The water park is a popular field trip destination. This year the senior class at high school a and high school b both planned trips there. The senior class at high school a rented filled 4 vans and 14 buses with 742 students. High school b rented and filled 4 vans and 6 buses with 350 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer 1

so let’s start of by setting variables for buses and vans
x = buses
y = vans

our equations will look something like this :

4x + 14y = 742 &’
4x + 6y = 350

let’s solve for y first . we need to cancel out our x’s so we turn on of them into a negative and since both of them have the same common factor we don’t need to find it . let’s multiply the bottom equation by ( -1 )

here’s what our new equations look like :
4x + 14y = 742
-4x - 6y = -350

now that our x’s are cancelled out we add our y’s and our totals :

14y + ( -6y ) = 8y
742 + ( -350 ) = 392

we want y alone so we divide :

392/8 = 49

y = 49

now we can substitute 49 for y :

4x + 14 ( 49 ) = 742
4x + 6 ( 49 ) = 350

we can multiply those numbers together :

4x + 686 = 742
4x + 294 = 350

now we add downward :

8x + 980 = 1,092

we need x alone so we subtract 980 from both sides :

8x = 112

divide by 8 :

x = 14

now , we can substitute 14 for x and 49 for y to check our work :

4 ( 14 ) + 14 ( 49 ) = 742

742 = 742 ✅

4 ( 14 ) + 6 ( 49 ) = 350

350 = 350 ✅

Related Questions

The Claxtons drove 150 miles in 3 hours and they are continuing to drive at the same rate. Which statements are true? Mark all that apply

a
it will take them 5 hours to drive 200 miles
b
it will take them 8 hours to drive 400 miles
c
it will take them 14 hours to drive 600 miles
d
It will take them 18 hours to drive 900 miles
e
It will take them 1 hour to drive 50 miles

Answers

Answer: To convert the time it takes to travel a certain number of hours, you need to know your ... how many hours it takes to drive a certain number of miles, and you can also ... If you're traveling in a line from point A to point B, determining your average ... often use the words speed and velocity interchangeably, they aren't the same!

Step-by-step explanation:

Answer:

B. it will take them 8 hours to drive 400 miles

D. It will take them 18 hours to drive 900 miles

E. It will take them 1 hour to drive 50 miles

Step-by-step explanation:

First, you solve for how fast there going an hour so in three hours they go 150 so we can divide 150 by 3 and we get 50. That means they go 50 miles in an hour. Then we can multiply 50 by the hours and see if we get the same number on miles.

What is -4 1/6 x 3/5?

Answers

Answer:

Step-by-step explanation:

-5/2 hopefully this helps.

Please help!!! Write a detailed explanation of how you got your answer! Best answer gets brainliest!!! Thank You!

Answers

Positive vibes !!
Just want to let you know you’re worth it

which leaner equation represent the graph

Answers

y= -3x - 2

Step-by-step:
The points graphed are (0,-2) and (-1,1)
We can see that the point goes up by 3 and left by 1. Because the line is in hemispheres 2 and 4 mostly, it is a negative line.

The equation to find the coefficient of the variable x is rise/run. The line rises up three, and runs left negative. This makes that equation 3/-1, or simply -3 when simplified.

To find the term, we have to find where the line crosses the y axis. That’s when the x value of the point is 0. (0,-2) is where the line crosses the x axis, making the term -2.

So, y= -3x - 2

HELP ME PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

Donalds Donut shop

Step-by-step explanation:

There are cheeper because it might be more money but

there is more donuts and it is 0.59 cents per donut at Donald's but it is 0.73 cents per donut at Donut co.

Donald’s donut shop because the price per donut is $0.59 while sunrise donut co. is $0.73 per donut. You can find the price per item by dividing the price by how many items there are. Ex: 5.84/8=0.73

-2(4r - 6) Mathhhhhhhhh pls

Answers

Answer: -8r+12

Step-by-step explanation:

Answer: -8r + 12

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

Explanation:

The outer term -2 is multiplied by each term inside

-2 times 4r = -8r-2 times -6 = 12

Then those results are added to get -8r + 12 as our final answer. We cannot combine these terms because they are not like terms.

I used the distribution property, also known as the distributive property.

That says a*(b-c) = a*b - a*c

In this case, a = -2, b = 4r, and c = 6.

Rewrite the expression in the form 5^n

(5^-8) (5^-10)

Please help :)

Answers

You re write the expression by using the negative exponent 1/5.18 or 10-13

I’m not sure but you have to rewrite it as like 1/5

How can Diego package all the 48 brownies and 64 cookies so that each bag has the same combination of items? How many bags can he make, and how many of each will be in each bag? Find all the possible ways to package both items.

I don't know how to do this, can someone please walk me through the process and help with the answer(s)?

Answers

You need to make sure that each bag has the combination of items and they want you to list as many ways as you can think of on how to solve this. One way is:
Divide 48(brownies) by 2, you get 24, and if you divide 64(cookies) by 2, you get 32. So you will need 2 boxes ( since we divided both the numbers by 2 ) and each box will have 24 brownies and 32 cookies in each.
2nd way:
Divide 48( brownies) and 64(cookies) by 4, and you will get 12(brownies) and 16(cookies), so you will need 4 boxes with 12 brownies and 16 cookies in each since we divided the numbers by 4.
So basically, you can keep doing this until no more numbers equal to 48 or 64 when you divide them. And the number you divide them with is how many boxes you will need. Hope this helps.

HELP PLS HELP MEEEEEEEEEEE PLEASE
The Davis family traveled to Silver Lake in five hours. Their return trip took StartFraction 7 Over 8 EndFraction of the time it took to travel to the lake. How long did the return trip take?
4 and StartFraction 1 Over 8 EndFraction hours
4 and StartFraction 3 Over 8 EndFraction hours
5 and StartFraction 5 Over 7 EndFraction hours
5 and StartFraction 7 Over 8 EndFraction hours

Answers

Answer:

4⅜ hours

Step-by-step explanation:

Hope this helps

Answer:

4⅜ hours

Step-by-step explanation:

Please help me I will give you the brain thing and extra points (image below) 1/5

Answers

Answer:

Step-by-step explanation:

A is the only answer with a correct slope

well you dont need to know anything about special triangles

You just need to know rise over run

for example when you wake up, do you run or rise first, rise first.

so Q is the only one rising so it should be the numerator, the others are putting run first.

the answer is A hope this helps

Write an addition expression using integers to describe this situation. Then find the sum.

Roger owes his mom $5. He borrows another $6 from her.

Answers

Answer:

-5+6=

Sep-by-step explanation:

you dont have to do all 10 but if you do I will give briniest and 5 stars

Answers

1. -2
2. 5
3.-15
4.-5
5. 5
6.-9
7. 2
8. -9
9.9
10.-3

You can read 1/10 of your book in 1/2 hour. How much of the book can you read in 1 hour?

Answers

Answer:

Then you read none

Step-by-step explanation:

18383

What point is 9 units right and 3 units up from point (3,4)?

Answers

Answer: (6,12)

Step-by-step explanation:

3+3=6

4+9=12

Answer:

(12,7)

Step-by-step explanation:

9+3&3+4

it costs $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lbs of walnuts?

Answers

Answer:

$6.75 I THINK

Step-by-step explanation:

I struggled to figure this out and I'm pretty sure its $6.75 but im not sure :(

I think 6.45 too
:)

The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose?
15

5

16

4

Answers

They lost 4 games :) hope this helps

Answer:

your answer should be 4 games!

Step-by-step explanation:

First picture is just information second picture please answer I will mark brainliest

Answers

Answer:

2329

Step-by-step explanation:

Answer:

2329 cups are left at the end of the week

Step-by-step explanation:

David went for a run in his town.
• He ran from his house to the school, which is 1.2 miles.
• Then he ran 3 laps around the school track. Each lap is 0.25 miles.
• Then he ran halfway to the gas station. The distance from the school track to the gas station is 2.68 miles
Finally he ran straight home, which is 0.49 miles.
What is the total distance David ran?

Answers

1.2 plus .75 plus 1.34 plus .49 which is 3.78

Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include your units

Answers

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

V = lwh

V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

V = (2π/3)r³

V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

total volume = (prism volume) + (hemisphere volume)

V = 200 cm³ + 18π cm³

V ≈ 256.549 cm³

Step-by-step explanation:

Help please!
solve the system of equations using elimination.
X-Y=3
2x+2y=50

Answers

Answer:

abcdefg

Step-by-step explanation:

Answer:

x = 14

y = 11

Step-by-step explanation:

x - y = 3

2x + 2y = 50

multiplty x - y = 3 by two so we can get an equal value

2x - 2y = 6

2x + 2y = 50

-2y and 2y can be cancled out. That means we don't need to change any signs and we can add everything exept 2y and -2y becuase they will be cancled out.

4x = 56

Divide each side by 4 to leave x alone.

x = 14

Now that we know the x value, take one of the equations in the question and plug it in. I am going to use the equation x - y = 3 to make it easier.

14 - y = 3

-y = 3 - 14

-y = -11

y = 11

Now we know that y = 11.

I hope this helps!

A business owner bought a product for $20. The business owner sold the product for $32. By what percent was the product marked up?

Answers

Answer:

60%

Step-by-step explanation:

Answers: 60%

Explaination: You divide 32 by 20 get 1.6

What is the product of 0.875 × (-16) × (-7) × (-0.0714) in fraction form simplified

Answers

ummm i got -17493/2500, i have a feeling that’s a bit off but you could try it, i hope this helps

Please help me I will give you the briain thing and extra points. (image below) 7/13

Answers

Answer:

it is B because the numbers are repeating on the y axis

Tristan is selling plastic and wooden picture frames. He sells 7 frames total. The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames. How many of each type of frame does Tristan sell?

Answers

Answer:

4 wooden and 3 plastic

Step-by-step explanation:

4 (wooden) × 2 - 5 = 3 plastic

3 (plastic) + 4 (wooden) = 7 total

The number of plastic frames is 4 and the number of wooden frames is 3.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given statement:

The number of plastic frames Tristan sells is 5 less than twice the number of wooden frames.

The total number of frames sold by Tristan is 7.

Write the equation for the above statement,

p = 2w - 5

Here, p is a plastic frame and w is a wooden frame,

p + w = 7

Solve the equation by using the elimination method,

p = 4 and w = 3

Therefore, the number of plastic frames is 4 and the number of wooden frames is 3.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

on a map the distance between New york and philadelphia is 10.25 inches. if 2 inches equals 16 miles, what is approximate distance between the two cities

Answers

It should be 82 miles

can you help me, please? I really need help.

Answers

2
3
4
:)))))))))))))))))

Use the distributive property to write an equivalent expression for 2(x + 6)

Answers

Answer:

2x + 12

Step-by-step explanation:

Multiply 2 by everything inside of the parentheses

Answer:

2x+12

st it's glitching but there is e

I need help with my math problem..

Answers

Answer:

5 1/3

Step-by-step explanation:

i did 2/15 x 40 minutes

I believe 5 1/3 hope this can help!

-6(1-3h) please help thank you so much

Answers

-6+18h is the simplest form

Answer:

-6+18h

Step-by-step:

-6(1-3h)

use distributed property

-6 + 18h

−15x−40=23−8x
What does x =

Answers

Answer:

x = -9

Step-by-step explanation:

-15x - 40 = 23 - 8x

Add 8x to both sides

-15x + 8x - 40 = 23

-7x - 40 = 23

Add 40 to both sides

- 7x = 23 + 40

-7x = 63

Divide both sides by (-7)

x = 63/-7

x = -9

Answer:

x = -9

Step-by-step explanation:

-15x - 40 = 23 - 8x

add 8x to both sides to bring -8x to the left side

-15x + 8x - 40 = 23

add 40 to both sides to bring -40 to the right side

-15x + 8x = 23 + 40

add the common terms

-7x = 63

for x to be alone divide -7 to both sides

x = -9

I hope this helped!

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