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AnnZ [28]
2 years ago
9

2. How many square yards of carpet will be needed for a 21 ft by 15 ft room?

Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

The answer to your question is: 35 yd²

Step-by-step explanation:

To solve this problem, just find the data, the formula, substitute the values in the formula and find the result.

Data

Square yards = ?

Length = 21 ft

Width = 15 ft

Formula

Area of a rectangle = length x width

Substitution

Area of a rectangle = 21 ft x 15 ft

Area of a rectangle = 315 ft²

Area of a rectangle = square yards of carpet

Finally, convert ft² to yd²

315 ft² = 35 yd²

Result

Square yards of carpet = 35 yt²

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One-fifth of a number plus 51 is equal to twice the number plus 42.
AlladinOne [14]

Answer:

1/5x+51=2x+42

Step-by-step explanation:

1/5 of x, the number, plus 51  is equal to 2 times the number plus 42.

3 0
2 years ago
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Based on Max’s father estimate how many minutes will it take to build the box
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2 years ago
Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

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Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

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5 0
3 years ago
What is the range of the function f(x) = -|X - 4| + 5?
Law Incorporation [45]

Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is  -infinity to 5</em>

<em />

<em>answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5</em>

3 0
3 years ago
What is the answer to -5 ( 4w +12) =15 make sure you write the answer as a decimal
seropon [69]

Answer:

w= -3.75

Step-by-step explanation:

-5(4w+12) =15

-20w -60=15

-20w=75

w=-3.75

8 0
3 years ago
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