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: Not 100% sure but this is what I think.
-4/5
Step-by-step explanation:
(5, -1) (15, −9)
1Y - 2Y / 1X - 2X = SLOPE
-1 + 9 / 5 - 15 = 8/-10 = -8/10 = -4/5
Answer:
<h2><em>The percent decrease is approximately 40%. </em></h2>
Step-by-step explanation:
Step one:
given data
initial count of fish= 850
final count of fish= 500
Required
% decrease
Step two:
% decrease= final-initial/initial*100
substitute
% decrease= 850-500/850*100
% decrease=350/850*100
% decrease= 0.41*100
% decrease= 40.1%
<em>The percent decrease is approximately 40%. </em>
Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7
Answer:
Step-by-step explanation:
Slope intercept form of a line is given by:
Where
m is the slope and b is the y-intercept
Given slope is 
We can write:
Now to find b, we replace x with -3 and y with -4, given, so we have:
So, the equation is:
Now,
The standard form is given by:
So, we take x and y to left side and the constant to right side. Rearranging, we get:
The first answer choice is right.
