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g100num [7]
3 years ago
11

What is the solution to this system of equations? y = x - 20 x + y = 84

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

(52, 32 )

Step-by-step explanation:

Given the 2 equations

y = x - 20 → (1)

x + y = 84 → (2)

Substitute y = x - 20 into (2)

x + x - 20 = 84, that is

2x - 20 = 84 ( add 20 to both sides )

2x = 104 ( divide both sides by 2 )

x = 52

Substitute x = 52 into (1) for corresponding value of y

y = 52 - 20 = 32

Solution is (52, 32 )

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5c) The scale of a map says that 4 cm represents 5 km. What is the actual
Maslowich

● Answer:

6.25 km

● Step-by-step explanation:

Hi there !

4 cm ........... 5 km

5 cm ........... x km

x = 5cm×5km/4cm

= 25km/4

= 6.25 km

Good luck !

5 0
3 years ago
Which equation can be used to find the perimeter of a regular octagon with sides of length 12?
USPshnik [31]
Octagans have 8 sides.
Perimeter is thought of as the length a piece of string would be if it was layed around the edges of the shape.
There are 8 sides, each 12units in length.
Perimeter=8*12=96units
7 0
3 years ago
How to solve the equation 8b - 12 = 5b
Virty [35]

Answer:

b = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8b - 12 = 5b

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Subtract 5b on both sides:                    3b - 12 = 0
  2. Add 12 on both sides:                            3b = 12
  3. Divide 3 on both sides:                          b = 4

<u>Step 3: Check</u>

<em>Plug in b to verify it's a solution.</em>

  1. Substitute:                  8(4) - 12 = 5(4)
  2. Multiply:                      32 - 12 = 20
  3. Subtract:                     20 = 20

And we have our final answer!

4 0
3 years ago
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is t
Tom [10]

Answer: The value of x is 6.

Step-by-step explanation:

TO find the volume of a cube you cube any side length. so if the side  length is 6.

6^3 = 216

To find the surface area of a cube you will square one of the side lengths and multiply it by 6.

so the side length is 6 and 6 squared is 36

36*6 = 216

3 0
3 years ago
Simplify the expression. Write the answer in scientific notation (7x10-6) (3x10-2​
shtirl [24]

Answer:

21 X 10^-8 is the correct answer

Step-by-step explanation:

(7X3) X 10^(-6-2)

21 X 10^ -8

4 0
3 years ago
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