The answer would be 9v ^4 + 27v ^3 - 36v^2
Step-by-step explanation:
You first would multiply each term in the parenthesis by 9v^2
9v^2 (v^2) + 9v^2 (3v) - 9v^2 (4)
After this you combine the like terms
9v^2 * v^2 is 9v^4
9v^2 * 3v is 27v^3
-9v^2 * 4 is -36v^2
Because you can not simplify it any smaller, this is your final answer
Answer:
3
Step-by-step explanation:
7 % of cost price is 2.80 , What about 1%?
7 = 2.80
1 = x (where x is the price value of 1% in dollars)
We simplify the above equation, so:
7 × x = 2.8 × 1 → 7x = 2.8 → x = 2.8 / 7 → x = 0.4 dollars
We know that 100% represents the whole price,
so if 1% is 0.4 dollars, then 100% will be 0.4 × 100 = 40 dollars
Therefore the store charged $40 dollars for the helmet before tax
Answer: Kara should have written the proportion in step 1 as;
Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)
Step-by-step explanation: The two similar triangles are given with the following dimensions;
Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.
For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.
Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;
VX = ZX
VW = ZY
XW = XY
What Kara did was as follows;
VX/ZY = VW/ZX
Which translates to 14/72 = 12/x
This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.
The correct step should therefore have been;
VW/ZY = VX/ZX
12/72 = 14/x (Step 1)
12x = (72) (14) {Step 2}
x = 1008/12 (Step 3)
x = 84 (Step 4)
Answer:
2000 players will complete the game with a perfect score.
Step-by-step explanation:
The testing phase tells us that 
is the probability that a person will finish with a perfect score.
This means 1 out of 500 people will be able to finish with perfect score.
Now,
the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be the of 1 million!
We do the calculation shown below:
So, 2000 players will complete the game with a perfect score.
