K(-1+1.01)+0.03=-2.45-1.81k
0.01k+1.81k=-0.03-2.45
1.82k=-2.42
k=-2.45\1.82=1.3
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
Answer:
9.72°
Step-by-step explanation:
Step one
Given data
let the hypotenuse be the distance the cyclist traveled = 6.5km
and let the opposite be the height of the mountain = 1.1 km
Step two:
<u>Applying SOH CAH TOA</u>
sin ∅= opp/hyp
∅= sin-1 opp/hyp
∅= sin-1 1.1/6.5
∅= sin-1 0.169
∅= sin-1 0.169
∅=9.72°
For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:

Then, for f = 31 we have:

From here, we clear the number of points:




Answer:
The equation to find the number of carlos points is:

Then, Carlos scored:

M=slope
In this case the slope would be $25
y=mx+b
y=25x+45
Answer: m=25