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OleMash [197]
3 years ago
13

A small town has two local high schools. High School A currently has 750 students and is projected to grow by 45 students each y

ear. High School B currently has 850 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A int years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.​
Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0

Answer: A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

 

Karo-lina-s [1.5K]3 years ago
8 0
Equation for high school A: A(t)=750+45t
Equation for high school B: B(t)=850+25t

750+45t=850+25t, solve for t:
45t-25t=850-750
20t=100
t=5

Answer: After 5 years, both high schools will have the same number of students.

Check:
750+45t=750+(45*5)=750+225=975
850+25t=850+(25*5)=850+125=975
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John could not decide, but he had 9 dollars he could spend on fruit kabobs that cast 1.75 dollars and smoothies that cost 2.50 d
IrinaK [193]

Answer:

One fruit kabob and one smoothie

Two fruits kabobs and two smoothies

Three fruit kabobs and one smoothie

One fruit kabob and two smoothies

Explanation:

In this situation, the basic combination John can afford is simply to buy one fruit kabob and one smoothie ( $1.75 + $ 2.50 = $4.25) because he wants at least one unit of each item. Additionally, it is possible to add more units of each item to create new combinations or possibles, just make sure they do not total more than 9 dollars, which is the money John has. Here are some of the possible combinations:

Two fruit kabobs and two smoothies

Fruit kabobs: $1.75 x 2 = $3.5

Smoothies: $ 2.50 x 2 = $5

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Five brothers are going to take turns watching their family's new puppy. How much time will each brother spend watching the pupp
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Answer:

4 hours 48 minutes

Step-by-step explanation:

Right now, in this problem the whole set comprises of a single day and you know that there are 24 hours in a day.

In order to solver the problem,you have to draw a number line of length 24 and then separate it into 5 equal parts.  (because there are total five brothers)

or simply, just divide 24 by 5.

= 24/5  => 4\frac{4}{5} hours

lets convert 4/5 hour to minutes, as you know there are 60 minutes in one hour.

therefore, 4/5 x 60= 48 minutes.

Answer: Each brother will spend 4\frac{4}{5} hours watching the puppy in single day, which is likewise 4 hours 48 minutes

5 0
3 years ago
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