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Andrej [43]
3 years ago
14

The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa

tions that represents the numbers of students who chose breakfast and lunch. Let x x represent the number of students who chose breakfast and y y represent the number of students who chose lunch. (50 students picked, 25 picked dinner the rest picked lunch and breakfast)
Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

The system of linear equations are y=5+x and  x+y=25

Step-by-step explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e. y=5+x

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So, x+y=25

Therefore, the system of linear equations are y=5+x and  x+y=25

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A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the
kvasek [131]

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

V = a^2h

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

a^2h = 75

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

a^2(5h) = 5(a^2h) = 5*75 = 375

The new volume is 375 cubic inches.

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Alex

-5

a^2-25=0

a^2=25

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