8. Paula needs to replace the floor in her family room since her cat peed in several
places. She wants to put down both vinyl flooring and carpet in the room. The
carpet she selected costs $2 per square foot. The vinyl floor covering costs $1
per square foot. She has $500 to spend on materials and must cover an area of
300 square feet. How much carpet and vinyl flooring will she buy to meet her
requirements?

[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]

Answer:

[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

3x + 2x - 10 = 25

5x = 35

x = 7 is your answer

Step-by-step explanation:

brainliSt plz

Answer:

H = 2S+4

H = M-2

M-2 = 2S+4

M-6 = 2S

M-6/2 = S

The equation that shows Silas's age, S, in terms of Mark's age is

S = (M - 6)/2.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Silas's age = S

Mark's age = M

Hailey's age = H

Now,

H = 2S + 4

H = M - 2

This means,

2S + 4 = M - 2

2S = M - 2 - 4

2S = M - 6

S = (M - 6)/2

Thus,

Silas's age is (M - 6)/2.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

Step-by-step explanation:

Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.

Answer:

There is no solution to this equation.

Hope this helps :)

Answer:

no solution.

Step-by-step explanation:

carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.

Answer:

452.16 cm

28.26 m

113.04 km

Step-by-step explanation:

The equation for area is r^2 π

where you square the radius and multiply by 3.14 or pi or how many digits you need to use.

For example, on the first question, you multiply the radius (12) by itself or square it to get 144.

Then you multiply 144 by 3.14 to get your first answer.

Answer:

7 and 4

Step-by-step explanation:

If you set up a rectangle you get an area of 28 cm^2

4x7=28

the base is 7 cm

the height is 4 cm

Answer:

Step-by-step explanation:

You can make it by using division +/-. The keystrokes are

+

/

-

a = 13

b = -5

c = 1

x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2

x = [ 5 +/- sqrt( 25 - 52) ] / 2

x = [ 5 +/- sqrt(-27)]/2

x = [5 +/- 3 sqrt(3)i ] / 2

x = 5/2 +/- 3/2 * sqrt(3) i

So x1 = 2.5 + 1.5 sqrt(3)i    or

x2 = 2.5 - 1.5 sqrt(3)i

Answer:

no it is really easy question to answered so do it your self

Answer:

4060

Step-by-step explanation:

Answer:4060

Step-by-step explanation:

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/24810873

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591

Answer:

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Answer:

x <= 4

Step-by-step explanation:

29+9x<65

-29.      -29

9x<36

divide both sides by 9

x less than or equal to 4

Answer:

x ≤ 4

Step-by-step explanation:

29 + 9x ≤ 65

subtract 29 from both sides

29 - 29 + 9x ≤ 65 - 29

9x ≤ 36

divide both sides by 9

9x / 9 = x and 36 / 9 = 4

we're left with x ≤ 4

0.25 but half but 26:26 Its same but half of half ....

Answer:

135 tiles

Step-by-step explanation:

3 x 1.8 = 5.4 (m2)

20 cm = 0.2 m

0.2 x 0.2 = 0.04 (m2)

5.4 / 0.04 = 135 (tiles)

Answer:

  80a²b³c

Step-by-step explanation:

As with numbers, the LCM is the product of the highest-powered factors.

  16ab³ = 2⁴×a×b³

  5a²b² = 5×a²×b²

  20ac = 2²×5×a×c

The highest power of the factor 2 is 2⁴.

The highest power of the factor 5 is 5.

The highest power of the factor a is a².

The highest power of the factor b is b³.

The highest power of the factor c is c.

The LCM is 2⁴×5×a²×b³×c = 80a²b³c

Answer:

-8b-24

Step-by-step explanation:

Just ask.

Hope this helps! :)

Answer:

-8b-24

Step-by-step explanation:

you would just distribute that -8 to what's inside the ( ).

Answer:14

Step-by-step explanation:

Answer:

  $0.25 per ream

Step-by-step explanation:

The costs per ream are ...

  X: $40/(8 reams) = $5/ream

  Y: $19/(4 reams) = $4.75/ream

The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.

Answer:

8.4

Step-by-step explanation:

edge

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.