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TEA [102]
3 years ago
10

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enl

arged to 63 in., what is the length of the banner?
a.
84 in.
c.
12.5 in.
b.
18 in.
d.
6.5 in.
Mathematics
1 answer:
Vesna [10]3 years ago
8 0
18/24 = 63/x...18 width to 24 length = 63 width to x length
cross multiply
(18)(x) = (24)(63)
18x = 1512
x = 1512/18
x = 84 inches <===
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Can someone please tell me the answer on this.
marishachu [46]

Answer: x = 31

Step-By-Step:

<u>To Find x:</u>

<u />\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180 (Angle Sum Property Of Triangles)

(Remove the brackets)

<u />2x+20+x+10+2x-5=18<u />

(Group Accordingly)

<u />2x+x+2x+20+10-5=180<u />

= 5x+20+10-5=180

= 5x\:+\:25 =180

= 5x= 180 - 25

= 5x = 155

= x=\frac{155}{5}

= 31

<u>Therefore</u> x = 31

So,

Angle A = x + 10 = 31 + 10 = 41

Angle B = 2*x + 20 = 2*31 + 20 = 82

Angle C = 2*x - 5 = 62 - 5 = 57

5 0
2 years ago
Please help domain and range
Naddik [55]

Answer: #13: Domain = (-∞,∞) Range = (-∞,0]

#14: Domain = (-∞,∞), Range = (-∞,∞)

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7 0
3 years ago
Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th
gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in  6  hours. If it takes the older pump  14  hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be \frac{1}{t}.

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be \frac{1}{14}.

Part of pool drained by both pumps working together in one hour would be \frac{1}{6}.

Now, we will equate the sum of part of pool emptied by both pumps with  \frac{1}{6} and solve for t as:

\frac{1}{14}+\frac{1}{t}=\frac{1}{6}

\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t

3t+42=7t

7t=3t+42

7t-3t=3t-3t+42

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\frac{4t}{4}=\frac{42}{4}

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Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0
3 years ago
Suppose a lake has a surface area of about 748 acres and an average depth of about 18 feet. About how many cubic feet are in the
zloy xaker [14]

Answer: There are 13464 cubic feet in the lake.

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lesya692 [45]

Answer:

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since the 48 is a negative we would just put a minus sign instead a plus. If it was a positive 48 we would put a plus sign buts its not so we put a negative.

7 0
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