2/10 which reduce to 1/5, so Maggie is buying 1/5 of the cake. 1/2-3/10=2/10. The 1/2 will be 5/10, so 5/10-3/10=2/10.
I hope this is right!
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
Answer:
A=80 , B=65, C=35
Step-by-step explanation:
A-B=15 ⇒A=B+15
B-C=30⇒-C=30-B ⇒C=B-30
the sum of angle of a triangle = 180
A+B+C=180 ( substitute A and C)
B+15+B+B-30=180
3B-15=180
3B=180+15
B=195/3=65
C=B-30 ⇒ C=65-30=35
A=B+15=65+15=80
check : A+B+C=180
80+65+35=180 ( correct)
Consider the prime factorization of 20!.
The LCM of 1, 2, ..., 20 must contain all the primes less than 20 in its factorization, so
where is some integer not divisible by any of these primes.
Compare the factorizations of the remaining divisors of 20!, and check off any whose factorizations are already contained in the product of primes above.
- missing a factor of 2
- ✓
- missing a factor of 2²
- missing a factor of 3
- ✓
- missing a factor of 2
- ✓
- ✓
- missing a factor of 2³
- missing a factor of 3
- missing a factor of 2
From the divisors marked "missing", we add the necessary missing factors to the factorization of , so that
Then the LCM of 1, 2, 3, …, 20 is
the answer is d since theres 5 students absent and 20x5 is 100 and every student has 5 markers