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Georgia [21]
3 years ago
7

Ann, Hong and josh served a total of 120 orders Monday at school cafeteria: josh served 4 times as many Orders as Hong. Ann serv

ed 6 fewer orders than Hong. How many orders did they each serve
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer: Josh served 84 lunches, Hong served 21 lunches, and Ann served 15.

Step-by-step explanation:

So there are 120 lunches. We can just call the amount of lunches Josh served, x. So, we know that Hong served a fourth of the lunches Josh did, so we can label him as 1/4 x. We also know that Ann served 6 less than Hong, so she would be 1/4x -6. Next, we put all that into an equation.

120 = x + 1/4x + 1/4x - 6.

Now we have to get the x by itself, so you add 6 to the left side.

126 = x + 1/4x + 1/4x

Now we combine all of the x's.

126 = 1.5x

We then divide 126 by 1.5 to find the x value.

X =84

So because X is the amount Josh served, we know he served 84 lunches.

But Hong served 1/4 of the amount Josh served, so you divide 84 by 4 to get 21 lunches. Finally, Ann served 6 less than Hong, so you subtract 6 from 21 to get 15 lunches.

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Pls help me im confused
Artemon [7]

Answer:

c=36p+36

Step-by-step explanation:

Okay so the cost of the meal without tip is $36. To find the tip, we would multiply p by 36. To find our total (c), we would add this (36p) to the original 36.

In other words:

c=36p+36

(can also be written as c=36(1+p) )

8 0
2 years ago
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could pl
Dafna11 [192]

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

6 0
3 years ago
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

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

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

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3 years ago
Choose the more precise measurement. A) 32.5 lb B) 28.35 lb *​
s2008m [1.1K]

Answer:

B is the answer

Step-by-step explanation:

I hope it will help u (◕ᴗ◕✿)

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3 years ago
a lighthouse casts a 128 footshadow a nearby lampost that measures 5 feet 3inches cast an 8 Foot Shadow
k0ka [10]
5 times 3 times 8 is the correct answer, because it's like finding the volume.<span />
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3 years ago
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