Answer:
24,840 cubic inches
Step-by-step explanation:
18 x 30 = 540 - rectangle house front surface area
540 + .5(30 x 10) = 690 - triangle house front surface area
690 x 36 = 24,840 - (rectangle + triangle surface area) x depth
For the numeric part, you'll have to find the GCD of 15 and 25, which is 5. So, we can factor a 5 and we have

As for the literal part, you can factor
because it's the power of s with the smallest denominator. So, we have

Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
Answer:
Three hundred forty million two hundred fifty-three thousand five hundred thirty-five