<span>(x - 2)(x - 3) = 2
x^2 - 2x - 3x + 6 - 2 = 0
x^2 - 5x + 4 = 0
(x -4)(x - 1) = 0
x - 4 = 0; x = 4
x - 1 = 0; x =1
{1,4}
answer
</span><span>{1, 4}</span>
Answer:
<em>The distance between the two villages is 16.5 Km</em>
Step-by-step explanation:
<u>Constant Speed Motion</u>
It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.
If v is the constant speed, the object travels a distance x in a time t, given by the equation:
x=vt
Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.
Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.
t=55 min = 55/60 hours
For the sake of precision, we won't operate the division so far. Compute the distance:
x=18 *55/60=16.5 Km
The distance between the two villages is 16.5 Km
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).
We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15
Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.
So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:
4 1/2 (times 6 to both top and bottom) =
4 6/12
2 1/4 (times 3) = 2 3/12
6 1/3 (times 4) = 6 4/12
Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.
Thus, Peter makes a total of 13 1/2 cups.
Hope this made sense! tell me if anything is confusing/incorrect :))
answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step
Step-by-step explanation:
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
