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Vlad [161]
3 years ago
12

You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

ts of the house are 28 by 30' and there is a 12 by 4' hole for the stairs to come up from the basement. How many sheets of plywood will be needed? Round up to the nearest sheet
Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures 4ft*8ft=32ft^{2}.

We have to cover the surface of the house, minus the surface of the hole of the stairs.

Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

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Which is wider 8 mm or 5/16 in.?
Usimov [2.4K]
They are about the same length. 8 mm is 0.314961 inches. 5/16 inches in decimal form is 0.3125 inches.
3 0
3 years ago
What will be the value of the 22nd coefficient of a binomial raised to the power 25​
Alona [7]

Step-by-step answer:

We are looking at the coefficient of the 22nd term of (x+y)^25.

Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on,  22nd term is x^21y^4.

The twenty-second term of (x+y)^25 is given by the binomial theorem as

( 25!/(21!4!) ) x^21*y^4

=25*24*23*22/4! x^21y^4

= 12650 x^21 y^4

The coefficient required is therefore 12650, for a binomial with unit valued coefficients.

For other binomials, substitute the values for x and y and expand accordingly.

Question would have been more clearly stated if the actual binomial was given, as commented above.

4 0
3 years ago
Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?
jok3333 [9.3K]

Answer:

\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have the slope m=\dfrac{1}{2} and the point (-2, 4).

Substitute:

y-4=\dfrac{1}{2}(x-(-2))

y-4=\dfrac{1}{2}(x+2) - point-slope form

Convert to the slope-intercept form (y = mx + b):

y-4=\dfrac{1}{2}(x+2)      <em>   use the distributive property</em>

y-4=\dfrac{1}{2}x+1         <em>add 4 to both sides</em>

y=\dfrac{1}{2}x+5 - slope-intercept form

3 0
3 years ago
Write a proportion for the statement.<br> 40 is to 10 as 32 is to 8.
Svetach [21]

Hi! ⋇

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

  All proportions have <u>this</u> <u>form</u>:

  \sf{\dfrac{a}{b}=\dfrac{c}{d}}, Where \sf{\dfrac{a}{b}} is equal to \sf{\dfrac{c}{d}}.

 If \sf{\dfrac{a}{b}\neq\dfrac{c}{d}}, it's <u>not</u> a proportion.

_________________________

  Here we have two pairs of numbers:

40,10 and 32,8.

Written As a <u>proportion</u>, they <em>look like</em> :

\sf{\dfrac{40}{10}=\dfrac{32}{8}}

Hope this made sense to you :)

\it{Calligrxphy}

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

6 0
2 years ago
If (2,3) is reflected over the y axis what is the new coordinates
Andrei [34K]

Answer:

(-2,3)

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis. the y-axis is the point (-x,y).

3 0
3 years ago
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