Answer:
I think that it should be

Step-by-step explanation:
Here,
we take , a - b = A,b-c = B , c - a= C
A+B+C = 0
we know that,

Here , A+B+C = 0
so,
A^3 +B^3 + C^3 = 3 ABC
now we put the values

I am done .
Answer:
r = 46
Step-by-step explanation:
To solve the equation, solve for r by isolating the variable. Whatever you do to one side, do to the other.
1) First, simplify the right side by combining like terms. Subtract the coefficients of the terms with the same variables. Subtract 5r by 4r.
2) Now, finally isolate r by subtracting both sides by 14.

So, r = 46.
Answer:
7.5 hours
Way Number One:
<em>This way uses critical thinking</em>
These two trucks are traveling in opposite directions (West and East). One truck moves 49 miles every hour, and the other moves 63 miles per hour. Since they are traveling in opposite directions, we do not have to worry about angles or use a distance formula.
Every hour one truck moves 49 and the other 63. So, if we add 49 to 63 we will get their distance apart after one hour.
-> 49 + 63 = 112 miles
Now, we want to know how long it will take for them to be 840 miles apart. We can divide 840 by 112 to see how many hours it will take, because every hour the trucks become 112 miles farther apart.
-> 840 / 112 = 7.5 hours
Way Number Two:
<em>This way uses a graphing calculator</em>
We can turn the distance traveled by each truck into equations. Let y be miles traveled and x be time spent.
First truck, y = 49x
Second truck, y = 63x
We know their distance apart will be the miles traveld added together, so y = 63x + 49x. Our answer will be x when y is equal to 840. After graphing, we get the point of (840, 7.5)
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
Marco earned $2.25.
Step-by-step explanation:
1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4
2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents. Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )
3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.
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Answer: they’re both in the 4:3 ratio
Step-by-step explanation:
4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30, etc