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Alik [6]
3 years ago
9

Sylvie needs $110 for a concert ticket.

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

110 = 16 + 10h

110 - 16 = 10h

Step-by-step explanation:

Sylvie needs a <em>total</em> of $110, which is the number she is working towards.

She already has $16, which is what we call a constant, or a number that will not change in the equation.

We are told that if she works 10 hours, she will earn enough money to buy the concert ticket. The amount that she is paid per hour is the variable, which would be signified by the letter "h" in this case.

Set the equation:

(amount of hours) * (pay per hour) + (amount she starts out with) = (total she needs).

Or, to put into numerical & variable terms, plug in the corresponding number (or variable) to the corresponding part.

10 * h + 16 = 110

(10h) + 16 = 110

Another way to solve is to do the first step in isolating the variable, h. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

First, subtract 16 from both sides:

10h + 16 (-16) = 110 (-16)

10h = 110 - 16

10h = 94

Next, divide 10 from both sides:

(10h)/10 = (94)/10

h = 94/10

h = 9.4

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The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h
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Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
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Step-by-step explanation:

Refer to attached image

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