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Sergeu [11.5K]
2 years ago
8

HELP PLS I NEED HELP When solving the equation such as 3/5x = 1/9, why would you multiply both sides of the equation by the reci

procal of 3/5?
Mathematics
1 answer:
True [87]2 years ago
8 0
Because 3/5 and 5/3 make a product of 1, so you have one x on the right side. 
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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
When multiplying fractions do you multiple it like this: 5/6 × 7/8 35/48 and if you are multiplying fractions with the same deno
Mnenie [13.5K]

Step-by-step explanation:

5/8 × 6/8= 30/8 => this is the wrong one

it should be 5/8 × 6/8= 30/64.

9/10×3/10= 27/100 => this is the true one

6 0
2 years ago
Please, can you do this step-by-step.... 2 1/3 + 6 3/5
lina2011 [118]

Answer:

8 14/15

Step-by-step explanation:

Step 1:

2 1/3 + 6 3/5

Step 2:

2 5/15 + 6 9/15

Answer:

8 14/15

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
Calculate the perimeter of a rectangle with height 10cm and length 9cm
katovenus [111]

Answer:

38

Step-by-step explanation:

10+10=20

9+9=18

20+18=38

3 0
3 years ago
Which points are solutions to the linear inequality y &lt; 0.5x + 2? Check all that apply. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1,
Sauron [17]
1/2 is linear inequality
6 0
3 years ago
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