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Yuri [45]
3 years ago
15

A rectangular kitchen floor measures 20 feet by 13 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet,

and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator?
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Calculate area by multiplying the length by the width:


Area of kitchen: 20 x 13 = 260 square feet.


Area of stove: 3 x 4 = 12 square feet.

Area of refrigerator: 4 x 5 = 20 square feet.


Now subtract the area of the stove and refrigerator from total area of the kitchen:


Area uncovered: 260 - 12 - 20 = 228 square feet.


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Answer:

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Step-by-step explanation:

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3 years ago
Which choices are equivalent to the expression below? Check all that apply. 6√3
Westkost [7]

Answer:

case A. \sqrt{18}*\sqrt{6}

case B. \sqrt{108}

case E. \sqrt{3}*\sqrt{36}

Step-by-step explanation:

we have

6\sqrt{3}

we know that

6\sqrt{3}=\sqrt{36*3}=\sqrt{108}

<u>Verify each case</u>

case A) \sqrt{18}*\sqrt{6}

\sqrt{18}*\sqrt{6}=\sqrt{18*6}=\sqrt{108}

therefore

\sqrt{18}*\sqrt{6} is equivalent to 6\sqrt{3}

case B) \sqrt{108}

so

\sqrt{108} is equivalent to 6\sqrt{3}

case C) \sqrt{3}*\sqrt{6}

\sqrt{3}*\sqrt{6}=\sqrt{18}

therefore

\sqrt{18} is not equivalent to 6\sqrt{3}

case D) \sqrt{54}

so

\sqrt{54} is not equivalent to 6\sqrt{3}

case E) \sqrt{3}*\sqrt{36}

\sqrt{3}*\sqrt{36}=\sqrt{108}

therefore

\sqrt{3}*\sqrt{36} is equivalent to 6\sqrt{3}

case F) 108

so

108 is not equivalent to 6\sqrt{3}

6 0
3 years ago
How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Paraphin [41]
X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
8 0
3 years ago
I need m and b help please
nirvana33 [79]
It took me awhile but I got it

m= -2/7
b=5 5/7


or

y=-2/7x+5 5/7
6 0
3 years ago
Read 2 more answers
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