The senior classes at Downingtown HS and West Chester HS planned separate trips to Top Golf. The senior class at Downingtown rented and filled 14 vans and 7 buses with 476 students. West Chester HS rented and filled 7 vans and 11 buses with 628 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Answers

Answer 1

Answer:

The van can carry 8 students

The bus can carry 52 students

Step-by-step explanation:

Assume that the number of students in each van is v and the number of students in each bus is b

∵ The senior class at Downingtown rented and filled 14 vans and

   7 buses with 476 students

∵ The number of students in each van is v

∵ The number of students on each bus is b

14v + 7b = 476 ⇒ (1)

∵ West Chester HS rented and filled 7 vans and 11 buses with

   628 students

7v + 11b = 628 ⇒ (2)

Let us solve this system of equations to find v and b

→ Multiply equation (2) by -2 to make the coefficients of v equal in

  the values and different in the signs

∵ -2(7v) + -2(11b) = -2(628)

-14v - 22b = -1256 ⇒ (3)

→ Now add equations (1) and (3) to eliminate v

∴ -15b = -780

→ Divide both sides by -15

b = 52

→ Substitute the value of b in equation (1) to find v

∵ 14v + 52(7) = 476

∴ 14v + 364 = 476

→ Subtract 364 from both sides

∴ 14v = 112

→ Divide both sides by 14

v = 8

The van can carry 8 students

The bus can carry 52 students


Related Questions

Which one?
A. B. C. or
D? ​

Answers

Answer: D. 6sqrt3

Step-by-step explanation:

Factor them out

3sqrt3 + 3sqrt3 = 6sqrt3

1) = -50 - 48?
13) What is the solution to -- 2c + 3(40
(.304 scoot
& - 26 )
the solution to the following inequality 34 - a_6(a - 8)?

Answers

Answer:

hold on on minute I'm doing the work right now

The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________. congruent; similar; proportional congruent; proportional; similar proportional; congruent; similar proportional; similar; congruent

Answers

Answer: The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

Step-by-step explanation:

If all the corresponding sides and angles of two triangles are congruent then, the two triangles are said to be congruent..

If the corresponding angles of two triangles are congruent and their corresponding sides are proportional then triangles are similar (not congruent).

Complete statement: The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

Answer:

The triangles' corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar.

A rectangular room measures 3.8 meters in length and 4.9 meters in width. Jana multiplies both numbers together. Which expression would be best for her to use to check the reasonableness of her decimal multiplication?

Answers

Answer:

Step-by-step explanation:

"A rectangular room measures 3.8 meters in length and 4.9 meters in width. Jana multiplies both numbers together. Which expression would be best for her to use to check the reasonableness of her decimal multiplication?"

given that

the length is 3.8m long and,

width is 4.9m wide

The expression for the area is

Area= length * width

Area= 3.8*4.9

Area= 18.62 m^2

Therefore the expression best for her to use to check the reasonableness of her decimal multiplication is the area which is  18.62 m^2

Answer:

bc you dont got nun right there but the question so i think 4 times 4 but

Step-by-step explanation:

abc is isosceles a=48 and b=4x+4 x=?

Answers

Answer:

x = 11

Step-by-step explanation:

4 ⋅ 11 + 4 = 48

angle A = 48°

angle B = 48°

tell me what 1 plus 1 is and u get 100 points and brainliest

Answers

Answer:

2

Step-by-step explanation:

thanks for the points

Answer:

2

Step-by-step explanation:

1+1=2

what's 1/8 plus 5/12 as a common denominator simplified​

Answers

13/24 is the correct answer
Hope this helps:)

Suppose that you decide to buy a car for ​$57,000​, including taxes and license fees. You saved $10,000 for a down payment. The dealer is offering you a choice between two incentives. Incentive A is ​$5000 off the price of the​ car, followed by a four​-year loan at 6.06​%. Incentive B does not have a cash​ rebate, but provides free financing​ (no interest) over four years. What is the difference in monthly payments between the two​ offers? Which incentive is the better​ deal? Use PMT= P r n 1−1+ r n−nt. The difference in monthly payments between the two offers is ​$nothing. ​(Round to the nearest cent as​ needed.)

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

For incentive A

The car value = 57000

Calculating debt[tex]= 57000 - 10000[/tex]

                            [tex]= 47000[/tex]

Calculating the debt value after incentive [tex]= 47000 - 5000[/tex]

                                                                    [tex]= 42000[/tex]

[tex]PMT = \frac{P(\frac{r}{n})}{(1 - (1 + (\frac{r}{n}))^(-nt))}[/tex]

         [tex]= \frac{42000 \times (\frac{6.06 \%}{12})}{(1-(1+(\frac{6.06 \%}{12}))^{(-12 \times 4)})}[/tex]

         [tex]= \frac{42000 \times (0.00505)}{(1-(1+(0.00505))^{(-48)})}\\\\= \frac{212.1}{(1-(1+(0.00505))^{(-48)})}\\\\=\frac{212.1}{-1.74}\\\\= - 121.89 \ \ or \ \ 121.89[/tex]

For incentive  B

The car value = 57000

Calculating the debt value [tex]= 57000 - 10000[/tex]

                                            [tex]= 47000[/tex]

Calculating the monthly payment =[tex]\frac{47000}{(12*4)}[/tex]

                                                        [tex]= \frac{47000}{(48)}\\\\= \frac{47000}{(48)}\\\\=979.166[/tex]

difference:

[tex]=121.89 - 979.166\\\\ = - 854.276[/tex]

Ángels paints 55 square feet per 1/2 hour. How many squat feet dose she paint in an hour

Answers

Answer:

110

Step-by-step explanation:

just multiply it by 2

Answer:

110

Step-by-step explanation:

if she paints 55 in half an hour then in a hour she will paint 110 because 55+55=110

Mr. Wong wants to purchase 12 new smoke detectors for his house. Store A sells each smoke detector
for $17 and Store B sells each smoke detector for $24. If Mr. Wong purchases all his smoke detectors
at Store A, how much less will he spend than if he purchased all the smoke detectors at Store B?
A. $84
B. $120
C. $72
D. $204

Answers

Answer:

A-84

Step-by-step explanation:

12*17=204

12*24=288

288-204=84

Answer:

$84?

Step-by-step explanation:

BRAINLIEST BRAINLIEST ANSWER NUMBER 2 PLEASE

Answers

f is a function from (0, 4] to {$7, $14, $21, $28}

the pdf attached has the answers to all the questions on you assignment

Answer:

f(4) = 7x

Step-by-step explanation:

As we are to be writing the function in function notation this simply means in terms of f(x).

With the value of having 4 hours, you would input this number in terms of f(x).

This would then give you the solution of:

f(4) = 7x because he is working for 4 hours and is paid 7 dollars an hour.

The intersection of a line and a plane is

Answers

Answer:

The intersection of a line and a plane can be a/an ;

Empty setPointLine

Step-by-step explanation:

If the given statement is not in if-then form, rewrite it. Write the converse, inverse, and contrapositive of the given conditional statement. Determine the truth value of all four statements. If a statement is false, give a counterexample.

20. If you are a quarterback, then you play football. Math formatters insert into paragraph​

Answers

its a if-then statment

Step-by-step explanation:

Answer the last question

Answers

10 times less than !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

find the equation that passes through the points (4,0) and (7,6)

Answers

Answer: y=2x-8

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1. Plug the points in. You get 2 which is the m/slope. Then you plug that into y=Mx+b and then find the y isn’t with y=Mx+b and you get -8. Plug it all in and you get y= 2x-8

Answer:

y=2x-8

Step-by-step explanation:

6-0/7-4

6/3

x=2

4(-2)

y=-8

Type the correct answer in the box. Use numerals instead of words.
Use the order of operations to evaluate this expression:

7 + (5 – 9)^2 + 3(16 ÷ 8).

The value of the expression is?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

A line passes through the point (8,-1) and has a slope of -3/2

Answers

Answer:

y = -3/2 x +11

Step-by-step explanation:

[tex](8,-1) = (x_1,y_1)\\\\m = -\frac{3}{2}[/tex]

Substitute values into point-slope form

[tex]y-y_1=m(x-x_1)\\\\y -(-1)=-\frac{3}{2} (x -8)\\\\y+1 = -\frac{3}{2}x+12\\\\y = -\frac{3}{2}x +12-1\\\\y =-\frac{3}{2}x +11[/tex]

The equation of line passes through the point (8, -1) will be;

⇒ y = - 3/2x + 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (8, - 1).

And, The slope of the line is,

⇒ m = - 3/2

Now,

Since, The equation of line passes through the point (8, -1).

And, Slope of the line is,

⇒ m = - 3/2

Thus, The equation of line with slope - 3/2 is,

⇒ y - (-1) = - 3/2 (x - 8)

⇒ y + 1 = - 3/2 (x - 8)

⇒ y + 1 = - 3/2x + 12

⇒ y = - 3/2x + 12 - 1

⇒ y = - 3/2x + 11

Therefore, The equation of line passes through the point (8, -1) with slope - 3/2 is,

⇒ y = - 3/2x + 11

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

4x+2=4 if x satisfies the equation above, what is the value of 2x+1

Answers

Answer:

2

Step-by-step explanation:

4x + 2 =4 => 4x = 2 => x = 0,5

if x =0,5 => 2x + 1 = 0,5.2 + 1 = 2

The values of "2x+1" will be "2".

The expression,

→ [tex]4x+2=4[/tex]

By subtracting "2" from both sides, we get

→ [tex]4x+2-2=4-2[/tex]

→             [tex]4x=2[/tex]

→               [tex]x = \frac{2}{4}[/tex]

→               [tex]x = 0.5[/tex]

By putting the value of "x" in the expression "2x+1", we get

→ [tex]2x+1 = 2(0.5)+1[/tex]

→            [tex]= 1+1[/tex]

→            [tex]= 2[/tex]    

Thus the above answer is right.

Learn more about equation here:

https://brainly.com/question/2635513

Twice the complement of an angle is 50 less than the angles supplement. Find the measure of the angle

*PLEASE HELP AND ILL DO FACE REVEAL*

Answers

Answer:

25

Step-by-step explanation:

Evaluate and simplify

1. -(5x -4)

2. 10 - 2(4x - 6y)

4. 1/2 (-6y + 9z)

5. 2(3a + 9b) - 4(2a - 2)

Answers

1. -5x +20
2. -8x +12y+10
4. -3y + 9z/2
5. -2a +18b+8

Answer:

1. -5x +4

Step-by-step explanation:

1. you have to distribute the negative sign to the numbers in the parenthesis. So -(5x)= -5x, and -(-4)= 4. Sk your left with -5x + 4 which you cannot simply bcs those are not equal values, so the answer is -5x + 4.

PLEASE HELP...
1.) Solve y = x - 5 if the domain is -3
2.) Solve y = x - 5 if the domain is 5

WHO WANTS A BRAINLIEST !!!!

Answers

1.y=8
2.y=0

That’s the answer

Answer:

1) y=-8

2) y=0

Step-by-step explanation:

I just plugged it in for the domain (x)

(honestly its been a while since I've done tis so I'm only about 74% sure)

4. What is the equation of a line written in slope intercept form? Why is it
called "slope-intercept? *

Answers

Answer:

Step-by-step explanation:

That equation is y = mx + b, where m is the slope and b is the y-intercept.  You must have the values of both of these to write the equation of a straight line in slope-intercept form.

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?

Answers

Answer:

$12.00

Step-by-step explanation:

The cost of each ticket will be $18.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change.

Then the cost of the ticket will be

Cost = ($50 - $23) / 2

Cost = $27

If Tristan used a coupon for 25% off. Then the original price for all tickets will be

Original cost = $27 / 0.75

Original cost = $36

Then the cost of each ticket will be

Cost of each ticket = $36 / 2

Cost of each ticket = $18

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ6

Miranda and Jean are planning a trip together. They want to drive, but they're not sure whose car to take. Jean's car uses 5/12 gallons of gasoline to travel 12 1/2 miles. Miranda's car can go 20 5/7 miles on 5/7 gallons of gasoline. Whose car is more fuel efficient, and what is the car’s fuel efficiency in miles per gallon?

Answers

Answer:

most fuel efficient is Jean's car....it gets 30 miles per gallon

Step-by-step explanation:

Jean's car :

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 =

30 miles per gallon

Miranda's car :

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

HURRY HELP-

There are 44 students in a
classroom. The ratio of boys to girls is 4 to 7 how many are girls?

Answers

Answer:

22 girls and 22 boy or I just don’t know

Step-by-step explanation:

Answer:

28 are girls.

Step-by-step explanation:

44/(4+7) = 4

4 * 7 =28

What is the answer to this question?

Answers

Answer:

70

Step-by-step explanation:

[tex]180 - 120 = 60[/tex]

[tex]180 - 60 - 50 =70[/tex]

Answer: The answer is 70°.

find the value of x

(6x-3)°

Answers

Answer:

x = 1/2

Step-by-step explanation:

6x-3= 0       (add 3 to both sides)

    +3   +3

6x=3            (divide by 6 to isolate x)

/6   /6

3/6= 1/2       (simplify)

x=1/2

On a test, Gina got 5/6 of the answers correct and Teddy got 7/8 of the answers correct. Who did better on the test?

Answers

That’s some difficult question but yeah
I would go for teddy
Answer: Teddy
Explanation: Gina got an 83.33%, which rounds to an 83. Teddy got an 87.5%, which rounds to an 88%. Even if you didn’t round, teddy still got a better grade than Gina.
If this helped, pls mark me brainliest <3

I am really confused on how to do this. ​

Answers

Step-by-step explanation:

Ok, so in a standard equation, there can’t be any fractions, so you would have to multiply everything by 3, making the equation 3y+3=2(x-8) (p.s. don’t multiply the parentheses, leave the numbers in them alone for now). Then, you would go through with the equation process: 3y+3=2x-16. You move the 3 over to the right to make 3y=2x-19. Move the x to the left, -2x+3y=-19. But, there is a problem. The first term of this equation can’t be negative(yes, in standard form, x has to come first). So, you have to multiply everything by -1, resulting in the answer 2x-3y=19. I hope this helps!(The format for a standard form equation is: Ax+By=C).

PLEASE HELP 100 POINTS!
BRAINLIEST TO WHOEVER ANWSERS FIRST

Answers

I think that the functions would be anything that would function like a math equation! Like K and O

Answer:

.

Step-by-step explanation:

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