36/15 = 12/5
x^5 / x^5 = 1
y^8 / y^7 = y
z^10 / z^2 = z^8
Answer is 12yz^8/5
Answer:
See explanation
Step-by-step explanation:
Triangles ΔABC and ΔBAD are congruent. So,
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Consider triangles AEC and BED. In these triangles,
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (as vertical angles).
So, ΔAEC ≅ ΔBED. Thus,
AE ≅ EB.
This means that segment CD bisects segment AD.
E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1
We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"
So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4
The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)
Answer: 3/4
note: in decimal form, 3/4 = 0.75
Answer:
The Cashier
Step-by-step explanation:
First you take off $2.00 of every $18.95 of the game and you get $16.95 you add 16.95 three times and after that you add 11.50 twice and then the sum of both the earbuds and the video games and you add both together and you get $73.85
The original gross margin is (2.50 / 1.00) - 1 = (2.5 - 1) = 1.5 = 150%
the cost increases 0.25, is an increase of (0.25 / 1.00) = 25%
in order to keep the same gross margin, you need to increase the sale price by 25%
2.50*1.25 = 3.125
Then the gross margin is (3.125 / 1.25) - 1 = (2.5 - 1) = 1.5 = 150% ( same as original )
