235 people are at a 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:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

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

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

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

In △BCD, H is the centroid. If HF=6 find BF.

Answers

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth

Answers

Answer:

21

Step-by-step explanation:

I believe this because when you add it all together you get 20.77

Please help please help,! :( this is urgent!

Answers

Answer: A

Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A

An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers

Answers

Answer:

the y co-ordinate > 9

Step-by-step explanation:

I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!

Hope this helps!

Multiplying and Dividing Radicals

Simplify the following expressions.

Answers

the answer is 14. your welcome :)

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.

Answers

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Parallel to the line y=-3x + 5 passes through (-4,5)

Answers

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10

Answers

Answer:

The answer is B) 1

Step-by-step explanation:

balls

The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?

Answers

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

(1) Calculate how many times the bacteria divide in eleven hours

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(2) Add the orginial size of bacteria into the equation

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?

Answers

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y

Answers

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

Help I will give brainliest

Answers

C rotation and translation

Please help it would help a lot

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

write an equation of the line with a slope of -3/4 and y-intercept of -6

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer: y = (-3/4)x - 6

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

https://brainly.com/question/17023448

#SPJ2

Answer the two questions below. THANKS!!

Answers

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Helpoooooooooooooooooooo

Answers

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

3
2
Show gred
1
16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
- x2. on
sin - cos - tan-
+ - X + / +
log-e? 10
-
10n
Show less​

Answers

Answer:

The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]

Putting values and finding gradient:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]

So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]

A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP

Answers

Blue can be 1/10 and yellow can be 3/10 or other way around.

If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?

Answers

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]

Answers

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

y=_x+_ what would be the answer​

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.

Answers

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!

Answers



I believe this is the answer if you need it in this order.

Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative

Answers

Answer:

I think that it is negative

Step-by-step explanation:

Find the distance between (6,4) and (-6,-5) by using the distance formula

Answers

Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

Other Questions
Solve the simultaneous equationsx + 6y = 20x + 3y = 14x =Y= If Frassanitos claims are true what do they suggest about gardeners photographs? PLEASE HELP please help im so close to being done :( [BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced? Clear selecticWhat is habitat destruction?O Humans find already cleared forests and decide to build a small villageHumans build up the land after a natural disasterHumans eliminate some wildlife habitats/places where animals liveAL what do you think about the human and his structure how it's made all the human structure 20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h. A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item. Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all? What are the three dimensions of communication? What can you do to develop your listening,nonverbal, and emotional communication skills? 6 to the power 4 simplified If f(x) = 5x - 12, find f(x) when x= - 12Plz answer Read the excerpt from Around the World in Eighty Days by Jules Verne.But the Red Sea Is full of caprice, and often bolsterous, like most long and narrow gulfs. When the wind came from the African or Aslancoast the Mongolia, with her long hull, rolled fearfully. Then the ladies speedily disappeared below; the planos were silent; singing anddancing suddenly ceased. Yet the good ship ploughed straight on, unretarded by wind or wave, towards the straits of Bab-el-Mandeb. Whatwas Phileas Fogg doing all this time? It might be thought that, in his anxiety, he would be constantly watching the changes of the wind, thedisorderly raging of the billows--every chance, In short, which might force the Mongolla to slacken her speed, and thus interrupt hisJourney. But, if he thought of these possibilities, he did not betray the fact by any outward sign.Which choice provides an objective summary of the excerpt?O A. Salling through the Red Sea can be very dangerous due to winds coming from either Africa or Asia. Any passenger on boardwould be wise to go below when storms hit.OB. Salling through the Red Sea, the ship encounters strong winds. Despite the possibility that the storm might slow the ship down,Phileas Fogg appears to be unconcerned.OC. Phileas Fogg is quite calm despite the uncalm Red Sea. Even though the winds are strong, the ship is not slowing down. Thus,he is not concerned about his trip being interrupted.OD The ship hits high winds sailing through the Red Sea. Yet the ship ploughs straight on, neither the wind nor the waves slowingit down. Thus, Phileas Fogg does not worry about the time. Nor far from where you live is a hut where a poor couple with several children live. You overhear one day that the mother wants to have her three younger children vaccinated with antipolio and antibosters. She has no money to spend for this. What will you do? How you will react on the given situation. Helpoooooooooooooooooooo When is the Yolanda Which of these lead (II) salts will dissolve to the greatest extent in water?a. PbSO4, Ksp = 1.7x10^-8b. PbI2, Ksp = 6.5x10^-9c. PbCrO4, Ksp = 1.8x10^-14d. PbS, Ksp = 2.5x10^-27e. Pb3(AsO4)2, Ksp = 4.0x10^-36 Can someone pls help me with this (8th grade science) 7) In the context of the passage, what can the audience assume to be trueabout Widow Douglas?A) She is related to Aunt Polly.B) She does not like Tom Sawyer.C) She is honest and respectable.D) She does not treat the narrator well. . in a level playing field, What is the purpose of each of the notes documenting the sources?