Question

topic 9 block 3 homework
name
3 celine wants to purchase a vacation package for her and her mother. the total cost is $2400 for a 4 - night stay at a beach resort. celine works 5 days a week for 4 hours a day and earns $12 per hour. which equations can she use to determine the number of weeks it will take her to earn $2400? use n for the number of weeks. select all that apply.
(12)(4)(5)(n)=2400
240n = 2400
\frac{2400}{240}=n
4·240 = n
2400 - 240n = 4
4 celine wants to determine how many weeks it will take her to earn $2400. fill in the missing numbers in her process. she is using n to represent the number of weeks.
first step: 12·4·5n = 2400
second step: 48·5n = 2400
third step: 240n = 2400
fourth step: \frac{240n}{\square}=\frac{2400}{\square}
fifth step: n = \frac{2400}{\square}
last step: n = \square
celine will earn $2400 in \square weeks.
5 a student is describing what they learned in this topic. this is one of their journal entries. fill in the blanks to complete the sentences.
add equal inverse same subtract 5 8 2
first, i learned that an equation is like a balance scale. one side of the equal sign has to be \underline{\quad\quad} to the other side. if we add or subtract a number on one side of the equation, then we have to add or subtract the \underline{\quad\quad} number on the other side of the equation. if we divide or multiply on one side of the equal sign, we also need to divide or multiply by the same number on the other side. i learned that \underline{\quad\quad} operations help us \undo\ whatever operation is already there. so, if i have x - 3 = 5 i will \underline{\quad\quad} 3 to both sides of the equation. this will give me my final answer of \underline{\quad\quad}

Explanation:

Question 3

Step1: Calculate weekly earnings

Earnings per week: $12 \times 4 \times 5 = 240$, so total earnings over $n$ weeks is $240n$.

Step2: Match to total cost

Set total earnings equal to $2400$: $240n=2400$. Rearranged: $\frac{2400}{240}=n$. Also, expand $240n$: $(12)(4)(5)(n)=2400$.

Step1: Apply equality property

Divide both sides by 240: $\frac{240n}{240}=\frac{2400}{240}$

Step2: Simplify for n

$n=\frac{2400}{240}$

Step3: Compute final value

$n=10$

1. Equations require both sides to be balanced, so they must be equal.
2. To maintain balance, operations use the same number on both sides.
3. Inverse operations reverse existing operations to solve equations.
4. For $x-3=5$, add 3 to both sides to isolate $x$, giving $x=8$.

Answer:

$\boldsymbol{(12)(4)(5)(n)=2400}$, $\boldsymbol{240n=2400}$, $\boldsymbol{\frac{2400}{240}=n}$

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Question 4