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Shtirlitz [24]
2 years ago
15

If the diameter of a circle is 46 centimeters long, how long is the radius of the circle?

Mathematics
1 answer:
podryga [215]2 years ago
3 0

Answer:

r = 23

Step-by-step explanation:

Using the formula

  • d = 2r

Solving for r

  • r = d / 2 = 46 / 2 = 23
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You have a part-time job. You earn $7.75 per hour. If you work 20 hours
katovenus [111]

Answer:

F. $155

Step-by-step explanation:

For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.

$7.75 * 20 = $155

Thus, your weekly pay will be $155.

Cheers.

4 0
3 years ago
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6 0
3 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
4 years ago
4x - 2 (x-2) = -4 + 5x -13
kolezko [41]

Answer:

x = 7

Step-by-step explanation:

Given

4x - 2(x - 2) = - 4 + 5x - 13 ← distribute left side and simplify

4x - 2x + 4 = 5x - 17

2x + 4 = 5x - 17 ( subtract 5x from both sides )

- 3x + 4 = - 17 ( subtract 4 from both sides )

- 3x = - 21 ( divide both sides by - 3 )

x = 7

8 0
3 years ago
Hannah is a photographer who specializes in portraits. This morning, she spent four hours doing graduation portrait sessions. In
stiv31 [10]

Answer:

graduation

Step-by-step explanation:

6 0
3 years ago
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