Answer:
<u>5</u> is the GCF
Step-by-step explanation:
The factors of 35 are: 1,5,7,35
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 25 are: 1, 5, 25
The highest or greatest factors that all of them have in common is 5.
Hey!
To divide fractions, you have to keep, change, flip.
Keep 3 1/2(7/2)
Change ÷ to ×
Flip 2 1/4(9/4) = 4/9
Now multiply the improper fractions

<em>The 1st choice matches the answer. The answer is the 1st choice.</em>
Good luck and hope this helps! :)
Answer:
Step-by-step explanation:
So you can use the special formula for 30-60-90 triangle or you can use the whole Soh Cah Toa thing.
I honestly prefer trig. so a is the opposite side of the 30 deg and 12 is the hyp. This should scream sine to you since sine goes with opposite/hypotenuse.
sin(30 deg)=a/12
Multiply both sides by 12
giving a=12 sin(30)
Type into calculator unless you know your unit circle well.
a=6
Answer:
100.7%
Step-by-step explanation:
Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.
We can setup a formula using our period of time and the money he invested into the bank:

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.