Answer:
x = 11
Step-by-step explanation:
From the diagram, we find,
(2x - 16) + (x - 8) = 9
=> 2x - 16 + x - 8 = 9
=> 2x + x - 16 - 8 = 9
=> 3x - 24 = 9
=> 3x = 9 + 24
=> 3x = 33
=> x = 33/3
=> x = 11
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
Sorry this took so long! I managed to do everything except for the parts involving standard deviation. (I tried but I couldn't quite figure it out.)
~Hope this helps!~
Answer:
22.5 km
Step-by-step explanation:
divide 30 by 4 times it by 3
Factors are the numbers you multiply together to get another number. When you find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors<span>"
</span>Example: 12 and 30
• The factors of 12 are: 1, 2, 3, 4, 6 and 12
• The factors of 30 are: 1, 2, 3, 5, 6, 10, 15 and 30
<span>So the common factors of 12 and 30 are: 1, 2, 3 and 6
</span>
-Hope this helped.
