3) Yellow Stone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class of High School B both planned trips there. The senior class at High
School A rented and filled 4 vans and 2 buses with 142 students. High School B rented and filled 2
vans and 4 buses with 206 students. Every van had the same number of students in it as did the
buses. Find the number of students in each van and in each bus.

Answers

Answer 1

Answer:

Find the number of students in each van and in each bus?

13 students can fit in van and 45 students can fit in bus

3) Yellow Stone National Park Is A Popular Field Trip Destination. This Year The Senior Class At HighSchool
Answer 2

There were 13 students in each van and 45 students in each bus for both High School A and High School B.

Let's assume that the number of students in each van is "v" and the number of students in each bus is "b".

From the information given, we can form the following equations:

Equation 1: 4v + 2b = 142 (High School A)

Equation 2: 2v + 4b = 206 (High School B)

We can start by multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate the "b" variable:

2 * Equation 1: 8v + 4b = 284

4 * Equation 2: 8v + 16b = 824

Now, we subtract Equation 1 from Equation 2:

(8v + 16b) - (8v + 4b) = 824 - 284

12b = 540

b = 540 / 12

b = 45

Substitute the value of "b" back into Equation 1:

4v + 2(45) = 142

4v + 90 = 142

4v = 142 - 90

4v = 52

v = 52 / 4

v = 13

Therefore, there were 13 students in each van and 45 students in each bus for both High School A and High School B.

Learn more about the equation here:

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Related Questions

A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats in 10 seconds .Write an equation for h, the number of times Noah’s heart beats (at this rate) in m minutes.

Answers

Answer:

Step-by-step explanation:

48h = m

Answer:

80

Step-by-step explanation:

what is the simplified form of the expressions?

a. -6a^2b^-1

b. 5/y^-3

Answers

Answer:

option a

hope this helped.

find the coordinates of the centroid. A(-7,-4) B( -3, 5) C (1, -4)

Answers

Umm can you plz provide an image so I may answer the question

Kristin bakes a chocolate cake. After a few days, half of the cake has been eaten. Kristin wants to split what is left of the cake equally among 4 people.

Answers

Answer:

1/8 of the cake goes to each person

Step-by-step explanation:

Answer:

Each person will get 1/4 of the part that is left. Out of the whole cake each person got 1/8 of the cake.

Not sure if this is the answer you were looking for...the question wasn't stated.

At summer camp, there are 3 boys for every 4 girls. If there are 63 boys & girls at camp, how many boys are there?​

Answers

Answer:

turn it into an equation

since the total number of students is 63 and for every 3 boys are 4 girls

3x + 4x = 63

7x = 63

x = 63/7

x= 9

to get the number of boys

3 x 9 = 27

therefore the number of boys is 27

2×3+4-5
please help ​

Answers

Step-by-step explanation:

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

first multiply:

2×3=6

6+4-5

Now add

6+4=10

Now subtract

10-5=5

5 is the answer

I hope this helped! :)

SOLVING STEPS...

FIRST CALCULATE 2 × 3

SO IT'S 6

NOW THE FORM IS

[tex]6 + 4 - 5[/tex]

CALCULATE THE SUM OF DIFFERENCE

SO THE ANSWER IS

[tex]5[/tex]

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Find the exact value of 0 tan165 using the appropriate identity formula. Rationalize denominator if needed.

Answers

Answer:

[tex]tan165^0 = -2 + \sqrt{3}[/tex]

Step-by-step explanation:

Given;

tan165⁰

165⁰ is in the second quadrant, and sine is positive in this quadrant, thus tan will be negative.

In second quadrant, tanθ = -tan(180 - θ)

tan165⁰ = -tan(180-165)

tan165⁰ = -tan15⁰

[tex]- tan15^0 = -tan(60 - 45)\\\\ tan(\alpha - \beta) = \frac{tan \alpha -\ tan \beta}{1 + tan \alpha tan \beta}\\\\ -tan(60 - 45) = -(\frac{tan 60 - tan 45}{1+tan60tan45} )\\\\ -(\frac{tan 60 - tan 45}{1+tan60tan45} )= -(\frac{\sqrt{3} \ - 1}{1+ \ \sqrt{3} } ) = \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} }\\\\\frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} } =( \frac{1 \ -\sqrt{3} }{1+ \ \sqrt{3} })(\frac{1 - \ \sqrt{3}}{1 - \ \sqrt{3}} ) = \frac{1-\sqrt{3} -\sqrt{3} \ +\ 3 }{1\ -\ 3} = \frac{4-2\sqrt{3} }{-2}[/tex]

[tex]\frac{4-2\sqrt{3} }{-2} = -2 + \sqrt{3}[/tex]

Therefore, [tex]tan165^0 = -2 + \sqrt{3}[/tex]

Answer:

- sqrt(7-4sqrt(3)) = -0.26794

tan165º = -0.26794

Step-by-step explanation:

On EDG

The sum of two integers is 31. The larger of the two integers is

4 more than 2 times the smaller integer. What are the integers?

Answers

Answer:

The integers are  9 and 22

Step-by-step explanation:

Step one:

given data

let the smaller integer be x

and the bigger be y

x+y=31-----------1

so

y=(2x+4)

Step two:

put y=(2x+4 in equation 1 we have

x+2x+4=31

3x+4=31

3x=31-4

3x=27

divide both sides by 3

x=27/3

x=9

the smaller integer is 9

the bigger is 2(9)+4= 18+4=22

the 6th term of a GP is 2000. Find its first term if it's common ratio is 10​

Answers

Answer:

0.02 or 1/50...AR n-1..... so A is the unknown

Carissa's Nursery buys plants for $10. She marks them up 20%. What is the selling price?

Answers

Answer:

$12

Step-by-step explanation:

The answer is 12 because 20% of 10 is 2 and 10 plus 2 is 12

The correct answer is 12 if you know the percentage of how much it would be off and what’s left it will help you :D

A recipe for making paste calls for a ratio of flour to water of 4:2. If you only have 2 cups of flour, how much water should you put in? Explain how you know.

Answers

Answer:

1 Cup of Water

Step-by-step explanation:

Well, this is pretty simple.

This questions topic is known as Equivalent Ratios.

To find an equivalent ratio, add or divide the numbers by the same amount.

Let's do it together.

4:2 is the ratio we already have. If we have to make it have 2 cups of flour, let's divide 2 on both sides.

Since 4 divided by 2 is 2, and 2 divided by 2 is 1,

We can confirm that you would need to put in 1 cup of water.

Answer:

fuxudificldid7dici hahahaahahha

What's 2x1 1/4x1 1/2
I need this answer

Answers

the answer would be 3.75

Answer:

As a decimal it's 3.75 and as a fraction it's 3/80

Hopefully that helped :)

Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Answers

Answer:

Undefined

Step-by-step explanation:

Slope of the line

[tex] = \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined[/tex]

I need help please I would much appreciate someone’s help I only need help with the last section not 1 through 6 the bottom part.​

Answers

Answer:

#5: 60

#6:55

#7:70

#8:55

11.81

Step-by-step explanation:

#5

∠CFD=60 (all the angles in an equilateral triangle are 60)

#6

∠AFD=150=∠AFB+∠BFC+∠CFD

∴150=∠AFB+35+60

∴∠AFB=55

#7

An isosceles triangle has one unique vertex angle and two equal base angles. All the angles in a triangle add up to 180. We know the base angles (55), so:

180 = ∠ABF + 2(55)

∴∠ABF = 70

#8

∠A=∠AFB = 55 (base angles of an isosceles triangle)

11. An isosceles triangle has one unique vertex angle and two equal base angles. All the angles in a triangle add up to 180. Vertex angle is 18, so the sum of both bases is 180-18=162. Therefore, each base angle is 81.

Eight less than half of a number is 52”. Check the solution.

Answers

x/2 - 8 = 52
x/2 = 60
x = 120

Explain how you can find any power of 1

Answers

Answer:

It's just the number that is to the first power

Step-by-step explanation:

A cube has a volume of 216 cubic inches, and another cube has a volume of 729 cubic inches. What is the ratio of the surface area of the larger cube to the surface area of the smaller cube?

Answers

Answer:

Ratio is [tex]\frac{9}{6}[/tex]

You can simplify it of course to 3/2

Step-by-step explanation:

Volume of a cube is V = length^3 or l^3

Volume for larger cube = 729 cubic inches

Volume for smaller cube = 216 cubic inches

Surface area is S = 6*l^2

So we just need to find the length of each side of the cube.

We take the cube root for each cube volume since there are three sides.

Larger cube = 729^(1/3) = 9

smaller cube = 216^(1/3) = 6

Ratio is [tex]\frac{9}{6}[/tex]

D + 7/-3 = 4 solve d

Answers

Answer:

d= 5/3

d=1.6

d=1 2/3

i hope this helps

Step-by-step explanation:

I need help please ​

Answers

Answer:

D

Step-by-step explanation:

0 is in the middle and 2 will be at the left and 3 at the right.

Brain Builders
6. Marcus counts 24 children playing.
6 play ball. 5 play tag. How many
children are not playing ball or tag?
children

Answers

Answer:

13 children

Step-by-step explanation:

What I did first is ad 6 and 5(which is 11). What I did next is subtract 11 from 24 (which is 13) Please vote brainliest need it to rank up

Cumulative interest payment excel

Answers

Answer:

What is the question here?

put the question in the replies of this answer and I'll help you.

May I have brainliest please? :)

whats 10/14 in short decimal form ? ​

Answers

[tex] = > \frac{10}{14} \\ [/tex]

[tex] = > \frac{5}{7} \\ [/tex]

[tex] = > 0.71428[/tex]

it would be 0.71428.

Graph the inequality on the axes below.
x + 2y > 2

Answers

Answer:

can you like give options or?-

Step-by-step explanation:

There are 15 pieces of fruit in a fruit bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples

Answers

Answer: 40%
Explanation: when finding a percentage of a test u usually divide the answers correct and the answers in total, so if u put it that way u divide 6 by 15 which gives u 40% and 60% is left meaning ( 9 of another thing )

Answer:

40%

Step-by-step explanation:

6x100=600/15=40

Can someone help me solve multiple step equations? For example (7t - 2) - (-3t + 1) = -3(1 - 3t)

Answers

Answer:

t = 0

Step-by-step explanation:

(7t - 2) - (-3t + 1) = -3(1 - 3t)

because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally

[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]

will be

7t - 2 + 3t - 1 = -3 + 9t

add like terms

10t - 3 = -3 + 9t

subtract 9t from both sides

t - 3 = -3

add 3 to both sides

t = 0

Jeremiah is saving money from a tutoring job. After the first three weeks, he saved $135. Assume the situation is proportional. Use the unit rate to write an equation relating the amount saved s to the number of weeks w worked. At this rate, how much will Jeremiah save for eight weeks? *

Answers

Answer:

After the first 3 weeks Jeremiah saved $135. If the situation is proportional:

$135 : 3 = $ 45. It means that he can save $45 for one week.

Therefore an equation is:

s = 45 * w,

where s is the amount saved and w is the number of weeks.

After 8 weeks :

s = 45 * 8 = $360.

Step-by-step explanation:

A company makes Citi bikes. 95% (i.e., 0.95) pass final inspection. Suppose that 5 bikes are randomly selected.
a. What is the probability that exactly 4 of these 5 sports bikes pass final inspection?
b. What is the probability that less than 3 of these 5 sports bikes pass final inspection?

Answers

Using the binomial distribution, it is found that the probabilities are given as follows:

a) 0.2036 = 20.36%.

b) 0.0011 = 0.11%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, the parameters are given as follows:

p = 0.95, n = 5.

Item a:

The probability is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.95)^{4}.(0.05)^{1} = 0.2036[/tex]

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} \approx 0[/tex]

[tex]P(X = 1) = C_{5,1}.(0.95)^{1}.(0.05)^{4} \approx 0[/tex]

[tex]P(X = 2) = C_{5,2}.(0.95)^{2}.(0.05)^{3} = 0.0011[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0011 = 0.0011.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Amber and Will are in line together to buy tickets. Amber moves back by 3 places three times to talk to friends. She then is invited to move 5 places up in line. Will moved back by 4 places twice, and then moved up in line by 3 places. Overall, who moved farther back in line?

Answers

Answer:

Amber

Step-by-step explanation:

Lets pretend they both started at 10

Amber moved back 3 places 3 times, (1), then moved up 5 places (6)

Will moved back 4 spaces twice (2) then moved up 3 places (5)

6 > 5, therefore the answer is Amber

what is 8.05 x 10 to the 5th power in standard notation

Answers

805000.0 • 10^5 ( i think that’s right)

Answer:

0.0000805

Step-by-step explanation:

PLS HELP ASAPPPPP WITH PART B, C, & D PLS PLS

Answers

Answer:

Part b would be 4 and c would be 5 and d  would be 19

Step-by-step explanation:

So yea do those

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