Answer:
x=1
Step-by-step explanation:
Move the constant to the right side of the equation and change its sign to the opposite. the constant in this equation is +2. the new equation looks like this: 5x=7-2. After subtracting on the right (7-2) the new equation should be 5x=5. divide both sides of the equation by 5. the answer is x=1
Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify

Since 24/6 = 4. So 4 is a integer, rational number, and whole number
Answer:
To find part A you need to find common denominator.
1/3 + 3/5=
5/15 + 9/15= 14/15
His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.
To find part B you also need to find the least common denominator.
11/12-5/6=
11/12-10/12=1/12
His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.
Step-by-step explanation:
Answer:No
Step-by-step explanation: