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aleksklad [387]
3 years ago
7

The scale drawing represents Kim’s living room. She wants to put new baseboards on the walls of the room. If the scale is 2 cm:1

m and the baseboard costs $4.19 per meter, how much would it cost to put baseboards in Kim’s living room?
A. $4.53

B. $79.61

C.$159.22

D. $318.44


THE SCALE DRAWING IS AT THE BOTTOM:

Mathematics
1 answer:
Serga [27]3 years ago
5 0
The answer is B, because if you draw the baseboards on the scale drawing, you'll get nineteen baseboards. 19 x 4,19 = 79,61

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How to find the GCF of 5 and 20
solong [7]
See what number goes in to 5 and 20 and then dive
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3 years ago
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ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm
horsena [70]

We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.

Since the area of a trapezium is given by

A=\dfrac{(b+B)h}{2}

If we plug the expressions we have

A=\dfrac{(x+(x+4))\frac{x}{2}}{2}=\dfrac{(2x+4)x}{4}=\dfrac{2x^2+4x}{4}

If this must equal 84, we can solve for x as follows: start with

\dfrac{2x^2+4x}{4}=84

Multiply both sides by 4:

2x^2+4x=336

Subtract 336 from both sides:

2x^2+4x-336=0

We can divide both sides by 2 to make computation simpler:

x^2+2x-168=0

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

x_1=-14,\quad x_2=12

We can't accept the negative solution, because it would imply

AB=-14,\quad CD=-10

and we can't have negative side lengths. So, the answer is 12.

4 0
3 years ago
Jean's bedroom is 11 feet by 14 feet. She has chosen a carpet which costs $33.30 per square yard. This includes installation.
Allisa [31]

Answer:

The room will cost $569.80 to carpet.

Step-by-step explanation:

Recall that 1 square yard = 9 square feet.

The area of the bedroom, in square feet, is (11 ft)(14 ft) = 154 ft^2.

Converting this to square yards:

154 ft^2      1 yd^2

------------ * ------------ = 17.1 yd^2

       1          9 ft^2

17.1 yd^2     $33.30

------------- * ------------- = $569.80

       1            1 yd^2

The room will cost $569.80 to carpet.

5 0
3 years ago
Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the
GREYUIT [131]

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

V=whl

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}

So, the width of the box is 9 inches.

5 0
3 years ago
Jacob distributed a survey to his fellow students asking them how many hours they spent on the Internet in the past day. He also
Anna35 [415]

The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.

Step-by-step explanation:

Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.

Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).

When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).

When y = \frac{-1x}{2} + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and        (3.5, 5.75).

So equation 2 has the closest values to the actaul graph.

Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.

8 0
4 years ago
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