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atroni [7]
3 years ago
13

Solve for (y)(x) x-y=1 1/2x+y=5

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0
Add them equations to cacncel y

x-y=1
<span>1/2x+y=5 +</span>
3/2x+0y=6

3/2x=6
times 2/3 both sides
x=4

sub back
x-y=1
4-y=1
-y=-3
y=3

x=4
y=3

the orderd pair for the intersection would be (4,3)
(y)(x)=(3)(4)=12


TEA [102]3 years ago
6 0
Using addition

x-y+1/2x+y=1+5
x+1/2x+0y=6
3/2x=6
\frac{3}{2}x=6
3x=12
x=4

Using the value of x
x-y=1
4-y=1
y=3

With x as 4 and y as 3, their product is 12
And can be written as (4,3)
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​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly s
tatyana61 [14]

Answer:

Given:

Sample size, n = 640

Since result showed that 99.2​% of them would erase all of their personal information online if they could, we have:

P' = 99.2% = 0.992

Let's take p = 50%

Our null and alternative hypothesis will be :

H0 : u = 0.5

H1 : u > 0.5

In this case we are to check for the test statistic.

\frac{P' - p}{\sqrt{p(1-p)/n}}

= \frac{0.992 - 50}{\sqrt{50(1-50)/640}}

= 24.9

Test statistic, Z = 24.893

In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.

7 0
3 years ago
The Lamaster family is a family of five people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 7
Keith_Richards [23]

Answer:

472.944(5) is less than Or equal to 2364.72

Step-by-step explanation:

6 0
3 years ago
A teacher needs 256 lengths of string cut to 40cm each. If balls of string are 30M long, how many balls are needed?
Otrada [13]
First you need to work out how much string is needed -
256 pieces needed x 40cm each:
256 x 40 = 10240cm

Then, convert to metres (100cm = 1m)
10240 / 100 = 102.4m

Then, you work out how many balls are needed:
30 can fit into 102.4 3 times with .41m to spare. So, you need three balls of string, PLUS another one to cover the 41cm

So to conclude: 4 balls of string are needed.
4 0
3 years ago
System of equations have one solution<br> A always<br> B sometimes<br> C never
77julia77 [94]
C never, there are always different methods to solve a problem but don't forget that the equation always stays the same!
6 0
3 years ago
Read 2 more answers
Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~\text{ TheAnimeGirl}

4 0
3 years ago
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