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

15*PLEASE ANSWER FAST VERY URGENT!!!!!

Answers

Answer:

25/15 - 12/15

Step-by-step explanation:

turn the mixed number to an improper fraction, then multiply the denominator and numerator by 5 to reach 15 and then 5 x 3 and 4 x 3 to get 12/15. I hope this helps

30POINTS
What is the value of x?

Answers

Answer:

look like the answer is 39

Step-by-step explanation:

Answer: your answer is y+b=39-dy 40=4=

80Step-by-step explanation:

A middle school mathematics teacher except a teaching position that pays 40,000 per year, each year the expected raise is $2000. How much total money with this teacher and teaching middle school math Mathematics over the first 30 years?

Answers

9514 1404 393

Answer:

  $2,070,000

Step-by-step explanation:

The series of salaries has a first term of $40,000 and a common difference of $2,000. The sum of them is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

where a1 is the first term of the series, d is the common difference, and n is the number of terms.

In this problem, we have ...

  a1 = 40,000; d = 2,000; n = 30

so the sum is ...

  S30 = (2(40,000) +2,000(30 -1))(30/2) = (80,000 +58,000)(15)

  S30 = 2,070,000

The teacher will earn $2,070,000 over 30 years on this salary schedule.

f (x) = 20 - (1.27)
growth or decay ?

Answers

Answer:

Decay...? Read below

Step-by-step explanation:

Assuming you meant to put 20 - (1.27)x, it is decay. As the x increases, the y decreases, making it decay.

M-5=49 please answer I need help

Answers

M = 54 bro bro bro give me BRANLIEST

Answer:

M=54

Step-by-step explanation:

If you are trying to find the value of M, you add 5 to both sides

M-5+5=49+5

this way the M is all by itself on the left side of the equal sign because -5+5=0

when we combine the like terms we get

M+0=54

therefore M=54

Also 54-5=49

Please help me on this

Answers

Answer:

30

Step-by-step explanation:

Answer: I am pretty sure the answer is 30. So option C

Step-by-step explanation:

A garden is in the shape of a rectangle 90 m by 60 m.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.

Answers

Answer:

3240 sq meters

Step-by-step explanation:

Area of garden = 90*60= 5400 square meters.

Flowers grown on = 40%

So, grass grown on = (100 -40)% = 60%

60% of 5400 = 0.6*5400 = 3,240.

So, the area of the garden that is grass = 3,240 square meters

3,240 meters

The area is 90*60m which is 5,400m.

60% of the garden is grass (1-0.4=.6)

60% of 5,400 = 3,240 meters

What is the measure of ABC?

Answers

Answer:

D i think

Step-by-step explanation:

Britzy has $50 and wants to buy a new pair of basketball shoes.The shoes cost $45 and have 6% tax.Does britzy have enough money?

Answers

yes she does have enough
Yes because $45 + 6%= 47.70

Solve: 4|x-1|+2=0
:{{{{{{{{{

Answers

Answer: no solution
Explanation: 4|x-1| = -2 (subtract 2 from both sides)
|x-1| =-2/4 (divide by 4 on both sides)
|x-1| =-1/2 (simplify)
|x-1| =-1/2
Anything that comes out of an absolute value sign must be positive. But because this is not, this is no solution.

A pencil case for £3.99 a packet of pens for £2.49 a calculator for 4.99 she pays with a £20 note how much change will she receive

Answers

Answer:

£20 - ( 2.49 + 4.99 + 3.99)

= 20 - 11.47

= £8.53.

Step-by-step explanation:

Answer:

She will recive £ 8.53 in change.

Step-by-step explanation:

£3.99 + £2.49 + £4.99 =  £11.47

^ (All the prices combined to subtract later)

 £20.00 - £11.47  =  £8.53

^( You would subtract  £11.47 from  £20.00 to find out the change)

Hope this helped! If u have any questions feel free to ask!

The GCF of 26 39 and 65

Answers

Answer: 13

Explanation:
26 is the smallest number. So do a factor tree for it (2 and 13). Then try dividing those factors with one of the other numbers (ex. 39/2 not equal to a whole number and 39/13 equals to a whole number). Use this factor for the leftover number (65).

-2(x + 2) =?x - 4
Pleeeaseee answer

Answers

Answer: -2 times x is -2x
The values of x:

X= 0

Fill in the blanks below with the correct units​

Answers

Answer:

a= ft is the unit

b=g(gram) is the unit

c= percent % is the answer

Evaluate the expression.
P(8,1)

Answers

Answer:

y-y1=m(x-x1)

Step-by-step explanation:

y-1=9(x-8)

y-1=9x-72

y-9x=-71

Find the area of the circle.

Answers

Answer:

50.24 centimeters squared

Step-by-step explanation:

The diameter (d) is 8 which means the radius is 4 (8/2)

we use the formula pi x radius^2

It says to use 3.14 for pi

so the equation is 3.14(4)^2=3.14 x 16 = 50.24

Answer:

50.24 centimeters squared

Step-by-step explanation:

i just took the test

Fill in the blank to find the y-intercept.
(0,_____)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the y intercept is the point on the graph where the line crosses the x axis

Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three point

Answers

Complete question :

Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?

Answer:

0.405224

Step-by-step explanation:

Given that:

p(success) = p = 74% = 0.74

If given 3 free throws ; probability of making all 3

Using binomial fórmula :

p = 0.74 ;

1 - p = 0.26

P( x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 3C3 * 0.74^3 * 0.26^0

P(x = 3) = 1 * 0.405224 * 1

P(x = 3) = 0.405224

A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?

Answers

Answer:

The amount of weight added is 26,729.7 pounds

Step-by-step explanation:

Here, we are told that a gallon of water weighs 8.34 pounds

Now, we want to find the weight of 3,205 gallons of water

Mathematically, that would be;

3,205 * 8.34 = 26,729.7 pounds

Also, what does the phrase "how much for 1" mean?

Answers

Answer:

It means your asking how much one of one type of thing is

Step-by-step explanation:

Omar is about to start his final semester of college, and he doesn't have enough money saved to afford the $750 he needs in books. He's 21, so he's going to open his own credit card to pay for the books, and then not use it again. His plan is to pay $100 per month toward his bill, until it's paid off. Which credit card offer is the best offer for Omar?​

Answers

It depends on the interest and what his credit score is to be able to get the best offer with low interest. Need more info to answer this correctly.

What is the axis of symmetry for the following equation?
y=4x2-8x+9

Answers

Answer:x=1

Step-by-step explanation:

The x of the top of the parabola is:

x=-(-8)/(2*4)=1

x=1

Using quadratic function concepts, it is found that the axis of symmetry for the function is x = 1.

The standard quadratic function is modeled by:

[tex]y = ax^2 + bx + c[/tex]

And has axis of symmetry given by:

[tex]x = -\frac{b}{2a}[/tex]

In this problem, the function is:

[tex]y = 4x^2 - 8x + 9[/tex]

The coefficients are:

[tex]a = 4, b = -8, c = 9[/tex]

Then, the axis of symmetry is:

[tex]x = -\frac{b}{2a} = -\frac{(-8)}(2(4)} = 1[/tex]

A similar problem is given at https://brainly.com/question/24737967

Esther wants to solve the problem using an equation. Help her write an equation to determine how many text messages Lexie could send in any number of minutes.

Find the missing value in Kenny’s table.

Solve Esther’s equation. Will she get the same answer as Kenny?

What is Lexie’s unit rate? That is, how many text messages can she send in
minute

Answers

Answer2/0

Step-by-step explanation:

Find x step by step (10 points)

Answers

Answer:

[tex]\sqrt{(n-m)(n+m)}[/tex] & [tex]-\sqrt{(n-m)(n+m)}[/tex]

Step-by-step explanation:

1) Subtract [tex]m^{2}[/tex] from both sides. This should leave you with [tex]x^{2}=n^{2}-m^{2}[/tex].

2) Square root both sides. This should leave you with [tex]x=\sqrt{n^2-m^2}[/tex] & [tex]x=-\sqrt{n^2-m^2}[/tex].

You can stop here if this is what the problem is asking for. However, it is not fully simplified.

3) Factor the equation. This should leave you with [tex]\sqrt{(n-m)(n+m)}[/tex] & [tex]-\sqrt{(n-m)(n+m)}[/tex].

Answer:

[tex]\boxed{\left \{ {{\sqrt{(n-m)(m+n)}} \atop {-\sqrt{(n-m)(m+n)}}} \right.}[/tex]

Solution Steps:- Steps using the quadratic formula -

______________________________

1.)  Subtract n² from both sides:[tex]n^2-n^2=0[/tex][tex]m^2-n^2=m^2-n^2[/tex]

2.) Rewrite:

This equation is in standard form: ax² + bx² + c = 0. Substitute 1 for a, 0 for b, and (m-n) (m+n) for c in the quadratic formula, [tex]\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]:

[tex]x^2+m^2-n^2=0[/tex]

   2.a)  Turns into:

[tex]x=\frac{0\frac{+}{}\sqrt{0^2-4(m-n)(m+n)}}{2}[/tex]

3.) Square 0:[tex]0^2=0[/tex] (Also means it Cancels out.)

4.)  Take the square root of −4(m−n)(m+n):

This just means combine them by squaring.

[tex]-4^2=2[/tex] (Half it, don't square it.)[tex](m-n)(m+n)^2=(n^2-m^2)[/tex]

   4a.)  Our equation should look like this now:

[tex]x=\frac{0\frac{+}{}2\sqrt{(n^2-m^2)}}{2}[/tex]

5.)  Solve the equation using ±:

Solve the equation [tex]x=\frac{0\frac{+}{}2\sqrt{(n^2-m^2)}}{2}[/tex]:

   5a.) Solve the equation when ± is plus:

[tex]x=\sqrt{(n-m)(m+n)}[/tex]

   5b.) Solve the equation when ± is minus:

[tex]x=-\sqrt{(n-m)(m+n)}[/tex]

______________________________

Hope this helps!

If you have any questions, or need help with anything else, feel free to ask! I'm happy to help!

- TotallyNotTrillex -

When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long.

Answers

Answer:

Um so then what is the question???

Step-by-step explanation:

Answer:

`She grew 5.75?

Step-by-step explanation:

I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol

What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06​

Answers

Answer: its 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points

The value of x in the equation is 4.

What is an algebraic expression?

An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.

From the given information:

2(6x + 4) - 6 + 2x = 3(4x + 3) + 1

Open brackets

12x + 8 - 6 + 2x = 12x + 9 + 1

Collect like terms

12x + 2x - 12x = -8 + 6+9 + 1

14x - 12x = -8 + 16

2x = 8

x = 8/2

x = 4

Learn more about algebraic expression here:

https://brainly.com/question/4344214

Factorise fully the following 2x+8

Answers

2x +8= 2(x+4)
Where 2 is the common factor.

Tommy divided 768 by 8 and his answer was 97 r2. He made a mistake. What did he do wrong?

Answers

The answer is 96.

/\___/\

(=θωθ=)

( >  >) \/  \/_____

Help! This is due today and I don’t know nothing

Answers

Answer:

1.A

2.A

3.B

4.B

Step-by-step explanation:

That the answer

Regional erosion occurs at a rate of 2 m per 1,000 years.

How much regional erosion will occur over 1,000,000 years?


A) 20 m

B) 200 m

C) 2,000 m

D) 100,000 m

Answers

Answer:

200

Step-by-step explanation:

It's 200 because you would take the 1,000 and multiply it by the power of 3, which is 100,000. So therefore you would do the same thing with the 2, which 2 to the power of 3 is 200. There is your explanation.

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