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Lynna [10]
4 years ago
9

108 is 144% of what number?

Mathematics
1 answer:
kondor19780726 [428]4 years ago
7 0
Translate the question into an equation and solve the equation.

<span>108 is 144% of what number?

108 = 144% of x

108 = 144% * x

108 = 1.44x

1.44x = 108

x = 108/1.44

x = 75

Answer: 108 is 144% of 75.</span>
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The radius of a circle is 3 miles. What is the circle's area?​
BARSIC [14]

Answer:

9π miles²

Step-by-step explanation:

The area of a circle is πr²

Now we plug in 3 miles for the radius

A=πr²

A=π3²

A=9π miles²

3 0
3 years ago
What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses
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No, the total cost will be less than $1000.

There will be 7 buses with 44 students each and one bus with 39 students. So in there will be 8 buses in all.

8*$95=$760


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