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eric271828
23.08.2019 •
Mathematics
3. seiji and gavin both worked hard over the summer. together, they earned a total of $425. gavin earned $25 more than seiji. how much did each of them earn?
a. write a system of two equations with two variables to model this problem.
b. use substitution or the elimination method to solve the system.
c. graph both equations.
d. answer the question.
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Ответ:
Money earned by both Seiji and Gavin = $ 425
Let money earned by Seiji = $ x
then , Money earned by Gavin ⇒y = $ x + 25
Writing the statement in terms of equation, we will write it as
1. x + y = $ 425
2. y = x +25
Then it can be written as using substitution method, i.e putting the value of y in equation (1).
→ x + x + 25 = 425
→ 2 x + 25 = 425
→ 2 x = 425 - 25 [ Taking variable on side and constant on another side]
→ 2 x = 400
Dividing numerator and denominator by 2, we get
→x= 200= Amount earned by Seiji
And , y = 200 + 25 = $ 225=Amount earned by Gavin
Ответ:
Total is 425.
So, x + y = 425
Gavin got 25 more than Seiji.
So, y = x + 25
I will use substitution method.
Substitute y = x + 25 in x + y = 425.
x + x + 25 = 425
2x + 25 = 425
2x = 400
x=$200
So, x is Seiji and he got $200.
For Gavin, substitute x in the equation of y.
y = x + 25
y = 200 + 25
y = $225
So, y is Gavin and he got $225.
For the graph part, I don't know how to show you. Hope you will be able to do the rest by yourself. If you need help with graphing, you may use desmos.com.
Ответ:
Isosceles and acute
Step-by-step explanation:
=> This triangle have two sides congruent so it's isosceles.
=> This triangle has all of it's angles less than 90 so it is an acute triangle.