The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 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. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10

Answers

Answer 1

Answer: Van: 10, Bus: 46

Step-by-step explanation:

Let the number of students in each van be represented by v.

Let the number of students in each bus be represented by b.

The question given can be formed into an equation as:

3v + 13b = 628 ...... i

9v + 2b = 182 ......... ii

Multply equation i by 9

Multiply equation ii by 3

27v + 117b = 5652 ........ iii

27v + 6b = 546 ....... iv

Subtract iv from iii

111b = 5106

b = 5106/111

b = 46

Bus = 46

Recall that 9v + 2b = 182

9v + 2(46) = 182

9v + 92 = 182

9v = 182 - 92

9v = 90

v = 90/9

v = 10

Van = 10


Related Questions

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.


Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

Answers

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

M(4,2) is the midpoint of AB and A(-5, -3).

[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]4=\dfrac{-5+a}{2}[/tex]

[tex]8=-5+a[/tex]

[tex]8+5=a[/tex]

[tex]13=a[/tex]

And,

[tex]2=\dfrac{-3+b}{2}[/tex]

[tex]4=-3+b[/tex]

[tex]4+3=b[/tex]

[tex]7=b[/tex]

Therefore, the coordinates of point B are (13,7).

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

By selling a watch for Rs 1275, Javed lost 15%. At what price should he sell to make a profit of 10%

Answers

Answer: Rs. 1,650

Step-by-step explanation:

First find the original price of the watch.

If the watch is sold at Rs. 1,275, there is a 15% loss.

Assume the watch is x.

(1 - 15%) * x = 1,275

0.85x = 1,275

x = 1,275 / 0.85

x = Rs. 1,500

Now add a 10% markup on the original:

= (1 + 10%) * 1,500

= 1.1 * 1,500

= Rs. 1,650

2 x 5 x 10 helppppppp

Answers

Answer: 100

Step-by-step explanation:2*5 =10 then 10*10 is 100

Answer:

100

Step-by-step explanation:

so, here is how to work this problem out

2*5 = 10

10*10 = 100

-2 + b < 3





.............

Answers

Answer:

I believe we are solving for b. b<5

Step-by-step explanation:

To rent a bike, Max pays a flat rate plus an hourly rental fee. The graph shows the amount, c dollars, he pays based on the number of hours, t, he uses the bike.
a) Find the vertical intercept of the graph and explain what information it gives about the situation.
b) Find the slope of the graph and explain what information it gives about the situation.

Answers

Answer:

The vertical intercept is 5y. The slope is 1/2

Step-by-step explanation:

Please mark Brainliest

A mug is 1/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.

I need this Asap :)
PLS and THANK YOU

Answers

Answer:

answer is 15/6 or 2 and 1/2 cups

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Need help with math question 8th grade math

Answers

Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

y represents = $1.02.

I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!

Answer:

Step-by-step explanation:

x reprsents = 30 nickles

y represents = $1.02.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

3% of $750 is $22.50 so the answer is $772.50.

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50

Adrianna is two years older than Fernando, while Lucy is triple Fernando's age. If the sum of their ages is eighty-two, how old is Adrianna?

HELPPPP MEEEEE!!!!!!

Answers

27 i think lol :) x byeeeee

Answer:

18

Step-by-step explanation:

x + (2+x)+ (3x) =82

x+x+3x= 82-2

5x=80

x= 16

Fernando is 16

Adrianna is 2 years older so she is 18

And Lucy is 3x 16=48

together 82

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT

Answers

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

can someone properly explain the multiplier method I need help for revision

Answers

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

√26+10-15 cuanto es me ayudan ?​

Answers

Step-by-step explanation:

If the whole thing is in a square root, then the  answer is sqrt21.

If only sqrt26 is in the square root, then the answer is -5+sqrt26.

(esto es en español) (This is in spanish transalation)

Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.

Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.

Apply the distributive property to simplify the expression 7(11-7).

Answers

Answer:

28

Step-by-step explanation:

The Distributive property uses the number outside the parenthesis and combines it (using multiplication) with the ones inside.

So, the number 7 will be multiplied with the numbers inside the parenthesis.

7(11-7)

7 × 11 = 77

7 × -7 = -49 (It will just be the same way you multiply but with a added negative sign.)

77-49=

28

Whos your favorite character from Miraculous Ladybug?! mines Alya and of course cat noir he kinda cute

Answers

Answer:

CAT NOIR

He's cool and my cousin's fav characters LOL

Step-by-step explanation:

um, he's cool i guess?

Answer:

I like Mari and Luca bc he is rlly cute for me

5/x=-9

find the variable

Answers

5/x = -9

5 = -9x (we have multiplied x out from the denominator)

5/-9 = x (divided by -9 to isolate x)

Answer:

x = -5/9

Step-by-step explanation:

5/x = -9

multiply by x on both sides

5 = -9/x

multiply by 1/-9 on both sides

-1/9*5 = -1/9 *-9/x

-5/9 = x

Hi I need help can someone simplify this?

Answers

The simplified expression is c^5

Answer:

c^5

Step-by-step explanation:

:)

Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5

Answers

Answer:

2*12x-5

Step-by-step explanation:

In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.

Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53

Answers

Answer:

C. 3√5

Step-by-step explanation:

45 = 3 × 3 × 5 considering this the answer is C

Answer:

c

Step-by-step explanation:

The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?

Answers

Answer:

5 - numerator

6 - denominator

What is the LCM of 10 and 12?

Answers

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

If someone can help that would be great

Answers

Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

I need help I can’t understand having the answer is going to help a lot

Answers

Answer:

Step-by-step explanation:

35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4

in a standard deck of cards, what is the probability that you would draw an ace

Answers

Answer:

innate as an agent X or something else

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

300π

Step-by-step explanation:

The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²

Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4

Answers

Answer:

44

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

First, we must solve for the parenthesis so...

-2x-8=4x+16

Then we must simplify this even more so lets add the 8 to 16

-2x=4x+24

Then we must subtract 4x from -2x

-6x=24

we must now divide 24 by -6 so we can isolate the x

x=-4

I hope this helped :)

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