The state fair 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 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
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:

8 students in a van and 22 in a bus

Step-by-step explanation:

lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22


Related Questions

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

f(x)=14−0.5xf, left parenthesis, x, right parenthesis, equals, 14, minus, 0, point, 5, x
f(30)=f(30)=f, left parenthesis, 30, right parenthesis, equals

Answers

Answer:

-1

Step-by-step explanation:

The value of the function when domain y = 30 is f ( 30 ) = -1

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 14 - ( 0.5 )x   be equation (1)

Now , when the domain of the function x = 30 , we get

f ( 30 ) = 14 - ( 0.5 ) ( 30 )

f ( 30 ) = 14 - 15

On further simplification , we get

f ( 30 ) = -1

Hence , the function is f ( 30 ) = -1

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ3

Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?

Answers

Answer:

$21.15

Step-by-step explanation:

6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90

15/5 = 3 then 3 x 4.75= 14.25

14.25 + 6.90 = 21.15

Hope this helped <3

Answer:

$21.15

Step-by-step explanation:

Total Folder Amount: $1.15 • 6 = $6.90

Total Pen Amount: $4.75 • 3* = $14.25

*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*

$14.25 + $6.90 = $21.15

Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?

Answers

Answer:

2 dollars

Step-by-step explanation:

24-10=14

7 pencils cost 14 dollars

1 pencil costs 2 dollars

please give me brainliest!!

24 - 10 = 14
Divide by 7 = 2
1 Pencil = $2

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)

5√3x^2+4

Answers

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

HELP PLEASE ASAP!!!!!

Answers

Answer:

1 1/2 cups of flour :))

Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

you convert  1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.

If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]

Answers

Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?

Answers

It would cost about $98.06 sorry if this is wrong

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?

Answers

One solution because n=-5
There’s only one solution for this problem
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n

can someone answer this for me please?​

Answers

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula:

Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
A.$4.56
B.$33.06
C.$23.94
D.$44.50 ​

Answers

Answer:

$ 33.06

Step-by-step explanation:

I Hope this helps :))))

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Show your work

Answers

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

What property is used to show that 6(x + 7) = 6x + 42?
Commutative property

Identity property

Distributive property

Associative property

Answers

Answer: Distributive because 6 has to be multiplied by x and 7

Urgent!!!! Solve 3∣∣x+2∣∣<12.

Graph the solutions on the number line.

Answers

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

Does anyone know which one is the right answer

Answers

Answer:

Number 2 is incorrect

Step-by-step explanation:

The correct answer would be line CA is congruent to line ZX

FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!

Answers

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

(2,3)
(3,2)
(3,4)
(3,-2)

Answers

Answer:

(3,2)

Step-by-step explanation:

Right now point A is at the coordinates (3,2)

When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.

So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)  

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

help me please!!!!!!​

Answers

Answer: sin(C) = 3/5

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

Explanation:

Recall that sine is the ratio of opposite over hypotenuse.

For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.

So,

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 24/40

sin(C) = (8*3)/(8*5)

sin(C) = 3/5

If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.

Answer:

Step-by-step explanation:

Solution

Here,

H=40

P=32

B=24

Now,

sinC=p/h

      =32/40

      =4/5

Where, 4 is perpendicular and 5 is hypotenuse.

Hope it helped you.

Plz mark me brainliest.

Please help! Or if someone can explain how to find the answer

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Answer: x = 20

All this is exaple hople it help

the answer to this is20, hope it helps <3

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.

C(x) = ______________

If Warren has budgeted 434 dollars for the rental, how many days can he afford?

Answers

Answer:

The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.

Step-by-step explanation:

C(x) =60x + 14

434 = 60x + 14

-14                -14

420 = 60x

/60      /60

7 = x

or

x = 7 days

X=7days hope this helps

(x-8)2 – 7 = 25
Factored

Answers

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2

9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25

Answers

A reasonable number of miles Ricardo rides each day is C.22

Help ASAP due in 1 min

Answers

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3

Which of the following is the best estimate of the volume of
this water tank?

Answers

umm honestly it would be 58,320 yd

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

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