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atroni [7]
3 years ago
9

Solve for x 6 (8X minus 1) equals 9 (x + 2)

Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

x = \frac{8}{13}

Step-by-step explanation:

Given

6(8x - 1) = 9(x + 2) ← distribute parenthesis on both sides

48x - 6 = 9x + 18 ( subtract 9x from both sides )

39x - 6 = 18 ( add 6 to both sides )

39x = 24 ( divide both sides by 39 )

x = \frac{24}{39} = \frac{8}{13}

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Explain how to find the inequality that represents the graph.
Aloiza [94]

The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

<h3>Graph of Inequality</h3>

From the question, we are to determine the inequality that represents the graph

First, we will assume the inequality is a straight line and we will determine the equation of the line

From the graph, we have two points on the line

(0, -2) and (5, -1)

Using the formula for the equation of a line with two given point

(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)

x₁ = 0

y₁ = -2

x₂ = 5

y₂ = -1

Thus,

(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)

(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)

(y +2)/(x ) = 1/ 5

5(y + 2) =1(x)

5y + 10 = x

5y = x - 10

y = 1/5(x) - 2

y = x/5 - 2

Now,

Since the solution is below the line and the line is dotted

The inequality becomes

y < x/5 -2

OR

5y < x - 10

Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

Learn more on Graph of Inequality here: brainly.com/question/17106134

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5 0
1 year ago
The sum of five-eights and x is one-fourth
Nat2105 [25]

Answer:

0.625

Step-by-step explanation:

7 0
3 years ago
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Solve each of the following equations. Be make sure to check your solutions. Solve for part b only.
Alona [7]

Answer:

or, 3x-5=2.5x+3-x+4

or, 3x-1.5x=7+5

or, 2.5x=12

or, x=4.8 solved.

3 0
3 years ago
7. If U= {2, 4, 6, 8, 10, 12, 14, 16} and<br> A = {6, 10, 14}, what is A'?
Tresset [83]

The compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

We are given the universal set as:

U = {2, 4, 6, 8, 10, 12, 14, 16}

We are also given that set A is:

A = {6, 10, 14}

We need to find A'

For this, we will subtract set A from the universal set, U.

So, we get that:

A' = U - A

A' = {2, 4, 6, 8, 10, 12, 14, 16} - {6, 10, 14}

Solving the expression, we get that:

A' = {2, 4, 8, 12, 16}

Therefore, we get that, the compliment of set A that is A' is equal to {2, 4, 8, 12, 16}.

Learn more about sets here:

brainly.com/question/2166579

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5 0
1 year ago
A kangaroo hops 2 kilometers in 4 minutes. How far can the Kangaroo hop in 10 minutes?
Artyom0805 [142]

Answer:

5 km

Step-by-step explanation:

10/4 = 2.5

2 x 2.5 = 5

6 0
3 years ago
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