The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.

<h3>Find the required number:</h3>

Here in the question it is given that,

-2 is added to a number

The sum is doubled

The result is -15 less than the number

We have to find the required number.

Let the required number be x.

⇒ -2 is added to the number ⇒ -2 + x

⇒ the sum is doubled ⇒ 2(-2 + x)

⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)

2(-2 + x) = x + 15

⇒ - 4 + 2x = x + 15

⇒ x = 19

Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.

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6 0

1 year ago

An FM radio station signal travels in a 40-mile radius. An AM radio station

MrMuchimi

Answer:

4976.28 square miles (nearest hundredth)

Step-by-step explanation:

$\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

<u>FM radio station</u>

Given:

r = 40 miles

$\implies \textsf{Area}=\pi (40)^2=1600 \pi \: \sf miles^2$

<u>AM radio station</u>

Given:

r = 4 miles

$\implies \textsf{Area}=\pi (4)^2=16 \pi \: \sf miles^2$

Difference:

$\begin{aligned}\implies \textsf{FM area - AM area} & =1600 \pi - 16 \pi\\ &= 1584 \pi\\ & =4976.23\:\textsf{square miles (nearest hundredth)}\end{aligned}$

3 0

1 year ago

The compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years​

The compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years