The slope is 2.
Since the line "y = 2x − 8" follows slope-intercept form (y = mx + b), and the slope is always m, we know that the value of the slope is 2.
The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups
<h3>How to calculate fraction</h3>
- Total cups of milk to share = 2 1/4 cups
Total = Laura + Maria
2 1/4 = x + 2/3
2 1/4 - 2/3 = x
9/4 - 2/3 = x
(27-8) / 12 = x
19/12 = x
= 1 7/12
Therefore, the cups of milk Laura gave to Maria is 19/12 cups
Learn more about fraction:
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Answer:
12km/h
Step-by-step explana:
Let's call the total distance 2a from which we can calculate t1 equivalent to the first half of the distance a/10 similar to t2 is a/15 from which the total time is a/6 . We have the average speed equal to the total distance dduowcngf divided by the total inferred time by 2a/(a/6) which equals 12km/h
Answer:
The first mechanic $90/hour and the second charged $70/hour
Step-by-step explanation:
Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:
5x+10y = 1150
We also know that together they charged 160/per hour. An equation to express this would be:
x+y = 160
Now we can solve the second equation for x or the first mechanics rate.
x+y = 160
x = 160 - y
Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.
5x+10y=1150 plug in x =160-y
5(160-y)+10y=1150 Distribute
800 -5y+10y = 1150 Combine like terms
800 +5y = 1150 Subtract 800 from both sides
5y = 350 divide by 5
y = 70
So we know that the second mechanic charged $70/hour. We also know that(from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.
x = 160-y
x = 160-70
x = 90
So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.
Answer:
y=1/3x-2
Step-by-step explanation:
Since the slope intercept form formula is y=mx+b all we need to do is input the values. So m is the slope. Input 1/3. X is next to it because we solve for this. B is the y intercept. Meaning its the point that crosses the line on the graph that is vertical. And you already have -2. Since we know: (x,y) so choose the y. And you have your equation.
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