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

PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm

Answers

Answer:

i think E.942 cm³ is answer

Volume = πr²h

so

3.14×5×5×12

= 942 cm²

Solution set for the equation x^2-6x+10=0

Answers

Answer:

3+2i, 3-2i

Step-by-step explanation:

no rational solutions

if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2

Help help math math help help

Answers

Answer:

102 degrees below horizontal

Step-by-step explanation:

if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it

because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78

180-78 = 102

another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees

Answer:

102

Step-by-step explanation:

Mrs. terrance has a large bin of 236 crayons. She divides them equally among four containers.

Answers

236 / 4=59 hoped this helped

(2a+15ab)-(7a+6b-10ab)

Answers

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

Si mi hermano gana 589 pesos diarios si ha trabajado 15 días de este mes ¿cuánto dinero ha ganado?

Answers

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:

[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]

[tex]x = 8835\,\$[/tex]

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809

7. at + b = ar – c
Solve for a

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkk

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

4/5 = 8/10

Step-by-step explanation:

x/5 = 8/10

x = 8/10 × 5

x = 4

Factorise it

(x + 2y)² – (x – 2y)²
​​

Answers

[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]

Can someone help me on this math problem please

Answers

Answer:

  CPCTC

Step-by-step explanation:

In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)

When a segment divides an angle into two congruent parts, it is an angle bisector.

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

A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.

Answers

Answer:

Average total cost per class is 13.5

Step-by-step explanation:

A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.

Yearly charge = 150 $

Charge per class = 12 $

A studio member takes 100 classes per year

Number of class attended by studio member = 100

We need to find average total cost per class for this member for a year.

Total charge = Yearly charge + Number of class attended x Charge per class

Total charge = 150 + 100 x 12

Total charge = 150 + 1200

Total charge = 1350 $

\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}

Average total cost per class =

Number of class attended by studio member

Total charge

Average total cost per class =

100

1350

=13.5$

Average total cost per class = 13.5 $

Study hard

Brainliest please thank you!

Answer:

1,530

Step-by-step explanation:

Total charge = 180 + 75 x 18

Total charge = 150 + 1,350

Total charge = 1,530 $

72.18 into like fraction

Answers

step by step explanation

Write 72.18 as=

[tex]Write 72.18 as = \frac {72.18}{1} [/tex]

Multiply both numerator and denominator by 10 for every number after the decimal point

[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]

Reducing the fraction gives

[tex] \frac{3609}{50} [/tex]

Approximately what portion of the box is shaded blue?

A.2/3. B.9/10
C.3/5

Answers

the answer should be b 9/10

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

Q.

x ÷ 2 = 1.000.000.000
x = ?​

Answers

x÷2=1.000.000.000

x=1.000.000.000×2

x=2.000.000.000

Check:

2.000.000.000÷2=1.000.000.000

♪Answer :

let's find the value of x

x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000

What do we call these types of fractions?

1/2 and 5/10

Answers

This are fractions because they are not mixed fraction by the way those two are 0.5

Answer:

Proper Fractions.

Step-by-step explanation:

These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).

I need help asap! Pls :)

Answers

Answer:

x = 18

Step-by-step explanation:

What is the range if this function ?

Answers

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

If the food bill is $38.92, then what would the tip be if you want to leave a tip of 15%?

Answers

Answer:

$5.84

Step-by-step explanation:

A) assuming the car is traveling at a constant speed, at what rate is the car traveling?

Answers

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter​

Answers

How much is the shelter?

What is the exponential expression for the numerical expression 6·6·6·6·6? ​ 5·6^5​ 5^6. ​6^5. 30^5​



32 POINTS

Answers

The answer should be 6^5

1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.

Answers

100
If you round 1256 to 1300 and then divide it by 13 you get about 100

Which graph is generated by this table of values?
PLS HURRY




Answers

Use two points to find the slope

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.

The graph below represents data that was collected by students on the number of social media posts they made the previous day. What's the greatest number of posts a student made?

Answers

From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

The lowest number of posts a student made is 0 (3 students made 0 posts).The greatest number of posts a student made is 10 (2 students made the greatest number of posts).The number of posts made by most students is 7 (6 students made 7 posts).

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Learn more about graphs on:

https://brainly.com/question/2962546

John made 357$ for 17 hours of work.
At the same rate, how many hours would he have to work to make $237???

Answers

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

Which angle is complementary to <1?

Answers

Answer:

I don't know sorry but have a nice time answering this question

Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?

A.
5
6
miles per hour

Answers

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.

Answers

Answer:

The first option

Step-by-step explanation:

We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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