3(6x-2)+ 2(x+5)
= 3*(6x)-3*2 +2x +2*5 (distributive property)
= 18x -6 +2x +10
= (18x +2x) +(10-6)
= 20x +4
The final answer is 20x+4.
Hope this helps~
Answer:
113.1cm^2
Step-by-step explanation:
We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.
3/4 × 2 2/5
Turn 2 2/5 into an improper fraction.
2 2/5 = (5 × 2) + 2 = 12
So, 2 2/5 = 12/5
So, our new question is : 3/4 × 12/5
Multiply the numerators (top numbers) with one another.
Numerators : (3 × 12) = 36
Multiply the denominators (bottom numbers) with one another.
Denominators : (4 × 5) = 20
So, our answer is 36/20
However, we need this to be a mixed number.
So, how many times does 20 go into 36? Once!
So, Multiply 20 with 1, and then subtract that number from 36! :)
20 × 1 = 20
36 - 20 = 16
So, our answer is :
1 16/20
Then, you simplify it once more.
Divide the numerator and denominator by 4.
16 ÷ 4 = 4
20 ÷ 4 = 5
So, our final answer is 1 4/5
~Hope I helped!~
the answer is 3/2 to this question
The amount of the radioactive material in the vault after 140 years is 210 pounds
<h3>How to determine the amount</h3>
We have that the function is given as a model;
f(x) = 300(0.5)x/100
Where
- x = number of years of the vault = 140 years
- f(x) is the amount in pounds
Let's substitute the value of 'x' in the model
f(x) = 300(0.5)x/100


f(140) = 210 pounds
This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.
Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds
Learn more amount radioactive decay here:
brainly.com/question/11117468
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