Answer:
The numerical limits for a B-grade is between 81 and 92
Step-by-step explanation:
Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade
Please check attachment for complete solution and explanation
Answer:
8. The coordinates (0,0) represent the fact that when 0 minutes has passed, the horses have gone 0 miles because they hadn't started yet.
9. From the graph, it looks like horse A takes 4 minutes and horse B takes 2.5 minutes (aka 2 minutes and 30 seconds) to travel 1 mile.
10. For A: y = (1/4)x
For B: y = (2/5)x
11. For A: 3 miles
For B: (24/5) miles, or 4 and (4/5) miles.
12. Can't see the entire problem sorry.
Step-by-step explanation:
9. You find this by going to y=1 and look towards the right till you find the point the line intersects with y=1. Then find the x value by finding the corresponding number on the x axis.
10. A linear function will look something like this: y = mx+b, where y is the y value, x is the x value, m is the slope, and b is the y-intercept. Since both lines start from 0, you don't have to write the y-intercept since there's no point in writing +0. To find slope, you find delta y over delta x. Basically just find the difference of two y values and the difference of two x values from the same coordinate in the same order. I know that sounds really confusing but your teacher will probably teach this later on.
11. x represents the time, so just substitute x as 12 in the equation.
First one is 512,160 and the second is 84,100
Answer:
x = -7/3y + 8/3
y = -3/7x + 8/7
Step-by-step explanation:
First, set the equations next to each other to find x and y, I'll start with x:
x + 3y + 2x + 4y = 8
Combine like terms
3x + 7y = 8
Subtract both sides by 7y
3x + 7y - 7y = 8 - 7y
3x = 8 - 7y
I'll re-order the equation to make it easier to divide
3x = -7y + 8
Divide both sides by 3
3x / 3 = -7y + 8 /3
x = -7/3y + 8/3
If you need decimals just divide with a calculator
Now to find y:
We already combined like terms so we don't need to do that again...
3x + 7y = 8
Subtract both sides by 3x
3x - 3x + 7y = 8 - 3x
7y = 8 - 3x
I'll reorder the equation once again so the variable comes first
7y = -3x + 8
Divide both sides by 7
7y / 7 = -3x + 8 / 7
y = -3/7x + 8/7
Again, use a calculator to divide completely for decimals.
This is pretty simple. Since there are 19.8 gallons and every gallon is 3.65$, you multiply 19.8 by 3.65 to get $72.27. It will cost 72.27$ to fill up the tank.
