Answer:
13 inches
Step-by-step explanation:
To find the greatest number of inches possible in the length of each piece, we need to find the greatest common divisor of 39, 52 and 65.
So, the divisors of 39 are: 1, 3 and 13
The divisors of 52 are: 1, 2, 4, 13 and 26
The divisors of 65 are: 1, 5 and 13
Therefore, the common divisors are 1 and 13. Finally the greatest common divisor is 13. It means that the greatest number of inches possible in the length of each piece is 13 inches.
<u>Part 1)</u> "Four times the difference of a number and
is
"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 1) is</u>

<u>Part 2)</u> "One third of a number is
less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 2) is</u>

<u>Part 3)</u> "Ten increased by the quotient of a number and
is
"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 3) is</u>

<u>Part 4)</u> "One less than the product of a number and
is
more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 4) is</u>

Circumference
C = pi d
C = 3.14 x 10
C = 31.4 cm
Area
A = pi r^2
A = 3.14 x 5^2
A = 78.5 cm^2
0.4x + 3.9 = 5.78
1. Subtraction property of equality:
Subtract 3.9 from both sides of the equal sign:
0.4x = 1.88
2. division property of equality:
Divide both sides of the equal sign by 0.4:
X = 4.7