The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 12 buses with 504 students. High School B rented and filled 2 vans and 4 buses with 184 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

High school A:  3 vans + 12 buses = 504 students

High school B: 2 vans + 4 buses = 184 students

Multiply High school B by 1.5:

High school B: 3 vans + 6 buses = 276 students

Subtract High school B from High School A:

6 buses = 228 students

Divide students by buses:

Buses = 228 / 6 = 38 students per bus

Now solve for vans using high school A:

3 vans + 12(38 students per bus) = 504 students

Simplify:

3 vans + 456 students in buses = 504 students

Subtract students in buses from both sides:

3 vans = 48

Divide both sides by 3:

Vans = 16

Answer: vans = 16 students, buses = 38 students


Related Questions

A pair of jeans is on sale for 25% off the original price.Which expression represents the sale price?If the original price of jeans is $40, evaluate the expression to find the sale price.

Answers

Answer:

second choice

Step-by-step explanation:

Answer: A or 30

Explanation:
If the original price is 100% then taking away 25% will give you 75%.

75% of 40 = 75/100 x 40 = 30

five friends by a package of 12 cookies and want to share them equally each friend will get 1/5 of the cookies how much will each friend get

Answers

Answer:

2.4 cookies

Step-by-step explanation:

Just divide

Hurry up someone please

Answers

Answer:

x = 19.6

Step-by-step explanation:

If we need to find the value of x then first we need to

(7x-25) + (3x +9) = 180  (angles at the same side of transversal will be equal to 180 degree )

10x -16 = 180

10x = 180 +16

10x = 196

x = 196/10

x = 19.6

can u guys help 100pts

Answers

Answer:

1 line

Step-by-step explanation:

1 line

Answer:

1 line

Step-by-step explanation:

Write an equation of the line perpendicular to y=-3/4x that passes through the point ( 3,-8)

Answers

Answer:

y

=

4

3

x

+

4

3

Step-by-step explanation:

Pa help naman po please​

Answers

Answer:

1. sequence

2. series

3. series

4. sequence

5. sequence

6. series

7. sequence

8. sequence

9. series

10. sequence

Step-by-step explanation:

Hope it helps <3

which of the following situations describes a postive number

Answers

Answer:

B. Going up the elevator 14 floors

Step-by-step explanation:

Choice A can't be right because you are going below sea level (negative).

Choice C can't be correct either because the word "losing" let's you know that it's negative.

Choice D isn't right because if you are taking $20 from your checking account, it would be a negative number.

Hope this helps!

Let y=|x|-2, where the domain is the set of integers from – 4 to 4.
What is the range?

Answers

i dont know i wish I could help.

Answer:

-2 to 2

Step-by-step explanation:

see there's the sign of absolute value around x

so even if we put a negative number in place of x we'll get a positive outcome.

for example,

if x = -4

|x| = 4

if x = -3

|x| = 3

and so on

so the actual domain of |x| reduces to => 0 to 4.

as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.

where the smallest value is 0 and largest is 4.

for range,

I'll just put these smallest and largest values in place of x and solve for domain

at x = 0

y= |0| - 2

y = -2

at x = 4

y = |4| - 2

y= 4 - 2

y = 2

so, the range of the function becomes -2 to 2.

Last year, there were b pies baked for the bake sale. This year, there were 211 pies baked. Using b, write an expression for the total number of pies baked in the two years.

Answers

Answer:

211+b=x

Step-by-step explanation:

(4x – 6) + (5x + 1).

Answers

Answer:

9x - 5

Step-by-step explanation:

(4x – 6) + (5x + 1).

4x - 6 + 5x +1

9x - 5

Have a good day

Answer:

9x - 5

Step-by-step explanation:

To get the this answer you would combine like terms. 4x and 5x are like terms, so you would combine them and get 9x. -6 and 1 are like terms, so you would combine those and get -5.

Plz help me solve this ill award brainly

Answers

Answer:

x = 25 Degrees

Step-by-step explanation:

74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.


Together, two pipes can fill a tank in 3 hours.
One pipe alone can fill the tank in 5 hours.
How long does it take for the other pipe to
fill the tank alone?

Answers

Answer: 7.5 (h)

Step-by-step explanation:

Let say

a the outflow of the first pipe

b the outflow of the second pipe

T the volume of the tank.

x the time for filling with the second pipe

two pipes can fill a tank in 3 hours: a*3+b*3=T

One pipe alone can fill the tank in 5 hours : a*5=T

3*b=T -3a ==> 3b= 5a*3a=2a

b=2a/3

b*x=T ==> 2/3*a*x=T ==> 2/3*T/5*x=T ==> 2/15*x=1

x=15/2 = 7.5 (hours)

Angel got a job at in-n-out burger. He works 20 hours a week and makes $15.75 an hour. How much will his
paycheck be after 2 weeks of work (before uncle sam takes away taxes

Answers

Multiply hours per week by hourly pay rate:

20 x $15.75 = $315.00 per week

Multiply by 2 weeks:

$315 x 2 = $630

After 2 weeks paycheck is $630

Answer:

630

Step-by-step explanation:

15.75 x 20 = 315

315 is how much Angel makes in one week

315 x 2 = 630

630 is how much he will make in two weeks

The 2 signifies how many weeks have been worked

g(x)=x^2-5
g(9)
help!

Answers

You’re given g(x) = x^2 - 5

When asked to find g(9), you’re being told that x=9, since the x in the g(x) was replaced by 9.

So that’s telling you to put 9 in for all x’s:
g(9) = (9)^2 - 5

You then just need to clear up the right hand side.

9^2 - 5 = 81 - 5

= 76

So, g(9) = 76

[tex]f(x)=x^{4} -x^{3} -7x^{2} +10+5x[/tex]
1. write in standard form
2. use Descartes rule of sign
3. possible roots
4. first synthetic division
5. reconsider possible roots
6. second synthetic division
7. quadratic equation
8. solution set

Answers

Nice hfiebeiciysbwjwkdkcoc

John wants to buy strawberries and apples to make a fruit tart. Strawberries cost $3 per pound and apples cost $2.25 per pound. How much does he spend if he buys 0.5 pounds of strawberries and 3 pounds of apples? How much does he spend if he buys xx pounds of strawberries and yy pounds of apples?

Answers

Answer:

he spends $1.5 on strawberries and $6.75 on apples

the perimeter of a rectangular tray is 60in the length of the tray is double the width of a tray determine the dimensions of the rectangular tray​

Answers

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

What is 4=2x as a improper fraction or integer

Answers

Answer:

2/4 or 1/2

Step-by-step explanation:

Divide both sides by 2 and you get x=2/4. You can simplify further by dividing 2 and 4 by 2 to get 1/2

When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?



A. 0
B. 1
C. 2
D. 3

Answers

Answer:

2 repeating digits

How do you solve this?

Answers

Answer:

f(- 10) = 74

Step-by-step explanation:

To find f(- 10) , substitute n = - 10 into f(n) , that is

f(- 10) = - 7(- 10) + 4 = 70 + 4 = 74

Hello there!

We are given a function below:

[tex] \displaystyle \large{f(n) = - 7n + 4}[/tex]

To find f(-10), substitute n = -10.

[tex] \displaystyle \large{f( - 10) = - 7( - 10) + 4}[/tex]

Evaluate the f(-10)

[tex] \displaystyle \large{f( - 10) = 70 + 4}[/tex]

Recall

Negative × Negative = Positive

Therefore,

[tex] \displaystyle \large{f( - 10) = 74}[/tex]

f(-10) = 74

Let me know if you have any questions!

Topic: Functions

11 4/5 + -8 1/3


NO LINKS OR TROLLING

Answers

Answer:

52/15= 3.46

YOUR WELCOME PERSON

Conditionals: photo attached

Answers

Answer:

 if the aninmal is fluffy then it is not an aligator

Step-by-step explanation:

Evaluate.
8 x 8 = 5
+ 3 eights
<
= 40 +
h
RE
=

Answers

Answer:

[tex]8 \times 8 = 5 \: ( \:8 \: ) + 3 \: eights \\ = 40 + 24 \\ = 64[/tex]

I hope I helped you^_^

A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?

Answers

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

What is a square pyramid?

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

(2-6i)(8+i)(9-3i). If u could show me the process that would be great ty <3

Answers

Answer:

(19)(-8i)

Step-by-step explanation:

(2 - 6i)(8 + i)(9 - 3i)

(2 + 8 + 9)(-6i + i - 31)

(19)(-8i)

Hi can you help please :)

Answers

Answer:  5 miles/hour

Step-by-step explanation:  The slope of the line is 5:  every 1 hour adds 5 miles to the distance travelled.

please help!!!!!!!!!!

Answers

Answer:

0.02

Step-by-step explanation:

2% of 3,000 is 60

3,000 x 0.02 = 60

Find the sum without using a number line
-6 1/3 + 3=

Answers

Answer:

-3.33333333333

-3.33 is your answer

hope this helps

please help me with this thank you ​

Answers

hi <3

1) as the value ahead of the tenths position is a 5, you would round up.

this gives you the answer of 1.6

2) as the value ahead of the hundredths position is a 4, you would round down.

this gives you the answer of 1.55

3) as the value ahead of the thousandths position is an eight, you would round up.

this gives you the answer of 1.555

hope this helps :)

Can someone help me it’s due today!

Answers

Answer:

Y is less than or equal to -1, or negative infinity to -1

Step-by-step explanation:

The range is which y values are included. The line extends forever getting lower in y values, and the highest y value is -1. You can either write it as { y | y[tex]\leq[/tex] -1 } or ( -∞, -1]

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