Answer:
12x + 18y + 6z + 4x - 4z
Step-by-step explanation:
Given the expression : 3(4x + 6y + 2z) + 4(x – z)
To eliminate the parenthesis ; we use the distributive property :
3(4x + 6y + 2z) + 4(x – z) becomes ;
3*4x + 3*6y + 3*2z + 4*x + 4*-z
12x + 18y + 6z + 4x - 4z
Hence,
12x + 4x + 18y + 6z - 4z
16x + 18y + 2z
.45 * 120 = 54
.072 * 54 = 3.888
54 + 3.888 = 57.888= $57.89
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Answer: 2 and 2/3
Step-by-step explanation: In this problem, we have 2/3 ÷ 1/4.
Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 2/3 ÷ 1/4 can be rewritten as 2/3 × 4/1.
Now we are simply multiplying fractions so we multiply across the numerators or top number number and multiply across the denominators or bottom numbers.
8/3 can be converted into a mixed number by dividing the denominator of the fraction into the numerator of the fraction.
3 divides into 8 2 with a remainder of 2 times so our whole number will be 2 and our new numerator will be 2 as well. We will put this over our original denominator which is 3. Now we have 2 and 2/3.
Here it goes:
a. Because you have four blue marbles out of the 12 total marbles, the probability is 4/12. YOU MUST SIMPLIFY down to 1/3.
b. There are 12 marbles in the bag right now, and the probability is 4/12, you must add some marbles. 1/10 multiplied by 4 is 4/40. There are 4 blue marbles right now, and 40 minus the 12 there are right now is 38, so you would need to add 38 non-blue marbles.