Ms. Johnson bought an area rug for her den. The perimeter is 30 feet. The width of the rug is
2yards What is the area of Ms. Johnson's rug in square feet and square yards?
in both feet and yards.

Answer:

4x^2 -12x +9

now

4 x 9 = 36

first take out the LCM of 36

it will be

2 x 2 x 3 x 3

4x^2 -6x -6x +9

2x(2x-3) -3(2x-3)

(2x-3)(2x-3)

it is showing that

2x-3 is the length for part A

Answer:

you have to substitute the value of the variables then solve

Answer:

subtraction property of equality

2x +2 - 2 = 10 - 2

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]

Answer:

Step-by-step explanation:

Sin² x - Cos² x  = (1 - Cos² x ) - Cos² x                {Sin² x + Cos² x = 1}

                          = 1 - 2Cos² x

                         = - (2Cos x -1)

                          [tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]

                          Hence proved

Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

Answer:

I can't really see anything in here could you make the photo up close. Please thanks, I really want to help you :)))

Step-by-step explanation:

Answer:

RS = 17

Step-by-step explanation:

QS = 62

RS = ?

QR = 45

QS - QR = RS

62 - 45 = 17

Thus RS = 17

Answer:

[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]

Step-by-step explanation:

Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.

Answer:

2/3

I hope this helps!! :)

interval notation of x<2

x=1

Answer:

x= HJ+27/7

Step-by-step explanation:

HJ + 27 = 7x

HJ+27/7 = x

Answer:

-2 degrees per hour

Step-by-step explanation:

Rate of change = -3 1/2 / 1 3/4

= -7/2 / 7/4

= -7/2 * 4/7

= -28/14

= - 2

Answer:

2x+2

Step-by-step explanation:

(x+1)(x+2)=0

Because it has the same i think you can just put the x's to together and make it 2x and multiply the 1x2 and that equals 2 so i think its 2x+2 maybe it could be 2x+3 or 2x*3 or 2x*2 but im pretty sure its 2x+2it makes sense because both of the x's are in the front of the + and the 1 and 2 are in the back

Answer:

19

Step-by-step explanation:

g(x) = x^2 +3

substituing x for 4,

g(4) = 4^2 + 3

g(4) = 16 + 3

g(4) = 19

Answer:

3x² + 2x -16

Step-by-step explanation:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

The expanded form of the trinomial (3x+8)(x-2) is 3x² + 2x -16

To expand the trinomial (3x+8)(x-2), we can use the distributive property.

First, we multiply the first terms of each binomial: 3x * x = 3x^2.

Next, we multiply the outer terms: 3x * -2 = -6x.

Then, we multiply the inner terms: 8 * x = 8x.

Finally, we multiply the last terms of each binomial: 8 * -2 = -16.

Putting it all together, we have:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

Learn more about distributive property here;

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#SPJ6

Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Answer:

D

Step-by-step explanation:

If we do 8:35 + 40 mins it equals to 9:15

So then we have to add 5 hours to equal to 2:15 :D

Answer:

I think the answer is (0)

Step-by-step explanation:

I am not sure about this

Answer: m=6

Step-by-step explanation:

Take the inequality 50m + 11 < 75m + 25 and replace the m with (6).

This makes 50(6) + 100 < 75(6) +25. Multiply on each side.

The result is 300 + 100 < 450 + 25 which is the same as 400 < 475.

Brainliest please?

Answer:

what is this lol can u tell u

Answer: no

Step-by-step explanation: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is [tex]a+34[/tex]

The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]

The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]

The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]

Learn more:

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Answer:

a. $2100 b. $945000

Step-by-step explanation:

You have to divide 525000 and 250 to solve for "a". To solve for "b" you need to find %100 of the profit and do %100 of the profit times 0.45 to see how much is %45 of profit.

Answer:

89

Step-by-step explanation:

show your work

Answer:

25% increase

Step-by-step explanation:

= [tex]\frac{150-120}{120}[/tex] x 100

= [tex]\frac{30}{120}[/tex] x 100

= 0.25 x 100

= 25% increase