Answer:
+$90;
$1,600
Step-by-step explanation:
The equation, , given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
Equation of an ellipse
→having center (0,0) , vertex ( and covertex and focus is given by:
As definition of an ellipse is that locus of all the points in a plane such that it's distance from two fixed points called focii remains constant.
Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:
Distance from (a,0) to (c,0) is = a-c =
Distance from (-a,0) to (c,0) is = a + c =
a -c + a +c
= a + a
= 2 a →(Option A )
Answer:
15 units
Step-by-step explanation:
I just took this geometry test with the same question. Its 15
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