Answer:
Solution: , 3.5, -15, 5
Not a solution: 129 and
Step-by-step explanation:
20 ≥ 5 + 3x
3x + 5 ≤ 20
3x ≤ 20 - 5
3x ≤ 15
x ≤ 5
x must be LESS than or EQUAL to 5
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
Answer:
A. 29i
Step-by-step explanation:
Step 1: Plug in given variables
(2 - 5i)(2 + 5i)i
Step 2: Difference of squares (expand)
(4 - 25i²)i
Step 3: Imaginary numbers rules
(4 - 25(-1))i
Step 4: Combine like terms
(4 + 25)i
(29)i
Your final answer will be 29i
Answer:
-0.55 + 0.53a
Step-by-step explanation:
-0.55 – 0.47a + a
To find an expression equivalent to this, we must simplify the equation to a reasonable extent;
-0.55 – 0.47a + a
= -0.55 + 0.53a
= 0.53a - 0.55
The expression equivalent to the given one is -0.55 + 0.53a or 0.53a - 0.55