Answer:
25
Step-by-step explanation:
If Olivia had 10 more p than Sophia, then Olivia has 35, and Sophia has 25.
35 + 25 = 60!
The solution to the inequality expression is x ≥ 30
<h3>How to solve the
inequality expression?</h3>
The inequality expression is given as:
8x - 3(2x - 4) ≤ 3(x - 6)
Open the brackets in the above inequality expression
8x - 6x + 12 ≤ 3x - 18
Collect the like terms in the above inequality expression
8x - 6x - 3x ≤ -12 - 18
Evaluate the like terms in the above inequality expression
-x ≤ -30
Divide both sides of the above inequality expression by -1
x ≥ 30
Hence, the solution to the inequality expression is x ≥ 30
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Answer:
x1 = t, x2 = -t and x3 = 0
Step-by-step explanation:
Given the system of equation
x1 + x2 + x3 = 0 .... 1
x1 + x2 + 9x3 = 0 .... 2
Subtract both equation
x3 - 9x3 = 0
-8x3 = 0
x3 = 0
Substitute x3 = 0 into equation 1
x1 + x2 + 0 = 0
x1+x2 = 0
x1 = -x2
Let t = x1
t = -x2
x2 = -t
Hence x1 = t, x2 = -t and x3 = 0
Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.
We are to find the probability of selecting 1 red apple and 2 yellow apples.
Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.
Then, we have
Therefore, the probability of event A is given by
Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Answer:
B
Step-by-step explanation:
To evaluate g(7) substitute x = 7 into g(x) , that is
g(7) = 
× 7 - 
= 
- 
= 
→ B
