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sukhopar [10]
3 years ago
7

A homeowner wants to insulate the new recreation room in her basement. She has been told that 3' of insulation would do the job.

The walls are all 9' high and respectively measure 13', 13', 18', and 18' in length. How many rolls will she need if each roll measures 3' x 2' x 50'?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

6 rolls

Step-by-step explanation:

Data provided in the question:

Height of wall = 9'

Width of walls = 13', 13', 18' and 18'

Dimension of roll = 3' x 2' x 50'

Now,

Total area of the walls = 9' × 13' + 9' × 13' + 9' × 18' + 9' × 18'

= 117 + 117 + 162 + 162

= 558 ft²

Area of each roll = 2' × 50'

= 100 ft²

Thus,

Number of rolls required = [ Total area of the walls  ] ÷ [ Area of each roll ]

= 558 ft² ÷ 100 ft²

= 5.58 ≈ 6 rolls

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Write a linear equation that passes through the points(2,-2) and (0,1)
Yakvenalex [24]

Answer:

Slope intercept: y = -3/2x + 1

Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]

Step-by-step explanation:

m = (change in y)/change in x)

But also

m = y_2 - y_1/x_2 - x_1


So lets substitute

m = 1 - (-2)/0 - (2)

Lets find the slope

m = 3/0 - (2)

m = 3/-2

m = -3/2 (Moved the negative)

Now we find the value of b using the equation of a line.

y = mx + b

y = (-3/2) * x + b

y = (-3/2) * (2) + b

-2 = (-3/2) * (2) + b

Now we find the value of b

Lets rewrite

-3/2 * 2 + b = -2

Cancel the CF of 2

-3 + b = -2

Move the terms without b to the right

b = -2 + 3

b = 1

Now we substitute our values of the slope and y-int into y = mx + b to find the equation.

y = -3/2x + 1

7 0
2 years ago
Read 2 more answers
Please help, and plz don't be saying this is the right answer if u dont know for sure.
zepelin [54]

Answer:

135 degrees

Step-by-step explanation:

(8x-7)+(12x+57)=180

combine like terms

20x+50 = 180

subtract 50 on both sides

20x = 130

divide by 20

x = 130/20

x = 13/2

x = 6.5

cpq = 12x+57

cpq = 78 + 57

cpq = 135

4 0
3 years ago
Find functions f and g such that h = g ∘ f. (note: the answer is not unique. enter your answers as a comma-separated list of fun
polet [3.4K]

It is given in the question that

h(x) = (fog)(x) = x^2 -81

And x^2 -81

can also be written as

(x^2 -40) -41

Therefore,

(fog)(x) = (x^2 -40)-41

f(g(x)) = (x^2 -40)-41

That gives,

g(x) = x^2 -40, f(x) = x-41

7 0
3 years ago
There are 454 grams in a pound. There are 16 ounces in a pound. How many grams are in an ounce?
Lostsunrise [7]

Answer: There are 28.375 grams in an ounce.


Step-by-step explanation:

Given: Total grams in a pound =454 grams

Total ounces in a pound = 16 ounces

Therefore, 16 ounces = 454 grams

To find grams in an ounce, we need to divide 454 grams by 16, we get

The total grams in an ounce=\frac{454}{16}=28.375\ grams

∴The total grams in an ounce= 28.375 grams

Hence, there are 28.375 grams in an ounce.

8 0
3 years ago
Read 2 more answers
Pleaseee answer 1st correct answer gets brainliest
Ludmilka [50]

Answer:

4. No they do not form a proportion.  5. Yes they do form a proportion

Step-by-step explanation:

4 is less than 7 and 24 is less than 35 so they make proportions.

7.50 is more than 3 and 5 is more than 2 so they do not make proportions.

3 0
3 years ago
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