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snow_lady [41]
3 years ago
7

Dante has been shopping for a new bike. He found two bikes that he likes equally-one is sold at Mike's Bikes for $300, and the o

ther is sold at Cycle Center for $275.
Dante has a coupon for 25% off any bike at Mike's Bikes. However, the manufacturer of the bike at Cycle Center has included a $40 rebate after the purchase of the bike.

Where should Dante purchase his mountain bike?
(I would appreciate if you show your work)
Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0
Hello there! So, let's do this a bit at a time. Mike's Bikes sells a bike for $300, but gives a 25% discount for any bike in the store. To find out how much he would pay for the bike, multiply 300 by 75% (0.75). This is because you are still paying 75% of the original price for that bike. When you do, you get 225. That's $225 for the bike at Mike's Bikes. Now, the one at Cycle Center sells a bike for $275, but gives a rebate of $40 after purchasing the bike. A rebate is basically a refund: you get money paid back to you. In this case, we would subtract 40 from 275, because you're basically getting paid back some of what you did pay. 275 - 40 is 235. That's $235 for the bike at Cycle Center. I'll write the prices of the bikes out to make it easier to read.

Mike's Bikes: $225
Cycle Center: $235

Okay. so when you look at the prices for the mountain bikes, you see that the bike at Mike's Bikes is $10 cheaper than the bike at Cycle Center. Dante should purchase his mountain bike at Mike's Bikes, because he will pay less money there. The Cycle Center does give $40 back, but Mike's Bikes has the bike that costs less. 225 < 235.
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vlabodo [156]

Answer:

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Step-by-step explanation:

<u>Given:</u>

  • t = the number of taffy bags
  • c = the number of caramel bags
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  • Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
  • Total weight is 400 ounces

<u>Equations:</u>

  • t = c + 5             (the difference in number of bags)
  • 8t + 16c = 400  (the weight of the bags)

<u>Simplify the second equation by dividing all terms by 8:</u>

  • t + 2c = 50

<u>Substitute t and solve for c:</u>

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  • 3c = 50 - 5
  • 3c = 45
  • c = 45/3
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<u>Find the value of t:</u>

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<u>Answer:</u>

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7 0
3 years ago
Two positive integers have a sum of 13 and a product of 22. what are the integers?
brilliants [131]

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3 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
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Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

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Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

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x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
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dlinn [17]

Answer:

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Step-by-step explanation:

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You need to find what a and b is.

To find b:

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I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

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a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

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I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

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Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

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Answer:

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