Mathematics Middle School

The water park is a popular field trip destination. This year the senior class at high school a and high school b both planned trips there. The senior class at high school a rented filled 4 vans and 14 buses with 742 students. High school b rented and filled 4 vans and 6 buses with 350 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answers

Answer 1
so let’s start of by setting variables for buses and vans
x = buses
y = vans

our equations will look something like this :

4x + 14y = 742 &’
4x + 6y = 350

let’s solve for y first . we need to cancel out our x’s so we turn on of them into a negative and since both of them have the same common factor we don’t need to find it . let’s multiply the bottom equation by ( -1 )

here’s what our new equations look like :
4x + 14y = 742
-4x - 6y = -350

now that our x’s are cancelled out we add our y’s and our totals :

14y + ( -6y ) = 8y
742 + ( -350 ) = 392

we want y alone so we divide :

392/8 = 49

y = 49

now we can substitute 49 for y :

4x + 14 ( 49 ) = 742
4x + 6 ( 49 ) = 350

we can multiply those numbers together :

4x + 686 = 742
4x + 294 = 350

now we add downward :

8x + 980 = 1,092

we need x alone so we subtract 980 from both sides :

8x = 112

divide by 8 :

x = 14

now , we can substitute 14 for x and 49 for y to check our work :

4 ( 14 ) + 14 ( 49 ) = 742

742 = 742 ✅

4 ( 14 ) + 6 ( 49 ) = 350

350 = 350 ✅

Related Questions

Answer is below here ⬇️ :D

Answers

Answer:

x=4

Step-by-step explanation:

(x+8)= 9/(3/4)

x+8= 12

x=4

The sum of a twice a number, x, and another number, y, is 1. The difference of x and y is -0.25. find X and Y

Answers

Answer: Y= -0.75 X =-.25

Step-by-step explanation:this is because since the difference is -0.25 the X would be .50 but there is a difference

Two pools were being filled. Pool A was being filled 1/8 of a gallon in 1/12 of a minute, and pool B was being filled at 3/8 of a gallon in 1/9 of a minute. Which pool is being filled up faster?

Answers

V=d/t

V1=1/8 × 12/1=12/8=3/2

V2=3/8 × 9/1 =27/8

Common denominator:

3/2=1 1/2 and 27/8= 24 3/8

so second pool because 24 3/8 is greater

I hope my answer is correct. sorry if not

Answer:

33/.08

Step-by-step explanation:

HAPPY EARLY CHRISTMAS !!!
hope y’all asked for something good and ur gonna get it! FREE 50 POINTS! IM vERY NIcE

Answers

Answer:

its not christmas anymore but ty

Step-by-step explanation:

Answer:

:D

Step-by-step explanation:

Help plss

Mae ling earns a weekly salary of $325 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?

Answers

Answer:

is this have picture so I solve

Picture mate? XDDDDDDDDDDDD

Harper completed making 6% of the masks she needed for school. Type a decimal value that is equivalent to 6%.

Answers

Answer:

0.06

Step-by-step explanation:

60/100ths is equal to 6%

0.06 is the answer I need to type more because it needs to be over 20 digits

5^3 x 15^20+ 3^9 =

Mates only

Answers

Answer:

4.1565709E25

Step-by-step explanation:

:P

Answer:

thianaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa is beautiful

Step-by-step explanation: ;D

つ ◕_◕ ༽つ              

(ง •_•)ง

(✿◠‿◠)

(✿◕‿◕✿)

(⌐■_■)

HELP PLEASE THERE ARE TWO MORE.

Answers

Answer:  y + x = ?

y - x = ?

y times x = ?

y / x = ?

Step-by-step explanation: If 1 is correct tell me, if none are, i will edit :D

40- 45[43x34] then divide iy

I don't understand, someone please help......

Answers

Answer:

72

Step-by-step explanation:

72 hdjdjdjdnehjehsdhhdhd

mmmmm i dont know how to do this

Answers

Answer:

See the answer below.

Step-by-step explanation:

The Pythagoras theorem for a right triangle is

c^2 = a^2 + b^2     where c = hypotenuse and a, b are the legs of the triangle.

3  positive integers which fit this formula  are called Pythagorean Triples.

3,4 5 are a triple because 5^2 = 3^2 + 4^2 ( 25 = 9 + 16).

and also  17^2 = 15^2 + 8^2  ( 289 = 225 + 64).

Step-by-step explanation:

Pythagorean theorem is [tex]a^{2} + b^{2} =c^{2}[/tex] (c being the largest number)

Pythagorean triples are 3 positive numbers that make this equation true.

let's start with 3,4,5

3²+4²=5²

9+16=25

25=25

Since it's true, it's a triple.

Now 8,15,17

8²+15²=17²

64+225=289

289=289

This is also true, so it's also a triple

Hope this helps!

Evaluate the expression |12| ÷ 2 x |-5|

Answers

Answer:

The answer is 30

Step-by-step explanation:

The answer is 30......

The diameter of a 2 1/8 Coke can is inches. What is the length in inches of the diameters of 6 Coke cans?

Answers

Answer:

12.75 or 12 3/4

Step-by-step explanation:

12.75 or 12 3/4 if I ain’t wrong

What point is 10 units right and 1 unit down from (-10,1)?

Answers

Answer:(0, -10)

Step-by-step explanation:

- (0,-10)
It (0,-10) unit

(Complete the steps in dividing mixed numbers.)
Divide Mixed Numbers
Is one of the numbers a whole number?
No?
Yes?
Write the whole number as a (blank).
Write the mixed number(s) as ( blank)
fractions.
Write the ( blank )
of the divisor.
Multiply as with (blank). Simplify.

Answers

Answer:

WHAT THE WHAT

Step-by-step explanation:

Answer:

yes, wholenumber, whole number, whole number, divisor

Step-by-step explanation:

tt

For homework. I can't understand how to do this

Answers

i don’t know the full answe but to start you can multiply both sides by the reciprocal to get ride of the fraction in
The answer is D.

P = 2l + 2w
P - 2l = 2w
(P - 2l) / 2 = w

9. Evaluate the ceiling function for the given value.
A. f(x) = ⌈x⌉; x = −7.4

B. g(x) = ceiling (x, 0.50);
x = 21.27

Answers

Given:

A. f(x) = ⌈x⌉; x = −7.4

B. g(x) = ceiling (x, 0.50);  x = 21.27

To find:

The values of ceiling function for the given value.

Solution:

A.

We have,

f(x) = ⌈x⌉; x = −7.4

Here, f(x) is a ceiling function, so we need to find the nearest next integer value because if m < x ≤ n, then ⌈x⌉ = n, where m and n are integers.

Now,

f(-7.4) = ⌈-7.4⌉

f(-7.4) = -7

Therefore, the value of f(x) is -7 at x=-7.4.

B.

g(x) = ceiling (x, 0.50);  x = 21.27

Here, g(x) is a ceiling function with 0.50, so we need to find the nearest next multiple of 0.50 because if m < x ≤ n, then ⌈x⌉ = n, where, m and n are multiples of 0.50.

Now,

g(21.27) = ceiling (21.27, 0.50)

g(21.27) = 21.50

Therefore, the value of g(x) is 21.50 at x=21.27.

237,421 rounded to the nearest thousandth
324.3472 rounded to the nearest hundredth
129.9521 roundeded to the nearest tenth

Answers

Answer:

1. 237.40

2.  324.35

3.   130.0

Step-by-step explanation:

remember when the number next to the number BEING rounded,, 5 or more let it soar(goes to the next number) 4 or less let it rest (means it will be a 0)

1. Is 237,000
2. Is 324.35
3. Is 130.0000

PLSSS EXPLAIINN ILL GIVE U A BRAINIEST

Answers

Answer:

So if you follow the rise over run rule, it would be1/2 Bc the first two points(left to right) are up 4 over 8 which equals 1/2 and the second two are up two over 4 which also equals 1/2 so that’s your answer

Is the equationy=-1/2 linear or nonlinear?

Answers

Answer:

y = -1/2 is a horizontal line; a line with no slope. With that said, it is linear.

Step-by-step explanation:

What is the slope of the line that passes through (5, 4) and (7, 10)
A. 3
B. -3
C. 2
D. -2

Answers

A becuase there is a slope of 3

Andre went to a sporting goods store that was having a different sale. He bought a baseball glove and 2 packages of socks. The baseball glove normally costs $34. The baseball glove is not discounted. One package of socks normally costs $6. On sale, one package of socks cost $4. The sales tax rate is 7.75%. What percentage of the total regular price (before tax) was his savings?

Answers

Answer: 8.7%

Step-by-step explanation:

Your answer is 8.7 and thats how much he gets

Bruce’s hourly wage increased from $15.00 to $18.60. What percent of change does this represent?

Answers

Step-by-step explanation:

15.00_____100percent

18.60_____124 percent.

it increased witf 24 percent

Answer:

0.2% increase

First, you find the change between $15.50 and $18.60, which is 3.10. Then you do 3.10 divided by the original, which is 15.50. You should get 0.2.

Step-by-step explanation:

How much of a kilometer is a 100 m sprint?

Answers

1/10
As 1km is 1000 meters, so 100/1000 = 1/10

Answer:

0.1

Step-by-step explanation:

The metric sysetem

The following table displays the approximate number of centimeters, y, in x inches.



Which equation can be used to determine the number of centimeters, y, in x inches?
x = 2.54y
y =
y = 2.54x
y = x + 1.54

Answers

The answer it’s y=2.54x I just did the assignment

Answer:

I think the answer is "X= 2.54y"

Step-by-step explanation:

Which symbol replaces the box to make the statement true? 2⋅18−18□2⋅[28−3⋅(2+4)]
A.
C. =

Answers

Answer:

2⋅18−18 is less than 2⋅[28−3⋅(2+4)]

Step-by-step explanation:

Answer:

answer is A

Step-by-step explanation:

Please Help!!!! No "positive vibes" answers please!! :( Please write a detailed explanation of your answer! Best one gets brainliest!!!!

Answers

Answer:

bad vibes and i cant see the png

Step-by-step explanation:

Cant see the png ........

A company has 95,000 shares of stock to sell stock broker decides to buy 100 shares of the stocks for each of her clients if the company has 75,000 shares of stock remaining after she makes her purchase how many customers does a stockbroker have?

Answers

Answer:B

Step-by-step explanation:because it will be the same thing depending on the amount of people she buys is for hypothetically she buys it for the same amount of people

Answer:

you right a

Step-by-step explanation:

What is the volume for the cone

Answers

Answer:

50.2654825cm^3 or 16 [tex]\pi[/tex] cm^3

Step-by-step explanation:

useds a calculator

12 cm sorry if it’s wrong

does the table below represent a function ​

Answers

You are correct it’s no
Yea are correct it’s no

This table models a linear function.
x −12 −8 −4 4
y 4 2 0 −4

Enter the coordinates of the y-intercept in the boxes.

Answers

Answer:

(0,-2)

Step-by-step explanation:

(0,-2) is the correct answer.
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