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3 years ago

Given that

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

Answer:

Given that,

R = 3x + 9y

Also, given that,

y = 6

R = 7

We have to find the value of x

For that, you can to put 6 and 7 to the equation instead of y and R respectively.

R = 3x + 9y

7 = 3x + 9 × 6

7 = 3x + 54

7 - 54 = 3x

- 47 = 3x

$\frac{-47}{3} = \frac{3x}{3}$

$\frac{-47}{3}=x$

Hope this helps you :-)

Let me know if you have any other questions :-)

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A train leaves little rock Arkansas, travels north at 85 kilometers per hour. another train leaves same time and travels south a

iragen [17]

Hi,

Let us denote first train with T₁, its distance d₁, its speed v₁ = 85 km/h.

Similarly, second train would be with T₂, its distance d₂, its speed v₂ = 80 km/h. Also, let d be total distance, d = 495 km.

Given being the fact that train T₁ travels north, and train T₂ travels south, their path is on a straight vertical line. Please create a simple drawing, you will see the vertical line immediately.

Then, we need to find the time t, when d₁ + d₂ = d = 495 km (1)

Each speed v₁, and v₂ is constant, therefore we apply very well known formula:

d₁ = v₁·t, and d₂ = v₂·t (2).

From (1) and (2) we have:

v₁·t + v₂·t = d, or (v₁ + v₂)t = d ⇒ t = d/(v₁ + v₂) = 495/(80 + 85) = 495/165 = 3 hours.

So, it takes 3 hours to have those 2 trains 495 km apart.

Green eyes.

6 0

3 years ago

Three less than the quotient of ten and a number, increased by six” when n = 2?

Musya8 [376]

(10/n +6) -3
10/2+6-3
5+6-3
11-3
8
Hope this helped!

3 0

3 years ago

Read 2 more answers

What is two consecutive integers 181

exis [7]

So our integer and the consecutive integer . The smaller integer is 90.

8 0

3 years ago

Read 2 more answers

Ten subtracted from the quotient if a number and 7 is less than -6

e-lub [12.9K]

Answer:

10-(x/7)<-6

Step-by-step explanation:

3 0

3 years ago

Consider two circular swimming pools. Pool A has a radius of 18 feet, and Pool B has a diameter of 11.16 meters. Complete the de

Alexus [3.1K]

Answer:

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters

Step-by-step explanation:

Identify the diameter of Pool A.

d = 2r

d = 2(18) Substitute 18 for r.

d = 36 ft

Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.

36 × 0.305 = 10.98

The diameter of Pool A is about 10.98 meters.

Use the formula to find the circumference of Pool A.

C = πd

C = π(10.98) Substitute 10.98 for d.

C ≈ 3.14(10.98) Substitute 3.14 for π.

C ≈ 34.48 Multiply. Round to the nearest hundredth.

The circumference of Pool A is about 34.48 meters.

Identify the diameter of Pool B.

d = 11.16 m

The diameter of Pool B is 11.16 meters.

Use the formula to find the circumference of Pool B.

C = πd

C = π(11.16) Substitute 11.16 for d.

C ≈ 3.14(11.16) Substitute 3.14 for π.

C ≈ 35.04 Multiply. Round to the nearest hundredth.

The circumference of Pool B is about 35.04 meters.

The circumference of Pool B is greater than the circumference of Pool A.

Find how much greater the circumference of Pool B is compared to the circumference of Pool A.

35.04 − 34.48 = 0.56

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.

7 0

2 years ago