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 step-by-step.

1. Total cost including shipping and handling for the trampoline:

   • Price of the trampoline: $175
   • Shipping and handling = 20% of $175 = 0.20 * 175 = $35
   • Total cost = $175 + $35 = $210

   Answer: $210.00

2. Equation to represent the number of sticker packs Isabella bought:

   • Cost per pack = $3
   • Total cost = $18
   • Let x be the number of packs.
   • Thus, the equation is: 3x = 18.

   Answer: 3x = 18

3. Calculating the number of volunteers needed this year (maintaining the same ratio):

   • Last year: 70 volunteers for 14 booths.
   • Ratio of volunteers to booths = 70 / 14 = 5 volunteers per booth.
   • This year: 42 booths.
   • Volunteers needed this year = 5 volunteers/booth * 42 booths = 210 volunteers.

   Answer: 210 volunteers

4. Equation to find the daily cost for the Stewart family renting a beach house:

   • Total cost for 9 days = $920
   • Discount of $25 applied.
   • Therefore, the equation is: 9d - 25 = 920 (where d is the daily cost).

   Answer: 9d - 25 = 920

5. Finding the distance between Jack and Liz using the Pythagorean theorem (a^2 + b^2 = c^2):

   • a = 16 meters (height Jack climbed)
   • b = 12 meters (distance Liz is from the base)
   • c = distance between Jack and Liz
   • Using the Pythagorean theorem:
     • \( c^2 = a^2 + b^2 \)
     • \( c^2 = 16^2 + 12^2 \)
     • \( c^2 = 256 + 144 \)
     • \( c^2 = 400 \)
     • \( c = \sqrt{400} = 20 \text{ meters} \)

   Answer: 20 meters

To summarize:

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