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mrs_skeptik [129]
3 years ago
14

Find the GCF of the following numbers:

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

2^53^5

Step-by-step explanation:

So if we compare 2^5 \cdot 3^7 to 2^7 \cdot 3^5, we should see the most amount of factors of 2 that they have in common is 5 and the most amount of factors of 3 that they have in common is 5.

If you aren't sure on the number of factors of 2 and 3 they have in common you could write it all out:

2^53^7=(2)(2)(2)(2)(2)\cdot\text{ }(3)(3)(3)(3)(3)(3)(3

2^73^5=(2)(2)(2)(2)(2)(2)(2)\text{ }(3)(3)(3)(3)(3)

So if I were able to circle each pair of 2's they had in common I would circle 5 pairs.

If were able to circle each pair of 3's they had in common I would circle 5 pairs.

You might be interested in
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
This puzzle is relatively easy, I just posted here cause I wanted to see if how many people can solve it. I capitalized some of
aleksandrvk [35]

Answer:

4 minutes

Step-by-step explanation:

2 will cook together for 1 minute. and it will take an additional 2 minutes to cook the 3rd pancake.

6 0
3 years ago
Multiply two and five-eighths negative two and three-fifths .
Yuki888 [10]
The answer is -6.825 in fraction form, it would be -6 33/40
4 0
3 years ago
In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls
Lemur [1.5K]

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

4 0
2 years ago
In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.
Rina8888 [55]

Answer:

36.93\ ft

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=\pi D

we have

D=25.2\ ft

substitute

C=25.2\pi\ ft

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the arc length by a central angle of 168 degrees

\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft

3 0
3 years ago
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