For this case we have the following fractions:

We must rewrite the fractions, using the same denominator.
We have then:
We multiply the first fraction by 11 in the numerator and denominator:

We multiply the second fraction by 2 in the numerator and denominator:

Rewriting we have:
For the first fraction:

For the second fraction:

We note that:

Answer:
The fractions are not equivalent:

Answer:
Sheet metal remaining = 4.1x
cost per square foot of sheet metal = $30
Step-by-step explanation:
Total sheet metal bought = 7.6 ft2
Total sheet metal used = 3.5 ft2
Given equation:
7.6x − 3.5x = 123
Where,
x = cost per square foot
7.6x − 3.5x
Sheet metal remaining = 4.1x
7.6x − 3.5x = 123
4.1x = 123
x = 123 / 4.1
x = $30
Cost per square foot = $30
Answer:
Shown
Step-by-step explanation:
Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.
Let us consider consecutive numbers in this set.

After this we find the totals are more than 20.
When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.
These totals are greater than 20
Hence shown that some three consecutive players have the sum of their numbers at least 20.
(i.e. starting from if we take)
Answer:
y=10/3 x - 2
Step-by-step explanation:
Answer:
A. 
B. 
Step-by-step explanation:
Given that:
An investment of Amount = $8000
earns at an annual rate of interest = 7% = 0.07 compounded continuously
The objective is to :
A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
we all know that:

where;

The instantaneous rate of change = 




At t = 2 years; the instantaneous rate of change is:


(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
Here the amount = 12000



㏑(1.5) = 0.07 t
0.405465 = 0.07 t
t = 0.405465 /0.07
t = 5.79

At t = 5.79

