Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
Answer: the first one is 4/3. The second one is 8/20. The third one is 8/8. The fourth one is 7/13!
Step-by-step explanation:
We know, I = P * R * T /100
Here, P = 10,000
R = 6%
T = 5
Substitute their values into the expression,
I = 10000 * 6 * 5 /100
I = 300000 / 100
I = 300
Final Amount = Initial Amount + Interest Amount
Final Amount = 10,000 + 300 = 10,300
So, your final answer is $10,300
Hope this helps!
Answer:
Step-by-step explanation:
6x + 5x + 26.5 + 7x - 8 + 4x+21.5+5x+19+10x+13.5 = 720
37x + 72.5 = 720
37x = 647.5
x = 17.5
Vertices = 105 deg, 114 deg, 114.5 deg, 91.5 deg, 106.5 deg, 188.5 deg
Answer: 1/10
Explanation: There are 10 discs in the bag so if you choose a 3 there is a 1 in 10 chance of you getting it
