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kicyunya [14]
2 years ago
15

The floor of a room is being covered with tile. An area one half

Mathematics
1 answer:
tangare [24]2 years ago
4 0

Answer:

Only the floor area \frac{3}{8} has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

A = lw

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

l' = \frac{1}{2}l

w' = \frac{3}{4}w

So:

A' = \frac{1}{2}l(\frac{3}{4}w)

A' = \frac{3}{8}lw

Finally:

A' = \frac{3}{8}A


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Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,
blondinia [14]

Answer:

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Step-by-step explanation:

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3 years ago
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Estimate the unit rate to the nearest hundredth. $1.19=GRAPE JUICE 12 fl oz. The unit rate is about$_ per fluid ounce.
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To find the unit rate of a given amount, you have to divide the price by the fluid oz or amount. In this case it is 1.19 / 12. The quotient is 0.0991666667 or (rounded) $0.10.
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3 years ago
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Please help!!!<br><br> i need help with this
goblinko [34]

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

a) (2xy + 4x) + (15xy - 5x)  = <u>2xy + 15xy</u> +<u> 4x - 5x</u>

                                         = 17xy - x

b) (6a + 4b² - 3) + (3b² - 5) = 6a + <u>4b² + 3b²</u>  <u>- 3 - 5 </u>

                                           = 6a + 7b² - 8

c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ <u>- 3x² + 8x²</u>  <u>+ 4x - 5x</u>

                                               = 4x³  + 5x² - x

d) (7b - 6a  + 9y) - (12b + 5a - 2y) =

In subtraction, add the additive inverse of (12b + 5a - 2y)

additive inverse = - 12b  - 5a  + 2y

(7b - 6a  + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y  -12b -5a + 2y

                                                   = 7b - 12b  -6a - 5a  + 9y + 2y

                                                   = -5b - 11a + 11y

e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)

Additive inverse of  13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y

(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y

                    = 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y

                    = -2x²  - 6x  - 7 + 15y

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erastova [34]
80% = 6 in
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100/x 80/6 (proportional relationship)

then cross multiply

600 = 80x
600/80= 7.5

x=7.5
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3 years ago
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