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BartSMP [9]
2 years ago
15

The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School

A rented and filled 6 vans and 7 buses with 412 students. High school B rented and filled 6 vans and 9 buses with 504 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.
Mathematics
1 answer:
storchak [24]2 years ago
3 0

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

Now solve the 2 equations simultaneously

<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>

6x+7y=412..........1

6x+9y=504.........2

make x the subject of one equation

and label it equation 3

6x=412—7y

x =  \frac{206}{3}  -  \frac{7y}{6} .............3

subs 3 into 2

6( \frac{206}{3}  -  \frac{7y}{6} ) + 9y = 504

412 - 7y + 9y = 504

- 7y + 9y = 504 - 412

2y = 92

y = 46...................4

subs 4 into 1

6x + 7(46) = 412

6x + 322 = 412

6x = 412 - 322

6x = 90

x = 15

Therefore there are 15 students in each van and 46 students in each bus.

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If a box has a surface area of 680 and the length and width are 10. What is the height?
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10x10=100

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8 0
3 years ago
Audrey gave a 0.90 tip to a waitress for serving a meal costing $6.00. what percent of the bill was her tip?
maw [93]

Answer:

<u>15%</u> percent of the bill was her tip.

Step-by-step explanation:

Given:

Audrey gave a $0.90 tip to a waitress for serving a meal costing $6.00.

Now, to find the percent of the bill was her tip.

The bill was = $6.00.

The tip she gave = $0.90.

Now, to get the percent of the bill was her tip:

\frac{The\ tip}{The\ bill}\times 100

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Therefore, 15% percent of the bill was her tip.

7 0
3 years ago
Find the total surface area of the following cone. Leave your answer in terms of pi.
kramer

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

           height= 12 cm

   

Now finding the surface of cone.

Formula; Surface area of cone= \pi rl+ B

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= \pi \times 5^{2} = 25\pi

∴ Area of circle (B)= 25\pi

Finding slant height (l)

Formula; l= \sqrt{r^{2}+h^{2}  }

⇒l = \sqrt{5^{2}+12^{2}  } = \sqrt{25+144 }

∴ l= \sqrt{169} = 13\ cm

Next, using the formula for finding surface area of cone.

Surface area of cone= 5\times 13\times \pi + 25\pi

⇒ Surface area of cone= 65\pi +25\pi = 90\pi

∴ Surface area of cone= 90π cm²

6 0
3 years ago
ANSWER FAST PLEASE
butalik [34]
1/2 Because I say because I say so
7 0
2 years ago
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