The unit price is 8.88 cents. You take the number your dealing with (dozen=12) and divide it by the price (1.35)
If you look along the downward sloping line you can see that:
85+2x+x-10=180 combine like terms on left side
3x+75=180 subtract 75 from both sides
3x=105 divide both sides by 3
x=35
Now if L and M are parallel, angle 3 must be equal to x-10 because they are vertical angles (equal opposing angles). We know now that x=35 so:
angle 3 =35-10=25°
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x
Answer:
(-infinity, 2) U [-3]
Step-by-step explanation:
Step 1: we want to solve both equations for x. To do so, get the x variable by itself in both equations.
1.) 3x+4 = 5x+10
-6 = 2x (subtract 10 from both sides and 3x from both sides)
-3 = x (divide 2 from both sides)
2.) -5x + 7 > -3
-5x > -10 (subtract 7 from both sides)
x < 2
(divide both sides by -5, notice that dividing by a negative by a negative number flips the direction on > to < .)
Step 2: apply interval notation to these answers. Since x DOES equal -3 in equation one, it'll be in a bracket. On the contrary, since x has to be LESS THAN 2, it will have a parentheses.
So, our answer is: (-infinity, 2) U [-3]
*note the parentheses around infinity because something cannot equal infinity, it's not just one number*
Answer:
8 cars and 7 vans
Step-by-step explanation:
Let c =number of cars
v = number of vans
c+v = 15
4c+6v = 74
Multiply the first equation by -4 to eliminate c
-4c -4v = -60
Adding the second equation
-4c -4v = -60
4c+6v = 74
-------------------
2v = 14
Divide by 2
2v/2 = 14/2
v = 7
There are 7 vans
c+v = 15
c+7 = 15
c = 15-7
c = 8
There are 8 cars