Answer:
x = 4
Step-by-step explanation:
DO + OB = DB
15 + 3x + 7 = 9x - 2
3x + 22 = 9x - 2
3x + 24 = 9x
24 = 6x
4 = x
The given equations are:
5x - 2y = 88
3x + 4y = 58
Multiplying the 1st equation by 2, we get the new set of equations as:
10x - 4y = 176
3x + 4y = 58
Adding the two equations, we get:
10x - 4y + 3x + 4y = 176 + 58
13x =234
x = 18
Using the value of x in 1st equation, we get:
5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1
So, the solution of the equation is (18, 1)
Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.
Answer:


Step-by-step explanation:
A vector quantity is represented by 
where y = y-coordinate and x = x-coordinate
Since vector AB represents a vector in 3rd quadrant,
It starts from point A and ends at B,
Therefore, coordinates of B are (-9, -4)
= 
Similarly vector CD starts with C and ends at D in the 2nd quadrant,
Therefore coordinates of D will be (-5, 4)

Answer:
- The term observed frequencies are found in the sample.
Hence, option 'd' is correct.
Step-by-step explanation:
Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.
Therefore, we conclude that
- The term observed frequencies are found in the sample.
Hence, option 'd' is correct.