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kolbaska11 [484]
3 years ago
5

Solve the equation: Show work step by step -14=-5+3c

Mathematics
2 answers:
arsen [322]3 years ago
3 0
-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: -14 = 3c - 5
Second, add 5 to both sides. / Your problem should look like: -14 + 5 = 3c
Third, simplify -14 + 5 to -9. / Your problem should look like: -9 = 3c
Fourth, divide both sides by 3. / Your problem should look like: -\frac{9}{3} = c
Fifth, simplify the fraction to 3. / Your problem should look like: -3 = c
Sixth, switch your sides. / Your problem should look like: c = -3

Answer: c = -3

qaws [65]3 years ago
3 0

−14=−5+3c

−14=3c−5

Flip the equation.

3c−5=−14

Add 5 to both sides.

3c−5+5=−14+5

3c=−9

Divide both sides by 3.

3c/3=−9/3

c=−3

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To find the least number of packages of each item the team has to buy, it is necessary to find the Least Common Multiple of the two numbers (10 and 8), which is the lowest integer that is multiple of both 10 and 8, and therefore represents the least number of hot dogs and hot dog buns the team has to buy to get the same number of the two items. Now, to find the LCM follow this process:

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This means the Least Common Multiple is 40, and therefore the team should buy 40 of each item. Additionally, this means they need to buy 4 packages of hot dogs (each package contains 10 units) and 5 packages of hot dog buns (each package contains 8 units).

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