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Jacqueline has two part-time jobs. She earns $15 per hour, l

š‘™
, working as a lab assistant, and $12 per hour, s
š‘ 
, working as a cashier. This is modeled by 15l+12s
15
š‘™
+
12
š‘ 
. Evaluate for l=5
š‘™
=
5
and s=7
š‘ 
=
7
to find how much money Jacqueline will earn at her two jobs this week.(1 point)
just the answer

7 answers

Jacqueline will earn $123 this week.

Question
Simplify 5aāˆ’8c+b+3cāˆ’9a+6b
5
š‘Ž
āˆ’
8
š‘
+
š‘
+
3
š‘
āˆ’
9
š‘Ž
+
6
š‘
.(1 point)

The simplified expression is \(-4a + 7b - 5c\).

Simplify āˆ’34r + 3 āˆ’ 56r āˆ’ 6 āˆ’3/4š‘Ÿ + 3 āˆ’5/6r āˆ’ 6
.(1 point)

To simplify the expression \(-34r + 3 - 56r - 6 - \frac{3}{4}r + 3 - \frac{5}{6}r - 6\), we combine the like terms.

  1. Combine the \(r\) terms: \[ -34r - 56r - \frac{3}{4}r - \frac{5}{6}r \]

    To add these, we need a common denominator for the fractions. The common denominator for 4 and 6 is 12.

    \[ -34r - 56r - \frac{9}{12}r - \frac{10}{12}r \]

    First, combine the whole number terms: \[ -34r - 56r = -90r \]

    Now, add the fractions: \[ -90r - \left( \frac{9 + 10}{12} \right)r = -90r - \frac{19}{12}r \]

    Converting \(-90r\) to a fraction with a denominator of 12: \[ -90r = -\frac{1080}{12}r \]

    So now: \[ -\frac{1080}{12}r - \frac{19}{12}r = -\frac{1099}{12}r \]

  2. Now, combine the constant terms: \[ 3 - 6 + 3 - 6 = -6 \]

Putting it all together, the simplified expression is: \[ -\frac{1099}{12}r - 6 \]

Simplify āˆ’3/4š‘Ÿ + 3 āˆ’5/6r āˆ’ 6
.(1 point)

To simplify the expression \(-\frac{3}{4}r + 3 - \frac{5}{6}r - 6\), we will combine like terms.

  1. Combine the constant terms: \[ 3 - 6 = -3 \]

  2. Combine the \(r\) terms: \[ -\frac{3}{4}r - \frac{5}{6}r \] To add these two fractions, we need a common denominator. The least common multiple of 4 and 6 is 12.

    • Convert \(-\frac{3}{4}r\) to a fraction with a denominator of 12: \[ -\frac{3}{4}r = -\frac{9}{12}r \]

    • Convert \(-\frac{5}{6}r\) to a fraction with a denominator of 12: \[ -\frac{5}{6}r = -\frac{10}{12}r \]

    Now combine: \[ -\frac{9}{12}r - \frac{10}{12}r = -\frac{19}{12}r \]

  3. Putting it all together: The simplified expression is: \[ -\frac{19}{12}r - 3 \]