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stiks02 [169]
3 years ago
5

Becky needs to make cookies for a school bake sale. The cookies need to be distributed evenly on 2 or more plates. If each plate

gets at least 7 cookies, what are all of the possible combinations for 3 1/2 dozen cookies? Write all 3 possible answers. (no broken cookies allowed)
Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

We can take 2 plates , 3 plates or 6 plates.

Step-by-step explanation:

1 dozen = 12 numbers

Total number of cookies = 42

Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.

  • If we take 2 plates , there can be 21 cookies in each.
  • If we take 3 plates , there can be 14 cookies in each.
  • If we take 6 plates , there can be 7 cookies in each.

These are the 3 possible cases.

Since there cannot be broken pieces, no other combination is possible.

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a) Simply do 0.135(13.5%)*550 to get that his rent increases by $74.25.

b) Simply do 550+74.25 to get that his new rent is $624.25.

c) 624.25/550 = 1.135, or 100%+13.5%, the amount his rent increased.

<em>Hope it helps <3</em>

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3 years ago
Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p
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Answer: 10.2\ yards

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

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d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards

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3 years ago
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