To find the slope (m), use the slope formula:
and plug in the two points
(4, -4) = (x₁, y₁)
(6, -6) = (x₂, y₂)
[lines usually go from left to right, so the point furthest to the left is the 1st point]

[two negative signs cancel each other out and become positive]


m = -1
For this case we propose a system of equations. We have to:
x: Let the variable that represents the number of dimes
y: Let the variable that represents the number of quaters
We know that:
One dime equals 10 cents, $0.10
A quater equals 0.25 cents, $0.25
According to the statement we have:

We multiply the first equation by -0.10:

We have the following equivalent system:

We add the equations:

Approximately 3 quater coins

And two dimes
Answer:
3 quater
2 dimes
<h3>
Answer: 1728 dollars</h3>
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Explanation:
1 yard = 3 feet
We'll divide by 3 to convert from feet to yards
- 27 feet = 27/3 = 9 yards
- 18 feet = 18/3 = 6 yards
The basement is 9*6 = 54 square yards in floor area.
At $32 per square yard, the total cost to carpet the floor is 32*54 = 1728 dollars.
The right answer is Option C.
Step-by-step explanation:
Given inequality is
6(2x-1) > 24
Solving the inequality

Adding 6 on both sides

Dividing both sides by 12

Therefore,

The right answer is Option C.
Keywords: inequality, division
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