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satela [25.4K]
2 years ago
13

Identify the solution to the system of equations 4x-y=7 -12x+3y=-21

Mathematics
1 answer:
Elza [17]2 years ago
5 0

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

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Which of the following numbers is less than 2/3? <br> F. -1/2<br> G. 1/3 <br> H. -7/8 <br> J. -1/6
stiks02 [169]

Answer:

All of them are.

Step-by-step explanation:

F. H. J. are all negative and G. is just smaller than 2/3

4 0
3 years ago
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How do you find the original price when given the sale price and the percent of the discount
liberstina [14]
<span><span>The rate is usually given as a percent.
</span><span>To find the discount, multiply the rate by the original price.
</span>To find the sale price, subtract the discount from original price.</span>
5 0
3 years ago
Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)
Lyrx [107]

Answer:

(45,35)

Step-by-step explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

4x + 4y = 40

2 - We can eliminate by subtracting the bottom equation from the top equation

 3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

 3x = -5

- 4x = 40

4 - Continue simplifying

-1x = -45

5 - We can switch the -1x with -x to make things simple

-x = -45

6 - Positize (make it positive) the statement

x = 45

7 - Halfway there! Substitute the x value into one of the equations

(3 * 45) - 4y = -5

8 - Solve

135 - 4y = -5

Minus 135 on both sides

-4y = -140

Divide by -4 on both sides

y = 35

9 - Here is your answer!!

x = 45

y = 35

(45,35)

4 0
2 years ago
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A jacket is on sale for 20% off the regular price. The sale price ism$50.00. What is the regular price of the jacket?
Delicious77 [7]
Lets solve for x.

 0.8x = 50. - Remember that the jacket was 80% of the original price.

Thus, divide by x.

x = 50 / 0.8
x = 62.5
7 0
3 years ago
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A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards
jenyasd209 [6]

Answer:

114 yards

456 yards

Step-by-step explanation:

Given that:

Area of square parking lot = 12,996 square yards

The lenght of one side of the parking lot :

Area of a square = a² ; a = side length

Hence ;

12996 = a²

√12996 = a

114 = a

Hence, length of one side = 114 yards

Yards of fence needed to enclose parking lot :

Perimeter of a square = 4a ; a = side length

Perimeter = 4(114)

Perimeter = 456 yards

7 0
2 years ago
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