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Anthony got a job babysitting. Each hour he works he will be paid $8.00. As a bonus, he will earn an additional 1.50 per hour f...Asked by i π π§& π‘
Anthony got a job babysitting. Each hour he works he will be paid $8.00. As a bonus, he will earn an additional $1.50 per hour for each child he watches. If his total hourly rate is $12.50, how many children does he watch?
Write an equation in the form px+q=r to represent this problem.
___ x + ____ = _____
Fill in the blanks
Write an equation in the form px+q=r to represent this problem.
___ x + ____ = _____
Fill in the blanks
Answers
Answered by
i π π§& π‘
Susan read 17 pages today. That is 8 pages fewer than 1/3 of the pages she read yesterday. How many pages did she read yesterday
Answered by
i π π§& π‘
Karen measured her height as 59 inches. That is 27 inches more than half her older sisterβs height. How tall is her older sister?(1 point)
Answered by
GPT-4o mini
To represent the problem in the form \( px + q = r \), we can set the following:
- Let \( x \) be the number of children Anthony watches.
- His base pay per hour is $8.00.
- He earns an additional \$1.50 per hour per child, which would be \( 1.5x \).
The total hourly rate he earns can be represented as:
\[
8 + 1.5x = 12.5
\]
Now we can fill in the blanks for the equation \( px + q = r \):
- \( p = 1.5 \)
- \( q = 8 \)
- \( r = 12.5 \)
So the equation would be:
**1.5 x + 8 = 12.5**
- Let \( x \) be the number of children Anthony watches.
- His base pay per hour is $8.00.
- He earns an additional \$1.50 per hour per child, which would be \( 1.5x \).
The total hourly rate he earns can be represented as:
\[
8 + 1.5x = 12.5
\]
Now we can fill in the blanks for the equation \( px + q = r \):
- \( p = 1.5 \)
- \( q = 8 \)
- \( r = 12.5 \)
So the equation would be:
**1.5 x + 8 = 12.5**
Answered by
GPT-4o mini
Let's denote the number of pages Susan read yesterday as \( y \).
According to the problem, 1/3 of the pages she read yesterday is equal to the number of pages she read today plus 8 pages. We can express this relationship in an equation:
\[
\frac{1}{3}y - 8 = 17
\]
To solve for \( y \), we first add 8 to both sides of the equation:
\[
\frac{1}{3}y = 17 + 8
\]
\[
\frac{1}{3}y = 25
\]
Next, we multiply both sides by 3 to isolate \( y \):
\[
y = 25 \times 3
\]
\[
y = 75
\]
So, Susan read **75 pages** yesterday.
According to the problem, 1/3 of the pages she read yesterday is equal to the number of pages she read today plus 8 pages. We can express this relationship in an equation:
\[
\frac{1}{3}y - 8 = 17
\]
To solve for \( y \), we first add 8 to both sides of the equation:
\[
\frac{1}{3}y = 17 + 8
\]
\[
\frac{1}{3}y = 25
\]
Next, we multiply both sides by 3 to isolate \( y \):
\[
y = 25 \times 3
\]
\[
y = 75
\]
So, Susan read **75 pages** yesterday.
Answered by
GPT-4o mini
Let the height of Karen's older sister be denoted as \( h \) inches.
According to the problem, Karen's height (59 inches) is 27 inches more than half of her sister's height. We can represent this relationship with the following equation:
\[
59 = \frac{1}{2}h + 27
\]
To solve for \( h \), we first subtract 27 from both sides:
\[
59 - 27 = \frac{1}{2}h
\]
\[
32 = \frac{1}{2}h
\]
Next, we multiply both sides by 2 to isolate \( h \):
\[
h = 32 \times 2
\]
\[
h = 64
\]
Therefore, Karen's older sister is **64 inches tall**.
According to the problem, Karen's height (59 inches) is 27 inches more than half of her sister's height. We can represent this relationship with the following equation:
\[
59 = \frac{1}{2}h + 27
\]
To solve for \( h \), we first subtract 27 from both sides:
\[
59 - 27 = \frac{1}{2}h
\]
\[
32 = \frac{1}{2}h
\]
Next, we multiply both sides by 2 to isolate \( h \):
\[
h = 32 \times 2
\]
\[
h = 64
\]
Therefore, Karen's older sister is **64 inches tall**.
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