Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet?

Directions:Simplify the following monomials.SHOW ALL STEPS!

Mandarinka [93]

Answer:

7. Ans;

$\frac{6 {a}^{5} {b}^{7} }{ - 2 {a}^{3} {b}^{7} } = \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} ) }{ - 2 {a}^{3} {b}^{7} } = - 3 {a}^{2}$

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8. Ans;

$\frac{ - 20 {x}^{3} {y}^{2} }{ - 5 {x}^{3}y } = \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y } = 4y$

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9. Ans;

$\frac{ - 16 a {b}^{4} }{4 {b}^{3} } = \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} } = - 4ab$

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10. Ans;

$\frac{21 {m}^{8} {n}^{5} }{27 {m}^{5} {n}^{4} } = \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n) }{3 {m}^{5} {n}^{4}(9) } = \frac{7 {m}^{3}n }{9}$

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11. Ans;

$\frac{ - 15 {x}^{5} {y}^{4} }{45x {y}^{3} } = \frac{ 15x {y}^{3} ( - {x}^{4} y)}{15x {y}^{3}(3) } = - \frac{ {x}^{4}y }{3}$

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12.Ans;

$\frac{7 {p}^{2} {q}^{2} }{14 {p}^{2} {q}^{2} } = \frac{7 {p}^{2} {q}^{2} }{7 {p}^{2} {q}^{2} (2) } = \frac{1}{2} = 0.5$

I hope I helped you^_^

7 0

3 years ago

Read 2 more answers

If f(x) = 2x2 + 1, what is f(x) when x = 3? a.1 b.7 c.13 d.19

prohojiy [21]

Answer:

The value of f(x) = $2x^2 + 1$ when x=3 is 19, hence the correct option is ‘d’.

Solution:

A two degree polynomial equation is given in the question.

The equation is:

$F(x)=2 x^{2}+1$

We need to find the value of f(x) when the value of x is 3.

To solve a question like this we have to substitute the given value of x in the given equation and then simplify it.

Now let's substitute the value of x in the given equation.

$F(x)=2(3)^{2}+1$

First we square the number 3 and then multiply it with 2 and then add 1.

This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition.

On solving the equation we get,

F(x)=2×9+1

F(x)=18+1

F(x)=19.

Therefore the value of f(x) when x=3 is 19.

Hence the correct option is ‘d’.

4 0

3 years ago

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53 x + 4 < 7 how is this graphed on a number line ?

ValentinkaMS [17]

Answer:

Solve for x first.

54x + 4 < 7

54x < 7 - 4

54x < 3

x < 3 / 54

x < 1/18

So the value is less than 1/18.

To draw on the number line, draw from point 1/18 to the back with an arrow to represent that x is any number less than 1/18.

4 0

3 years ago

1d Round 103.459 to the nearest whole number.

d1i1m1o1n [39]

Since your trying to round 103.459 to the nearest whole number, you have to find if the tens place is a 5 or greater. If not, the whole number stays the same. In the instance, 103.459 can't be rounded up more, because 4 is not able to round it to 104. So your answer would be 103.

3 0

3 years ago

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Can the three angles 25 65 and 90 create one unique triangle

Serhud [2]

Answer:

Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.

If this was confusing, I am happy to help further!

7 0

3 years ago