Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its width, w. Tack strip is placed around the perimeter of the room, which is equal to five times the width. If carpet costs $2.99 a square foot, what the total cost to carpet the living room?

Answer:

x intercept is (3,0)

y intercept is (0,-10)

Answer:

110

Step-by-step explanation:

In the triangle angle theorem the angles will all add up to equal 180.

180-20-50=110

Answer:

The original line and new line are the same.

Step-by-step explanation:

Lines have infinite length. Translating a horizontal line to the right or left will give the same line.

Answer:

9

Step-by-step explanation:

I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!

Answer: they sold 35 skis and 48 snowboard

Step-by-step explanation:

52 x 35 = 1820

64 x 48 = 3072

1820 + 3072 = 4892

Answer:

A. 6x+12x+90=180

Step-by-step explanation:

to find x they must all add up to 180 degrees

Answer:

Step-by-step explanation:

Answer:

180= 2x + 37 + 67 + 90

2x = 180 - 37 - 67 - 90

2x = -14

X= -7

A = -7 + 37 = 30

-7 + 67 = 60

30 + 60 + 90 = 180°

They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.

Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.

As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.

The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.

So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.

Answer:

Each friend gets 3 1/4 apple

Step-by-step explanation:

13 divided by 4 simplified is 12 divided by 4 is 3 and 1 divided by 4 is .25 or 1/4

Answer:

3.25

Step-by-step explanation:

Answer:

2hours

Step-by-step explanation:

Given data

Company A

charges a fixed amount of $10 plus $8 per hour

let the number of hours be x

and the total be y

y= 10+8x----------------1

Company B

charges a fixed amount of $6 plus $10 per hour for a one-person kayak.

let the number of hours be x

and the total be y

y= 6+10x----------------2

Equate 1 and 2 above

10+8x= 6+10x

collcet like terms

10-6= 10x-8x

4= 2x

x= 2hours

Hence after 2 hours the charges will be the same

Answer:

b

Step-by-step explanation:

because the 1 is negative

Answer:

the total distance walked is 20 km

Step-by-step explanation:

The computation of the total distance he walked is shown below:

Let us assume the total distance walked be d

Now the total time would be

Total time = (d ÷ 2) ÷ 8 +  (d ÷ 2) ÷ 5 = 3.25

d ÷ 16 + d ÷ 10 = 3.25

(5d + 8d) ÷ 80=3.25

13d = 260

d = 20 km

Hence, the total distance walked is 20 km

Answer:

2. kaiden (mine lol >:) ) and least would be micah

Answer:

1:14

Step-by-step explanation:

The ratio of the number of albums sold to the number of songs sold is 1:4.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Charge for one Album = $7

Each song charges = $1.5

Total Albums and songs sold = 170

and, total worth of both = $442.00

The system of Equations can be

x + y = 170

and, 7x + 1.5y = 442

Then, 7x + 1.5(170 - x) = 442

7x + 255 - 1.5x = 442

5.5x = 187

x= 34

and, y= 170- 34 = 136

So, ratio = 34 / 136

              = 1/4

Learn more about ratio here:

https://brainly.com/question/29774220

#SPJ2

Answer:

y = -1x -2

Step-by-step explanation:

Just doing it in my head so im only like 90% sure edit: okay just checked my work and ya its y= -1x -2 :)

In this problem, we will be using the point-slope formula.

y - y₁ = m(x - x₁)

The point we are given, (-5, -3), represents (x₁, y₁) in the formula

and our slope which in this case is -1 represents our m.

Now let's plug all our information into the point-slope formula.

So we have y + 3 = -1(x + 5).

Remember that minus a negative means plus a positive

which is why I changed y - (-3) to y + 3 and the same for the x + 5.

So we have y + 3 = -1(x + 5).

Now distribute the -1 to get y + 3 = -x - 5

Now move the 3 to the right side by subtracting 3 to get y = -x - 8.

Now add x to both sides to get x + y = -8.

So the equation of this line in standard form is x + y = -8.

Answer:

thank you to your question i dont know if my

answer is correct this is my answer letter B

Answer:

54degrees

Step-by-step explanation:

there is a similar angle that is also 54 so x must be 54 degrees

pls correct me if im wrong

Answer:

5190

Step-by-step explanation:

2.7% of 6000 is 162.

There is a 5 year span between 2009 and 2014.

So just subtract 162 from 6000 5 times, or multiply 162 by 5, then subtract that from 6000.

Hope It Helps!

Answer:

1. x=1

2. y=5

3. m=-6

4. z=3

Step-by-step explanation:

Answer:

I don't know because i am doing math along the way to solve answer.

Step-by-step explanation:

4x+8=2x+10

4x-2x+8=10

2x=10-8

2x=2  

x=1 ANSWER FOR 1

2.)

Same thing as 1.

9y-3=6y+12

3y=15

Divide both by 3 and you get

y=5 Answer For 2

________________________

3.)

8m+4=4m-20

4m=-24

m=-6 Answer For 3

_________________________

4.)

11z-14=5z+4

6z=18

z=3 Answer for 4

Answer:

brainliest plss

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Which is the same as 15.39 ÷ 100?

[tex]15.39 ÷ 100 = \dfrac{1539}{100} \div 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \dfrac{1539}{100} \times \dfrac{1}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{10000} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000 \times 10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000} \times \dfrac{1}{10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =1.539 \div 10[/tex]

Hence, c is the correct option.

its answer is c .........

Answer:

Step-by-step explanation:

Set 5x+9 equal with  4x +17 and solve for x

Then set whatever x is equal to y+ 20 and solve and find y

Then your done

Answer:

c and f

Step-by-step explanation:

all sides are different lengths and it has a right angle

Answer:

Step-by-step explanation:

Given function:

Find the value of P(x) at x = 150:

Answer:

c hopefully this helps you

Answer:

D. CPCTC

Step-by-step explanation:

If the wholes of both triangles are congruent, then their separate parts must be congruent as well. Therefore, Congruent Parts of Congruent Triangles are Congruent.

Answer:

$4.50

Step-by-step explanation:

50 x 0.09 = 4.5