Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
You divide 240 into 12 and get your answer. the answer is 20
Answer:
50% of all students scored more than 48 marks.
Step-by-step explanation:
1) The baseline of the box, in a box plot is the first quartile, the line in the middle is the median or Q2 and the last line (or top line) is the third quartile. Namely,
![Q_{1}=30, Q_{2}=48 \:and\:Q_{3}=70](https://tex.z-dn.net/?f=Q_%7B1%7D%3D30%2C%20Q_%7B2%7D%3D48%20%5C%3Aand%5C%3AQ_%7B3%7D%3D70)
2) The Question says "nobody took 30, 48 or 70 as their grades. But 120 students gained less than 70", i.e. 120 are within the 75% of the sample.
3) If
then 50% of the students scored more than 48. And 50% of the students scored less than 48. That is also known as the Median.
So 50%, the half of all students scored more than 48 marks.
Answer:
12
Step-by-step explanation:
If she has 12 cups of yogurt and each cup only uses 1 cup then she can make 12 smoothies
Answer:
The revenue for 105 units will be <u>5985 thousand dollars.</u>
Step-by-step explanation:
Given:
The number of units is represented as 'u' and the revenue in thousands is represented as 'R'.
Let us find the ratio 'R' and 'u' and check the type of relationship.
![\frac{171}{3}=57\\\frac{342}{6}=57\\\frac{855}{15}=57\\\frac{1254}{22}=57](https://tex.z-dn.net/?f=%5Cfrac%7B171%7D%7B3%7D%3D57%5C%5C%5Cfrac%7B342%7D%7B6%7D%3D57%5C%5C%5Cfrac%7B855%7D%7B15%7D%3D57%5C%5C%5Cfrac%7B1254%7D%7B22%7D%3D57)
Therefore, the ratio is a constant. Hence, the relationship is a proportional relationship.
A proportional relationship is given as:
![R=kn](https://tex.z-dn.net/?f=R%3Dkn)
Where, 'k' is the constant of proportionality and is equal to the ratio of any two values of 'R' and 'n'.
Therefore, ![k=57](https://tex.z-dn.net/?f=k%3D57)
So, the relationship is ![R=57n](https://tex.z-dn.net/?f=R%3D57n)
Now, we are asked to determine 'R' when
. Plug in 105 for 'n' in the above relationship and find 'R'. This gives,
![R=57\times 105\\R=5985\ thousands](https://tex.z-dn.net/?f=R%3D57%5Ctimes%20105%5C%5CR%3D5985%5C%20thousands)
Therefore, the revenue for 105 units will be 5985 thousand dollars.