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LUCKY_DIMON [66]
2 years ago
15

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

Mathematics
1 answer:
telo118 [61]2 years ago
7 0

Answer:

  • C. 4 miles

Step-by-step explanation:

Let the distance between police station and the fire station be x.

According to question we have:

  • the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station,
  • the distance between the library and the police station is 5 miles.

It can be expressed as:

  • 5 = 2x - 3

Solve the equation for x:

  • 2x = 5 + 3
  • 2x = 8
  • x = 4

<u>Correct choice</u> is C

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How do properties of integer exponents help you write equivalent expressions
olga55 [171]

When writing equivalent expressions, there are often several possible orders in which to simplify them. However, they will all take you to the same result as long as you do not make a mistake when using the properties. In this example, you will distribute the outer exponent first using the Power of a Product Property.

7 0
4 years ago
The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fix
nasty-shy [4]

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 =                                   32x =

15(1500) + 25,500                              32(1500) =

22,500 + 25,500                                48,000

48,000

and after selling 1500 benches, they will both equal $48,000

7 0
3 years ago
How many sevenths are there in two wholes?
schepotkina [342]

Answer:

14

Step-by-step explanation:

7 times 2 = 14

7 0
3 years ago
Lou eats 6/8 of pizza. what fraction of the pizza is left over?
AfilCa [17]
So, if the pizza is cut into 8 slices that would mean we just have to subtract 6 - 8 = 2 so your answer is 2/8 of the pizza is left

Hope this helped!
4 0
3 years ago
PLEASE HELP ASAP!!
Fed [463]

Answer: The missing statements are,

In first blank:  ∠2≅∠1

In second blank:  AC≅AC

In third blank:  Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

              Statement                                       Reason

1.∠D and ∠B are right angles       1. Given

2. ∠2 ≅ ∠1                                      2. If lines are parallel then interior angles

                                                        are equal

3. AC≅AC                                      3. Reflexive

4.Δ ADC ≅ Δ CBA                        4. Hypotenuse angle theorem

                                                                     




6 0
3 years ago
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