<span>To solve these GCF and LCM problems, factor the numbers you're working with into primes:
3780 = 2*2*3*3*3*5*7
180 = 2*2*3*3*5
</span><span>We know that the LCM of the two numbers, call them A and B, = 3780 and that A = 180. The greatest common factor of 180 and B = 18 so B has factors 2*3*3 in common with 180 but no other factors in common with 180. So, B has no more 2's and no 5's
</span><span>Now, LCM(180,B) = 3780. So, A or B must have each of the factors of 3780. B needs another factor of 3 and a factor of 7 since LCM(A,B) needs for either A or B to have a factor of 2*2, which A has, and a factor of 3*3*3, which B will have with another factor of 3, and a factor of 7, which B will have.
So, B = 2*3*3*3*7 = 378.</span>
Answer: 18 and 36
Step-by-step explanation:
The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.
Answer:
1/2
Step-by-step explanation:
a dice has six sides and the highest number is 6
the dice should have the numbers
1,2,3,4,5,6
which 1,3,5 are odd numbers so it's a 1/2
Answer:
2 numbers that multiply to make -21 = 3 x (-7)
2 numbers that add up to -4 = 3 - 7
Step-by-step explanation:
2 numbers that multiply to make -21 = 3 x (-7) = -21
2 numbers that add up to -4 = 3 - 7 = -4
Since it is f of g you have to start by plugging in g(x) into f(x)
(4-3x)^2-3
Then just solve the equation
(4-3x)^2-3
(4-3x)(4-3x)-3 Square the binomial
8-12x-12x+9x^2-3 Combine like terms
5-24x+9x^2 Final answer