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3 years ago

What is the value of x?

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Answer:

Step-by-step explanation:

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In Exercise, evaluate each expression. 643/4

Goshia [24]

Answer:

$\\ 64^{\frac{3}{4}} = 16\sqrt{2}$

Step-by-step explanation:

We need here to remember that:

$\\{(x^{a})}^{b} = x^{a * b}$

$\\{x^{a} * x^{b} = x^{a + b}$

Then,

$\\ 64^{\frac{3}{4}} = {(8^{2})}^{(\frac{3}{4})} = {{(2^{3})}^{2}}^\frac{3}{4}$

$\\ 64^{\frac{3}{4}} = {{2^{3}}^2}^\frac{3}{4} = 2^\frac{3*2*3}{4}$

$\\ 64^{\frac{3}{4}} = 2^\frac{2*3*3}{4} = 2^\frac{3*3}{2} = 2^\frac{9}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}}$

Since $\\ \frac{9}{2} = \frac{4}{2} + \frac{4}{2} + \frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}} = {2^{(\frac{4}{2} + \frac{4}{2} + \frac{1}{2})}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{4}{2}} * 2^{\frac{4}{2}} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{2} * 2^{2} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 4 * 4 * \sqrt{2} = 16 \sqrt{2}$

5 0

3 years ago

2x + 11 + 6x Combing like terms

Nataly [62]

Answer:8x+11

Step-by-step explanation:2 x+ 6x=8x +11

add 2x to 6x and add 11 to it .

8 0

3 years ago

Read 2 more answers

Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.

SSSSS [86.1K]

Answer:

180

Step-by-step explanation:

Nightly cost = x

x × 5% = Sales Tax

Total Cost : Percentage

189 : 105%

x : 100%

Cross multiply:

189 × 100% = 105% × x

189 = 1.05x

189 ÷ 1.05 = x

x = 180

8 0

2 years ago

Samantha and Matt are each saving for new bikes. So far, Samantha has saved $15 and can earn $2 per hour for babysitting. Matt h

Sophie [7]

Answer:

6 hours

Step-by-step explanation:

We know that:

Samantha = 15 + 2x
Matt = 3 + 4x
Samantha = Matt
[x = Number of hours]

Solution:

15 + 2x = 3 + 4x
=> 15 - 3 = -2x + 4x
=> 12 = 2x
=> x = 6

Hence, after 6 hours of work, Samantha and Matt will have the same amount.

7 0

2 years ago

Machine A produces 132 parts in 3 hours. Machine B produces 80 parts in 2 hours. At these rates, how many more parts will Machin

Shkiper50 [21]

Answer:

Machine A will have produced 20 more parts than machine B would in 5 hours

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers