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VashaNatasha [74]
3 years ago
5

Dakota read 130 pages over the weekend. Dajuan read 165 pages over the weekend. Which prime number do the prime factorization of

130 and 165 have in common?
Mathematics
1 answer:
Amanda [17]3 years ago
6 0

In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.

Prime factors of 130 can be found as:

130 is a composite number because it has factors other than 1 and itself.

It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.

The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.

The prime factors of 130 are 2, 5, and 13.

Prime factors of 165 can be found as:

165 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.

The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.

The prime factors of 165 are 3, 5, and 11.

Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.

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A shop sells chocolate, vanilla and strawberry ice cream cones. In one day, 45% of the ice cream cones sold are vanilla and 17%
True [87]

Answer:

950

Step-by-step explanation:

As, 45% will be vanilla, and 17% will be strawberry

So chocolate will be = 38%

As, 45%+17%+38% = 100%

So 38% of 2,500 = chocolate cones

= 38/100 x 2,500 = 950

So the number chocolate ice cream cone sold is 950.

8 0
2 years ago
HELP!!!!! ASAP PLEASE!!!!!!!!!!
Nataly_w [17]

Answer:

Tangent line states that a line in the plane of a circle that intersect the circle in exactly one point.

Common external tangent states that a common tangent that does not intersects the line segment joining the centers of circle.

Common internal tangent states that a common tangent that intersects the line segment joining the centers of circle.

Circumscribe polygon states that a polygon with all sides tangent to a circle contained within the polygon.

Therefore:

A polygon with all sides tangent to a circle contained within the polygon = Circumscribe polygon

A common tangent that intersects the line segment joining the centers of circle = Common internal tangent

A common tangent that does not intersects the line segment joining the centers of circle = Common external tangent

a line in the plane of a circle that intersect the circle in exactly one point = Tangent line

3 0
3 years ago
2, 2 1/2, 1 1\2, 2 whats the next number in the series
DedPeter [7]
<h3>Answer:  1</h3>

Explanation:

The jump from 2 to 2&1/2 is an increase of 1/2

2 + 1/2 = 2 & 1/2

The jump from 2 & 1/2 to 1 & 1/2 is a decrease of 1

(2 & 1/2) - 1 = (2 - 1) & 1/2 = 1 & 1/2

The jump from 1 & 1/2 to 2 is an increase of 1/2

(1 & 1/2) + 1/2 = 1 + (1/2 + 1/2) = 1 + 1 = 2

The pattern seems to be "add 1/2, subtract 1". Assuming this is the case, we would then subtract 1 from the last term we got (2) to get 2-1 = 1

7 0
2 years ago
I need help on this I don’t know what to do
nadya68 [22]

Answer:

x=9

Step-by-step explanation:

logx (531441) = 6

Changing this to an exponential

x^6 =531441

Take the 6th root of each side

(x^6)^1/6 = (531441)^1/6

x =9

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3 years ago
Please help ASAP
AlladinOne [14]
What do you mean by this?
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2 years ago
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