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Strike441 [17]
4 years ago
10

-5x - 4=46 two step equations

Mathematics
2 answers:
Free_Kalibri [48]4 years ago
8 0

For this case we must solve the following equation:

-5x - 4 = 46

To do this, we must clear the value of "x":

We add 4 to both sides of the equation:

-5x - 4 + 4 = 46 + 4\\-5x = 50

We divide between -5 on both sides of the equation:

\frac {-5x} {- 5} = \frac {50} {- 5}\\x = -10

Answer:

x = -10


Anastaziya [24]4 years ago
6 0
-5x-4=46
-5x=46+4
-5x=50
÷both sides by -5x.
so your answer is going to be -10. and is so because u are diving with a negative number
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4 years ago
You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.
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A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

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Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

4x+3y=41.

A. Find all integer solutions:

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  • When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.
  • When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.
  • When x=5, then 3y=21, y=7 - possible.
  • When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.
  • When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.
  • When x=8, then 3y=9, y=3 - possible.
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B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

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2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

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2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.

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