Mathematics Middle School

A group of students and teachers are going on a field trip? One ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?

Answers

Answer 1

3/9 will fit on one bus so it will take 3 buses to fit 9/9 of the students, which 9/9 is the whole group.

Answer 2

The entire group will need 3 buses to transport them on the field trip.

How many buses will be needed?

Let total number of people in the group be represented by 'P'

We are told that 1/9 of the group can fit on 1/3 of a school bus.

So, this shows 1/9 of P = (1/3) of a bus; we will write an equation to find the total number of buses needed

==>

(1/9)P = (1/3) bus

P = (1/3) bus * 9

P = 9/3

P = 3 buses.

Related Questions

a swimming pool charges $3 per session to sweim, without a discout card. A discount card costs $36 and with the card it costs only $1 per session to swim. How many times would you have to swim to justify buying the discount card?

Answers

13 times you'd have to swim

In a graduation program,1 1/2 hours are set aside for speakers. If the keynote speaker is given 1/4 hour, how long will each of the remaining 5 speakers have to give their speech?

Answers

Okay. So the keynote speaker has 1/4 of an hour to speak, which means that 1 1/4 hours or 75 minutes are left for speakers. To find out the amount of time for each of the remaining 5 speakers, you have to divide 75 by 5. 75/5=15. The remaining 5 speakers will have 15 minutes to give their speech.

1 1/2 -1/4 = 5/4 remaining
5/4 divided by 5 = 1/4 per remaining speaker

What is the greatest common factor for 12x^5y and 32x^6y

Answers

Simplifying 12x5y = 32x6y Solving 12x5y = 32x6y Solving for variable 'x'. Combine like terms: 32x6y + -32x6y = 0 12x5y + -32x6y = 0 Factor out the Greatest Common Factor (GCF), '4x5y'. 4x5y(3 + -8x) = 0 Ignore the factor 4. Subproblem 1Set the factor 'x5y' equal to zero and attempt to solve: Simplifying x5y = 0 Solving x5y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. Subproblem 2Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solutionx = {0.375}

Answer:

hecc

Step-by-step explanation:

what is 3x-8=8x+4/2 solve for variable

Answers

first you need to get your variable by itself

3x - 8 = 8x + 4/2

subtract 3x from 8x

-8 = 5x +4/2

subtract 4/2 from -8

-10 = 5x

divide by 5

x = -2

x= -2 I am 100% sure

after two games of bowling tonka had a total score of 220. his score for the first gamr was 97. what was his score for the second game?

Answers

220-97=123
Her second game is 123

how do I solve 6x-5=7-9x

Answers

The value of x is 4/5 in the given equation 6x-5=7-9x

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 6x-5=7-9x

Six times of x minus five equal to seven minus nine times of x

Take all the variables terms on one side and constants on other side.

6x+9x=7+5

15x=12

Divide both sides by 15

x=12/15

The GCF of 12 and 15 is 3

So divide numerator and denominator by 3

x=4/5

Hence, the value of x is 4/5 in the given equation 6x-5=7-9x

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What is 200 divided by 36

Answers

The answer is
5.55555556

The answer is 5.5555

which part of expression is a factor? 12+5(-3n-8)

Answers

Final answer:

The factor in the expression 12+5(-3n-8) is (-3n-8).

Explanation:

In the expression 12+5(-3n-8), the part (-3n-8) is a factor.

A factor is a number or expression that divides another number or expression evenly. In this case, the expression (-3n-8) is being multiplied by 5, making it a factor of the overall expression.

For example, if we let n=2, the expression (-3n-8) becomes (-3*2-8) = (-6-8) = -14. So, the factor (-3n-8) in the given expression becomes 5*(-14) = -70.

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Final answer:

The factor of the expression 12 + 5(-3n - 8) is -3n - 8.

Explanation:

In the expression 12 + 5(-3n - 8), the factor is the term being multiplied by 5. In this case, the expression -3n - 8 is the factor.

So, the factor of the expression is -3n - 8.

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34=−2t can u help me

Answers

34/2= -t => 17= -t => t= -17

Determine the value of x for which a || b if m<3=10x and m<5=12x-25

Answers

10x=12x-25
-2x=-25
2x=25
x=2.5

Insert parentheses in 5+4x2+6-2x2-1 so that it has a value of 19. then show why your expression has a value of 19

Answers

Given the expression

5 + 4 × 2 + 6 - 2 × 2 - 1

We would want to insert the parentheses for the sum that is not division or multiplication so we can work out the sum inside the parentheses first. We have the option to insert the parentheses either for '5 + 4' or for '2 + 6' or for '6 - 2' or for '2 - 1'

Using trial and error:

(5 + 4) × 2 + 6 - 2 × 2 - 1 ⇒ Working this out following BIDMAS
9 × 2 + 6 - 2 × 2 - 1
18 + 6 - 4 - 1
24 - 4 - 1
19

The parentheses inserted for the sum 5 + 4 gives the answer 19

What is 10y-3x+6=11 in standard form

Answers

3x−10y=−5 is the answer I hope this helps! :)

Final answer:

The equation 10y-3x+6=11 in standard form is represented as -3x + 10y = 5.

Explanation:

To write the equation 10y-3x+6=11 in standard form, we need to rearrange the terms. Standard form is usually given as Ax + By = C, where A, B, and C are integers and A and B are not both 0.

First, we should move the term containing 'x' and the term containing 'y' to the left side of the equation, and the constant term on the right side of the equation. The resulting expression would be 3x - 10y = -5.

The standard form is not negative, we will multiply through by -1. So, our final equation in standard form is -3x + 10y = 5.

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A bowl contains 80 M&M candies if 15 of the candies are orange what fraction of the candies
is not orange reduce answer to the lowest terms

Answers

13/16 are not orange

15-80=65

65/80 candies are not orange
5 is a multiple of both numbers so divide 65 and 80 and you get 13/16

what is the greatest common factor of 120-36

Answers

The greatest common factor of 120 and 36 is 12. Hope this helps☺

The Greatest common factor is 12

Your round-trip drive to work is 43104310 miles. How many miles do you drive to and from work in 33 days?

Answers

Answer:

12 9/10

Step-by-step explanation:

You take 4x3 = 12 and then add in the 3/10x3 which is 9/10 so you can write this as 12.9 or 12 and 9/10

Please help!!!!!!!!!!!!!!!!!!!!

Answers

Greetings!

"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...

The variable in this equation would be the amount of servings she can eat of the items.
Lets represent this as [tex]x[/tex] ; [tex]x[/tex]=amount of servings

The item has 30 mg of cholesterol and she wants to only consume 45 mg.

The equation would be:
[tex]30x=45[/tex]

Solve for x.
Divide both sides by 30.
[tex](30x)/30=(45)/30[/tex]
Simplify.
[tex]x=1.5 [/tex]

Alisa can consume 1.5 servings of the item each day.

Hope this helps.
-Benjamin

Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?

Answers

Answer:

i think the first one

Step-by-step explanation:

Final answer:

To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality 3x <= 62.

Explanation:

To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality:

3x <= 62

where x represents the cost of each gift card. This inequality ensures that the total cost of 3 gift cards does not exceed $62, which is $2 above $60.

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What is the value of y in the solution to the system of equations?
1/3 x + 1/4y = 1
2x – 3y = –30

Answers

You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
4x + 3y =12
2x - 3y = -30
As you can see, you have two terms that only differ in sign.
By adding both equations together you get this:
6x=-18 or x=-3
The reason why you can add these equations together is illustrated in the next example:
4=x
5=y
4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
4*-3 + 3y =12
-12 + 3y =12
3y= 24
y=8

if h represents a number then write an expression for the quotient of twice h and 10 more than h

Answers

2h + 10

Hope this helps!! :)

What is the LCm of two numbers if one number is a multiple of the other

Answers

Greetings!

"What is the LCM of two numbers if one number is a multiple of the other"...

The LCM (The Lowest Common Denominator) would be the number itself, multiplied by one.

For Example:
3/4+3/20

Multiples of the Denominators:
4:4,8,12,16,20,24
20:20,40

4*5=20
20*1=20

The LCM would be 20.

Hope this helps.
-Benjamin

The price of a computer dropped from $1,500 to $1,200. What was the percent of that drop?

Answers

Hello! The first step is to subtract 1500 from 1200 and you get 300. then you must see what 300 percent of 1500 is. So, simply divide 1500 from 300 and you get 0.2. Then when you make a percent, you multiply it by 100 which gives you 20%. That would be your final answer!

I hope this helped,

I am, yours most sincerely,
SuperHelperThingy

of an item is $480. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 20%. Find the sale price after both markdowns

Answers

Final answer:

The item with an original price of $480 is marked down twice, first by 10%, reducing it to $432, and then by another 20%, making the final sale price $345.60.

Explanation:

The original price of the item is $480. The first markdown of 10% reduces the price by $48 (10% of $480), which makes the new price $432. After six months, the item is marked down again by 20%, which is $86.40 (20% of $432). The final sale price of the item after both markdowns is $432 - $86.40 = $345.60.

There are 8 students on the minibus.five of the students are boys.what fraction of the students are boys

Answers

5/8 of the students are boys

5 representing boys
8 representing all students

Traveling at 65 miles/hour, how many feet can you travel in 22 minutes?

Please break this down into parts so i can easily understand this. I take gse algebra 1 in the 8th grade and i'm having trouble with dimensional analysis word problems so I really need help with this one. We also have to use a certain chart that looks like a big fraction we use to solve problems like this, the units cancel out, and we multiply the top and bottom and then divide the top product by the bottom product. Please help. I'll also be giving the brainliest answer.

Answers

This is what's called a unit rate problem.

someone is going at 65 miles per hour, and you must find the distance in feet in 22 minutes. I think I know what chart you're talking about. I'm going to try to write it here, I don't know if it will appear the way I want it to

65 miles | 1 hour | 5280 feet | ----------------------------------------------- hour | 60 minutes| Mile| Now multiply the fraction out. Anytime a unit appears on both the top and bottom, it cancels, so miles and yours cancel. You end up with 343200 feet/ 60 minutes (all I did was multiply 65 by 5280 and add the remaining units and the denominator. The easiest way to get to your final answer is get the number of feet in one minute, so divide 343200 by 60 and you get 5720 feet/ min. To get the final answer, all you now have to do is multiply by 22 minutes to get 125840 feet.

The formula is; speed =distance\timetaken. We are asked to find the number of feet which is the distance. Note that unit of speed is m\s. The now is that l can't convert miles to meter

The cook in the school cafeteria made 47 1/2 cups of mashed potatoes. If there are 1 1/4 cups mashed potatoes in a serving, how many servings did she make?

Answers

The answer would end up being 38 servings.

Hope this helped.
Private message me if you have any questions.

Please give brainliest if possible.
Thank you.

To find the number of servings, divide the total amount of mashed potatoes (47 1/2 cups) by the amount in each serving (1 1/4 cups), resulting in 38 servings.

To calculate the number of servings the cook made, we need to divide the total amount of mashed potatoes by the amount in each serving:

First, we have 47 1/2 cups of mashed potatoes in total.

We know that one serving is 1 1/4 cups of mashed potatoes.

To find out how many servings there are, divide the total cups (47.5) by the cups per serving (1.25):
47.5 ÷ 1.25 = 38 servings.

So the cook made 38 servings of mashed potatoes.

What the smallest odd number out of 6, 4, 3 and 8?

Answers

Final answer:

The smallest odd number from the list provided (6, 4, 3, 8) is 3, as it is the only number that is not divisible by 2 and is therefore classified as an odd number.

Explanation:

The question asks to identify the smallest odd number from a given list of numbers: 6, 4, 3, and 8. We start by defining what an odd number is. An odd number is an integer which is not divisible by 2, meaning it cannot be evenly divided into two equal whole numbers. With this definition in mind, we can examine each number in the list.

The number 6 is divisible by 2, therefore it is an even number.The number 4 is another even number for the same reason.The number 3 is not divisible by 2, which makes it an odd number.The number 8 is also divisible by 2, thus it is even.

Gathering only the odd numbers from the list, we have just one, which is the number 3. Since this is the only odd number, it is by default also the smallest odd number from the list.

PLEASE HELP ASAP!
First question. 1/6 of the students at a local college Seniors. The number of freshmen students is 2 1/2 times that amount. what fraction of the students are freshman?

Second question. Anna wants to make four sets of curtains. Each set requires 5 1/8 yards of fabric. How much fabric does she need?

Third question. It takes Dylan 8 1/3 minutes to run 1 mile. It takes Kate 1 1/5 times longer. How long does it take Kate to run one miles?

Last question. Carl bought some stock at $25 a share. The stock increase to 1 1/2 times its value. How much is the stock per-share?

Answers

Second question is 20 yards
Third question is 10 minutes I think

Please answer these for me! please!

Graph the line y=−1.5x. Using the graph, find:

The value of y corresponding to the value of x equal to 1; 0; 2; 3
You have 2 attempts left to earn the full credit for this problem.
Answer:
If x = 1, y = ....
If x = 0, y = ....
If x = 2, y = ....
If x = 3, y = ....

Answers

x=0-> y=0
x=1-> y=-1.5
x=2-> y=-3
x=3-> y=-4.5

What's the answer of 13846+8273636-3763x8273736

Answers

13846+8273636
= 8287482

8287482-3763
=8283719

8283719x8273736
=6.8537304^13

Solve for X
4(x+1) < 3

Answers

I would say the answerve is a

4x+1 < 4x+3
-4x -4x

1<3 No solution

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