Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
Bill's original ratio is like this...
6 to 10
You need to solve for this...
x to 15
You have to multiply both sides of the original ratio by 15...
6 times 15 = 90
10 times 15 = 150
Your new ratio is 90 to 150
Which reduces to 3 to 5
Yout new ratio is 3 to 5
Answer:
<h2>
( 2 , - 3 )</h2>
Step-by-step explanation:
Using elimination method:
2x - y = 7
3x + y = 3
--------------
5x = 10
Divide both sides of the equation by 5
Calculate
Now, substitute the given value of X in the equation
3x + y = 3
Multiply the numbers
Move constant to R.H.S and change it's sign
Calculate
The possible solution of this system is the ordered pair ( x , y )
<h3>
( x , y ) = ( 2 , -3 )</h3>
---------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
Simplify the equalities
Since all of the equalities are true, the ordered pair is the solution of the system
<h3>
( x , y ) = ( 2 , - 3 )</h3>
Hope this helps..
Best regards!!
Answer:
16 singles, 56 couples
Step-by-step explanation:
There's two linear equations that we can make: one for money and one for people.
Let the number of single tickets be s and the number of couple tickets be c
.
We know that the amount of money we make is $ = 20
s
+
35
c
=
2280
We also how many people can come P =
1
s
+
2
c
=
128
We know that both s are the same and both c are the same. We have two unknowns and two equations, so we can do some algebra to solve for each.
Take the first minus twenty times the second:
20
s
+
35
c =2280
−
20
s
−
40
c
=
−
2560
−
5
c
=
−
280
⇒
c
=
56
Plugging this back into the second equation,
s
+
2
c
=
s
+
2
⋅
56
=
s
+
112
=
128
⇒
s
=
16
Answer:
121.5
Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.
