Answer: 17/24
Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.
3/24 + 14/24
To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.
So 1/8 + 7/12 is 17/24.
In step 2, you are adding 35.10 and 84.60. You carry the 1 to the 1's place after you add up the tenths and the hundreds place.
Since we know the side length of the square (6), we can calculate its diagonal using pythagoras.
diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²
D) 48
2 packs of plates is 48 plates and 3 packs of cups os 48 plates.
5.1 in
Since the area of a square is s^2, you can take the square root of 26 to find the answer
