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Marianna [84]
2 years ago
12

In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approxima

tely 705 students. Find the percent of change in the enrolled students at Arlington Country Day School from 2000 - 2010 and identify it as an increase or decrease.
Mathematics
2 answers:
vivado [14]2 years ago
5 0
705 - 823 = -118

-118/823 = -0.143 = 14.3% decrease
OverLord2011 [107]2 years ago
5 0

Answer:

14.33%. Decrease.


Step-by-step explanation:

Before, students were 823

After, students were 705

Definitely, there is a decrease. To find percentage decrease, we use the formula:

Percentage change = \frac{After-Before}{Before}

So we have:

\frac{705-823}{823}=-0.1433*100=-14.33


Percentage change in the enrolled students at Arlington Country Day School from 2000 - 2010 is 14.33%. It is a decrease.

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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}

AB = \sqrt{16}

AB = 4 units

✔️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)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
Q: In an examination 14% of the students failed and 559 students passed. Find
topjm [15]
100% - 14% = 86%
86% of what gives you 559
559 * 100 = 55,900/86 = 650
650 students in total
650 - 559 = 91
Solution: 91 students failed
7 0
2 years ago
Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast
cluponka [151]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

4 0
3 years ago
Malik drinks 48 ounces of water each day. How many ounces of water will he drink in 16 days? 64 192 336 768
aleksandrvk [35]

Answer: 768 ounces

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6 0
9 months ago
What is the approximate area of the circle shown below?
crimeas [40]

Answer:

B

Step-by-step explanation:

17*

6 0
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