First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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Answer:
$265
Step-by-step explanation:
We can use the simple interest formula for this:
<em>P = initial balance</em>
<em>r = annual interest rate</em>
<em>t = time</em>
<em />
First, change 4% into its decimal form:
4% -> 
-> 0.04
Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:
Eugene owes $265 of interest.
adding the 2 equations eliminates x and gives:-
5y = 60
y = 12
Plug y = 12 into the first equation:-
2x + 3(12) = 40
2x = 40 - 36 = 4 so x = 2
Answer is x = 2 and y = 12.
Answer:
81 cm^2
Step-by-step explanation:
1. The area of a square is s^2, where s = length of side. In this case, s = 9.
Therefore, the area is 81 cm^2.
Total area
= 2(5 × 15) + (12 - 5 - 5)(15 - 8)
= 150 + 14
= 164 m²
