The value of x is 
Explanation:
The given expression is 
We need to find the value of x.
To determine the value of x, let us solve the expression for x.
Multiplying the term 3 within the bracket, we have,
Simplifying, we get,
Adding both sides of the expression by 13x, we have,
Adding both sides of the expression by 18, we get,
Dividing both sides of the equation by 21, we get,
Thus, the value of x is
<h3>Answers:</h3>
It's not a typo that both answers are 24
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Explanation:
Each time the weight goes up by 1 ounce, the cost goes up by 24 cents. So the unit cost is 24 cents per ounce. This is exactly the slope of the line because the slope is the rate of change. It tells us how fast something is changing.
You can use the slope formula to answer this question, but I think it's easier to simply locate the point (1,24) and then note that slope = rise/run = y/x = 24/1 = 24. This shortcut only works because the line goes through the origin.
The equation of this line is y = 24x
x = number of ounces
y = cost in cents
<u>Given</u>:
Given that a basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide.
We need to determine the length of the diagonal to the court.
<u>Length of the diagonal:</u>
The length of the diagonal can be determined using the Pythagorean theorem.
Thus, we have;
where d is the diagonal, l is the length and w is the width of the rectangle.
Substituting the values, we have;
Thus, the length of the diagonal of the court is 106.5 feet.
Answer:
(9, 6)
Step-by-step explanation:
<u>Midpoint formula is:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Having coordinates of one end- and midpoint </u>(-5, 12) <u>and</u> (2, 9)<u>:</u>
- x₁ = -5, y₁ = 12
- x = 2, y = 9
<u>we get the coordinates of the missing endpoint with coordinates</u> (x₂, y₂):
- x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9
- y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6
<u>So the missing point is</u>: (9, 6)
option B is the best it will only lead up to $1.92 while option A is a dollar more
