MATHEMATICS HIGH SCHOOL

Solve the given system, using the substitution method.y = 3x – 7
6x – 2y = 12

A.
There is no solution.

B.
There are an infinite number of solutions.

C.
(12, 14)

D.
(14, 12)

Answers

Answer 1
Answer: y=3x-7\n6x-2y=12\n\n6x-2(3x-7)=12\n6x-6x+14=12\n14=12\nx\in\emptyset \Rightarrow A

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The lateral area of a cube is 36 square inches. How long is each edge?

Answers

The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.

What is the Lateral Area of a Cube?

Lateral area of a cube = 4a², wherea is the length of each edge of the cube.

Given the parameters:

  • Lateral area = 36 square inches
  • Length of each edge = a = ?

4a² = 36

a² = 36/4

a² = 9

a = 3 inches.

Length of each edge of the cube = 3 inches.

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Cubes have three square sides. The area of one side is the edge length squared:
36 = L^2
L = sqrt(36) = 6
The volume of a cube is edge length cubed:
V = L^3 = 216 cubic inches

124 ÷ 7283 i need help understanding it

Answers

Answer:

0.01702595084 or 0.⁻0⁻ (line is above the second zero)

Step-by-step explanation:

it is not a full number and its rational

Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8

y = 1 over 4x − 8

y = −4x − 8

y = −1 over 4x − 8

Answers

To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
y = -1 over 4x - 8 is the answer I think

Needs more points....not done with this one

Answers

Coordinates of point  C (2,-1). Explanation is in the attachment.

The table shows the amount earned for washing cars. How much is earned for washing 25 cars? 3 cars=$13.50, 6 cars=$27, 9 cars=$40.50, and 12 cars=$54

Answers

You need to find out how much it costs to wash one car, so:

3×=13.50
Divide both sides by 3.
x=4.5 per car. 
Now multiply 4.5 by 25 which should give you $112.50

How do you write 72.5% as a fraction in simplest form

Answers

The 72.5% as a fraction in simplest form is (29/40)

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have to write 72.5% as a fraction in simplest form.

So we put 72.5 over 100

That is (72.5/100)

Now multiply the top and the bottom by 10 to get rid of the decimal, giving;

725/1000

Then divide the top and bottom by like factors,

5 (145/200)

Then another 5,

29 over 40 (29/40)

Hence, the 72.5% as a fraction in simplest form is (29/40)

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So you put 72.5 over 100 (72.5/100)
Then you multiply the top and the bottom by 10 to get rid of the decimal, giving you 725/1000
Then you divide the top and bottom by like factors, starting with 5 (145/200)
Then another 5, giving you 29 over 40 (29/40)
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