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slavikrds [6]
4 years ago
11

Jonathan spends 2/8 of his money on food

Mathematics
1 answer:
sergiy2304 [10]4 years ago
5 0
Where did Jonathan got his money. I NEED SOME MONEY
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The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
3 years ago
The definition of a ray
mr Goodwill [35]

Answer:

the ray is a straight line which is not be turn any side she travel only in straight line is called ray . hoep ur help

6 0
3 years ago
1/6 of an hour equals how many minutes?
ladessa [460]

Answer:

10 min

Step-by-step explanation:

4 0
3 years ago
A factory made 886 jars of peanut butter. 443 of the jars contained creamy peanut butter. What percentage of the jars of peanut
Rzqust [24]

Answer:

50%

Step-by-step explanation:

To find the percentage, we need to divide the amount of creamy peanut butter by the total amount of peanut butter. In this case, there are 443 jars with creamy peanut butter and 886 total jars.

What is 443/886? Well, you could divide it out, but you could also notice that 443 is exactly half of 886 and simplify to 1/2, which is equal to 0.5. Either way works, but one's just a lot quicker.

Next, we have to convert the decimal - 0.5 - into a percentage. To do this, we move the decimal point to the right two spots, getting us to 50, and then slap a percentage sign on there giving us a final answer of 50%.

Hopefully that's helpful! :)

7 0
2 years ago
The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as
Alekssandra [29.7K]

The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

<h3>How does scientific notations work?</h3>

The number is written in the form  a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We're given that:

Average thickness of a chicken eggshell = 0.000356 m

We can rewrite it as:

0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}

Since we need to write it as a single digit times an integer power of 10, therefore, we get:
3.56 \times 10^{-4} \approx 4 \times 10^{-4}

Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ1

5 0
2 years ago
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