Consider the following list of items from KMF's Doughnuts.

Question

glazed donuts 0.96
cinnamon roll 2.69
donuts holes 1.75
Thomas ordered 2 orders of doughnut holes, a cinnamon roll, and 3 doughnuts. The sales tax was $0.72.

(1 point)
Thomas owed $
.

He paid with a $20 bill. Thomas should receive $
in change.

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Answer 1

Let's calculate the total cost of Thomas's order and then determine how much change he should receive.

1. Calculate the cost of the items:

   • Doughnut holes: 2 orders at $1.75 each: \[ 2 \times 1.75 = 3.50 \]

   • Cinnamon roll: 1 at $2.69: \[ 2.69 \]

   • Glazed donuts: 3 at $0.96 each: \[ 3 \times 0.96 = 2.88 \]

2. Calculate the subtotal: \[ \text{Subtotal} = \text{cost of doughnut holes} + \text{cost of cinnamon roll} + \text{cost of glazed donuts} \] \[ \text{Subtotal} = 3.50 + 2.69 + 2.88 = 9.07 \]

3. Add sales tax:

   • Sales tax is given as $0.72. \[ \text{Total cost} = \text{Subtotal} + \text{Sales tax} \] \[ \text{Total cost} = 9.07 + 0.72 = 9.79 \]

4. Calculate change:

   • Thomas paid with a $20 bill: \[ \text{Change} = \text{Amount paid} - \text{Total cost} \] \[ \text{Change} = 20.00 - 9.79 = 10.21 \]

Final Answers:

• Thomas owed $9.79.
• He should receive $10.21 in change.

Answer 2

Candice and 4 friends went to a carnival. The entrance ticket cost $12. They bought 2 orders of fried Oreos at $4.50 each and then each person bought their own beverage at $4.75 each.(1 point)
For each amount, remember to include the dollars and cents. For example, if the amount is 5 dollars, you will enter 5.00.

How much money was spent on the entrance tickets? $


What was the total amount spent on the fried Oreos? $

What was the total amount spent on the beverages? $

How much money did they spend in all? $

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Answer 3

Let's break down the expenses step by step.

1. Entrance Tickets:

   • There are 5 people (Candice and 4 friends), and each ticket costs $12. \[ \text{Total for entrance tickets} = 5 \times 12 = 60.00 \]

2. Fried Oreos:

   • They bought 2 orders of fried Oreos at $4.50 each. \[ \text{Total for fried Oreos} = 2 \times 4.50 = 9.00 \]

3. Beverages:

   • Each person bought their own beverage at $4.75. Since there are 5 people: \[ \text{Total for beverages} = 5 \times 4.75 = 23.75 \]

4. Total Amount Spent in All:

   • Now, add the total expenses together. \[ \text{Total amount spent} = \text{Entrance tickets} + \text{Fried Oreos} + \text{Beverages} \] \[ \text{Total amount spent} = 60.00 + 9.00 + 23.75 = 92.75 \]

Final Answers:

• How much money was spent on the entrance tickets? $60.00
• What was the total amount spent on the fried Oreos? $9.00
• What was the total amount spent on the beverages? $23.75
• How much money did they spend in all? $92.75

Answer 4

Evan ate three-eighths of a hoagie for dinner. On the next day, he ate two-thirds of what was left for lunch. How much of the entire hoagie did Evan eat for lunch? Which process will you use to solve this problem?(1 point)
Responses

38÷23=916
3 eighths divided by 2 thirds is equal to 9 over 16

38+23=2524=1124
3 eighths plus 2 thirds is equal to 25 over 24 is equal to 1 and 1 over 24

38×23=6÷624÷6=14
3 eighths times 2 thirds is equal to the fraction with numerator 6 divided by 6 and denominator 24 divided by 6 is equal to 1 fourth

58×23=10÷224÷2=512
5 eighths times 2 thirds is equal to the fraction with numerator 10 divided by 2 and denominator 24 divided by 2 is equal to 5 over 12

58÷23=1516

Answer 5

To solve the problem of how much of the entire hoagie Evan ate for lunch, we need to follow these steps:

1. Determine how much of the hoagie is left after Evan has eaten three-eighths (3/8) of it.

   • Since he ate 3/8 of the hoagie, the portion left is: \[ 1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8} \]

2. Calculate how much of the remaining hoagie he ate for lunch.

   • He ate two-thirds (2/3) of the remaining hoagie (5/8): \[ \text{Amount eaten for lunch} = \frac{2}{3} \times \frac{5}{8} \]

3. Multiply the fractions: \[ \frac{2}{3} \times \frac{5}{8} = \frac{2 \times 5}{3 \times 8} = \frac{10}{24} \]

   • Simplifying \(\frac{10}{24}\): \[ \frac{10 \div 2}{24 \div 2} = \frac{5}{12} \]

Summary of Process:

Evan ate five twelfths (5/12) of the entire hoagie for lunch.

Which process to use:

The appropriate process to solve this specific problem is multiplication of fractions. Therefore, the correct option is:

• 58 × 23 = 10 ÷ 2 24 ÷ 2 = 5/12.

Answer 6

Determine the sum of the 2 points on the number line.

-1.2 1.5

(1 point)
Responses

-0.3
-0.3

0.3
0.3

-2.7
-2.7

2.7
2.7
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Answer 7

To find the sum of the two points on the number line \(-1.2\) and \(1.5\), simply add them together:

\[ -1.2 + 1.5 \]

Carrying out the addition:

\[ -1.2 + 1.5 = 0.3 \]

Thus, the sum of the two points is 0.3.

Final Answer:

0.3

Answer 8

Select all expressions that are equivalent to this algebraic expression.

(2x−1)−3.25(x+3)
(1 point)
Responses

2x−1−3.25x−9.75
2 x minus 1 minus 3 point 2 5 x minus 9 point 7 5

2x−3.25x−1−9.75
2 x minus 3 point 2 5 x minus 1 minus 9 point 7 5

−1.25x−1−9.75
negative 1 point 2 5 x minus 1 minus 9 point 7 5

−1.25x−10.75
negative 1 point 2 5 x minus 10 point 7 5

2x−1−3.25x+9.75
2 x minus 1 minus 3 point 2 5 x plus 9 point 7 5

1.25x+10.75
1 point 2 5 x plus 10 point 7 5

−1.25x−4
negative 1 point 2 5 x minus 4
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Answer 9

To determine which expressions are equivalent to the given algebraic expression \((2x - 1) - 3.25(x + 3)\), we need to simplify it first.

Step 1: Expand the Expression

Start with the expression: \[ (2x - 1) - 3.25(x + 3) \]

Distributing \(-3.25\) to \(x + 3\): \[ = (2x - 1) - 3.25x - 9.75 \]

Step 2: Combine Like Terms

Now combine the like terms: \[ = 2x - 3.25x - 1 - 9.75 \] \[ = -1.25x - 1 - 9.75 \] \[ = -1.25x - 10.75 \]

Equivalent Expressions

Now that we have simplified the expression to \(-1.25x - 10.75\), we can identify which of the provided options are equivalent to this expression.

1. \(2x - 1 - 3.25x - 9.75\)

   • This simplifies to \(-1.25x - 10.75\) (Equivalent).

2. \(2x - 3.25x - 1 - 9.75\)

   • This simplifies to \(-1.25x - 10.75\) (Equivalent).

3. \(-1.25x - 1 - 9.75\)

   • This simplifies to \(-1.25x - 10.75\) (Equivalent).

4. \(-1.25x - 10.75\)

   • This is exactly the simplified expression (Equivalent).

5. \(2x - 1 - 3.25x + 9.75\)

   • This would simplify to \(2x - 3.25x + 8.75\) which does not equal \(-1.25x - 10.75\) (Not Equivalent).

6. \(1.25x + 10.75\)

   • This expression is not equivalent since it has the opposite signs for both \(x\) and the constant (Not Equivalent).

7. \(-1.25x - 4\)

   • This is also not equivalent since it does not match the constant term (Not Equivalent).

Final Selection of Equivalent Expressions:

The equivalent expressions to \((2x - 1) - 3.25(x + 3)\) are:

• \(2x - 1 - 3.25x - 9.75\)
• \(2x - 3.25x - 1 - 9.75\)
• \(-1.25x - 1 - 9.75\)
• \(-1.25x - 10.75\)

Answer 10

Select all of the expressions that are equivalent to this algebraic expression.

(3x−8)+(2x+5)−(4x−8)
(1 point)
Responses

3x−8+2x+5−4x−8
3 x minus 8 plus 2 x plus 5 minus 4 x minus 8

3x−8+2x+5−4x+8
3 x minus 8 plus 2 x plus 5 minus 4 x plus 8

3x+2x−4x−8+5+8
3 x plus 2 x minus 4 x minus 8 plus 5 plus 8

5x−4x−8+5+8
5 x minus 4 x minus 8 plus 5 plus 8

x−8+5+8
x minus 8 plus 5 plus 8

x−13+8
x minus 13 plus 8

x−3+8
x minus 3 plus 8

x−21
x minus 21

x+5
x plus 5
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Answer 11

To find all expressions that are equivalent to \((3x - 8) + (2x + 5) - (4x - 8)\), we will first simplify the original expression step by step.

Step 1: Simplify the Expression

Starting with the original expression: \[ (3x - 8) + (2x + 5) - (4x - 8) \]

Distributing the negative sign on the last term: \[ = 3x - 8 + 2x + 5 - 4x + 8 \]

Step 2: Combine Like Terms

Now we combine the \(x\) terms and the constant terms:

• Combine the \(x\) terms: \[ 3x + 2x - 4x = (3 + 2 - 4)x = 1x = x \]
• Combine the constant terms: \[ -8 + 5 + 8 = -8 + (5 + 8) = -8 + 13 = 5 \]

So, the simplified expression is: \[ x + 5 \]

Comparing with the Given Options

Now, let’s check which of the provided responses are equivalent to \(x + 5\):

1. \(3x - 8 + 2x + 5 - 4x - 8\)

   • Simplifies to \(x + 5\) (Equivalent).

2. \(3x - 8 + 2x + 5 - 4x + 8\)

   • Simplifies to \(3x + 2x - 4x - 8 + 5 + 8\) which is \(x + 5\) (Equivalent).

3. \(3x + 2x - 4x - 8 + 5 + 8\)

   • Again simplifies to \(x + 5\) (Equivalent).

4. \(5x - 4x - 8 + 5 + 8\)

   • This simplifies to \(x + 5\) (Equivalent).

5. \(x - 8 + 5 + 8\)

   • This also simplifies to \(x + 5\) (Equivalent).

6. \(x - 13 + 8\)

   • This simplifies to \(x - 5\) (Not Equivalent).

7. \(x - 3 + 8\)

   • This simplifies to \(x + 5\) (Equivalent).

8. \(x - 21\)

   • This simplifies to \(x - 21\) (Not Equivalent).

9. \(x + 5\)

   • This is the exact simplified expression (Equivalent).

Final Selection of Equivalent Expressions:

The equivalent expressions to \((3x - 8) + (2x + 5) - (4x - 8)\) are:

• \(3x - 8 + 2x + 5 - 4x - 8\)
• \(3x - 8 + 2x + 5 - 4x + 8\)
• \(3x + 2x - 4x - 8 + 5 + 8\)
• \(5x - 4x - 8 + 5 + 8\)
• \(x - 8 + 5 + 8\)
• \(x - 3 + 8\)
• \(x + 5\)