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4 years ago

How to multiply fractions by a number with an exponent?

1 answer:

4 0

Multiplying exponents with different or same bases
Multiplying negative exponents
Multiplying variables with exponents
Multiplying square roots with exponents

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NEED HELP FAST

juin [17]

Answer:

-24 2/7

Step-by-step explanation:

-180 4/7 -166 2/7

-180 -166 = -24

4/7-2/7 = 2/7

-24 2/7

3 0

3 years ago

(a) Increase the selling price of $42 by 10%

damaskus [11]

Answer:

Step-by-step explanation:

$p\%=\dfrac{p}{100}\\\\10\%=\dfrac{10}{100}=\dfrac{1}{10}=0.1\\\\10\%\ of\ \$42\to0.1\cdot\$42=\$4.2\\\\\$42+\$4.2=\$46.20$

Other method:

$\text{Increase bo}\ 10\%\to100\%+10\%=110\%\\\\110\%=\dfrac{110}{100}=\dfrac{11}{10}=1\dfrac{1}{10}=1.1\\\\110\%\ of\ \$42\to1.1\cdot\$42=\$46.2$

6 0

4 years ago

Larry rides his bike at a rate of 8.8 inches per second. About how m any miles per hour can Larry ride his bike?

sveta [45]

Larry rides his bike 0.5 miles per hour

Solution:

Given that Larry rides his bike at a rate of 8.8 inches per second

To find: Speed in miles per hour

So we have to convert 8.8 inches per second to miles per hour

Use the conversion factor

$1 \text{ inch } = \frac{1}{63360} \text{ mile }$

$1 \text{ second } = \frac{1}{3600} \text{ hours }$

Convert 8.8 inches per second to miles per hour

$8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times \frac{1}{63360} \times 3600 \times \frac{\text{miles}}{\text{hour}}$

$8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times 0.00001578282 \times 3600 \times \frac{\text{miles}}{\text{hour}}\\\\8.8 \frac{\text{inches}}{\text{second}} = 0.5 \frac{miles}{hour}$

Thus Larry rides his bike 0.5 miles per hour

5 0

3 years ago

For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total numbe

Tatiana [17]

Answer:

1/3

Step-by-step explanation:

The total number of sodas sold is 6, which means the amount of diet soda compared to that is 2/6. This can be further simplified to 1/3.

5 0

3 years ago

Reduce the fraction 36/48 to its lowest term

QveST [7]

Answer:

3/4

Step-by-step explanation:

$\dfrac{36}{48}=\dfrac{3\cdot 12}{4\cdot 12}=\dfrac{3}{4}\cdot\dfrac{12}{12}\\\\=\dfrac{3}{4}\cdot 1=\dfrac{3}{4}$

Effectively, divide both numerator and denominator by their greatest common factor, 12.

7 0

3 years ago