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3 years ago

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A model of a skyscraper uses the scale of 2 inches = 45 feet. If the actual skyscraper is 992 feet tall, how tall is the model?

1 answer:

kvasek [131]3 years ago

8 0

Answer:

44.08 or 44.1

Step-by-step explanation:

OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08

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9x - y = 15 2x + 8y = 28

faust18 [17]

9x - y = 15
2x + 8y = 28

Use the substitution method.
Solve for y in the first equation.

9x - y = 15
-y = 15 - 9x
y = -15 + 9x

Now plug in y into the second equation.
2x + 8(-15 + 9x) = 28
2x - 120 + 72x = 28
74x - 120 = 28
74x = 148
x = 2

Plug x back into the rewritten first equation.
y = -15 + 9(2)
y = -15 + 18
y = 3

x = 2, y = 3

5 0

3 years ago

Distribute the problem <br> 2(3-8y)

77julia77 [94]

Answer:

<h3>6-16y</h3>

Step-by-step explanation:

Hello!

apply distributive law

$a(b - c) = ab - ac$

2(3-8y)=2.3-2.8y

2.3=6
-2.8y= -16y

=6-16y

Hope it helps!

6 0

1 year ago

What is the lowest value in the set of data represented by the following box-and-whisker plot?

Sever21 [200]

D.11.5 because when you bring the line and the dot it is 11.5

8 0

3 years ago

Read 2 more answers

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of

Sloan [31]

9514 1404 393

Answer:

340

Step-by-step explanation:

The ratio of natural to synthetic is give as ...

5 : 8

Then the ratio of natural to total would be ...

5 : (5+8) = 5 : 13

The amount of natural oil in 884 total liters of oil will be ...

(5/13)(884 L) = 340 L

884 liters of Petrolyn oil will contain 340 liters of natural oil.

4 0

3 years ago

Read 2 more answers

The cost of 2 jackets and 3 skirts was sh 1800. After the cost of a jacket and that of a skirt was increased by 20%,the cost of

nadya68 [22]

Answer:

New cost of jacket = $1.2x=1.2\times 600=720\ \text{sh}$

New costs of skirt = $1.2y=1.2\times 200=240\ \text{sh}$

Step-by-step explanation:

Let original cost of jacket = $x$

original cost of skirt = $y$

The equation will be

$2x+3y=1800$

New cost of jacket = $1.2x$

New costs of skirt = $1.2y$

The equation will be

$6(1.2x)+2(1.2y)=4800\\\Rightarrow 7.2x+2.4y=4800$

The equations are

$2x+3y=1800$ $\times 0.8$

$7.2x+2.4y=4800$

$1.6x+2.4y=1440$

$7.2x+2.4y=4800$

Subtracting the above two equations we get

$-5.6x=-3360\\\Rightarrow x=\dfrac{3360}{5.6}\\\Rightarrow x=600$

$7.2\times 600+2.4y=4800\\\Rightarrow y=\dfrac{4800-7.2\times 600}{2.4}\\\Rightarrow y=200$

New cost of jacket = $1.2x=1.2\times 600=720\ \text{sh}$

New costs of skirt = $1.2y=1.2\times 200=240\ \text{sh}$ .

3 0

3 years ago