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elena-s [515]
2 years ago
12

Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of t

ime. What is the speed of the boat in still water if the speed of the current is 1.5 mph
Mathematics
1 answer:
slega [8]2 years ago
3 0
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
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Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

<h3></h3><h3>How much will it cost?</h3>

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

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6 0
2 years ago
Write an equation to match the fraction model shown in the reference image and solve the problem.
Pani-rosa [81]

Answer:

8/100 + 8/100 + 32/100 = 48/100

48/100 / 4/4 = 12/25

Step-by-step explanation:

6 0
2 years ago
When you find the volume of a sphere, what are you finding out? explain
Aloiza [94]

Volume of a sphere is all of the volume enclosed within the sphere.

4/3(pi)r^3

3 0
3 years ago
Multiply and show all steps please!!
Mazyrski [523]

the answer is 80 take the positive and negative and use the sign change rule

5 0
3 years ago
Read 2 more answers
What are the y-intercept of the function f(x)=-2x^2-3x+20?
Serhud [2]

Answer:

\sf A) \ (-4, \ 0) \ and \ \  [\dfrac{5}{2} , \ 0]

Explanation:

Given function: f(x) = -2x² - 3x + 20

To find the x-intercepts of a function, f(x) = 0

=================

-2x² - 3x + 20 = f(x)

-2x² - 3x + 20 = 0

-2x² - 8x + 5x + 20 = 0

-2x(x + 4) + 5(x + 4) = 0

(-2x + 5) (x + 4) = 0

-2x + 5 = 0, x + 4 = 0

-2x = -5, x = -4

x = -5/-2,x = -4

x = 5/2, x= -4

Coordinates: (-4, 0), (5/2, 0)

4 0
2 years ago
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