9514 1404 393
Answer:
660 seconds
Step-by-step explanation:
The least common multiple of 45 seconds and 80 seconds is ...
45×80/GCF(45,80) = 45×80/5 = 720
The next change will be 720 seconds after the last one, so 720 -60 = 660 seconds from now.
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<em>Additional comment</em>
You can find the least common multiple by looking at the factors of 45 and 80:
The LCM will include one copy of the common factor and all of the unique factors:
LCM(45, 80) = 5×9×16 = 720
You can see that the greatest common factor is 5, and that the LCM is the product (5×9)(5×16) divided by 5:
LCM(a, b) = a×b/GCF(a, b)
85÷(9×5)-(10×4)
85÷(45)-(40)
85/5
17
I think I did this right....
the answer is x^2+2x-24
steps-
(x+6)(x-4); x(x)+x(-4) 6(x)+6(-4)
(x^2-4x)+(6x-24)
x^2+2x-24
Answer:
x= -2 OR x=10
Step-by-step explanation:
(x−3)(x−5)=35
Step 1: Simplify both sides of the equation.
x2−8x+15=35
Step 2: Subtract 35 from both sides.
x2−8x+15−35=35−35
x2−8x−20=0
Step 3: Factor left side of equation.
(x+2)(x−10)=0
Step 4: Set factors equal to 0.
x+2=0 or x−10=0
x=−2 or x=10
Answer: No real solution.
Step-by-step explanation:
First solve
Past this point, we can't solve and obtain real values of x. Therefore, there are no real solutions.