Answer:
1. Proportional
2. Not proportional
3. Not proportional
Step-by-step explanation:
Let's see what percentage of the $8.80 order is the $1.32 tip.
To find what percent a p[art is of a whole, divide the part by the whole and multiply by 100%.
$1.32/$8.80 * 100% = 15%
Mike's tip was $15% of the total.
1. $2.22 tip on $14.80 order
15% of $14.80 = 0.15 * $14.80 = $2.22
Tip is proportional
2. $1.86 tip on $10.50 order
15% of $10.50 = 0.15 * $10.50 = $1.58
Tip is nor proportional
3. Same as option 2 above.
Interpreting the situation, it is found that:
- 1 of the genius is older than 15.
- The other 99 are younger than 15.
-----------------------------------------
If you were to choose any 2 geniuses from the group, at least 1 of them would be younger than 15 years of age.
This means that at least 100 - 1 = 99 are<u> younger than 15</u>, that is, either 99 or all 100.
At least 1 of the math geniuses is older than age 15.
Thus 1 is older than 15, and the other 99 are younger.
A similar problem is given at brainly.com/question/24294701
Answer:
![\frac{37}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B37%7D%7B3%7D)
Step-by-step explanation:
![12\frac{1}{3}](https://tex.z-dn.net/?f=12%5Cfrac%7B1%7D%7B3%7D)
When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:
![12*3=36](https://tex.z-dn.net/?f=12%2A3%3D36)
Then, add the numerator the the product:
![36+1=37](https://tex.z-dn.net/?f=36%2B1%3D37)
Now, put the sum over the denominator to get your solution:
![\frac{37}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B37%7D%7B3%7D)
-
To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with
.
Divide
into
:
with a remainder of ![1](https://tex.z-dn.net/?f=1)
Put the remainder over the denominator:
![12\frac{1}{3}](https://tex.z-dn.net/?f=12%5Cfrac%7B1%7D%7B3%7D)
Therefore, our solution is correct!
Answer:
do u do this on calatour
Step-by-step explanation:
The explicit rule for nth term is 60-30n .
<h3>
What is an Arithmetic Sequence ?</h3>
An arithmetic sequence is the sequence of numbers following a pattern and have a certain common difference .
The nth term for a sequence is given by
![\rm a_n = a_1 + (n-1)d\\](https://tex.z-dn.net/?f=%5Crm%20a_n%20%3D%20a_1%20%2B%20%28n-1%29d%5C%5C)
In the given question the sequence is
30 , 0 , -30 , - 60
Here the first term is 30
the difference is -30
![\rm a_n = 30 + (n-1)(-30)\\\\\\\rm a_n = 30 -30n +30\\\\\\\rm a_n =60-30n\\](https://tex.z-dn.net/?f=%5Crm%20a_n%20%3D%2030%20%2B%20%28n-1%29%28-30%29%5C%5C%5C%5C%5C%5C%5Crm%20a_n%20%3D%2030%20-30n%20%2B30%5C%5C%5C%5C%5C%5C%5Crm%20a_n%20%3D60-30n%5C%5C)
Therefore, the explicit rule for nth term is 60-30n .
To know more about Arithmetic Sequence
brainly.com/question/15412619
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