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:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Answer:
please do the math luke a lesson and the beta is very weird so you want to do something about that so i suggest that you do 300.
Answer:
TP = 5. greater than
Step-by-step explanation:
1. Out of the 4 options, HH, HT, TH, TT, there is one option we want (HT) which is one our of the four options. that means that the theoretical probability is 1/4 = 25%. Since there were 20 flips, the theoretical probability is 25% of 20 which is 5.
2. For experimental probability, its what actually happenned. Out of the 20 flips, 6 were HT so comapared to the Theoretical probability, the experimental probability was higher.
Answer:
11.59x² -7.66x + 9.85
Step-by-step explanation:
3.63x² - 4.54x + 7.96x² +9.85 -3.12x
11.59x² -7.66x + 9.85
