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bearhunter [10]
3 years ago
15

Bella made a drawing of her rectangular bedroom with the scale of 1 inch = 3 feet. The drawing was 5 inches long by 4 inches wid

e. What are the dimensions of Bella's room? What is the actual area? Show your work.
Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

1 inch = 3 ft

1*5 inches = 3*5 = 15 ft

1*4 inches = 3*4 = 12 ft

Area = 12*15 = 180 ft^2


crimeas [40]3 years ago
6 0

Step-by-step explanation:

First, change each side from inches to feet.

Note that 1 inch = 3 feet. Multiply the number of inches with 3 feet

5 x 3 = 15

4 x 3 = 12

15 feet long by 12 feet wide.

To find the area, multiply the two numbers together

15 x 12  = 180

180 inch²

~

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SURDS
aev [14]
1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180
4 0
3 years ago
4. A shipping company is considering which of these two boxes to use for shipping. Each box costs the same amount of money to sh
Delicious77 [7]
For a box shown in the images, to see the more cost-effective option, one has to simply compare which of the two boxes has the large volume. This can be done by multiplying the length, width, and the height to find the volume. This is shown below:

Box A:

Volume = 2 * 3 * 4 = 24 ft^3

Box B:

Volume = 2 * 5 * 2.5 = 25 ft^3

Therefore, the second box is the more cost-effective of the two.
6 0
3 years ago
What is the inverse of the function g(x)=x^3/8+16
shtirl [24]

Answer:

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

Step-by-step explanation:

Inverse of a function:

Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.

In this question:

y = \frac{x^3}{8} + 16

Exchanging x and y:

x = \frac{y^3}{8} + 16

\frac{y^3}{8} = x - 16

y^3 = \frac{x-16}{8}

y = \sqrt[3]{\frac{x-16}{8}}

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

7 0
3 years ago
A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interview
lara [203]
36 all together.
22 first
14 second
8 random chosen

A) all first shift:
One is pulled 22/36
Second is pulled 21/35
Third is pulled 20/34
Fourth 19/33
Fifth 18/32
Sixth 17/31
Seventh 16/30
Eighth 15/29

Multiply all those together
Probability of all first shift is 0.010567296996663
(That means it's not happening anytime soon lol)

B) one worker 14/36
Second 13/35
Third 12/34
Fourth 11/33
Fifth 10/32
Sixth 9/31
Seventh 8/30
Eighth 7/29

Multiply all those together
Probability of all second shift is 0.000099238805645
(That means it's likely to see 100x more picks of all first shift workers before you see this once.. lol)

C) 22/36
21/35
20/34
19/33
18/32
17/31

Multiply..
Probability.. 0.038306451612903


D) 14/36
13/35
12/34
11/33

X... p=0.016993464052288


Probably not correct, haven't done probability in years.
8 0
3 years ago
Find the area of a rectangle that has the length of 2x-3 and the width of x .Someone painted an interior area of the rectangle a
Svet_ta [14]

Answer:

The area that was not painted is (2x^{2}-6x+6)\ units^{2}

Step-by-step explanation:

step 1

Find the area of the rectangle

we know that

The area of a rectangle is equal to

A=LW

In this problem we have

L=2x-3

W=x

substitute

A=(2x-3)x\\A=(2x^{2}-3x)\ units^{2}

step 2

Find the area that was painted

A=(3)(x-2)\\A=(3x-6)\ units^{2}

step 3

Find the area that was not painted

Subtract the area that was painted from the total area of rectangle

so

A=(2x^{2}-3x)-(3x-6)=(2x^{2}-6x+6)\ units^{2}

8 0
3 years ago
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