Answer:
If all the items are sold, the profit percentage is 14.28%.
Step-by-step explanation:
Given that the cost of 21 articles is equal to selling price of 18 articles, to find the profit or loss percent the following calculation must be performed:
21 = 100
21 - 18 = X
21 = 100
3 = X
(3 x 100) / 21 = X
300/21 = X
14.28 = X
Therefore, if all the items are sold, the profit percentage is 14.28%.
Answer:
4ux³
Step-by-step explanation:
√8ux⁵ √2ux
√8*2 u*u x⁵*x
√16u²x⁶
4ux³
The “math sentence”: To find the answer, I need to divide the six chocolate bars by 3/4.
To model the situation, you need to draw 6 squares divided into quarters. Color in 3 of the quarters in each square.
Finally, write this for the solution sentence:
By giving 3/4 of a chocolate bar to each of her friends, Mrs. Lopes will be able to share her 6 chocolate bars with 8 different friends.
Hope you get that A+!
Answer:
The probability that 8 mice are required is 0.2428.
Step-by-step explanation:
Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.
To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?
Solution :
Applying binomial distribution,
Where, p is the probability of success 
q is the probability of failure q=1-p, 
n is total number of trials n=8
r=3
Substitute the values,
Therefore, the probability that 8 mice are required is 0.2428.
Answer:
see explanation
Step-by-step explanation:
If a parallelogram then AB = DC and AD = BC
Equating AB = DC, then
3x = x + 4 ( subtract x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
AB = 3x = 3(2) = 6 and DC = x + 4 = 2 + 4 = 6 ⇒ AB = DC
Equating AD and BC, then
2y = y + 2 ( subtract y from both sides )
y = 2
Thus AD = y + 2 = 2 + 2 = 4 and BC = 2y = 2(2) = 4 ⇒ AD = BC
Since opposite sides are congruent then ABCD is a parallelogram
