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andre [41]
3 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]3 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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Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40
Yuki888 [10]

One x- value of the solution is : -2 or -8

<h3>What is an equation?</h3>

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

x^{2} + 7x -24 = -3x - 40

x^{2} +7x +3x -24 +40 = 0

x^{2} + 10x +16 = 0

x^{2} +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

Learn more about system of equation : brainly.com/question/14323743

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5 0
2 years ago
Aquarium tank holds 285 liters of water how much is this in gallons
Marianna [84]
285 liters is 75.289 U.S. gallons.
7 0
3 years ago
Read 2 more answers
Show all work please!!!!!!
sergij07 [2.7K]
The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
    (0+2)/2 = 1
     (2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
     sqrt of (7 -1)^2 + (-7 - 1)^2
     sqrt of (6)^2 + (-8)^2
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Hope this helps!
7 0
3 years ago
Suppose 300 nursing students took a certification test that is worth 100 points.
Alja [10]

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Step-by-step explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

Minimum = 40

Q_1 = 65

Median = 82

Q_3 = 88

Maximum = 100

Q_1 is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below Q_1 and about 75% lie above Q_1 .

Q_3 is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie belowQ_3 and about 25% lie above Q_3

i) .About how many students scored 65 or better?

Q_1 = 65

Since we know that 75% lie above Q_1 .

So, Number of students  scored 65 or better = 75\% \times 300 = \frac{75}{100} \times 300 =225

ii)About how many students scored 88 or better?

Q_3 = 88

Since we know that 25% lie above Q_3

So, Number of students scored 88 or better = 25\% \times 300 = \frac{25}{100} \times 300 =75

Hence 225 students scored 65 or better and 75 students scored 88 or better.

7 0
3 years ago
Reasoning point F lies on EG and point M lies on EN. If F,E, and M are collinear, what must be true of these rays.
almond37 [142]
This means that all of the points are co-linear. This is because if EG is a segment that contains F, and EN is a segment that contains M, then there can be two different segments. However, for a point F on the first segment and a point M on a second segment be in the same line as an end point of one of the segments, the segments have to be co-linear. They overlap. 
6 0
3 years ago
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