Answer:
x+2y=0
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y-(-1/2x)=2-2
y+1/2x=0
1/2x+y=0
2(1/2x+y)=2(0)
x+2y=0
draw a rectangle around it:
the widest part is from about -3 to 2 which is 5 units wide
height is from 3 to -4, which is 7 units
5*7 = 35
the top and bottom are angled so you can subtract a little for that
so I would estimate around 32 square units
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream
Equation1 ---- x + y = 50 (the sum of all the ice creams they sell)
Equation 2 ---- 3x + 5y = 180 Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides. (I could have done subtracted x - it did not matter). Now we have x= ₋ y +50 (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50
3 (-y +50) + 5y = 180
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1 is x+y=50 we can replace y with 15
x + 15 = 50 Now subtract 15 from both sides x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5 = + <u>75
</u> $180
Answer:
j + 47 = 53
Step-by-step explanation:
