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svetoff [14.1K]
2 years ago
12

A doormat is 2 feet long. If you placed 2 doormats in a line, would they be longer than 1 yard? Explain your answer.

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

Answer:

Yes

Step-by-step explanation:

A yard is equivalent to 3 feet. If a singular doormat is 2 feet long then two doormats placed in a line would be 4 feet long. 4 > 3 meaning they would be longer than a yard.

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NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
Lemur [1.5K]

Answer:

Greater than the original = 2, 4

Less than the original = 5

Same as the original = 1, 3

Step-by-step explanation:

Let the original value be x.

1. A $30 increase followed by a $30 decrease.

New value =x+30-30=x, it is same as original value.

2. A 20% decrease followed by a 40% increase.

Afer 20% decrease.

New value =x-\dfrac{20}{100}x=x-0.2x=0.8x

Afer 40% increase.

New value =0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x, it is greater than original value.

Similarly check the other values.

3. A 100% increase followed by a 50% decrease.

New value =x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x, it is same as original value.

4. A 75% increase followed by a 33% decrease

New value =x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x, it is greater than the original value.

5. 55% decrease followed by a 25% increase

New value =x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x, it is less than the original value.

Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .

6 0
3 years ago
Please help, it's very important!
kogti [31]

Answer:

The gear ratio is calculated by dividing the output speed by the input speed (i= Ws/ We) or by dividing the number of teeth of the driving gear by the number of teeth of the driven gear (i= Ze/ Zs)

8 0
2 years ago
What's the simplified form of this expression? 3-[-2/3 x (7 +2) =11]
svetoff [14.1K]

Answer:

x = 4/3

Step-by-step explanation:

7 0
3 years ago
Which best describes the transformation that occurs from
Law Incorporation [45]

Answer:

right 2 , up 3.

Step-by-step explanation:

The -2 moves 2 to the right and the + 3 means 3 up.

6 0
3 years ago
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
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