235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?

Answers

Answer 1

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

Answer 2

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20


Related Questions

Change 53/5 from an improper fraction to a mixed number.

Answers

Answer:

10.6

Step-by-step explanation:

53/5

Answer:

[tex]10\frac{3}{5}[/tex]

Step-by-step explanation:

We divide 53 by 5 which we get 10 3/5

Order the following numbers from least to greatest

Answers

Answer:

Step-by-step explanation:

Change all numbers to their decimal form.

37.5 % = 37.5 / 100 = 0.375

1/3 = 0.3333

0.3 = 0.3

40% = 40/100 = 0.4

3/5 = 0.6

Order

0.3

0.33333

0.375

0.4

0.6

Is the square root of 0.49 rational

Answers

Answer:

rational

Best of luck!

In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?

Answers

Answer:

104

Step-by-step explanation:

5/8x. - - - - - - - >. 3/8x

56+x---------------> 24+x

Then solve for x

-3(x+n)=x To solve for x

Answers

Answer:

x = -3n/4

Step-by-step explanation:

Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2

Answers

Answer:

x > 10/7

Step-by-step explanation:

Take LCM and do cross Multiplication. You will get,

24x + 4x + 8 > 48

or, 28x > 40

or, x > (40/28)

This gives, x > 10/7

Solve the inequality 6t>t+6. Enter your answer as an inequality with just t on the left side. For example, if the inequality in the problem were true for all negative t, then you'd enter "t =3".

Answers

Answer:  t > 6/5

In decimal form, this would be t > 1.2

==============================================

Work Shown:

6t > t+6

6t-t > t+6-t ...... subtracting t from both sides

5t > 6

5t/5 > 6/5 .... dividing both sides by 5

t > 6/5

t > 1.2

Plz help 7th grade math

Answers

Answer:

The answer is -11

Step-by-step explanation:

3+(-14) is basically writing out 3-14 which is -11

Answer:

-11

Step-by-step explanation:

3+(−14)

Subtract 3 from 14 to get −11.

−11

ERROR ANALYSIS In Exercises 39 and 40, describe and
correct the error in solving the equation.
identical
shown.
one of th
39.
X
-0.8 + r= 12.6
r= 12.6 +(-0.8)
r= 11.8
40.
X
m
= -4
3•(-5= 3•(-4)
a. W
m= -12
on
b. Th

Answers

Answer:

39. r = 13.4

40. m = 12

Step-by-step explanation:

39. Given the equation, [tex] -0.8 + r = 12.6 [/tex], to solve for r, the following are the correct steps to take to arrive at the solution:

[tex] -0.8 + r = 12.6 [/tex] (given)

Add 0.8 to both sides of the equation (addition property of equality)

[tex] -0.8 + r + 0.8 = 12.6 + 0.8 [/tex] (this is where the error occurred.)

[tex] r = 13.4 [/tex]

40. The correct steps to take in solving the equation, [tex] -\frac{m}{3} = -4 [/tex] is as follows:

[tex] -\frac{m}{3} = -4 [/tex] (given)

Multiply both sides by 3 (multiplication property of equality)

[tex] 3*-\frac{m}{3} = 3*(-4) [/tex]

[tex] -m = -12 [/tex] (this is where the error occurred. This is what we should have at this line/step)

[tex] m = 12 [/tex] (dividing both sides by -1)

x+4.9=7.28 x= what is the answer

Answers

Answer:

2.38

Step-by-step explanation:

subtract 4.9 on both sides

Answer:

x = 2.38

Step-by-step explanation:

x + 4.9 = 7.28

x = 7.28 - 4.9

x = 2.38

PLZ HELP ASPPP PLZ WILL GIVE YOU BRAINLIST

Answers

Answer:

x=(-9)

PQ=2

PR=3

Step-by-step explanation:

my noob has 36 apples he puts 29 in a bag how much he has now

Answers

Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36

Step-by-step explanation:

Answer:

he has noob 7

Step-by-step explanation:

Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.
_____ Friedman test
_____ Kruskal-Wallis H test
_____ Mann-Whitney U test
_____ Wilcoxon Signed-Ranks T test
A. Paired-sample t-test.
B. Independent-sample t-test.
C. One-way ANOVA, independent samples.
D. One-way ANOVA, repeated measures.

Answers

Answer:

A. Paired-sample t-test.   ---   Wilcoxon Signed-Ranks T testB. Independent-sample t-test.   ---  Mann-Whitney U testC. One-way ANOVA, independent samples.   ---   Kruskal-Wallis H testD. One-way ANOVA, repeated measures.  ---   Friedman test

Step-by-step explanation:

The nonparametric statistics is a branch of statistics, that seeks out the population distribution that is either being distributed freely or specifically.  Wilcoxon Signed-Ranks T-test is a hypothesis test used to compare the two or pre related columns that can be matched and maybe a repeated measure on a single sample.The Mann-Whitney U test is a null hypothesis and states the probability of a random sample of X and Y from the population is greater than the X and that Y is greater than X.Kruskal-Wallis H test is a test of one variance analysis and tests that sample originates from the same distribution.The  Friedman test is used to find treatment across multiple tested attempts. It involves the ranking of the rows and then considering the values of the column.

1.1.22
Solve the equation.
17 + 28 = – 5(4x – 9)

Answers

Answer:

No Solution

Step-by-step explanation:

Step 1:

17 + 28 = - 5 ( 4x - 9 )

Step 2:

45 = - 20x + 45

Step 3:

- 20x = 0

Answer:

No Solution

Hope This Helps :)

17+28=-5(4x-9) the answer is x=0

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0

Answers

Answer:

[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]

Where ([tex]x,y,z[/tex]) are the points on sphere.

[tex](a, b, c)[/tex] is the center of the sphere and

[tex]r[/tex] is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Here,

[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]

So, Radius is:

[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]

Therefore the equation of the sphere is:

[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]

How many one-thirds are in one-sixth?

Answers

there are (1/6)/(1/3) one-third in one sixth

Step-by-step explanation:

that means

no. of one-third is 1/2

Answer:

there are 2 one third in one sixth

What value of q makes the equation true? -8=32-5q

Answers

Answer:
8

Explanation:
8 being the value of q would make the equation true as 32 - (5•8) = -8.

Steps:
32 - 5q = -8
-32 -32
————————
-5q = -40
/-5 /-5
————————
q = 8

Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}

Answers

Answer:

a. Line

b. Plane

c. All of R^3

Step-by-step explanation:

In order to answer this question, we need to study the linear independence between the vectors :

1 - A set of three linearly independent vectors in R^3 generates R^3.

2 - A set of two linearly independent vectors in R^3 generates a plane.

3 - A set of one vector in R^3 generates a line.

The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :

a. Let's put the vectors into the rows of a matrix :

[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix  ⇒

[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]

We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).

We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).

At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.

b. Again, let's put the vectors into the rows of a matrix :

[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]

We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).

c. Finally :

[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒

[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]

The set is linearly independent so the set of all linear combination of the set c. is all of R^3.

The length of a rectangle is twice the width. The area is 72 yd^2. Find the length and the width.

Answers

Answer:

The length is 12yd and the width is 6yd.

Step-by-step explanation:

what is 765,903 rounded to nearest hundred thousand

Answers

Answer:

800,000

Step-by-step explanation:

The numbers are above 5 making it round up not down

Geometry. Answer the question in the photo.

Answers

Answer:

5

Step-by-step explanation:

Since, A, B, C, D are collinear.

[tex] \implies A - B - C - D \\

\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]

Use the general slicing method to find the volume of the solid whose base is the triangle with vertices (0,0), (7,0), and (0,7) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
(need exact answer in terms of pi).

Answers

Answer:

The answer is "[tex]\bold{\frac{343 \ \pi}{24} \ \text{cubic units}}[/tex]"

Step-by-step explanation:

The volume of the mass whose cross-sectional area has been perpendicular is usually sliced by the method The cross-section, which is based to parallel to y-axis;  

[tex]V = \int_{a}^{b} A (x)dx[/tex]

The semi-circular segment of the strong and seems to be perpendicular to foundation and  

Y-axis parallel.  

Its cross-section does have a diameter of: [tex](7-x)[/tex].  

It also transverse radius is: [tex]\frac{1}{2}(7-x)[/tex].  

The semi-circular segment area is,

[tex]Formula: \\\\ A(x)=\frac{1}{2} \times \pi \times r^2[/tex]

        [tex]=\frac{1}{2} \times \pi \times (\frac{(7-x)}{2})^2\\\\=\frac{1}{2} \times \pi \times (\frac{(7-x)^2}{4})\\\\=\frac{1}{8}\pi(7-x)^2\\[/tex]

when

[tex]0 \leq \ x \ \leq 7[/tex]

Calculating the volume from the solid accordingly:

[tex]V= \int_{0}^{7}\frac{1}{8} \times\pi \times (7-x)^2 dx[/tex]

   [tex]= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\[/tex]

Which of the following graphs show a proportional relationship?
Choose all answers that apply:

Answers

Answer:

Which of the following graphs show a proportional relationship?

Choose all answers that apply:

The answer is A.

Using the proportional relationship concept, the graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

What is proportional relationship?

"If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate."

In a proportional relationship, two quantities vary directly with each other.

We can represent relationships in several ways:

1. An equation in the form of y = kx , where k is the constant of proportionality or unit rate.

2. A graph of a straight line that passes through the origin.

3. A set or table of ordered pairs that show equivalent ratios.

4. A verbal description that describes a describe proportional relationship between two quantities.

Explanation for correct option:

According to the given options

The graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

Explanation for other options:

In option(B),

The graph of a straight line does not passes through the origin.

So, option (B) is not correct

In option(C),

Graph is not given

So, it is also not correct

Hence, the graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

Learn more about proportional relationship here

https://brainly.com/question/8879344

#SPJ2

line that is perpendicular to 3y=5x-1

Answers

Answer:

Step-by-step explanation:

3y = 5x - 1

y = 5/3x - 1/3

perpendicular slope is -3/5

The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%

Answers

Answer:

  34.5%

Step-by-step explanation:

If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.

In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.

_____

Additional comment

When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.

Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?

Answers

4 1/2 - 3 1/4 = 1 1/4 cups

1 1/4 cups / 1/4 = 5

Therefore he has enough oats to feed Coco for 5 days. Hope that helps!

Answer:

5

Step-by-step explanation:

You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.

Stefan has 4

1

2

cups of oats, and he uses 3

1

4

cups to make granola bars.

Start by writing 4

1

2

with a denominator of 4. Then both fractions will have the same denominator.

4

1

2

=4

2

4

Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.

4

2

4

–3

1

4

=1

1

4

Stefan has 1

1  

4

cups of oats left.

I need help with 25. 26. And 27 plz I don’t know how

Answers

Answer:

25. 8ft

26. 3m

27. 7cm

Step-by-step explanation:

Because it says each is an area of a sqare the square root will give you the side length

What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7

Answers

Answer:

358 u literally just waited your time u could have used a calculator

Step-by-step explanation:

Answer:

Quotient = 358

Remainder = 3

Solve the equation.
5x + 8 - 3x = -10
x = -9
X = -1
x = 1
X = 9
Cand​

Answers

Here is how I solved it and the answer
A x=-9

Its the Right Answer on the Test. Hopes This Helps.

Thank You

How much discount is received on an item with a marked price of Rs 500 if the discount rate is 3%? * Rs 50 Rs 15 Rs 25 Rs 5

Answers

Answer:

Rs.15

Step-by-step explanation:

3% = 3/100 × 500 = 15

Other Questions
Keira wishes to record a song in the comfort of her home. She has a computer and a guitar. Which other device does she need to record her song? What does it mean when we say matter is cycles in an ecosystem What is the rate of 3.5 hours:$10 What type of sedimentary rock do you think would form the best fossils Im so stuck on this , can someone please help ? I need to find f(-2) in this graph however I don't know please help me Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x+8= x+8= \,\,8+x 8+x Which type of microscopes was developed most recently? scanning tunneling microscope electron microscope fluorescence microscope light-based microscope Need help :)! Why do prokaryotic cells usually reproduce more quickly than eukaryotic cells? Choose 1 answer: (Choice A) A Eukaryotic cells are more structurally complex than prokaryotic cells. (Choice B) B Eukaryotic cells have less DNA than prokaryotic cells. (Choice C) C Eukaryotic cells have more cell walls than prokaryotic cells. (Choice D) D Eukaryotic cells are smaller than prokaryotic cells. In Passage 1, refer to the paragraph that beginsand ends on pages 2-3. What do the statementsabout Sir Lancelot suggest about him? What __ you __ (do) next year? 16 squared with explanation. if heat is transferred from gas which could happen Scientists can identify cells by categorizing the different features of a cell by noting down the shape, color, and other physical features. This aspect of science is known as_________ Observation Inference Hypothesis Controlled Experiment What is 7m + 3mn when m=8 and n=14 I need answers now 18=3(3x-6) multi step equation The Assembly in ancient Greece and Congress in the United States areboth examples of a Which polymer is incorrectly matched with its monomer? * Lipid - carbohydrates Polysaccharide - monosaccharides Nucleic acid - nucleotides Protein - amino acids im so comfused please help I am horrible at algebra its just not made for me to understand