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WITCHER [35]
3 years ago
13

PLEASE HELP 50 POINTS AND BRAINLIEST FOR WHOEVER ANSWERS CORRECTLY!!! PLEASE HELP FAST!

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

s + g = 575

g = 75 + s

g = 325

s = 250

Step-by-step explanation:

Given that :

Total amount earned by Sharon and Geordi = $525

Also, Geordi earned $75 more than Sharon

Let amount earned by Sharon = s

Amount earned by Geordi = g

Equations :

s + g = 575 - - - equation 1

g = 75 + s - - - equation 2

Put g = 75 + s in equation 1

s + 75 + s = 575

2s + 75 = 575

2s = 575 - 75

2s = 500

s = 250

g = 75 + s

g = 75 + 250

g = 325

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0
3 years ago
The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec
mixer [17]
ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
8 0
3 years ago
Read 2 more answers
Find the Slope of the line through each pair of points: (-4,11),(1,-9)
kogti [31]

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

6 0
3 years ago
1500 computer; 7% tax
anyanavicka [17]
If this is adding or subtracting you can get your answer by using the formula part over whole so turning it into a fraction and solving so you would have 1500 over 7% hope this helps
3 0
3 years ago
M<br> (2y+19)<br> (5x+20)<br> n<br> (4x-11)
AleksandrR [38]

Answer:

(5x+20)+(4x-11)=180(linear pair)

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

now,

(2y+19)+(5x+20)=180(co-interior angle)

2y+19+5×19+20=180

2y+134=180

2y=180

y=180/2

y=90

7 0
2 years ago
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