The least common denominator would be 2x^2
that is because you would have to multiply the first fraction by 2x
but you can't just somehow simplify 2x^2, it wouldn't be right
4/x * -4/2x^2
2x*4/(2x*x) * -4/2x^2
8x /2x^2 * -4/2x^2
Then you would complete it
Hope this helps :)
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded
Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)
Begin by using the cosine rule to find the unknown side.
Where a- unknown side, b is 12, c is 16 and angle in between is 108°
The cosine rule...
a² = b² + c² - 2bc cosA
= 12² + 16² - (2×12×16 cos108°)
= 518.655076
Taking the positive
square root...
a = 22.774
a = 22.8 cm nearest tenth
An aritmetic sequcne is represented as

where
an=nth term
a1=first term
d=common differnce, or how much each term increases by
n=which term
example
1,3,5, etc
first term is 1
common difference is 2 because it increases by 2 each time
so the formula would be

if we had
5,3,1
first term s 5
common difference is -2 since it goes up by -2 each time
so formula is

hope this helps
Step-by-step explanation:
If a sequence is an arithmetic progression (AP), there will be a common difference d between the terms.
(-0.7) - (-2.7) = 2
(1) - (-0.7) = 1.7
(2.4) - (1) = 1.4
Since the differences are not the same, there is no common difference d and it is not an AP.