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anyanavicka [17]
3 years ago
7

Hello need help please with Divide rational and simplify

Mathematics
1 answer:
aliina [53]3 years ago
5 0
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
\frac{ - 14 + 7x}{4}  \times  \frac{4}{4 - 2x}
And you can simplify by eliminating the fours and multiplying straight across
\frac{ - 14 + 7x}{4 - 2x}
You can pull out - 7 from the top and 2 from the bottom so you have this
\frac{ - 7(2  -  x)}{2(2 - x)}
And then you can cancel out to (2-x) to get an answer of
\frac{ - 7}{2}
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Jason’s gas tank can hold 12 gallons of gas. His gas tank was empty and he filled it up 2/3 full. He spent $20.16. How much did
natita [175]

Answer:

$2.52 per gallon.

Explanation:

\frac{2}{3}  \times 12 = 8

8c = 20.16

c = 2.52

7 0
2 years ago
Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the
Setler [38]

Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

= 98000 * (1.037)^6  =  98000 * 1.243576 = 121870.505

Rounding off to nearest whole number we get the population = 121871

3 0
3 years ago
How do I do this? please help Im stuck on this and I cant understand the concept.
miskamm [114]

Answer:

take the total number of all x variables

6 0
3 years ago
The selling price of an item is $600. After 6 months of not selling, it is marked down by 30% . After another 6 months of not se
Bingel [31]

The sale price after both markdowns will be $336

<em><u>Explanation</u></em>

The selling price of an item is $600. After 6 months of not selling, it is marked down by 30%

So, the marked down amount after 6 months =\$ 600*0.30= \$180

and the selling price after first 6 months will be: \$600-\$180=\$420

After another 6 months of not selling , it is further marked down by 20%. So, the marked down amount now = \$420*0.20=\$84

Thus, the final selling price after all markdowns =\$420-\$84=\$336

4 0
3 years ago
A cell phone costs $170 and has a tax rate of 7%. Write and Solve a proportion to find how much tax is paid on the cell phone.
Darina [25.2K]

Answer:

The Amount of tax paid on the cell phone is $11.9

Step-by-step explanation:

Given as :

The cost of the cell phone = x = $170

The tax rate of the cell phone = r = 7% of the phone cost

Let The Amount of tax paid on the cell phone = $y

<u>Now, According to question</u>

The Amount of tax paid on the cell phone = 7 % of cost of the cell phone

i.e y = 7% of x

Or, y = \dfrac{7}{100} × x

Or,  y = \dfrac{7}{100} × $170

Or, y = \frac{7\times 170}{100}

∴ y = 7 × 1.7

i.e y = $11.9

So,The Amount of tax paid on the cell phone = y = $11.9

Hence, The Amount of tax paid on the cell phone is $11.9   Answer

4 0
3 years ago
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