What is the algebraic expression for this story problem?A tank is filling with water from a natural spring well. Two days ago the water was 10 feet deep, and yesterday the water was 12 feet deep. Assume that the water depth continues to rise at this same rate after today.

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Answer 1

Answer: 1. Give the algebraic expression of the given story:
=> A tank is filling a water from natural Spring.
=> 2 days ago water measured 10 feet deep
=> yesterday the water measured 12 feet deep
=> And the water rises the same amount each day. Algebraic expression is:
=> Since the filling of water in the tank is constant per day which means the water rises 2 feet per additional day.
=> let’s assign a variable for the number of days. Let’s have X
Now, let’s add the total of water depth 2 days ago until today.
=> 10(2 days ago) + 2(yesterday) + 2(today)
=> 14 feet
Then the algebraic expression would be:
=> 14 + 2x
where x is equals to the number of days that will pass.

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The steps below show the incomplete solution to find the value of y for the equation 4y − 2y − 4 = −1 + 13:Step 1: 4y − 2y − 4 = −1 + 13 Step 2: 4y − 2y − 4 = 12 Step 3: 2y − 4 = 12 Which of these is most likely the next step? 2y = 3 2y = 8 2y = 16 2y = 18
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Answer:

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Step-by-step explanation:

A worker is hired for $80 a day on the condition that if business is slow, the worker will only receive half pay. At the end of 20 days, the worker receives $1,320. On how many days was business slow?

Answers

7 slow days

You know the worker worked a total of 20 days, some at $80 per day, and some at $40 per day. After the 20 days, the worker was paid $1320.

x = days paid full time ($80)
y = days paid half time ($40)

you have two unknowns, so you'll need two equations to solve, from the problem statement, we can derive the following relationships:

($80)x + ($40)y = $1320
x + y = 20 days

x = 20 - y
80(20 - y) + 40y = 1320
1600 - 80y + 40y = 1320
1600 - 40y = 1320
1600 - 1320 = 40y
280 = 40y
y = 280/40 = 7

thus 7 days paid half time (i.e. slow days)

verify your solution is correct
y = 7
x = 20 - 7 = 13
80(13) + 40(7) = 1320 [OK]

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Answers

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Your answer would be 268.083 in.³

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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