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Anna007 [38]
3 years ago
14

Explain why the value of 2/5 stays the same

Mathematics
1 answer:
Maslowich3 years ago
8 0
Because the fraction 2/5 can't be simplified
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2x³-8=0<br> How do I solve this problem ?
wlad13 [49]

Answer:

x=2^{\frac{2}{3}}

Step-by-step explanation:

1) Add 8 to both sides.

<em />2x^3=8

2) Divide both sides by 2.

x^3=\frac{8}{2}

3) Simplify \frac{8}{2} to 4.

x^3=4

4) Take the cube root of both sides.

x=\sqrt[3]{4}

5) Rewrite 4 as 2².

x=\sqrt[3]{2^2}

6) Use this rule: {({x}^{a})}^{b}={x}^{ab}.

x=2^{\frac{2}{3}}

Decimal Form: 1.587401

__________________________________________

Check the answer:

2x^3-8=0

1) Let x=2^\frac{2}{3}.

2(2^{\frac{2}{3} })-8=0

2) Use this rule: (x^a)^b=x^{ab}.

2\times2^{\frac{2\times3}{3} } -8=0

3) Simplify 2 * 3 to 6.

2\times2^{\frac{6}{3} } - 8  =0

4) Simplify 6/3 to 2.

2\times2^2-8=0

5) Use Product Rule: x^ax^b=x^{a+b}.

2^3-8=0

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0
2 years ago
EMERGENCY A speeding ticket costs $80 plus $10 for each mile per hour over the speed limit the violator was traveling. How much
Basile [38]

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

                                         = 80 + 120

                                         = $ 200

3 0
3 years ago
The sales tax in Mansfield is 8.25% on anything purchased. What is the percent of the original price you will pay? Write your an
Fynjy0 [20]
If the tax was 10%, then you’d end up paying the original 100% plus the additional 10% tax, so you’d pay 110% of the original price.

In your example, it’s the same, except you have 8.25% tax, so you’d pay 100%+8,25% or 108.25% of the original price.
That’s stated as a percent.

To convert a percent to a decimal, you divide by 100:
108.25 ÷ 100 = 1.0825

To convert a decimal to a fraction, you have to know the place value of the smallest place. In this case, the 5 is in the ten thousandths place.
10825/10000

You can always double check that fraction on a calculator.
7 0
3 years ago
Tony rounded each of the numbers 1183 and 1145 to the nearest hundred. Which choice correctly compares the rounded numbers
Mamont248 [21]
1183 rounded to the nearest hundred = 1200
1145 rounded to the nearest hundred = 1100
4 0
3 years ago
Read 2 more answers
Please write out the problem on paper
skad [1K]
Your answer will be n5
7 0
3 years ago
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