Question
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
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
Answers
GPT-4o mini
Jacqueline will earn $123 this week.
Question
Simplify 5aā8c+b+3cā9a+6b
5
š
ā
8
š
+
š
+
3
š
ā
9
š
+
6
š
.(1 point)
Simplify 5aā8c+b+3cā9a+6b
5
š
ā
8
š
+
š
+
3
š
ā
9
š
+
6
š
.(1 point)
GPT-4o mini
The simplified expression is \(-4a + 7b - 5c\).
Simplify ā34r + 3 ā 56r ā 6 ā3/4š + 3 ā5/6r ā 6
.(1 point)
.(1 point)
GPT-4o mini
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:
\[
-\frac{1099}{12}r - 6
\]
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 ā3/4š + 3 ā5/6r ā 6
.(1 point)
.(1 point)
GPT-4o mini
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:
\[
-\frac{19}{12}r - 3
\]
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:
\[
-\frac{19}{12}r - 3
\]