I think that it is A. I'm tired and it is two in the morning
Answer:
Step-by-step explanation:
The answers are:
A) {[(-15+5)×2+8]-32÷8}-(-7)
Calculate within parentheses: -16 - (-7)
Add and subtract (left to right): -16 - (-7) = -9
B) (5-2)³×2+[-4+(-7)]÷(-2+4)²
To solve this problem, you need to follow the steps of order of operations.
Calculate within parentheses: 
* 2 + [-4 + (-7)] ÷ (-2+4)²
Calculate within parentheses: *2 -11 ÷ (-2+4)²
Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²
Calculate exponents: 27 × 2 -11 ÷ 4
Multiply and divide: 54 - 11 ÷ 4
Multiply and divide: 54 - 
Add and Subtract: 
Convert improper fractions to mixed numbers: = 
C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)
Calculate within parentheses: -4 ÷ (-3)
Multiply and divide: 
Simplify and convert improper fraction to a mixed number:
= 
= 
Hope this helped! If so, please mark brainliest.
Answer:
10.5
Step-by-step explanation:
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
Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
