Answer:
7
Step-by-step explanation:
5x + 2y = 12
-6x - 2y = -14
Add them
-x = -2
x = 2
5x + 2y = 12
(5*2) + 2y = 12
10 + 2y = 12
2y = 2
y = 1
Probability is all about multiplying fractions.
The first fraction is the probability of picking a girl.. so how many of the 12 total children are girls. (8/12)
The second fraction is the probability of picking a boy.. so how many of the 11 remaining children are boys. (4/11)
8/12 X 4/11 = 8/33 -> this isn't even an option but I'm like 10000% this is the right answer..
I started off this answer feeling so confident lol. good luck.
Answer:
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
Step-by-step explanation:
we are given

we can use rule to change exponent into radical
![\sqrt[n]{a} =a^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
so, we can write as


now, we can use rule
and we can write our term as
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6