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2 years ago

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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Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it ta

coldgirl [10]

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

$\frac{20 mi}{150min} = \frac{x}{15 min}$

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

$\frac{20 mi}{150min} = \frac{6mi}{x min}$

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

$\frac{20 mi}{150 min}* \frac{60 min}{1 hr} = \frac{1200mi}{150hr} = 8 mi/h$

Therefore, her speed is 8 mph.

5 0

2 years ago

What is the area of the polygon shown

kvv77 [185]

Answer:

16 square units

Step-by-step explanation:

(bxh)÷2

4×8=32

32÷2=16

5 0

2 years ago

Find the point below that lies on the line y-5=7(x-6).

MrMuchimi

Answer:

(6,5)

Step-by-step explanation:

The equation is in point slope form: $y-y_1=m(x-x_1)$

'm' is the slope.

(x1, y1) is the point used to create the equation.

The number 6 replaces the x1 spot.

The number 5 replaces the y1 spot.

So a point that lies on the line should be (6,5).

5 0

2 years ago

What is 3/4 + 2/8 = ???

ziro4ka [17]

Answer: 1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

At a campground, a rectangular fire pit is 7 feet by 6 feet. What is the area of the largest circular fire that can be made in t

Fittoniya [83]

The area of the circular fire pit is 4096 square inches.

Explanation:

Given that the rectangular fire pit is 7 feet by 6 feet.

We need to determine the area of the largest circular fire that can be made in this fire pit.

The diameter of the circular fire is 6 feet

The radius is given by

$r=\frac{6}{2} =3$

Radius is 3 feet.

The area of the largest circular fire pit can be determined using the formula,

$Area=\pi r^2$

Substituting the values in the formula, we have,

$Area = (3.14)(3)^2$

$=(3.14)(9)$

$Area= 28.26 \ ft^2$

We need to convert feet to inches by multiplying by 12, we get,

$Area = 28.26\times (12)^2$

$Area = 4096.44 \ in^2$

Rounding off to the nearest square inch, we get,

$Area= 4096 \ in^2$

Thus, the area of the circular fire pit is 4096 square inches.

7 0

3 years ago