Solve the following system of equations graphically, Select the graph that shows the correct solution of the systern.
2 answers:
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The 2nd term exists 12 and 7th term exceeds the 4th by 15 exists AP : 7,12,17,....
<h3>How to estimate the arithmetic progression?</h3>
Given : The second term exists 12th and the 7th term exceeds the 4th term by 15
The formula of the nth term :
Where d exists a common difference
n be the number of terms
a be the first term
Substitute the value of n = 2
Let, the second term exists 12
So, a + d = 12 ..........(1)
Substitute the value of n = 7
Substitute n = 4
We are given that the 7th term exceeds the 4th term by 15
So, a+6d-a-3d = 15
3d = 15
d = 5
Substitute the value of d in (1)
So, a+5 = 12
a = 12-5
a = 7
AP : a,a+d,a+2d,.... = 5, 7+5, 7+2(5),....=7,12,17,....
Therefore, AP : 7,12,17,....
To learn more about arithmetic progression refer to:
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Given :
Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.
To Find :
The number of packages of erasers and pencils that were sold .
Solution :
Let, number of erasers are x and pencils are y.
So, x + y = 220 ....1
Also, 2x + 5y = 695 ....2
Solving equation 1 and 2, we get :
x = 220 - 85 = 135
Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.
Hence, this is the required solution.