1: Connor drives an an eighteen-wheeler. It cost Conner $456 to fill the truck up with diesel fuel. If diesel fuel cost $3 a gallon, how many gallons of fuel were bought?
a: 148
b: 152
c:156
d:164
2: The temperature started at 35°F. If the temperature went down 4°F and then up 2°F, whats is the temperature difference relative to the high temperature?
A) -2°F
B) -1°F
C) 1°F
D) 2°F
3: Samir incorrectly found the distance between -17 and 4 by following these steps:
Step 1: |4 – (-17)|
Step 2: |4 + 17|
Step 3: |21|
Step 4: The distance between -17 and 4 is -21.
In which step did Samir make a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4
4: Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates (-x, -y) located?
A) Quadrant I
B) Quadrant II
C) Quadrant IV
D) Quadrant III
pls help lololol
I'll be glad to check your answers.
i got b, a, d, and b
1 - 3 are correct.
I don't know number 4.
1: To solve this problem, we need to find the number of gallons of fuel bought. We are given that it cost Connor $456 to fill the truck up with diesel fuel and that diesel fuel costs $3 a gallon.
To find the number of gallons, we divide the total cost by the cost per gallon:
Number of gallons = Total cost / Cost per gallon
Number of gallons = $456 / $3
Number of gallons = 152
Therefore, Connor bought 152 gallons of fuel.
So, the correct answer is b: 152 gallons.
2: To find the temperature difference relative to the high temperature, we need to determine the change in temperature from the starting temperature.
The temperature started at 35°F, decreased by 4°F, and then increased by 2°F.
Change in temperature = Decrease + Increase
Change in temperature = -4°F + 2°F
Change in temperature = -2°F
The negative sign indicates a decrease in temperature.
Therefore, the temperature difference relative to the high temperature is -2°F.
So, the correct answer is A) -2°F.
3: To find the distance between two numbers, we take the absolute value of their difference.
In Samir's steps, he correctly found the absolute value in Step 1 by subtracting -17 from 4. However, in Step 2, he improperly added the two numbers instead of subtracting them.
Step 2 should be: |4 - (-17)|
Step 2: |4 + 17|
Step 2: |21|
So, Samir made a mistake in Step 2.
Therefore, the correct answer is B) Step 2.
4: In a coordinate plane, Quadrant I is the top-right quadrant, Quadrant II is the top-left, Quadrant III is the bottom-left, and Quadrant IV is the bottom-right.
We are given that point A is located in Quadrant I at (x, y).
To find the quadrant in which point B is located - with coordinates (-x, -y), we need to consider that the signs of the coordinates are opposite to those of point A.
If point A is in Quadrant I, then (-x, -y) will be in Quadrant III.
Therefore, the correct answer is D) Quadrant III.
I hope this helps! Let me know if you have any more questions.