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ahrayia [7]
2 years ago
15

Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )

Mathematics
1 answer:
s2008m [1.1K]2 years ago
7 0
Here’s the completed graph from desmos

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Find the value of each variable. Write an<br> equation then solve showing ALL the work<br> A2x+10°
AveGali [126]

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25

The value of x is 25

4 0
3 years ago
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

#SPJ1

6 0
2 years ago
Mrs. thomas has 18 cups of popcorn. she wanted to divide the popcorn into 2/3 cup bags.how many bags can she make ?
Usimov [2.4K]
18 ÷ (2/3) = 18 × (3/2) = 18×3/2 = 9×3 = 27
The answer is 27
3 0
3 years ago
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes d
Pachacha [2.7K]

Answer:

Step-by-step explanation:

The volume of a cube is

V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so

n(1/2)^3=10, where n will be the number of these small cubes

n(1/8)=10 upon multiplying each side by 8

n=80

So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3

6 0
3 years ago
What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest fo
Reptile [31]

Complete question :

What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest form.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

Answer:

1/2c

Step-by-step explanation:

Taking the sum :

1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c = 6/2c + 2/4c + 6/4c

6/2c + 2/4c + 6/4c

3/1 + 1/2 + 3/2 = (6 + 1 + 3) / 2 = 10 /2

= 5

Total number of orders = 10

Average = 5 / 10 = 1 /2 c

5 0
3 years ago
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