Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Answer:
no solution
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The 2 lines shown here are parallel and never intersect
Hence the system has no solution
Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.
2. Substract 5 from both sides and simplify.
3. Multiply 8 on both sides and simplify.
<u>We have found our number, it's 296!</u>
50x(60/100)
= 30
$50-$30=$20
20x(15/100)
= $3
$20+$3 = $23
Answer list the data sets
Step-by-step explanation:
