<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>
EXPLANATION
Let's see the facts:
$Sandwiches= 3*$Salads
Bill = $24.92
We can represent this in an equation:
Total Bill = Sandwiches + Salads
Let's call to Sandwiches "x" to Salads "y" and to Bill "B"
Then, the equation will be:
B = x+y = (3*y) + y
Applying distributive property:
24.92 = 3y + y
Adding similar terms:
24.92 = 4y
Dividing both sides by 4:
6.23 = y
Switching:
y=6.23
As we know, y variable represent the salads cost, so:
Answer is $6.23.
Answer:
(X+5)(x^2-5x+25)
Step-by-step explanation:
Answer:
x = 35
Step-by-step explanation:
Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.
4x + 20 = 3x + 55
Have x on one side of the equation by subtracting 3x from both sides.
x + 20 = 55
Subtract 20 from both sides of the equation.
x = 35
