Answer:
the handle will end up on the left side
Step-by-step explanation:
The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).
The result is that the handle will end up on the left side. The cup will still be right side up.
Answer:
x = 30
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
8x - 3(2x - 4) = 3(x - 6)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 8x - 6x + 12 = 3x - 18
- Combine like terms: 2x + 12 = 3x - 18
- Subtract 2x on both sides: 12 = x - 18
- Add 18 to both sides: 30 = x
- Rewrite: x = 30
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
- Multiply: 240 - 3(60 - 4) = 3(30 - 6)
- Subtract: 240 - 3(56) = 3(24)
- Multiply: 240 - 168 = 72
- Subtract: 72 = 72
21.5/24=0.895...0.895...x6=53.7553.75/100=0.5375
the answer is 54 minutes
Answer: d
Step-by-step explanation: it is d
Use 2 points on the line to find the slope.
Slope = change in y / change in x
The two points used: (-2,5) and ( 1,-10)
slope = (-10 -5) /(1- -2) = -15/3 = -5
the y intercept is where the line is at in the y direction when it crosses the x axis at 0.
the y intercept is -5
The equation is y = -5x -5