Answer:
x=1 and y= 5
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=
+4
or
y=-1+4
or
y= 5
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4(+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5
Overall, the goal is to find the value of x and then use this and the given total to find the percentage of x. First, to do this, we must set up our equations based on the given information.
x + y + z = 510
z = (3/2)y
y = 3x
Now, we can begin to solve with substitution. The ultimate goal is to get the first equation to be regarding one variable and them work backwards using that found value.
Substitute the 3rd equation into the second.
z = (3/2)(3x) ----> Simply
z = (9/2)x
Now, when we plug in z and y into the first equation, only x will be present.
x + (3x) + (9/2)x = 510 ---> Combine like terms.
4x + (9/2)x = 510 ---> Get a common denominator.
(8/2)x + (9/2)x = 510
(17/2)x = 510 -----> Multiply both sides by 2/17
Now, if you understand what you are looking at, you know that you just found your answer which is 2/17 because you are about to multiply that by the total.
2/17 = .12 × 100 = 12%
If you did not know that, you can continue solving and then find the answer using part over whole or the total books of school x divided by the total books from all schools. You will get the same answer!
x = (2/17)×510
x = 60
60/510 = .12 × 100 = 12%
I hope this helps!
Average rate of change of the function: 
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is 
, so
So, the average rate of change in this interval is:
Learn more about rates of change:
brainly.com/question/4152194
brainly.com/question/12941985
#LearnwithBrainly
Answer:
Law of Cosines
Angle A = 45°
Angle B = 51°
Angle C = 84°
Step-by-step explanation:
Law of sines is used when we are given
a) two angles and one side or
b) two sides and non-included angle
Law of cosines is used when we are given
a) three sides or
b) two sides and included angle
In the given question we are given three sides so, Law of Cosines will be used to solve the triangle.
Law of Cosines is:
We will find the three angles A ,B and C of the triangle using above formula.
a= 10, b=11, c=14
Putting values and finding angle A
Now finding angle B
Now finding angle C
