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harina [27]
3 years ago
12

Q: If the following series continues the same pattern. What is the next

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

13

Step-by-step explanation:

1 + 9 = 10

10 - 3 = 7

7 + 9 = 16

16 - 3 = 13

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Divid 15 into two parts such that the sum of their reciprocal is 3/10
emmasim [6.3K]
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
4 0
3 years ago
Determine if the following system of equations has no solutions ......................
topjm [15]

Answer:

No solutions

Step-by-step explanation:

3x+4y=-4

15x+20y=-22

——————————

-5(3x+4y)=-5(-4) multiply 1st equation by -5 so you can eliminate the variables

-15x-20y=20. Modified 1st equation

15x+20y=-22.  2nd equation

0+0=-2. Added two equations together

since 0 does not equal -2, there is no solution.

8 0
2 years ago
X + y = so please help me out
sladkih [1.3K]

Answer: x + y = z

Example:

Lets say if x 5 and y is 10 then z would equal 15.

5 + 10 = 15

Hope this helped! :)

3 0
3 years ago
Is (-5, 6) a solution to y = 2x + 4 ?<br> I need an answer quickly, please
Fittoniya [83]

Answer:

(-5, 6) is not a solution.

Step-by-step explanation:

6=2(-5)+4

6=-10+4

-10+4=-6, not 6.

7 0
2 years ago
C=59(F−32)
mestny [16]

Answer: here u go ig

Step-by-step explanation:

4 0
2 years ago
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