Answer:
d
Step-by-step explanation:
18/36 is equivalent to 1/3
Answer:
-16 and -1
Step-by-step explanation:
-16 *-1 = 16
-16+-1=-17
Step-by-step explanation:
In the first part, he was travelling with twice the speed, or Vs, for distance
48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part :
48 - d = 2V * 2
⇒d + 4V = 48
Second part:
d = V * 2
⇒d = 2V
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48
s = 8
The speed in the second part is 8 mph.
<u>The speed in the first part is 2s = 2(8) = 16</u>
I hope this helps
Answer:
x=2, y=6
Step-by-step explanation:
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
