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Firlakuza [10]
3 years ago
11

Find the common ratio of the following geometric sequence.

Mathematics
1 answer:
Elanso [62]3 years ago
8 0
The answer is (4/5). If you multiply the first (5/12) over and over, you get this sequence.
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The second of two number is 5 times first. Their sum is 42 . Find both numbers
Harman [31]
Hey there!

To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x). 

Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42

Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42

Divide both sides by 6 to solve for x:
6x/6=42/6
x=7

Because x represents the first number, your first number would be 7. 

Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35

Your second number is 35.

To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42

Therefore, your final answer would be that the first number is 7, and the second number is 35.

Hope this helps, and have a marvelous day! :)


7 0
3 years ago
Read 2 more answers
JK and LM are straight lines. Find /NOK.<br> ( help me pls)<br>​
VashaNatasha [74]

Answer:

NOK = 58

Step-by-step explanation:

Given

JOM = 108

LON = 50

Required

Find NOK

From the attached triangle, we have:

LOK = JOM =108 --- Corresponding angles

And

LOK = LON + NOK

Substitute for LOK and LON

108= 50+ NOK

Make NOK the subject

NOK = 108 - 50

NOK = 58

8 0
3 years ago
Emma ran 3 miles in 28 minutes. How long would it take her to run 6 miles​
gayaneshka [121]

Answer:

56 minutes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =
ExtremeBDS [4]

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

  • (3, n)
  • (4,0)

Finding the slope between (3, n) and (4,0)

\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10  

8 0
2 years ago
Who is better?<br> Addison Rae or life
alekssr [168]

Answer:

addison all the way

Step-by-step explanation:

5 0
2 years ago
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