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kobusy [5.1K]
4 years ago
9

What is 3/18 and 12/20 simplified

Mathematics
2 answers:
grin007 [14]4 years ago
5 0
3/18= 1/6

12/20= 3/5
Gwar [14]4 years ago
4 0
3/18 is simplified to 1/6
12/20 is simplified to 3/5
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The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find the first term of this progre
artcher [175]

Answer:

  5 or 45

Step-by-step explanation:

If the first term is "a" and the common ratio is "r", then the first three terms are ...

  a, ar, ar²

Their product will be ...

  a × ar × ar² = (ar)³ = 3375

  ar = ∛3375 = 15

Their sum will be ...

  a + ar + ar² = 65 = 15/r + 15 + 15r

Subtracting 15 and multiplying by r/5, we have the quadratic in r:

  10r = 3 + 3r²

  3r² -10r +3 = 0 . . . . in standard form

  (3r -1)(r -3) = 0 . . . . factored

  r = 1/3 . . or . . 3 . . . . values of r that make the factors zero

The first term is 15/r = 45 or 5

_____

The first three terms could be 5, 15, 45; or they could be 45, 15, 5.

5 0
3 years ago
Calculate the slope of a line that passes through the points (6, -12) and (15, -3).
Stells [14]

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

-3 - (-12) = -3 + 12 = 9

Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

3 0
3 years ago
Read 2 more answers
A vine called the mile a-minute weed is known for growing at a very fast rate. It can grow up to 0.25 inches
jek_recluse [69]

Answer:

\displaystyle =\frac{0.5\text{ ft}}{\text{day}}

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

\displaystyle \frac{0.25\text{ in}}{\text{hr}}

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}

Multiply and cancel common terms. So:

\displaystyle =\frac{0.5\text{ ft}}{\text{day}}

The weed grows at a rate of 0.5 feet per day.

4 0
3 years ago
What is m&lt;1?<br><br> 60<br> 120<br> 66<br> 114
OLEGan [10]

Answer:

60 Is the correct answer

5 0
3 years ago
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Which function has a removable discontinuity?
sweet-ann [11.9K]
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5 0
3 years ago
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