Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be 
and Rose's age will be 
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have 
years, and Rose will have 
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.
Answer:
The probability you will get a head at least once is 50%.
Step-by-step explanation:
Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.
A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.
So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.
Answer:
45x
Step-by-step explanation:
Just expand and coolect to get 9x5=45 and add x
Answer:
y = 4
x = -6
Step-by-step explanation:
multiply first equation by 3
3×(5x+4y)= -14 ➡ 15x + 12y = -42
multiply second equation by -5
-5×(3x+6y)= 6➡ -15x -30y = -30
now add both equations up
15x +12y -15x -30y = -42 -30 (15x will eliminate -15x)
-18y = -72
y = 4 use this to find value of x
3x + 6×4 = 6 ➡ ex = -18 ➡ x = -6
