Harun and Breelyn have $30 to spend on a bag of candy at the CANDY SPOT. Each bag costs $3. Given that H and B represent the number of bags that Harun (H) and Breelyn (B) bought, which expression can be used to represent the amount of money they had leftover?(1 point)

Question

Responses

30−3H−3B
30 minus 3 cap h minus 3 cap b

30−3H+3B
30 minus 3 cap h plus 3 cap b

30+3H−3S
30 plus 3 cap h minus 3 cap s

3H + 3B − 30

Answer 1

The total amount of money they started with is $30, and each bag of candy costs $3. If Harun buys \(H\) bags and Breelyn buys \(B\) bags, the total cost for the candy they bought is \(3H + 3B\).

To find the amount of money they had left over after the purchases, we would subtract the total cost from their initial amount of $30. Therefore, the expression representing the amount of money they had leftover is:

\[ 30 - (3H + 3B) \]

This can be simplified to:

\[ 30 - 3H - 3B \]

So the correct response is:

30−3H−3B.

Answer 2

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Question
Elliot is building a sandbox in the shape of a triangle. A model of the sandbox is shown. Which expression represents the perimeter of Elliot's sandbox?

(1 point)
Responses

x+11
x plus 11

3x+10
3 x plus 10

3x−2
3 x minus 2

x+10
x plus 10
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Answer 3

To find the perimeter of a triangle, you need to sum the lengths of all its sides.

If we assume that the sides of Elliot's sandbox are expressed in terms of \(x\) (with \(x\) representing one of the sides, and the other sides represented in relation to \(x\)), we can analyze the given options.

However, without specific information on how the sides of the triangle are related to \(x\), it is a bit challenging to derive the exact expression for the perimeter. But typically, the perimeter would be calculated as:

\[ \text{Perimeter} = \text{Side 1} + \text{Side 2} + \text{Side 3} \]

If you have the specific lengths of the sides in terms of \(x\), you can correctly combine them to find the perimeter.

Given your options:

1. \(x + 11\)
2. \(3x + 10\)
3. \(3x - 2\)
4. \(x + 10\)

Without additional information about the side lengths, we cannot definitively determine which of these options is correct. But if you have the explicit relationships or values for each side, that would help clarify which expression represents the perimeter of the triangle.

If you can provide more context or details about the side lengths, I can assist you further!

Answer 4

Sierra and Charlie are paid $12 per hour. However, this week Charlie received a $40 bonus. Given that S and C represent the number of hours worked by Sierra (S) and Charlie (C), which expression can be used to represent their combined earnings for this week?(1 point)
Responses

12+40+SC
12 plus 40 plus cap s cap c

12+40+S+C
12 plus 40 plus cap s plus cap c

12S+12C+40
12 cap s plus 12 cap c plus 40

12SC+40

Answer 5

To find the combined earnings for Sierra and Charlie for the week, we need to consider both of their hourly wages and Charlie's bonus.

1. Sierra is paid $12 per hour. If she works \(S\) hours, her earnings would be \(12S\).
2. Charlie is also paid $12 per hour. If he works \(C\) hours, his earnings would be \(12C\).
3. Charlie received a $40 bonus, which needs to be added to his earnings.

Now, we can combine these earnings into one expression:

\[ \text{Combined Earnings} = \text{Sierra's Earnings} + \text{Charlie's Earnings} + \text{Charlie's Bonus} \]

Substituting the expressions:

\[ \text{Combined Earnings} = 12S + 12C + 40 \]

Thus, the correct expression that represents their combined earnings for this week is:

12S + 12C + 40.