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.
51450 divided by 98
is 525 with remainder 0
0 0 5 2 5
9 8| 5 1 4 5 0
0
5 1
0
5 1 4
4 9 0
2 4 5
1 9 6
4 9 0
4 9 0
0
Answer:
45x happy to help ya :)
Step-by-step explanation:
If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
x = (5/6)*9
x = 7.5
5. 6√3
6. x = 10√3 y = 30
7. x = 34 y = 17√3
8. 30
9. SinA = 3/5 CosA = 4/5
10. Tan20 = 9/x
Multiply both sides by x to get it on the other side
x(tan20) = 9
Divide 9 by tan20 to get x.
x = 9/tan20
x = 24.7
