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3 years ago

The fraction 4/5 considered a (n)

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

It’s an Improper Fraction

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<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0

3 years ago

What is the answer in multiple choice? Explain how you got it.

adoni [48]

Cost of the 3 shirts before tax = 2*49.96 + 1/2 * 49.96

= $124.90

After adding 7.1% tax total cost = 124.90 * 1.071 = $133.77

So the cost od each shirt = 133.77 / 3 = $44.59 (answer)

3 0

3 years ago

Read 2 more answers

Solve the logarithmic equation. Round the answers to the nearest hundredth. 6+In x=8

ahrayia [7]

Answer:

7.39 ( nearest hundredth )

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ = n ⇔ x = $b^{n}$

Note that ln x represents $log_{e}$ x

given 6 + ln x = 8 ( subtract 6 from both sides )

ln x = 2 ⇒ x = $e^{2}$ ≈ 7.39

7 0

3 years ago

What is 30% of 20????

Bezzdna [24]

Answer:

Step-by-step explanation:

30% of 20 = 30% * 20

= $\frac{30}{100}$ * 20

= 6

3 0

3 years ago

Factor the expression -24x+32

rewona [7]

The answer to the question is
-8 (3x-4)

6 0

3 years ago