Jordan buys a trampoline online for $175. If shipping and handling are an additional 20% of the price, how much is the total cost including shipping and handling?

Question

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1 point
$35.00
$175.00
$195.00
$210.00
Isabella bought packs of stickers to give to her friends. Each pack costs $3. She spent a total of $18 on stickers. How many packs did she buy? Write an equation to represent this situation.
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1 point
18x=3
x + 3 = 18
3x = 18
3/18 = x
Oakwood Elementary Fall Carnival gets bigger every year. Last year, they had 70 volunteers working 14 booths. This year, they want to have 42 booths. If they use the same ratio of volunteers to booths, how many volunteers does Oakwood Elementary need this year?
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1 point
73 volunteers
210 volunteers
140 volunteers
112 volunteers
The Stewart family is renting a beach house. Mr. Stewart called the rental agency ahead of time to get the total cost for 9 days. The rental agent explained that since the family plans to stay during the off season, there will be a one-time discount of $25 applied to their rental cost. The Stewarts will pay $920 in all.
Which equation can you use to find d, how much the agency charges per day?
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1 point
25d - 9 = 920
25(d - 9) = 920
9(d - 25) = 920
9d - 25 = 920
Jack is mountain climbing with Liz and has just climbed a 16-meter vertical rock face. Liz is standing 12 meters away from the bottom of the cliff, looking up at Jack. How far away are Jack and Liz? (Hint: use Pythagorean Theorem a^2 + b^2 = c^2)
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1 point
20 meters
28 meters
400 meters
8 meters

Answer 1

Let's solve each question one by one!

1. Jordan's Trampoline Purchase:

   • The price of the trampoline is $175.
   • Shipping and handling are an additional 20% of this price.
   • Calculate the shipping and handling: \[ 0.20 \times 175 = 35 \]
   • Total cost including shipping and handling: \[ 175 + 35 = 210 \]
   • Therefore, the total cost is $210.00.

2. Isabella's Sticker Purchase:

   • Let \( x \) be the number of packs.
   • Each pack costs $3, and she spent a total of $18.
   • The equation representing this situation is: \[ 3x = 18 \]
   • Therefore, the equation is 3x = 18.

3. Oakwood Elementary Volunteers:

   • Last year, there were 70 volunteers for 14 booths.
   • The ratio of volunteers to booths last year is \( \frac{70}{14} = 5 \) volunteers per booth.
   • This year, they want to have 42 booths.
   • Using the same ratio, the number of volunteers needed this year: \[ 5 \times 42 = 210 \]
   • Therefore, the number of volunteers needed is 210 volunteers.

4. Stewart Family's Beach House Rental:

   • The Stewarts will pay a total of $920 after a one-time discount of $25 for their rental.
   • Let \( d \) represent the cost per day.
   • The equation to represent this situation is: \[ 9d - 25 = 920 \]
   • Therefore, the equation to use is 9d - 25 = 920.

5. Jack and Liz's Distance:

   • Jack has climbed 16 meters vertically (this is side \( a \)).
   • Liz is 12 meters horizontally away from the bottom of the cliff (this is side \( b \)).
   • Using the Pythagorean Theorem \( a^2 + b^2 = c^2 \): \[ 16^2 + 12^2 = c^2 \ 256 + 144 = c^2 \ 400 = c^2 \ c = \sqrt{400} = 20 \]
   • Therefore, Jack and Liz are 20 meters apart.

Summary of Answers:

1. 210.00
2. 3x = 18
3. 210 volunteers
4. 9d - 25 = 920
5. 20 meters