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eimsori [14]
3 years ago
12

Group a filled 2 vans and 5 buses with 202 students. Group b filled 10 vans and 13 buses with 578 students. Each can and bus car

ried the same amount of students. Find the number of kids in each van and in each bus
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer: the number of students in each van is 11

the number of students in each bus is 36

Step-by-step explanation:

Let x represent the number of students in each van.

Let y represent the number of students in each bus.

Group a filled 2 vans and 5 buses with 202 students. This means that

2x + 5y = 202 - - - - - - - - -1

Group b filled 10 vans and 13 buses with 578 students. This means that

10x + 13y = 578 - - - - - - - - - - 2

Multiplying equation 1 by 10 and equation 2 by 2, it becomes

20x + 50y = 2020

20x + 26y = 1156

Subtracting

24y = 864

y = 864/24 = 36

Substituting y = 36 into equation 1, it becomes

2x + 5×36 = 202

2x + 180 = 202

2x = 202 - 180 = 22

x = 22/2 = 11

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First we need to find the slope.

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

slope = (-5 - 2) / (5 - -3)

slope = (-7) / (5 + 3)

slope = -7/8

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Point-slope form:

y - y1 = m(x - x1)

y - 2 = (-7/8)(x - -3)

y - 2 = (-7/8)(x + 3)

y - 2 = (-7/8)x - 21/8

y = (-7/8)x - 21/8 + 2

y = (-7/8)x - 21/8 + 16/8

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6 0
3 years ago
Read 2 more answers
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
4 years ago
Someone please help 5 points.
choli [55]

Answer:

7.1 I am pretty sure okay cya

4 0
3 years ago
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Please no one is helping me I truly need help pls
vampirchik [111]

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

3 0
3 years ago
Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get
Ulleksa [173]

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

3 0
3 years ago
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