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3 years ago

9

The area of an 20-cm-wide rectangle is 460 cm². What is its length? The length is cm.

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

460 divided by 20
= 23 cm

The length is 23cm

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Choice D, d+5

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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

The value of a house has increased by $4,200 in the past year. By what percent has the value increased if the value last year wa

IgorC [24]

Answer:

The value has increased by <u>8 percent</u>.

Step-by-step explanation:

Given:

The value of a house has increased by $4,200 in the past year.

The value last year was $52,500.

Now, to find the percent increased.

<em>Value of house = $52,500.</em>

<em>Value of house last year increased by = $4200.</em>

So, to get the percent increased:

$\frac{Value\ of\ house\ last\ year\ increased\ by} {Value\ of\ house}\times 100.$

$=\frac{4200}{52500} \times 100$

$=0.08\times 100$

$=8\ percent.$

Therefore, the value has increased by 8 percent.

6 0

3 years ago