1

Add 5 to both sides of the equation.

∣x+2∣=4

Use the definition of absolute value.

x+2=4

x+2=−4

Subtract 2 from both sides of the equation.

x=2

x=−6

6 0
3 years ago
Thomas drove 230 miles in 4 hours. What is the ratio of miles to hour in lowest terms? 230-4 4.230 115:2 2:115 2​
alexgriva [62]

Answer:

the ratio is

miles/hour

= 230/4

= 115/2

so the ratio is 115:2

6 0
2 years ago
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand
romanna [79]

Answer:

A

Step-by-step explanation:

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

So the answer is 1

That means, that 68% is the answer.

7 0
3 years ago
Read 2 more answers
1/9, -0.1, -2/12 in order
Basile [38]

Answer:

-2/12, -0.1, 1/9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What's the slope of -4,6 and 3,-8
notsponge [240]

Answer:

The slope is -2

Step-by-step explanation:

(-4,6) (3,-8)

(y₂ - y₁) / (x₂ - x₁)

((-8) - (6)) / ((3) - (-4))

(-8 - 6) / (3 + 4)

-14/7 = -2

4 0
3 years ago
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