First, find common denominators
(3/4)(4/4) = 12/16
(3/8)(2/2) = 6/16
12/16k + 6/16k = 12
Simplify. Combine like terms
18/16k = 12
Isolate the k. Multiply 16/18 to both sides
(18/16)k(16/18) = 12 (16/18)
k = 12(16/18)
Multiply 12 with 16, then divide by 18
12 x 16 = 192
192/18 = 10.67 (rounded)
10.67 = 10 67/100 is your answer
hope this helps
Since the formula for circumference is pi*diameter, you multiply 3.14 by 622 mm to get 1953.08 mm as your circumference.
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Answer: x³+2x²-22x+12
Step-by-step explanation:
the product of functions: (hg)(x)
Use FOIL to solve this (First Outer Inner Later)
(x+6)(x²-4x+2)
=x³-4x²+2x+6x²-24x+12
=x³-4x²+6x²+2x-24x+12
=x³+2x²-22x+12
