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fiasKO [112]
3 years ago
10

The variable x varies jointly with y and z. Use x=2, y=4, z=1 to write an equation relating x, y

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Equation is x=\frac{1}{2}yz and when y=2 and z=4, x will be 4.

Step-by-step explanation:

Given:

x varies jointly with y and z.

It also means x is directly proportional to y and z.

x=2, y =4,z=1

From above values we can compute the equation as.

x=\frac{1}{2}yz\\2= \frac{1}{2} \times 4 \times 1\\2=2

Hence the Equation is x=\frac{1}{2}yz

Now y=2 and z=4 we get.

x=\frac{1}{2}\times 2 \times 4= 4

Hence when y=2 and z=4, x will be 4.

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2) Lucy spent $15, 500 to purchase a new car this year. Lucy can expect her car to depreciate at a rate of 7% per year.
Lelechka [254]

Answer:

<u>Equation: V = C * (1 - r)^t</u>

<u>Answer: $ 8,066.37</u>

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 15,500 * (1 - 0.07)⁹

V = 8,066.37 (rounding to the next cent)

5 0
3 years ago
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the
IgorLugansk [536]
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
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3 years ago
Find the height of a paralleogram, if its area is 84square inches, its base is 12 inches, and its height is respresented by x +
Ghella [55]
Hope you are having clear concept on this.

4 0
3 years ago
Read 2 more answers
(2y^3+5y^2-y+15) ÷ (y-4)
Sveta_85 [38]
ANSWER: 2y^2 + 13y +51 r(219/y-4)

picture explanation too:

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Step-by-step explanation:

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