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IrinaVladis [17]
3 years ago
6

Simplify the following expression: 35 + (–13) + (+8) – (–6).

Mathematics
2 answers:
Bess [88]3 years ago
8 0
35 + (-13) + 8 - (-6)

35 - 13 + 8 + 6

22 + 8 + 6

30 + 6

36

Sauron [17]3 years ago
6 0
35 + (-13) + 8 - (-6) \\ \\ 35 - 13 + 8 + 6 \\ \\ 36 \\ \\ Answer: \fbox {36}
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An animal shelter houses ferrets, cats, and dogs. There are 108 animals at the shelter. Of the
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Number of dogs in the shelter are 12

<u>Step-by-step explanation:</u>

Step 1:

Given that total animals = 108 and number of ferrets = 1/3 of 108. Find number of ferrets in the shelter.

Number of ferrets = 1/3 of 108 = 1/3 × 108 = 36

Step 2:

Given that of the remaining animals, number of cats = 5/6. Find the remaining animals and the number of cats.

Remaining number of animals = 108 - 36 = 72

Number of cats = 5/6 of 72 = 5/6 × 72 = 60

Step 3:

Find number of dogs in the shelter.

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8 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

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✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

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8 0
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Citrus2011 [14]

Answer:

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