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babymother [125]
3 years ago
8

1/3 x 4/5 as a fraction​

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

4/15

Step-by-step explanation:

1x4= 4

3x5=15

rusak2 [61]3 years ago
4 0

Answer:

4/15

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get  

1/3x4/5=4/15

Since the fraction can't be reduced it will stay as 4/15

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Simplify. show work please 5 1/3+(-3 9/18)
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51/3+-39/18

= 89/6

Answer is 14.833333
8 0
3 years ago
Aiguo places 6 circular biscuits, each with the same diameter, on a baking sheet as
zloy xaker [14]

Answer:

The answer is 113.04

Step-by-step explanation:

8 0
3 years ago
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}} or \displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as \displaystyle \large{a_{n-1} \cdot r = a_n} meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

\displaystyle \large{r=\frac{a_{n+1}}{a_n}}

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}

Above should be applied for series that have common ratio not equal to 1.

\displaystyle \large{S_n=a_1 \cdot n}

Above should be applied for series that have common ratio exactly equal to 1.

__________________________________________________________

Topics

Sequence & Series — Geometric Series

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

__________________________________________________________

7 0
2 years ago
Find the mean of the integers. −54,−32,−70,−25,−65,−42<br><br> pls help
Nataliya [291]
The answer is -42.166
3 0
3 years ago
Pls help Question On the photo
Mrac [35]

Answer:

C. In step 2, Cindy should have multiplied both sides of the equation by 2.

Step-by-step explanation:

I'll go through the equation correctly, and then point out what would have happened.

3 = x/2 - 5

Add 5 to both sides. -5 and 5 cancel out.

8 = x/2

What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.

What would have happened here is that we have an extra step (though either way we still end up with x being 16.)

Correct Step 2:

Multiply both sides by 2. x/2 and 2x cancel out.

x = 16

Incorrect Step 2:

8/2 = (x/2)/2

4 = x/4

Multiply both sides by 4 (this would be the extra step!).

16 = x

8 0
2 years ago
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