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Rainbow [258]
3 years ago
11

Identify the property used in the first four steps to solve the equation 4(x-7)=2x-6

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

x = 11

distributive law

additive law

multiplication property

Step-by-step explanation:

Given in the question an equation

4(x-7) = 2x-6

Distributive law

a(b+c) = ab +ac

4x - 4(7) = 2x - 6

4x -28 = 2x - 6

Use the addition property of equality to reduce the 2x on the right.

4x - 2x - 28 = 2x - 2x -6

4x -2x -28 = -6

Use the addition property of equality to reduce -28 to zero on the left.

4x - 2x- 28 + 28 = -6 + 28

2x = 22

Use the multiplication property of equality to reduce 2x to just x

2x2 = 22/22

x = 22/2

x = 11

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A garden table and a bench cost S585 combined. The garden table costs S65 less than the bench. What is the cost of the bench?
garik1379 [7]

Answer:

Bench costs $325

Step-by-step explanation:

Try setting up an equation

x = cost of garden table

y = cost of bench

equation 1: x + y = 585

We also know that the table costs 65 dollars less than the bench.

cost of garden table = bench - 65

or

equation 2: x = y - 65

Now just substitute equation 2 into equation 1

(y-65) + y = 585

and solve for y

2y-65 = 585

2y = 585 + 65 = 650

y = 325 = cost of bench

8 0
3 years ago
What is the area of the segment?
Mademuasel [1]

Answer:

probably 6

Step-by-step explanation:

4 0
3 years ago
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Varvara68 [4.7K]
170,00 square kilometers
4 0
3 years ago
There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side.
Simora [160]

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of <u>distinct</u> numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

3 0
3 years ago
What value of x makes the equation true? 4x - 3= -9 + 7x <br> 2<br> -2<br> −12<br> 12
irina [24]

Answer:

x = 2

Step-by-step explanation:

Given

4x - 3 = - 9 + 7x ( subtract 7x from both sides )

- 3x - 3 = - 9 ( add 3 to both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

4 0
3 years ago
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