Answer: 
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Explanation:
r = number of red pens
4r = cost of buying r red pens
example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens
If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.
John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.
In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)
We want $92 be the most he spends. This is the ceiling or highest value possible.
Therefore,
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Extra info:
If you want to solve for r, then
distribute
add r to both sides
subtract 92 from both sides
So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.
Answer:
x^3-y^3
Step-by-step explanation:
(x-y)(x^2+xy+y^2)
Multiply the terms,
x^3 + x^2y + xy^2- x^2y - xy^2 - y^3
Simplify the terms,
x^3 - y^3
This is also the formula for difference of two cubes.
Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
Answer:
part a in 3 months there are 108 rabbits
for 4 months put 328 rabbits
part b. for 1 month put 12 rabbits
for 3 months put 48 rabbits
Step-by-step explanation:
part a: so the pattern is multiply by 3 , the rabbits triple every month. so
4 times 3 = 12 which is the number of rabbits in 1 month so to find the third month multiply 12 by 3 which equals 36
then 36 by 3= 108 and so on.
part b: the pattern is multiply by 2. so the rabbits double each month. 6 times 2= 12 so 12 rabbits for 1 month the 12 times 2 = 24 rabbits for month 2 then 24 time 2= 48 rabbits for 3 months.
Answer:
60000
Step-by-step explanation:
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