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andre [41]
2 years ago
8

Reggie currently has a square rug in his living room. He is moving soon and has determined that for his new living room, he will

need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. Let x represents the side measure of Reggie's current rug, in feet. Determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.
Mathematics
1 answer:
lara [203]2 years ago
7 0
Reggie currently has a square shaped rug in his living room. The side lengths of square are all equal. The length of a side of a square is given to be x feet.
So length and width of current rug are x feet and x feet respectively.

For his new room, he needs a rug that is 2 feet shorter in width than his current rug. So the width of new rug will be (x - 2) feet. The length of his new rug will be 5 feet more than the length of his current rug. So the length of new rug will be (x + 5) feet.

The new rug will have unequal length and width, hence it will be rectangular in shape. The area of new rug will be:

Area = Length x Width

y = (x + 5)(x - 2) square feet

This equation represents the Area of the rug Reggie needs for his new room.
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Alejandro will deposit $1,750 in an account that earns 6.5% simple interest every year. His sister Anallency will deposit $1,675
ivann1987 [24]

Answer: Anallency

Step-by-step explanation:

First, lets make two equations for both siblings, using the base: SI = P(1 + rt) and CI = P(1 + r/n)^nt

Alejandro = 1750(1 + 0.065[4]) = 1750 + 455 = $2,205

Anallency = 1675(1 + 0.075/1)^4 = $2236.91

After 4 years, Alejandro will have $2,205, and Anallency will have $2236.91

Since $2236.91 > 2,205, Anallency will have more money after 4 years.

6 0
2 years ago
Read 2 more answers
Teresa is going for a run. she runs for 9.6 miles at a speed of 6 miles per hour. for how many hours does she run?
Lera25 [3.4K]
Speed=6 miles per hour
Distance =9.6 miles
Speed =distance /time
Time=distance/speed=9.6/6=1.6 hours
7 0
3 years ago
A plant produces sport drinks, which must be within 0.15 fluid ounces of the advertised 10 fluid ounces on the label. If x repre
Sphinxa [80]

Answer:

|x − 10| = 0.15; x = 9.85 ounces

Step-by-step explanation:

its common math skills but yea.

4 0
1 year ago
HELP ASAP! The number of entertainment websites in 1995 wass 54. By 2004 there were 793 entertainment website..
AleksandrR [38]
<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...

In a more written out way, the steps would be

slope = rise/run

slope = (y2-y1)/(x2-x1)

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

3 0
3 years ago
Is 976 -522 more or less than 400? Explain how you can tell without actually subtracting.
liq [111]
You can round 976 to 1000 and 522 to 500. So it would be
1000 - 500 = 500. The answer you would get after subtracting 976-522 would be more than 400 if you round it.
3 0
3 years ago
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