Answer:
t = 7
Step-by-step explanation:
5(2t - 3) – 7.5t = 0.5(12 – t)
5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5
10t - 15 - 7.5t = 6 - 0.5t {Now, combine like terms}
10t - 7.5t - 15 = 6 - 0.5t
2.5t -15 = 6 - 0.5t {Add 15 to both sides}
2.5t = 6 - 0.5t + 15
2.5t = 21 - 0.5t { Add 0.5t to both sides}
2.5t + 0.5t = 21
3t = 21 {Divide both sides by 3}
t = 21/3
t = 7
There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).
Answer:
$58.00
Step by step explanation:
We have $3.00+$7.50+$4.00=14.50
And then we multiply $14.50 by 4
Then we get $58.00
Answer:

Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.
The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.
We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.
As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.
We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

Answer:
6(4x + 3y)
Step-by-step explanation:
24 and 18 are both evenly divisible by 6, and so we have
6(4x + 3y)