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likoan [24]
3 years ago
8

Roger wants to carpet a rectangular room with length of 8 3/4 feet and a width of 9 1/3 feet. If he has 85 square feet of carpet

, how many square feet of carpet will be left after he covers the floor of the room?
Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

12.66 ft^2

Step-by-step explanation:

Given the dimensions of the room are 8\frac{3}{4}=\frac{31}{4} and 9\frac{1}{3}=\frac{28}{3}.

The area of the room =length*width

Area=\frac{31}{4} *\frac{28}{3}

Area=72.33 ft^2

The area of the carpet=85 ft^2

The area of carpet left= Total area of carpet - the area of the room

The area of carpet left= 85-72.33=12.66 ft^2

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Simplify:<br> 5 1/12 - 2 3/4 =<br> Express your answer as a mixed number.
disa [49]

Answer:

Mixed Number Form: 2 1/3

Step-by-step explanation:

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2 years ago
Anyone wanna help with this iready question?
Illusion [34]

Answer:

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7 0
3 years ago
Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total
Paladinen [302]
<span>The function can be described as

b(p)= player receives 10 bonus points 
</span>b(p)= p+10<span>

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4 0
3 years ago
Write the point-slope equation of the line that passes through(3,5) and (7,1)
Liono4ka [1.6K]

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

5 0
3 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

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The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

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The volume of the shed has the following formula

V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3

To find the maximum value for V, we can take its first derivative, and set it to 0

\frac{dV}{ds} = 45 - 1.2s^2 = 0

1.2s^2 = 45

s^2 = 45 / 1.2 = 37.5

s = \sqrt{37.5} = 6.124 ft

h = 45/s - 0.6s = 3.674 ft

4 0
3 years ago
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