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Natalija [7]
2 years ago
10

Jonathon has a bag full of 14 balls to sell. He sells the baseballs for $2 dollars and the volleyballs for $5 and earns a total

of $43. If the baseballs are represented by x and the volleyballs are represented by y, which of the following systems of equations can be used to calculate the number of baseballs and volleyballs sold?
Mathematics
2 answers:
storchak [24]2 years ago
5 0
The equations are x+y=14 and 2x+5y=43
Contact [7]2 years ago
3 0

Answer:

x+y=14\\2x+5y=43

Step-by-step explanation:

Let the number of baseballs = x and the number of volleyballs = y.

Jonathon has a total of 14 bags.

So, x+y=14

Now, the price of each baseball and volleyball is $2 and $5 respectively.

Since she earns $43 in total.

We have, 2x+5y=43.

Thus, the system of equations which can be used is,

x+y=14

2x+5y=43

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3 years ago
For what values of x and y must the figure have in order to be parallelogram?
Oduvanchick [21]

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12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

7 0
2 years ago
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