Answer: c)She should have multiplied 15 by 3 instead of dividing.
Step-by-step explanation:
Number of quilts Ruby plan to make in one month= 3
which means if Ruby makes more than 3 quilts, the time will be more than 1 month.
To find the number of months to make 15 quilts, she need to divide 15 by 3
Thus, the number of months to make 15 quilts=5
Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5 month she would make fewer than 3 quilts.
She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.
Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.
Its b
2854/32 = 1427/16 = 89 3/16
Answer:

Step-by-step explanation:





I used the following rules:


Square root of 6 times 16 will give us 39.19
The square root of 48 times 32 [which gives us 1536] is also equal to 39.19
The square root of 1536 is equal to 39.19
Hence, x is equal to 32
Hope this helped! :D
Answer:
Therefore x=9
Step-by-step explanation:
Give that,
log x+ log (x-3) = log 54
log x(x-3) =log 54 [
]
x(x-3) = 54
Now expand the above equation to get a quadratic equation
x²-3x=54
⇒x²-9x+6x-54=0
⇒x(x-9)+6(x-9)=0
⇒(x-9)(x+6)=0
⇒x-9=0 or, x+6=0
⇒x=9,-6
Now putting x= -6 in the given expression,
log(-6)+log(-6-9)=log 54.
Since log (-6) does not exist.
Therefore x=9