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SOVA2 [1]
3 years ago
7

Leora wants to paint the nursery in her house. The nursery is an 8–by–10–foot rectangle, and the ceiling is 10 feet tall. There

is a 3–by–6.5–foot door on one wall, a 3–by–6.5–foot closet door on another wall, and one 2–by–3.5–foot window on the third wall. The fourth wall has no doors or windows. If she will only paint the four walls, and not the ceiling or doors, how many square feet will she need to paint?
Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

The correct answer is - 242 ft^2

Step-by-step explanation:

Given:

one door : 3*6.5 => 19.5 ft^2

other door: 3*6.5 => 19.5 ft^2

a window: 2*3.5 => 7 ft^2

total =       46 ft^2

area of all four walls: 2h (l+b)

= 2(8) (10+8)

= 16 (18)

= 288 ft^2

paint required excluding doors and window:

=> area of your wall - (area of doors and window)

=> 288 - 46

= 242 ft^2

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The Great Pyramid has a height (h) of about 480 ft, a slant height (l) of about 560 ft and a square base of 756 ft. What is the
suter [353]

Answer: 91,445,760 ft³

Step-by-step explanation:

You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.

You know that:

h=480ft\\s=756ft

Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:

V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3

5 0
3 years ago
The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0
3 years ago
Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br
Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0
3 years ago
13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?
den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

5.4a+7.1 and -1.2a-6.3

Now, adding both the binomials, we get:

5.4a+7.1+(-1.2a-6.3)

Distributing the positive sign inside the second binomial, we get:

5.4a+7.1-1.2a-6.3

Now, combining like terms using the commutative property of addition, we get:

(5.4a-1.2a)+(7.1-6.3)

Simplifying the above expression, we get:

(5.4-1.2)a+0.8\\4.2a+0.8

Therefore, the resulting addition of the given binomials is 4.2a+0.8

Hence, option C is the correct answer.

8 0
3 years ago
Given the coordinate of one endpoint of an and its midpoint m find the coordinates of the other endpoint A(4,2) M(-2,10)
Leni [432]
The coordinates of the other endpoint are (-8, 18)
7 0
3 years ago
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