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Pavel [41]
3 years ago
10

Washington College has many students enrolled in their engineering program. Engineering students at Washington College last year

received an average of $9,600 in scholarships and grants. This year, the average is $5,184. What is the percent of change in the average amount received? Was this an increase or decrease?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

The percent of change in the average amount received was 46% and this was a decrease.

Step-by-step explanation:

You can use the following formula to calculate the percentage of change:

% of change = ((New number-Original number) / Original Number) x 100

New number= 5,184

Original number= 9,600

Now, you can replace the values in the formula:

% of change = ((5,184-9,600) / 9,600) x 100

% of change = (-4,416 / 9,600) x 100

% of change = (-0.46) x 100

% of change = -46%

According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.

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9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.
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Answer:

LJ = 46

Step-by-step explanation:

Given:

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

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Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

MK + KN = MN (segment addition postulate)

MK = MN - KN (Subtract KN from each side)

MK = (9x - 11) - (x + 3) (subtitution)

MK = 9x - 11 - x - 3

MK = 9x - x - 11 - 3

MK = 8x - 14

LK = MK, therefore,

7x - 10 = 8x - 14

Subtract 8x from each side

7x - 10 - 8x = 8x - 14 - 8x

-x - 10 = -14

Add 10 to both sides of the equation

-x - 10 + 10 = -14 + 10

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Divide both sides by -1

x = 4

Step 2: Find LJ

LJ = LK + KJ (segment addition postulate)

LJ = (7x - 10) + (28)

Plug in the value of x

LJ = 7(4) - 10 + 28

LJ = 28 - 10 + 28

LJ = 46

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