John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.
Let: b=cost of banana per pound and c=cost of cherries per pound
Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.
3c + 2b =$24.95
Equation 2: The cost of bananas is $6.50 less than a pound of cherries.
b= c - $6.50
We can substitute the second equation into the first one to solve for the cost of cherries per pound.
3c + (2)(c-$6.50)= $24.95
3c + 2c -$13.00 = $24.95
5c = $24.95 + $13.00
c = $7.59
Substituting the value of c to the second equation to solve for b.
b= $7.59 - $6.50 = $1.09
The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.
For more information regarding the system of equations, please refer to brainly.com/question/25976025.
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Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
How much paint can that can hold
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