Stacy made 3 dozen oatmeal cookies. She ate 1/6 of them. How many did she have left?

Answers

Answer 1

Answer: Given:
3 dozen oatmeal cookies
1/6 of them was eaten

How many was left?

1 dozen is equal to 12 pieces.
3 dozen * 12 = 36 pieces
36 * 1/6 = 36/6 = 6

Stacy ate 6 pieces of oatmeal cookies.
36 - 6 = 30 pieces left.

There are 30 pieces of oatmeal cookies left.

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A Bus can travel 18 3/8 km in an hour. how far can it travel in 3/8 hours

Answers

Answer:

6.890625 km

Step-by-step explanation:

We know

A Bus can travel 18 3/8 km in an hour.

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Calculators are sold to students for $20 each. 300 students are willing to buy them for that price. For each five dollars increase in price, there are 30 fewer students that are willing to buy the calculator. a. what selling price will produce the maximum revenue?

b. what will the maximum revenue be?

Answers

Answer:

a) 40$ b) 7600

Step-by-step explanation:

In my opinion, the best way to go about this is to simply start by doing 20×300, 25×270, 30×240, etc. Once I reached 40, I realized that my revenue was going down after it, so I saw that a 40 dollar starting price would being in more money. 40×190 - (the amount of students who will buy at that price) equals 7600, which will be your maximum revenue. I hope i could help, good luck.

Six people share 3
4
pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.

Answers

Answer:

1/8 lb

Step-by-step explanation:

Each person gets 1/6 of the total amount, so ...

(1/6)(3/4 lb) = 3/24 lb = 1/8 lb

Each person gets 1/8 pound of peanuts.

Is 3 yards greater or less than or equal to 21 feet

Answers

3 yards is less than 21 feet. 3 yards is 9 feet. 7 yards is 21 feet

3 yards is less than 21 feet because there are 3 feet in each yard.
3x3=9
21 feet is greater than 9 feet
Hope this helps!!!

Solve each system of equations using substitution. Show all work.1) y = 2x - 5
4x - y = 7

2) 2x - 3y = 12
x = 4y + 1

3) y = 5 - x
x - 4y = 10

Answers

1.
y=2x-5
sub that for y
4x-(2x-5)=7
distribute
4x-2x+5=7
2x+5=7
2x=2
x=1
sub back
y=2x-5
y=2(1)-5
y=2-5
y=-3

(1,-3)

2. x=4y+1
sub that for x
2(4y+1)-3y=12
8y+2-3y=12
5y+2=12
5y=10
y=2
sub back
x=4y+1
x=4(2)+1
x=8+1
x=9

(9,2)

3. y=5-x
sub that for y
x-4(5-x)=10
x-20+4x=10
5x-20=10
5x=30
x=6
sub back
y=5-x
y=5-6
y=-1
(6,-1)

soluitons

1. (1.-3)
2. (9,2)
3. (6,-1)

Solve the equation 3(x+2)=5x-2

Answers

      3(x + 2) = 5x - 2
3(x) + 3(2) = 5x - 2
      3x + 6 = 5x - 2
   - 3x    - 3x
      6 = 2x - 2
   + 2 + 2
      8 = 2x
      2    2
      4 = x

$3(x+2)=5x-2\n3x+6=5x-2\n5x-3x=6+2\n2x=8\nx=4$

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Let f(x) = 3x +5 and g(x) = -4x +7. Find (fog)(-4)