Answer:
13
Step-by-step explanation:
where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
H
You had it right...................
Answer: (A) 10
<u>Step-by-step explanation:</u>
<u>Value</u> <u>Quantity</u> = <u>TOTAL Value</u>
dimes: .10 Q + 5 = .10(Q = 5)
quarters: .25 Q = .25Q
Dimes + Quarters = $4.00
.10(Q + 5) + .25Q = 4.00
.10Q + .50 + .25Q = 4.00
.50 + .35Q = 4.00
.35Q = 3.50
Q = 10
Quarters = 10
Dimes = Q + 5
= 10 + 5
= 15
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
<h2>
<u>Answer:</u></h2>
=> B) The amount of popcorn that fits in a particular container.
<h2>
<u>Explanation:</u></h2>
=> The amount of space that a substance or object occupies, or that is enclosed within a container is known as <u>volume.</u><u> </u> The first & third option measures the surface area while the fourth option measures the distance covered. Thus, the second option (b) is the correct answer.
