Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,



Let us take square root of both sides of our equation.


Therefore, the length of diagonal of our given square is 42 cm.
Answer:
The probability of cured people in who took the remedy is 8/9.
Step-by-step explanation:
Success rate of the cold remedy = 88%
The number of people who took the remedy = 45
Now, 88% of 45 = 
and 39.6 ≈ 40
So, out of 45 people, the remedy worked on total 40 people.
Now, let E: Event of people being cured by cold remedy
Favorable outcomes = 40

or,
= 
Hence, the probability of cured people in who took the remedy is 8/9.