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Troyanec [42]
2 years ago
8

Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of

napkins Monique should buy to have an equal number of cups and napkins? Justify your answer.
Cups- $2.50 , 12 per package. Napkins- $4.25 , 10 per package.
Mathematics
2 answers:
olchik [2.2K]2 years ago
6 0

Answer:

You would have to buy 5 packs of cups and 6 packs of napkins.

Step-by-step explanation:

The least number of both cups and napkins you would have to buy to have an equal number would be 60.

Cups:

12x5=60

Napkins:

10x6=60

:>

anyanavicka [17]2 years ago
4 0

Answer: 5 packs of cups, 6 packs of napkins

Step-by-step explanation:

To solve this question, you need to find the least common multiple (LCM) of 12 and 10. The LCM is the lowest number that is a multiple of both of those numbers (for example, the least common multiple of 2 and 4 is four, because four is a multiple of both two and four. another example would be the lcm of 2 and 3 is 6, because both numbers can multiply to 6).

So to find the LCM, we can make a table of multiples of both of these numbers and see which one is the lowest.

12: 12, 24, 36, 48, 60

10: 10, 20, 30, 40, 50, 60

See how the lowest common multiple is 60 in this case? There are other common multiples, like 120 for example, but this is the lowest one so we'll work with it instead. Let's work out how many packs it will take to get to 60 items in total.

12 x 5 = 60, so Monique should buy 5 packs of cups.

10 x 6 = 60, so Monique should buy 6 packs of napkins.

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madreJ [45]

Answer:

4. x = 16.8

5. x = 35.98

Step-by-step explanation:

For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.

For number 4, the equation you are setting up is tan 35 = x/24.  Multiply 24 on both sides to get the answer which is 16.8 for the x side.

For number 5, the equation you are setting up is tan 17 = 11/x.  As a result on your calculator, you should get 35.98 for the x side.

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3 years ago
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stepladder [879]

5. m∠C = 95°

6. m∠C = 70°

7. The other acute angle in the right triangle = 70°

8. m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 110°

11. m∠B = 70°

12. m∠Z = 70°

<h3>What are Triangles?</h3>

A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:

  • Isosceles triangle: has 2 equal base angles.
  • Equilateral triangle: has three equal angles, each measuring 60 degrees.
  • Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.

5. m∠C = 180 - 50 - 35 [triangle sum theorem]

m∠C = 95°

6. m∠C = 180 - 25 - 85 [triangle sum theorem]

m∠C = 70°

7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]

The other acute angle = 70°

8.  m∠C = 180 - 55 - 55 [isosceles triangle]

m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 50 + 60

Measure of the exterior angle at ∠C = 110°

11. m∠B = 115 - 45

m∠B = 70°

12. m∠Z = 180 - 35 - 75

m∠Z = 70°

Learn more about triangles on:

brainly.com/question/25215131

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