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hjlf
3 years ago
12

QUESTION ON THE PICTURE

Mathematics
1 answer:
Helen [10]3 years ago
3 0
Answer: 1 1/2
Explanation: the first number of the division problem stays the same but you flip the second fraction witch is 1/2 then that will be 2/1 then change the division symbol into a multiplication symbol and 3/4 times 2/1 and that equals6/4 and 6/4 is divisible by two so you divide 6/4 x 2. That equals 3/2 and you had to make that a mixed number so you divide two and 33 on the inside of the house and two on the outside. Two goes into threewants and when is your whole number and your remainder is one and one is your numerator and two is your denominator. You might understand it better if you see my work which a photo of it is down below.

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How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

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\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

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We know

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