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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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Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

7 0
3 years ago
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Answer:

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If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

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25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

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We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:Answer is E

Hope this helped :)

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