Answer:
Given: 
Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

Using distributive property on expression 6(y-2) to solve the further expression as:

Simplify:

Subtract the number 12 from 15 we get 3;
therefore, the expression become:

Subtraction property of equality tells us that subtract the same number from both sides of an equation.
Now, subtract 3 from both the sides we get;

Simplify:

Now, divide by 6 on both the sides we get;

On simplify we get;
y =3 Hence Proved!
Answer:
a) 10*10 inch, b)yes, c) 15
Step-by-step explanation:
a)
we need to calculate the Greatest Common Factor between 30 and 50

then, the square tiles will be 10 inch *10 inch
b) it will change because they don't need to have the largest slab possible so they will use any other comon factor with a size they consider correct for the cheese.
c)

15 squares of 10inch*10inch of cheese could be cut.
Answer: Yes
Step-by-step explanation:
From the question, we are informed that a survey was conducted of 880 college students attending the same university and that they were offered a list of 10 different internet service providers and were asked to select the one they prefer.
Basee on this information, if everyone selected equal numbers, each service provider will get (880 / 10 = 88 students). In this case, if someone has 89 votes, this means that another person will get 87 votes while the remaining 8 service providers gets 88 students each. Therefore, the device provider with 89 votes can come out on top.
Answer:
The correct answer is - 72,349.2
Step-by-step explanation:
Given:
selling price = 7234.92
Initial profit = 16%
we know:
selling price = cost price + profit
Solution:
78300 = cp + 16*cp/100
profit = 78300*16/100 = 12528
cost price = 78300 - 12528 = 65772
then the profit on 10%
= 65772*10/100
= 6577.2
the new selling price = 65772+6577.2
= 72,349.2
Answer:
About 5.5% decrease
Step-by-step explanation:
Here, we want to calculate the percentage increase or decrease and its value.
The first thing to do here is to check if we are going to have a decrease or an increase.
since the value before the change is higher than the value after the change, then what we have is a decrease.
Mathematically, the percentage decrease is calculated as follows;
% decrease = (old value - new value)/old value * 100%
old value = 163 feet
new value = 154 feet
% decrease = (154-163)/163 * 100%
% decrease = -9/163 * 100%
% decrease = -5.52%
Thus the best answer is about 5.5% decrease