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3 years ago

Four multiplied by the sum of 8 and a number is the same as 59 more than the number. find the number.

1 answer:

5 0

The sum of 8 and a number is 8 + x. Now multiply that by 4 to get 4(8 + x). The word "is the same as" means "equals" 59 more than the number, which means we add 59 to the unknown we have called x. So our equation now looks something like this (exactly like this, actually): 4(8 + x) = x + 59. Simplifying a bit gives us 32 + 4x = x + 59. 3x = 27 and x = 9. The number is 9!

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Andre45 [30]

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6) ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

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2 years ago

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tamaranim1 [39]

<h2>Solution (1) :</h2>

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<h2>Solution (2) :</h2>

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<h2>Solution (3) :</h2>

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Step-by-step explanation:

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GrogVix [38]

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