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Feliz [49]
3 years ago
11

Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of suga

r will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
Mathematics
2 answers:
STatiana [176]3 years ago
5 0

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

Anastasy [175]3 years ago
3 0

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

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3 years ago
Edward bought the 7 concert tickets for himself and 6 friends for a total of $168. Each friend paid Edward back for his or her t
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Answer: $26

Step-by-step explanation:

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Therefore, Edward should return $26 to the person.

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3 years ago
In a billiards game, Pete hits a ball that is 20 in. from a wall. The ball travels 34 in. until it hits the wall and bounces to
Novosadov [1.4K]

Refer to the attached image,

Peter hits a ball that is 20 inch from a wall means AB=20 in

A ball travels 34 in until it hits the wall means AC=34 in

It bounces back to a position means CD = 'x' in (Say)

It bounces back to CD which is 16 in from the wall means DE=16 in

We have to calculate the value of 'x'.

Since, ball is reflected from point C. By law of reflection which states the angle of reflection is equal to the angle of incidence.

So, \angle ACF=\angle FCD = y degrees (say)

Since angles BCF and FCE are right angles.

So, \angle BCA=\angle DCE = 90-y^\circ (equation 1)

Now, in triangle ABC and CDE

\angle B=\angle E (Each angle is right angle)

\angle BCA=\angle DCE (From equation 1)

Therefore, triangle ABC is similar to triangle DEC by AA similarity.

So, the ratio of corresponding sides are equal.

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Therefore, the distance, x, the ball traveled after it bounced off the wall to get to the ending position is 27.2 in

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