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pychu [463]
2 years ago
7

Dimple volunteered 32 hours last month at a local animal shelter. This is 20% of the total hours that she has volunteered this y

ear. How many hours did she volunteer this year?
Mathematics
1 answer:
vazorg [7]2 years ago
8 0

If she was to volunteer 32 hours and it is worth 20%, then that means 32 hours is 1/5 of her yearly hours. If you were to multiply her volunteer hours by five, then you are getting the year number of hours she has volunteered.

32 x 5 = 160

So, she volunteers 160 hours this year.

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Jaquira wanted to set a ladder against the house to change a light above the garage. The ladder was 19 feet long, and reached th
Firlakuza [10]

Answer: 17.7\ feet

Step-by-step explanation:

Draw a right triangle as the one shown attached.

In order to calculate the distance from the base of the ladder to the house, you can use the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Solving for one of the legs:

b=\sqrt{a^2-c^2}

You can notice that:

a=19\ ft\\c=7\ ft\\b=x

Therefore, substituting values into b=\sqrt{a^2-c^2}, you get that the distance from the base of the ladder to the house, rounded to the nearest tenth, is:

x=\sqrt{(19\ ft)^2-(7\ ft)^2}\\\\x=17.7\ ft

6 0
3 years ago
Factor this expression completely. Write the factored expression in the space provided.
Brilliant_brown [7]

Answer:

(x + 2) (x + 7)

Step-by-step explanation:

x^2 + 9x + 14

x^2 + 7x + 2x + 14

x( x + 7) + 2(x + 7)

(x + 2) (x + 7)

8 0
3 years ago
PLEASE HELP ME!
Ilya [14]

Answer:

(a) 8.3 x 4.9  = 40

(b) 12.1 x 2.95   = 36

(c) 60.94 ÷ 5.7  = 10

(d) 32.79 ÷ 3.1  = 11

Step-by-step explanation:

Here, the given expressions are:

<u>(a) 8.3 x 4.9 </u>

Now, here 8.3 can be  approximated as 8

4.9 can be approximated as  5.0

So,  8.3 x 4.9  ≈ 8 x 5  = 40

Hence, the suitable estimated product for   8.3 x 4.9  = 40

<u>(b) 12.1 x 2.95 </u>

Now, here 12.1 can be  approximated as 12.

2.95 can be approximated as  3.0

So,  12.1 x 2.95   ≈ 12 x 3   = 36

Hence, the suitable estimated product for   12.1 x 2.95   = 36

<u>(c) 60.94 ÷ 5.7  </u>

Now, here 60.94 can be  approximated as 61.

5.7 can be approximated as  6

So, 60.94 ÷ 5.7   ≈ 61  ÷   6   = 10 . 16

Hence, the suitable estimated quotient for  60.94 ÷ 5.7  = 10

<u>(d) 32.79 ÷ 3.1 </u>

Now, here 32.79 can be  approximated as 33.

3.1 can be approximated as 3.

So, 32.79 ÷ 3.1   ≈ 33  ÷ 3   = 11

Hence, the suitable estimated quotient for   32.79 ÷ 3.1  = 11

5 0
3 years ago
Find the slope of the graph <br> EASY 40 POINTS
DochEvi [55]
i think its 1/3 because you solve for y and slope is whatevers in front of x
4 0
3 years ago
6x + 5y = 8 <br> 5x + 5y = 15
Flura [38]

Philiphines

Step-by-step explanation:

lang ang malakas

8 0
3 years ago
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