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.
Answer:
1395in^3
Step-by-step explanation:
First find the volume of the cuboid, 15in x 9in x 7in = 945in^3
Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.
V=(15in)(9in)(10in)/3 = 450in^3
450in^3 + 945in^3 = 1395in^3
Answer:
6
Step-by-step explanation:
First off we want to combine "like-terms"
1. Subtract 6x , so it will look like this: 2x-6x+12=-12
2. Subtract the -12 from the first side so it looks like 2x-6x=-12-12
3. Combine like terms. So: -3x=-24 . The negatives will cancel out when dividing 24/3.
The final answer is 8 after dividing. Hope this helped!
Answer:
The answer is: 12.5%
Step-by-step explanation:
Divide 11 by 88. Multiply the result by 100 to get percent.
11/88 = 0.125
0.125 x 100 = 12.5%
Hope this Helps!! Have an Awesome Day!! (-:
