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prohojiy [21]
3 years ago
12

What is 1+1/2+2/3? Correct answer needed for a quiz.

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0

Answer:

13/6

Step-by-step explanation:

1+0.5=1.5=9/6

9/6+4/6=13/6

padilas [110]3 years ago
3 0
The answer is 1 because if you add 1 to 1 that Would be 2 then you divide 2 to 2 then it’s 1 then you add 2 and get 3 then you divide 3 and that would equal 1 so your final answer will be 1
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Determine the general solution of:<br><br> sin 3x - sin x = cos2x
SpyIntel [72]
Sin³ x-sin x=cos ² x

we know that:
sin²x + cos²x=1  ⇒cos²x=1-sin²x
Therefore:

sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0

sin³x=z

z³+z²-z-1=0

we divide by Ruffini method:
              1     1     -1     -1
        1           1      2      1                z=1
-------------------------------------
              1     2      1      0
       -1         -1      -1                       z=-1
--------------------------------------
              1     1       0                       z=-1

Therefore; the solutions are z=-1 and z=1

The solutions are:
if z=-1, then
sin x=-1   ⇒x= arcsin -1=π+2kπ    (180º+360ºK)   K∈Z


if z=1, then
sin x=1   ⇒ x=arcsin 1=π/2 + 2kπ   (90º+360ºK)   k∈Z

π/2 + 2kπ    U   π+2Kπ=π/2+kπ     k∈Z    ≈(90º+180ºK)

Answer: π/2 + Kπ    or     90º+180ºK          K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
6 0
3 years ago
Factor the expression: 8m - 20n
puteri [66]

Answer: 11

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A person participates in a state lottery by selecting six numbers from 1 through 51. If the six numbers match the six drawn by t
Licemer1 [7]

There are

\dbinom{51}6=\dfrac{51!}{6!(51-6)!}=18,009,460

total ways to draw any 6 numbers from the range 1 to 51, regardless of order.

Given 6 selected numbers that match those drawn by the lottery, there are

6!=720

ways of rearranging them. So the probability of winning 1st prize is

\dfrac{720}{18,009,460}=\dfrac{36}{900,473}\approx0.0000399790

Next, given 6 selected numbers of which 5 match those drawn by the lottery, there are

5!=120

ways of rearranging those 5 matching numbers. There are 46 remaining numbers that didn't get drawn, so the probability of winning 2nd prize is

\dfrac{46\cdot120}{18,009,460}=\dfrac{12}{39,151}\approx0.0003065

7 0
3 years ago
Line R when plotted passes through the points (1,-3) and (5,9). When Line S crosses line R it forms right angles which of the fo
LuckyWell [14K]
It’s -1/3 because you subtract 1-5 and -3-9, you get -4/-12 then simplify to get -1/3.
8 0
3 years ago
If you add​ natalie's age and​ fred's age, the result is 43. if you add​ fred's age to 44 times​ natalie's age, the result is 88
Pavel [41]
Let Natalie be x, and Fred, y.
So based on 1st condition, we get
x + y =43         - Equation 1   
â´ x = 43-y - Equation 2
Now based on 2nd condition, we get
44x+y=88
Using x from Equation 2, we get
44(43-y) + y = 88
â´ 44x43 - 44y + y = 88
â´ 1892 -44y + y = 88
â´ -44y + y = 88 - 1892
â´ 43y =1804
â´ y = 1804/43
â´ y = 41.95

Using the value of y in Equation 2
x = 43 - 41.95
â´ x = 1.05

So Natalie is 1.05 yrs and Fred is 41.95 yrs old.
8 0
3 years ago
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