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earnstyle [38]
3 years ago
9

A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squi

rrel’s speed is 100 feet per minute. How long will it take for the dog to get the squirrel?
Mathematics
1 answer:
puteri [66]3 years ago
5 0
Set up the equation as follows:

150x = 100x + 200

150x represents the dog's speed, 100x represents the squirrel's speed, and 200 represents the distance the squirrel has on the dog. x is the amount of minutes that elapse.

Subtract 100x from both sides.

50x = 200

Divide both sides by 50.

x = 4

It will take the dog 4 minutes to catch up with the squirrel.
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Step-by-step explanation:

this expression is equal to

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Answer:

x = 19.42

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2 years ago
Read 2 more answers
Someone help please❤️ & Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

6 0
3 years ago
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