A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?

Answers

Answer 1

Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

The students who went camping are divided according to the following fractions:

[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.

The sum of all these fractions is 100% = 1, hence:

[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]

[tex]84x + 61 = 84[/tex]

[tex]84x = 23[/tex]

[tex]x = \frac{23}{84}[/tex]

Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

A similar problem is given at https://brainly.com/question/24372153


Related Questions

What is the equation of this graphed line?



Enter your answer in slope-intercept form in the box.

Answers

Answer is highlighted in blue. If you have any questions feel free to ask.
We can find the slow by using the formula y2-y1/x2-x1. We have (-4, -6) and (2, 6). 6+6/2+4 is 12/6 which is 2. We need to put this into point slope form before putting this into slope-intercept form.

I will use the coordinates (2, 6).

y - 6 = 2(x - 2)

This gives us y - 6 = 2x - 4. We need to isolate y. This gives us y = 2x + 2.

I decided to use point slope form because it looks like the y-intercept is 2 and something tenths. However, the line is just off.

The answer is: y = 2x + 2

Please help meee! I will give brainlist to quickest answer !!!

What is the equation of this graphed line?

Answers

Answer:

You said quick so here it is

[tex]y-6=2(x-2)[/tex]

Help me with these worksheets pls

Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.

Answers

Answer:

1. yes

2.no

3.yes

4.no

5.yes

PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!

A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation

Answers

Answer:

D.

Step-by-step explanation:

Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Bot 1 hot dog and 3 hamburgers for S15. What were the prices of the hamburger and hot dogs?

Answers

Answer:

Hotdog: $3.00

Hamburger: $4.00

Step-by-step explanation:

For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:

x = cost of a hotdog

y = cost of a hamburger

He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:

2x + y = 10

For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:

x + 3y = 15

To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.

Using the second equation, we can solve for x by simply subtracting 3y from both sides:

x = 15 - 3y

We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:

2(15-3y) + y = 10

Distribute out the 2 into the paratheses, combine like terms, and then solve for y:

30 - 6y + y = 10

30 - 5y = 10

-5y = -20

y = 4

This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:

x = 15 - 3y

x = 15 - 3(4)

x = 15 - 12

x = 3

So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.

Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1

Answers

Answer:

12-3×3-2

12-6-2

12-11

1

After the elves had hung 25% of the ornaments on the North Pole tree, there
were 480 more ornaments to hang. How many ornaments were in the box to
begin with?

Answers

Answer:

640

Step-by-step explanation:

x = total amount of ornaments

480 = 0.75x

(480 is 7 percent of the ornaments after you hang 2 percent of them)

x = 640

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?

x = –1 and x =

Answers

Answer:

x=3

Step-by-step explanation:

factoring

set to 0

Brainliest if correct What kind of coin is coin B And coin C

Answers

Answer:

coin B

Better Date 2000 American Silver Eagle 1 Troy Oz .999 Fine Silver BU Unc

Coin C

1923 United Kingdom Great Britain GEORGE V Silver Florin 2 Shillings Coin i63027

you can get those coins from ebay

A group hiked 3 7/10 miles on the Blue Trail and then 4 3/4 miles on the White Trail. What is the total distance the group hiked?

Answers

Answer:

8 9/20

Step-by-step explanation:

Just add them which would give you 169/20 and then simplify it which would be 8 9/20.

Jabari drives 20.4 miles in 17 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Jabari's average speed exceed the speed limit?

Answers

Jabari's average speed exceed the speed limit by 17 miles per hour

Given:

Total distance = 20.4 miles

Time taken = 17 minutes

convert minutes to hour

60 minutes = 1 hour

17 minutes = 0.283333 hour

Average speed = Total distance ÷ Time taken

= 20.4 ÷ 0.283333

= 72.00008470598200

Approximately, 72 miles per hour

Speed limit = 55 miles per hour

Exceeded speed limit = 72 - 55

= 17 miles per hour

Therefore, Jabari's average speed exceed the speed limit by 17 miles per hour

Learn more about average speed:

https://brainly.com/question/4931057

florida sales tax is 7%. How much money comes out of your pocket if u buy something for $100

Answers

Answer:

$7

Step-by-step explanation:

If you use "Is over of" the equation will be ?/100*7/100, therefore after simplifying your answer is $7

Brainliest would be appreciated! :-)

The answer you are looking for the Florida tax for $100 is 7$

7 x [(7 + 7) = 7
Help plz

Answers

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

7 x (7+7)=7

7x [(14)]=7

x=

[tex] x = \frac{1}{14} [/tex]

Please help!! Thank you!!!!

Answers

Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Sec one on your computer

How can areas of composite 2-D figures be found using simple 2-D shapes?

Answers

Answer:

hmm length x breadth... I'd simple formula

(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?



2
3
4
5

Answers

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

help pls and thank you​

Answers

Answer:

A. $10

Step-by-step explanation:

They make $10 profit an hour.

Select the best estimate for the quotient.75.1÷9=

Answers

Answer:

8.3 44444 is the answer

Step-by-step explanation:

is -74.58 an integer

Answers

yes it is. goodluck!

A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?

Answers

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

The US average life expectancy at birth is 79.1 years. The National Sleep Foundation guidelines
recommend that adults (age 18 and up) should get 7.5 hours of sleep per night.
a) Assuming there are 365.25 days in one year, how many minutes of sleep does the person of
average life expectancy get during their adult years?
b) How many hours is this person awake during their adult years?

Answers

Answer: It depends on how many years a person lives.

Step-by-step explanation:

The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.

Answers

Answer:

See image

Step-by-step explanation:

Let w=width

And let l=length

Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.

Step-by-step explanation:

let the width of the rectangle=x

the length=x+2.3

Since perimeter=28.6

We know that perimeter of a rectangle is given by

P=2(l+w)

28.6=2(x+2.3+x)

28.6=2(2x+2.3)

28.6=4x+4.6

28.6-4.6=4x

4x=24

x=24/4=6

Therefore width is 6inches and length is 8.3inches

Solve the inequality and graph the solution.
j/4>2

Answers

Answer:

J=8

Step-by-step explanation:

Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8

sorry if im incorect

Consider the sequence: -7, -2, 3, 8…. What is f(7)?

Answers

You are adding by 5 in the sequence.
If f(1) is -7
f(2) = -2
f(3)= 3
f(4)=8
f(5)=13
f(6)=18
Therefore, f(7)=23

The diameter of a circle fits around the circle ______ times.

Answers

Answer:

it fits around [tex]\pi[/tex] times which is approximately 3 times

Step-by-step explanation:

[tex]\pi[/tex]

So; 1. Find the sum of 64.2 + 3.4 =_____ Find the difference 514 - 1.72=_____


FOR MY BROTHER TWIN'S

" Please answer this today☺️ " ​

Answers

[tex]64.2 + 3.4 = 67.6 \\ 514 - 1.72 = 512.28[/tex]

PLEASE HELP ME PLEASE

Answers

Answer:

5

Step-by-step explanation:

Pls help my child has no clue and this math is too hard for me to understand!!

Answers

Answer: 160

Step-by-step explanation: The questions says that there are 144 which make up 90% of the total group.

What is the other 10%? To figure this out, we can set up a proportion which we can do in the following way:

144/t = 90/100

From here, you can cross multiply 144 x 100 = 14,400

90t = 14,400

t= 160

You can always check by plugging 160 into t to make sure the proportion is equal. I picked t as my varriable of choice which stands for team members. But you can pick an varriable (letter) to find an unknown.

In practice, is best that your child uses a calculator because in the real world, its a practical handy tool and one doesn't have time to memorize every detail by doing that long division. Once your child gets the hang of practicing setting up proportions, your child can solve a variety of problems without going back in circles.

Hope this explanation helps. Best of luck to you and your child.

13*100 i am tired rn

Answers

Answer: 1300

Step-by-step explanation:

13*10 = 130*10=1300

Answer:

1300

Step-by-step explanation:

same bro I getting paid from doing people homework

Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Other Questions
8. Karen had a balance of $57 in herchecking account. She wrote acheck for $90. What is her newbalance? One way that democracy expanded in the United States in the 1800s wasOA. women were given the right to vote.B. Native Americans were given the right to vote.OC. public education was established in the United States.D. African American men were given the right to vote. WILL GIVE BRAINLIEST HELP ASAP!! WILL ADD 5 STAR RATING !!! ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!! [please put in correct order] I have just a general question,What does it mean when someone says brake check? Like in a text, she said " Brake check! I need to go eat lunch. Brb."I'm confused What is the area of this figure ? if I had 35 books but I wanted 48 and I did have any books to make 48 what do I do? In DNA G pairs with C creating a __________ bond *nosingledoubletriple The world is very different now. For man holds in his mortal hands the power to abolish all forms of human poverty and all forms of human life. And yet the same revolutionary beliefs for which our forebears fought are still at issue around the globethe belief that the rights of man come not from the generosity of the state, but from the hand of God.According to President Kennedy in his Inaugural Address, what does the modern era have in common with the era of the American Revolution?People have the same power to destroy.People have the power to end poverty.Human rights still come from the state.Human rights are still at risk in the world. Which are best practices for adjusting goals to improve fitness?Select all that apply.Focus on one large goal.Focus on one large goal. , ,Regularly monitor your progress.Regularly monitor your progress. , ,Be firm with a goal.Be firm with a goal. , ,Select small, specific goals. Mark each equation with the number that makes it true! Why is the Underground Railroad a source of pride for Vincent Brown? What is the reciprocal of A if A doesn't equal 0? PLEASE I HAVE UNDER 30 MINUTES!!! (No links) [botany] Boll Weevils are an invasive species that has developed resistance to many major pesticides. Evaluate howthis influences the Boll Weevils' success and the options that can be used to control them. F(x, y) = ex + y2, ey + x2 , c consists of the arc of the curve y = cos(x) from ???? 2 , 0 to ???? 2 , 0 and the line segment from ???? 2 , 0 to ???? 2 , 0. where do the last two notes at the bottom go ? What do you want your life to stand for? (How do you want to be remembered?)(this is a writing prompt for a speech pls help 15 points) When J. Edgar Hoover became the Director of the Federal Bureau of Investigation, what significant change did he make with respect to employment policies? He changed his employment contract to assure his position as director was a lifetime appointment. He instituted a strict seniority system that promoted the more senior agents first. He made no changes in employment policies, leaving that task to the attorney general. He instituted a merit-based promotion system that recognized excellence and service over seniority. ito ang itinuturing ni max scheler na pinakamahalagang larangan ng pag-iral ng tao. The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run. Why did they do this