Answer:
Step-by-step explanation:
I don't know what a tape diagram is but I can give you the equation and the answer.
Let Victor have x points
Let Maria have y points
y = x + 424
y/x = 5/3 Cross multiply
3y = 5x Divide by 3
y = 5x/3 I Could have just multiplied by x
y = x + 424
5x/3 = x + 424 Multiply both sides by 3
5x = 3x + 1272 Subtract 3x from both sides.
5x-3x = 1272 Combine the left.
2x = 1272 Divide by 2
2x/2 = 1272/2
x = 636
Victor Scored 636 points
Maria Scored 636 + 424 = 1060
Answer: 278.30 pounds (if the gasoline does not contain ethanol)
317.12 pounds (if the gasoline does contain ethanol)
Step-by-step explanation:
If the truck averages 12 miles per gallon, then in 170 miles it consumes:
170mi/12mi = 14.17 gallons.
We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)
Then for 14.17 gallons consumed, we have a emission of:
14.17*19.64 pounds = 278.30 pounds
I the gasoline contains ethanlol, for a gallon the emiision is around 22.38 pounds.
In this case the total emission is:
14.17*22.38 pounds = 317.12 pounds
Answer:
C
Step-by-step explanation:
You can rearrange the equation to make it: 4y=3x-2
The slope right now is 3,but that's not the answer
So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5
So from that you can see that the slope is 3/4, C
Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
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2) The acute angle between the terminal ray and the x-axis is the "reference angle."
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3) Multiply radians by 180°/π to convert to degrees.
a) π/2 × 180°/π = 180°/2 = 90°
b) 7π/12 × 180°/π = (7/12)(180°) = 105°
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4) To convert from degrees to radians, multiply by π/180°.
a) 360° × π/180° = 2π radians
b) 315° × π/180° = 7π/4 radians
