Mathematics Middle School

## Answers

**Answer 1**

35.2 ounces is 1/5 of the popcorn

so 35.2 x 5 = 176

1 pound = 16 ounces

176÷16=11

The movie theater made 11 pounds of popcorn

**Answer 2**

Made 4/5 with butter......leaving 1/5 (or 35.2) ounces....

so 1/5 of what is 35.2

1/5x = 35.2

x = 35.2 * 5

x = 176 ounces....

16 ounces = 1 lb......so 176 ounces = (176/16) = 11 lbs

## Related Questions

The population of a small rural town in Iowa went from 5700 people in 1998 to 7945 in 2005. What is the rate of change in the population for this town? A)-321 per yr

B)321 per yr

C)1135 per yr

D)1825 per yr

### Answers

First, the total difference of the amount of people living in the town from 1998 to 2005 is 7945-5700 or 2245 people. To find out how many years it took for this growth, we would need to subtract 1998 from 2005 to get 7 years. So, in 7 years, the town gained 2245 people. If we divide 2245 by 7 to get the unit rate, we will find that the change in population is 320.71... people per year, or if rounded, 321 people per year, which is a.

A packet of eggs contains six eggs. Abraham buys x packets. He uses two eggs for his breakfast. i) Write an expression for the number of eggs that he has left.

ii) If he has 28 eggs left, how many packets did he buy?

### Answers

6x-2 because there are 6 eggs per packet and x packets and 2 are gone

6x-2= 28

6x= 30

x=5 so 5 packets

The time, in minutes, that it took several different runners to complete a race is shown below. 49, 50, 53, 54, 55, 60, 62, 68, 70, 71, 72, 73

What is the mean of the data?

If you are a Patriot or Falcon Fan please say thanks

### Answers

The required mean of the data is approximately 59.83 minutes.

What is mean?

In statistics, the mean is a measure of central tendency that represents the average of a set of numbers. It is calculated by adding up all the values in a dataset and dividing by the total number of values.

The mean is sometimes called the arithmetic mean or average. It is a commonly used statistic in many fields, including science, engineering, economics, and finance.

Here,

To find the mean of the data, we add up all the values and divide by the total number of values:

Mean = (49 + 50 + 53 + 54 + 55 + 60 + 62 + 68 + 70 + 71 + 72 + 73) / 12

Mean = 718 / 12

Mean ≈ 59.83

Therefore, the mean of the data is approximately 59.83 minutes.

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The mean (average) can be found by adding up all the numbers, then dividing that by how may numbers there are...

(49+50+53+54+55+60+62+68+70+71+72+73) /12 = 737/12 = 61.41..or 61 5/12

vidur needs to buy much for the garden with the dimesions shown in the figure.for how much area does vidur need to biy mulch?

### Answers

5.5 * 5.5 = 30.25 yds

One hundred and ninety students go on a tour. They go in minibuses that carry 14 passengers each and in buses that carry 40 passengers each. There were right vehicles used, all full. How many of each type of vehicle were used? (How do you get the answer?)

### Answers

190 / 40 = 4.75.

It can't be 4 buses .

There would be 3 buses.

40 x 3 = 120

190 - 120 = 70

70 / 14 = 5

5 + 3 = 8 vehicles.

There would be 3 buses and 5 minibuses.

Hope This Helps You!

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M + b = 8.....m = 8 - b

14m + 40b = 190

14(8 - b) + 40b = 190

112 - 14b + 40b = 190

-14b + 40b = 190 - 112

26b = 78

b = 78/26

b = 3....there were 3 buses used

m + b = 8

m + 3 = 8

m = 8 - 3

m = 5...there were 5 mini-buses used

-2

__m=-12

3

Can any one help me?

### Answers

-2/3m = -12.....multiply both sides by -3/2, eliminating the -2/3 on the left side

m = -12 * -3/2

m = 36/2

m = 18

A Gaelic football team scored 18 times, a mixture of points and goals. A goal is worth three points. If their total score was 28 points, how many goals did they get? (How do you get the answer?)

### Answers

X= number of goals

y= number of points

x+y=18

3x+y=28

(3x+y)-(x+y)=28-18

2x=10

x=5

y=13

-15=-.2k

Can anyone help me?

### Answers

-15 = -0.2k...divide both sides by -0.2

-15 / -0.2 = k

75 = k

-15 = -.2k

divide -15 by .2k and you'll get 75

In a jar of coins, the ratio of nickels to dimes is 5:7. If the jar contains 350 dimes, how many nickels are there? A)200 B)225 C)250 D)500

### Answers

There are total of 250 nickels inside the jar.

What are algebraic expressions?

- In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
- Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that in a jar of coins, the ratio of nickels to dimes is 5 : 7. The jar contains 350 dimes.

Let the number of nickels be {x}. So, we can write -

5/7 = x/350

{x} = (5 x 350)/7

{x} = 250

Therefore, there are total of 250 nickels inside the jar.

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5/7 = n / 350....5 nickels to 7 dimes = n nickels to 350 dimes

this is a proportion so we cross multiply

(7)(n) = (5)(350)

7n = 1750

n = 1750/7

n = 250....so there are 250 nickels

A pet shop has rabbits and gerbils for sale. They have 20 animals altogether. They sell two rabbits. Then one of the gerbils has twins. The shop now has three times as many gerbils as rabbits. How many of each did they start with? (How do you get the answer?)

### Answers

20 animals - 2 rabbits = 18 animals

18 animals + 2 gerbils = 20 animals.

20 animals / 4 = 5 animals

There are 5 rabbits and 15 gerbils now.

At the start 2 rabbits were sold so add that on.

5 + 2 = 7

There were 7 rabbits.

There weren't any twin gerbils then.

15 - 2 = 13.

There were 13 gerbils and 7 rabbits to start with.

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Peter is five times as old as Kristin. In two year's time, Peter will be three times as old as Kristin. How old are they now? (How do you get the answer?)

### Answers

Kristin is 2 and Peter is 10 (2*5) as in 2 years time, Kristin will be 4 and Peter will be 12, and 4 times 3 is 12.

Find four consecutive even numbers so that the sum of all four is the same as three times the biggest number. (Hint: Let x = the smallest. Therefore x + 2 = the next, x + 4 = the next and x + 6 = the biggest.) How do you get the answer?

### Answers

X + (x + 2) + (x + 4) + (x + 6) = 3(x + 6)...combine like terms

4x + 12 = 3x + 18

4x - 3x = 18 - 12

x = 6

x + 2 = 6 + 2 = 8

x + 4 = 6 + 4 = 10

x + 6 = 6 + 6 = 12

so ur 4 numbers are : 6,8,10,and 12...and the sum of all of them (36) = 3 times the largest (3 x 12) = 36

Which of the following functions has the function rule y = x + 4? {(0, 2), (-2, -6), (1, 5)}

{(2, 6), (-3, -7), (0, 4)}

{(-3, 1), (0, 4), (2, 6)}

{(-2, 2), (-1, -5), (3, 7)}

### Answers

Answer:

Function rule {(-3, 1), (0, 4), (2, 6)}

Step-by-step explanation:

Given : y = x + 4.

To find : Which of the following functions has the function rule.

Solution : We have given y = x + 4.

For x = -3

y = -3 +4

y = 1.

For x = 0

y = 0 +4

y = 4.

For x = 2

y = 2+ 4

y = 6.

Then {(-3, 1), (0, 4), (2, 6)}

Therefore, Function rule {(-3, 1), (0, 4), (2, 6)}

The answer is {(-3, 1), (0, 4), (2, 6)}. U use substitution to solve.So substitute x in Y= X+4

Substitute x with 2 so the equation now reads

Y= 2+4

=6

Remember the first number is always =x and the second number is always Y

What are the inputs of the following function? {(-3, 2), (-4, 2), (8, 3), (7, 1)}

{-4, -3, 7, 8}

{1, 2, 3}

{-4, -3, 1, 2, 3, 7, 8}

{1, 2, 3, 7, 8}

### Answers

Answer:

C{-4, -3, 1, 2, 3, 7, 8}

Step-by-step explanation:

i just got that on one of my assigments and that was the correct answer.

Round 19.3 to the nearest whole number.

### Answers

19.3 would be rounded down to the number 19. This is because the number in the tenths column is 4 or less therefore you round down.The answer is 19.

Hope This Helps You!

Good Luck Studying :)

Gaseste substantivele din textul urmator si analizeaza-le dupa modelul dat.Fusul imi sfaria pe la urechi.Ma uitam la cer printre frunzele dudului.De sus mi se parea ca se scutura o ploaie albasrtra.

### Answers

Puede hablar al menos un poco de inglés

Mary's age is 2/3 that of Peter's. Two years ago Mary's age was 1/2 of what Peter's age will be in 5 years' time. how old is Peter now?

### Answers

Let Mary's age be x

and Peter's age be y

First equation x=2/3y

Second equation (x-2)=1/2(y+5) If peters age 5 years time from his current age

Solving the equation u get Peters age as 23 years old

What is the answer to 1/9 + 5/6

### Answers

17/18 is the correct answer

1/9+5/6=(2+15)/18=17/18=0.95

Jenny bought a 5 notebooks and 2 pencils, and the total was 9 dollars. Alex bought 3 notebooks and 2 pencils, and his total was 6 dollars. Write an equation and solve to find how much does a notebook and a pencil cost.

### Answers

You would solve this with simultaneous equations, so if we write it as:

5n + 2p = 9

3n + 2p = 6

(subtract)

2n = 3

÷ 2

notebooks = 1.5

Now you would substitute it in:

(3 × 1.5) + 2p = 6

4.5 + 2p = 6

- 4.5

2p = 1.5

÷ 2

pens = 0.75

So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!

1. a model rocket is fired vertically into the air at 320 ft/s. The expression -16t^2+320t gives the rocket's height after t seconds. factor this expression Factor each expression or state if it cannot be factored.

1. 13q^4+2p^2

2. 14n^3+7n+7n^2

3.2b(b+3)+5(b+3)

4.4(x-3)-x(y+2)

5.7r^3-35r^2+6r-30

### Answers

1A.) Cannot Be Factored

2B.) 7n(2n + 7 + n)

3C.) (b+3) (2b + 5)

4D.) -(xy - 2x + 12)

5E.) (r-5)(7r^2+6)