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GaryK [48]
3 years ago
15

What type of System if the two linear equations have only one solution?

Mathematics
1 answer:
fomenos3 years ago
6 0
An independent system
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A pair of shoes costs $30.99 and the state sales tax is 5%. Use the formula C = p + rp to find the total cost of the shoes, wher
liberstina [14]
First, write the rate as a decimal by moving the decimal point two places to the left from the percent.

r = 5% = 0.05

C = p + rp

C = 30.99 + 0.05 * 30.99

C = 30.99 + 1.55

C = 32.54

Answer: The total cost is $32.54
5 0
3 years ago
A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box.
wariber [46]

Answer:

4,212 people

Step-by-step explanation:

We are given;

  • Dimensions of the football field are 120 yards by 54 yards
  • 26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

  • We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

                          =  6480 square yards

  • Then we get the area of the box

Area of the box = 5 yards × 8 yards

                           = 40 square yards

  • We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

                             = 6480 sq yards ÷ 40 sq yards

                             = 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

                                            = 4,212 people

Therefore, the number of people that can fit in the football field is 4,212 people.

6 0
3 years ago
What is the area of the rectangle with points of (-5,5) (-1,7) (0,-5) (4,-3)
Gre4nikov [31]

Answer

l =5

w =2

Area of Rectangle= l ×  w

                            =  5 × 2 = 10

Diagram is attached to this:    

Step-by-step explanation:

Download pdf
5 0
3 years ago
What's the sum of an infinite geometric series if the first term is 156 and the common ratio is 2∕3?
DENIUS [597]

Answer:

468

Step-by-step explanation:

Formula for infinite sum of geometric series is;

S_∞ = a1/(1 - r)

Where;

a1 is first term

r is common ratio

We are given;

a1 = 156

r = ⅔

Thus;

S_∞ = 156/(1 - ⅔)

S_∞ = 156/(⅓)

S_∞ = 468

4 0
3 years ago
Which equation is equivalent to 2(3x-5)=5-2(1-x)
aniked [119]

Answer:

6(x-10)=5-2(1-x)

Step-by-step explanation:

I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

7 0
3 years ago
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