In order to solve for a nth term in an arithmetic sequence, we use the formula written as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given values above.
<span>a1 = 38 and a17 = -74
</span>
an = a1 + (n-1)d
-74 = 38 + (17-1)d
d = -7
The 27th term is calculated as follows:
a27 = a1 + (n-1)d
a27= 38 + (27-1)(-7)
a27 = -144 -----------> OPTION D
Answer:
88 dollars
Step-by-step explanation:
you multiply 4 by 12 and you get 48 then you add the admission fee which is 40, then you have 88
Answer:
5:3 and 10:3 are NOT equivalent ratios.
10:3 and 30:18 are NOT equivalent
5:3 and 30:18 ARE equivalent
Step-by-step explanation:
<span>x + 6y = 2
4x - 3y = 10
The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms.
Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:
</span>x + 6y = 2 x + 6y = 2
2(4x - 3y = 10) --> 8x - 6y = 20<span>
Hope this helps.</span>
12/5 = 2.4 min
2.4 minutes - 2 minutes
= 0.4 minutes
60/10=6
6*4=24
It takes John 24 seconds to assemble a watch.