The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School Brented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? *

Answers

Answer 1

Answer:

ANSWER:  each van carries 18 people and each bus can                   transport 59 people.

Step-by-step explanation:

Let x = number of vans

      y = number of buses

Then x + 6y = 372

      4x + 12y = 780

Multiply the first equation by -4:  -4x - 24y = -1488

                                                  4x + 12y = 780

Adding the equations, we get -12y = -708

                                                y = 59

Substitute for y in the equation x + 6y = 372:

  x + 6(59) = 372

  x + 354 = 372

            x = 18


Related Questions

PLEASE PLEASE PLEASE HELP​

Answers

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

How many elements are in this equation:Mg2N3? ​

Answers

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

29.9.2+ n+ 8.4 = 20.8
Please help

Answers

Answer:

n=6.42

Step-by-step explanation:

Following the steps for this equation.

Answer:

29.9.2+

Step-by-step explanation:

That should be right

∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help

Answers

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?

Answers

Answer:

93%

Step-by-step explanation:

From the question given above, the following data were obtained:

Total number of student = 300

Number of student that can not drive = 21

Percentage of student that can drive =.?

Next, we shall determine the number of student that can drive. This can be obtained as follow:

Total number of student = 300

Number of student that can not drive = 21

Number of student that can drive =?

Number of student that can drive = (Total number of student) – (Number of student that can not drive)

Number of student that can drive = 300 – 21

Number of student that can drive = 279

Finally, we shall determine the percentage of student that can drive as illustrated below:

Total number of student = 300

Number of student that can drive = 279

Percentage of student that can drive =?

Percentage of student that can drive =

279/300 × 100

= 93%

Thus, 93% of the student can drive.

Solve for e
7 = 15 - 2e
e equals....

Answers

Answer:

e=4

Step-by-step explanation:

The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??​

Answers

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

whats the y-intercept of y= 1/3 x-1y

Answers

Answer:

(0, 0)

Reasoning:

Y-intercept means set x to 0 and solve, therefore;

[tex]y=1/3(0) -1y[/tex]

[tex]y=0-1y[/tex]

[tex]2y=0[/tex]

[tex]y=0/2=0[/tex]

Thus, the y-intercept is (0,0)

I hope this helps you and good luck!

4% as a fraction or mixed number in simplest form

Answers

Answer:

1 /25

Step-by-step explanation:

percent means  

out of 100

 

4

%

=

4

100

as a fraction

To simplify the fraction we require to find a  

common factor

to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4

4

100

=

4

÷

4

100

÷

4

=

1

25

This calculation is usually set out using  

cancelling

4

100

=

4

1

100

25

=

1

25

in simplest form

A fraction is in  

simplest form

when no other factor but 1 will divide into the numerator/denominator.

Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)

Answers

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?

Answers

I believe that his percentage was 85%

A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

What is the slope and the y- intercept of the line on the graph

Answers

Answer:

its c for sure, its obvious

I believe it’s the first one if not then I’m sorry

The hypotenuse is always the __________ side of a right triangle.

Answers

Answer:

the answer is opposite

Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Learn more about

https://brainly.com/question/1499535

Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer

Answers

Slope (m)= y\x= 9/2 = 4.5

your equation for the line is

y=4.5x+3.5

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)

Answers

x + 3 = 0
2x - 1 = 0
It would be D.

Answer:

Thx for my points back that you stole

Step-by-step explanation:

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8/32= 25%

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

What partial products can be used to find the product 3x219

Answers

Answer:

You can do (3x200)+(3x10)+(3x9) Hope it helps!

The product is 657 if you need it!

Step-by-step explanation:

y= p2 + qr write p in terms of y, q and r

Answers

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

Write an equation of a line that passes through (-3, 5) and (-7, 5).

Answers

Answer:

y=5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 5-5)/( -7 - -3)

   = ( 5-5) / ( -7+3)

  = 0/-4

The slope is 0

This means it is a horizontal line

Horizontal lines are in the form

y =

The y coordinate is 5

y=5

What is the sum of 347+645=

Answers

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

65

Step-by-step explanation:

I think. hope this hepls

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320  divide by 0.2

x = 1600

Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.

What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?

Answers

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

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