To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
14 = 6x4 + b
14 = 24 + b
-10 = b
Hope this is accurate & helpful! Let me know if there are any errors or if you have any additional questions.
Hello from MrBillDoesMath!
Answer: x = 7/10
Discussion:
To eliminate fractions multiply each side by 10:
10 ( 9/5x - 2/5 ) = 10 * ( 8x +3)/10 or
10 * ( 9/5)x - 10 *(2/5) = 8x + 3 or
9 *2 x - 2*2 = 8x +3 or
18x - 4 = 8x + 3. Subtract 8x for each side:
18x - 8x - 4 = (8x - 8x) + 3 or
10x -4 = 0x + 3 or
10x -4 = 3 or
10x = 7
x = 7/10
Thank you,
MrB
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (3.14 x 64) / 4
A = 200.96 / 4
A = 50.24 square yards
Hope this helps! :)
Answer:
96.8 percent
Step-by-step explanation:
You can cut off two zeros from both numbers to compare 1000 to 32.
The difference is 968, and the original is 1000.
So you divide 968 by 1000 to get 0.968 which is equal to 96.8 percent.
