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n200080 [17]
3 years ago
10

Billy and Sam started with the same number of baseball cards in their collections. Billy collected 3 cards per week and now has

29 cards. Sam collected 2 cards per week and now has 20 cards. Let x represent the number of cards they began with, and let y represnt the number of weeks. Which system of equations represents this situation?
Mathematics
2 answers:
IRISSAK [1]3 years ago
7 0
X+3y=29
x+27=20
These are the two equations for the given problem
Elina [12.6K]3 years ago
3 0

Answer:

x+3y=29

x+2y=20

Step-by-step explanation:

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At an archery competition, Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score. Team scores are determ
strojnjashka [21]

Given:

Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score.

Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna.

To find:

The individual score of each person.

Solution:

Let x be the score of Jamie.

Marshall scores 12 less than Jamie.

Marshall score = x-12

Shawna scored twice as much as Marshall.

Shawna score = 2(x-12)

Wyatt scored 4 less than Shawna.

Wyatt score = 2(x-12)-4

Now,

Score of Jamie and Marshall's team =x+(x-12)

Score of Shawna and Wyatt's team =2(x-12)+2(x-12)-4

Jamie and Marshall's team tied Shawna and Wyatt's team

x+(x-12)=2(x-12)+2(x-12)-4

x+x-12=2x-24+2x-24-4

2x-12=4x-52

Isolate x.

2x-4x=-52+12

-2x=-40

Divide both sides by -2.

x=\dfrac{-40}{-2}

x=20

So, Jamie score = 20

Marshall score = 20-12

                        = 8

Shawna score = 2(20-12)

                        = 2(8)

                        = 16

Wyatt score = 2(20-12)-4

                     = 2(8)-4

                     = 16-4

                     = 12

Therefore, the scores of Jamie, Marshall, Shawna and Wyatt are 20, 8, 16 and 12 respectively.

7 0
2 years ago
Ciaran scores 76% work out 76% of 75 marks <br><br> Help pls
dlinn [17]

To get 76% of 75 you turn the fraction to a decimal, then multiply it to the number. 76% as a decimal us 0.76 and 0.76 * 75 = 57

So, Ciaran got 57 out of 75 questions right.

3 0
3 years ago
Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3
Zolol [24]

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

8 0
2 years ago
there were 60 people in the town's first annual parade. That number has been growing by about 5% each year. predict the number o
Zepler [3.9K]

Answer: thanks for the points

Step-by-step explanation

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3 0
2 years ago
Which of the following table of values represents a proportional relationship?
Liula [17]

Answer

From My Understanding It Is The First One

Step-by-step explanation: Because It Goes From 1 on top which Adds 5 to the bottom

4 0
2 years ago
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