Hey there! I'm happy to help!
Let's represent the total number of marbles with the variable t. We have the following information.
1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)
Now, we solve for t.
1/2t+1/6t+8=t
We combine like terms.
2/3t+8=t
We subtract t from both sides.
-1/3t+8=0
We subtract 8 from both sides.
-1/3t=-8
We divide both sides by -1/3.
t=24
Therefore, there ae 24 total marbles in the bag.
Have a wonderful day! :D
It would be D because it’s a non repeating decimal
Answer:
It is 8n, because there is no greater term that is the factor of both 32n2 and 56n.
Step-by-step explanation:
The greatest common factor of the two expression is the term 8n.
It is the highest factor of both expressions that will divide them.
Given:
32n² 56n
Factor them:
2n(16n 28)
4n(8n 14)
8n(4n 7n) - Beyond this, no common factor can divide them both.
Therefore 8n is the greatest common factor of the two.
The formula for weight in linear function is y= 7.7x + 7
<u>Step-by-step explanation:</u>
Given that,
- The weight of the born baby = 7 lbs
- The weight of the baby at 10 years = 84 lbs.
To find the linear function, the rate of change of weight must be calculated.
<u>To find the rate of change of the baby's weight:</u>
The change in the weight is from 7 lbs to 84 lbs.
- The total change = 84 - 7 =77
- The rate of change = 77 / 10 years = 7.7
Therefore, the rate of change of weight of the baby is 7.7 lbs.
This means that, every year the weight has been increased by 7.7 lbs and in 10 years the baby gained a weight of 84 lbs.
<u>From this information, the linear function is given as :</u>
Total weight = 7.7(number of years) + born weight.
⇒ y= 7.7x + 7
where,
- The born weight is 7 lbs.
- y is the total weight of the baby
- x is the number of years