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svet-max [94.6K]
3 years ago
15

Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

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The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's spri
MrRa [10]

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

6 0
3 years ago
it takes 89 pounds of seed to completely plant a 12 acre field how many pounds of seed are needed per acre​
yanalaym [24]

Answer:

7.41 rounded answer

Step-by-step explanation:

3 0
3 years ago
Need help with mean , median , mode question<br> + a few more..
Andreas93 [3]

Answer:

Mean:

a) 4

b) 2

c) 2

d) 2

Median:

a) 4,2

b) 5,2

c) 5,1

d) 4,1

Mode:

a) 1

b) 1

c) 1

d) 1

Step-by-step explanation:

Mean:

a) 1+4+2+1 = 8/4=4

b)1+5+2+1 = 9/4= 2.25 (round to the nearest whole number = 2)

c) 1+5+1+0 = 7/4 = 1.75 (round to the nearest whole number = 2)

d) 1+4+1+0 = 6/4 = 1.5 (round to the nearest whole number = 2)

3 0
3 years ago
Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.
lesya [120]
Inches per hour and centimeters per day I believe 
6 0
3 years ago
Which is a graph for the inequality m &lt; -2 ?
aliya0001 [1]

Answer:

B

Step-by-step explanation:

This answer shows values of -2, and less than -2

6 0
3 years ago
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