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3 years ago

5

Jakob is buying juice boxes for the after school program. On Monday, he purchases 4 apple juices and 1 berry juice for a total o

f $13.25. On Wednesday, he purchases 8 apple juices and 5 berry juices for a total of $36.25. How much does an apple juice cost?

1 answer:

Juli2301 [7.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Soloha48 [4]

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3 years ago

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-Dominant- [34]

Answer:

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Step-by-step explanation:

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18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca

Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

$Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}$

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$2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)$

When there are 6r-27 mice, there are r-5 cats.

$6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)$

Taking the values of k above, we have:

$k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7$

Therefore:

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3 years ago

If the building is a regular pentagon with each side measuring 23 √149, what’s the perimeter?

kvasek [131]

Answer:

Step-by-step explanation:

Regular pentagon has 5 equal sides

Perimeter = 5* (23√149)

= 115√149

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3 years ago