The 100th term of the sequence is 2130.
<h3>How to calculate the value?</h3>
a3 = a + 2d = 93
a5 = a + 4d = 135
Compute both equations
(4d - 2d) = (135 - 93)
2d = 42
d = 42/2 = 21
a + 2d = 93
a + 2(21) = 93
a + 42 = 93
a = 94 - 42 = 51
100th term will be:
= a + 99d
= 51 + 99(21)
= 51 + 2079
= 2130
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Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
Answer:
0.075 sq km
Step-by-step explanation:
Given that there is a rectangular field with dimensions of length =300 m and width = 250 m.
We have to calculate area of this rectangle in the units of square kilometres.
Let us convert length and width into km
1000m = 1 km
Hence length = 300/1000= 0.3 km and
width = 250/1000 = 0.25 km.
ARea = length x width = 0.3 x 0.25
=0.075 square km.