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3 years ago

9

|9-(-1)|= simplify the expression

1 answer:

Hitman42 [59]3 years ago

7 0

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify 9+1 to 10.

|10|

simplify

10

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3 years ago

50 points decreased by 26%

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A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.

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2 years ago

Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. O

Alenkasestr [34]

Answer:

1. The percentage change is 74% and it is a percentage decrease

2. The percentage change is 15% and it is a percentage decrease

3. The percentage change is 20% and it is a percentage decrease

4. The percentage change is 43% and it is a percentage increase

5. The percentage change is 40% and it is a percentage decrease

6. The percentage change is 39% and it is a percentage decrease

Step-by-step explanation:

Given

$1.\ Original = 5; New = 1.3$

$2.\ Original = 160; New = 136$

$3.\ Original = 15; New = 12$

$4.\ Original = 7; New = 10$

$5.\ Original = $30; New = $18$

$6.\ Original = 9.6; New = 5.9$

Required

Determine the percentage change and state whether it's an increase or decrease

Percentage change is calculated as:

$\%Change = \frac{New - Original}{Original} * 100\%$

$1.\ Original = 5; New = 1.3$

$\%Change = \frac{1.3 - 5}{1.3} * 100\%$

$\%Change = \frac{-3.7}5} * 100\%$

$\%Change = \frac{-3.7 * 100\%}{5}$

$\%Change = \frac{-370\%}{5}$

$\%Change = -74\%$

<em>The percentage change is 74% and it is a percentage decrease</em>

$2.\ Original = 160; New = 136$

$\%Change = \frac{136 - 160}{160} * 100\%$

$\%Change = \frac{-24}{160} * 100\%$

$\%Change = \frac{-24 * 100\%}{160}$

$\%Change = \frac{-2400\%}{160}$

$\%Change = -15\%$

<em>The percentage change is 15% and it is a percentage decrease</em>

$3.\ Original = 15; New = 12$

$\%Change = \frac{12- 15}{15} * 100\%$

$\%Change = \frac{-3}{15} * 100\%$

$\%Change = \frac{-3* 100\%}{15}$

$\%Change = \frac{-300\%}{15}$

$\%Change = -20\%$

<em>The percentage change is 20% and it is a percentage decrease</em>

$4.\ Original = 7; New = 10$

$\%Change = \frac{10- 7}{7} * 100\%$

$\%Change = \frac{3}{7} * 100\%$

$\%Change = \frac{3* 100\%}{7}$

$\%Change = \frac{300\%}{7}$

$\%Change = 43\%$ -- (approximated)

<em>The percentage change is 43% and it is a percentage increase</em>

<em></em>

$5.\ Original = $30; New = $18$

$\%Change = \frac{18- 30}{30} * 100\%$

$\%Change = \frac{-12}{30} * 100\%$

$\%Change = \frac{-12* 100\%}{30}$

$\%Change = \frac{-1200\%}{30}$

$\%Change = -40\%}$

<em>The percentage change is 40% and it is a percentage decrease</em>

$6.\ Original = 9.6; New = 5.9$

$\%Change = \frac{5.9- 9.6}{9.6} * 100\%$

$\%Change = \frac{-3.7}{9.6} * 100\%$

$\%Change = \frac{-3.7* 100\%}{9.6}$

$\%Change = \frac{-370\%}{9.6}$

$\%Change = -39\%$ -- (approximated)

<em>The percentage change is 39% and it is a percentage decrease</em>

5 0

3 years ago