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eduard
3 years ago
9

Simplify and state restrictions.

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

We have the equation

\frac{4*a^2*b^2*c}{-3*a*b} + \frac{8c^2}{15}

First, we want the same denominator in both equations, so we can multiply in the left by 5, and in the right bt -ab, and now we have:

\frac{20*a^2*b^2*c}{-15*a*b} + \frac{-ab8c^2}{-15ab} = \frac{-20*a^2*b^2*c +8*a*b*c^2}{15*a*b}

Now we have all in the same rational.

The only restriction in this type of equation is that the denominator never can be zero.

so 15*a*b = 0 is a restriction:

This means that a can not be zero, and b can not be zero.

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A lunch bill $12 before tax. If tax on the bill is 7.5%, what is the total cost of the lunch including tax?
Paladinen [302]

Answer:

$12.90

Step-by-step explanation:

To solve, multiply the cost before tax with tax, and then add the number gotten to the original amount.

12 x 7.5% = 12 x 0.075 = 0.9

12 + 0.9 = 12.9

$12.90 is your answer.

~

7 0
4 years ago
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Convert the decimal below into a rational number.
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3 years ago
PLEASE HELP!! Question with picture is below
Alenkinab [10]

Answer:

It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.  

Step-by-step explanation:

We need to find the area of both shapes to compare:

3/4 of a circle:

A = 6^2pi

= 36pi

36pi(0.75) = 27pi

Ring:

A = 36pi

A2 = 3^2pi = 9pi

36pi-9pi = 27pi

As you can see, the two areas are the same.

Hope this helped! :)

8 0
3 years ago
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A health study tracked a group of person for five years. At the beginning of the study, 20% were classified as heavy smokers, 30
Aleks04 [339]

Answer: 0.421

Step-by-step explanation:

Heavy smoker = 20%

Light smoker = 30%

Non smokers = 50%

We can assume that the probability that a non-smoker is going to die in the next 5 years be y.

Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:

= 2 × y = 2y

Probability for the Heavy smokers will be:= 2 × 2y = 4y

The expected number of people that will die for each in the next 5 years will be:

Non smoker:

= 50% × y

= 0.5 × y

= 0.5y

Light smoker:

= 30% × 2y

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= 20% × 4y.

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Total = 0.5y + 0.6y + 0.8y = 1.9y

The probability that the participant was a heavy smoker will be:

= 0.8y/1.9y

= 0.421

3 0
3 years ago
There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each
Sunny_sXe [5.5K]

Step-by-step explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

17 b^3/8 = 118.125

b^3 = 55.58

b = 3.816in

s = 2.544in

6 0
2 years ago
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