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ahrayia [7]
4 years ago
7

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

x2 – 99 = 0
x2 – 99x = 0
x2 + 5x + 104 = 0
x2 + 5x – 104 = 0
Mathematics
2 answers:
____ [38]4 years ago
7 0

Answer:

x^2 + 5x - 104 = 0

Step-by-step explanation:

          (x + 5)x = 104         Original equation

        x^2 + 5x = 104         Distributive property

x^2 + 5x - 104 = 0             Subtract, make the right side equal to 0

choli [55]4 years ago
4 0

Answer:

D

Step-by-step explanation:

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2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the a
Burka [1]

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

Difference = 4 * 3 - 3 * 3

Difference = 12 - 9

Difference = 3

Hence, Joe reads 3 more books

Option D answers the question.

3 0
3 years ago
Which figures have a volume greater than 500 cubic inches? Choose all that apply.
yaroslaw [1]

Answer:

All shapes except the cone with 5in radius and 8in height

Step-by-step explanation:

Volume of the cylinder with radius 5in and height 8in is expressed as;

V = πr²h

V = 3.14*5²*8

V = 3.14*25*8

V = 628 square inches

The volume of the cylinder is greater than 500in³

Volume of the cone with radius 5in and height 24in is expressed as;

V = 1/3πr²h

V = 1/3*3.14*5²*24

V = 3.14*25*8

V = 628 square inches

The volume of the cone is greater than 500in³

Volume of the spheree with radius 5in is expressed as;

V = 4/3πr³

V = 4/3π(5)³

V = 4/3 * 3.14 * 125

V = 523.33 square inches

The volume of the sphere is greater than 500in³

6 0
3 years ago
I hope everyone has a wonderful blessed day!!!!
postnew [5]

Answer:

Thanks

Step-by-step explanation:

4 0
3 years ago
A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of t
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Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

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