Answer:
Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.
Step-by-step explanation:
Let R and B be the number of red and blue marbles respectively.
Then,
R+B = 36
R:B = 5:4
Therefore,
Ratio of red marbles = 5/9
Ratio of blue marbles = 4/9
This means,
R = 5/9*36 = 20 marbles
B = 4/9*36 = 16 marbles
If one blue marble is removed from the bag, the new B= 16-1 = 15 blue marbles and the new total of marbles in the bag = 36-1 = 35 marbles.
The new ratios are
R = 20/35 =4/7
B = 15/35 = 3/7
That is, R:B = 4:3
The reasoning of the student is wrong. When a marble is removed, both the number of blue marbles changes as well as the total of the marbles in the bag. In other words, both the values in the ratio reduce by 1.
Hello. In order to solve this problem, you need to write an equation. Hence, you determine this equation:
8 + 2x = 8(x-5)
8 + 2x = 8x - 40
8 + 40 = 8x - 2x
48 = 6x
x = 8.
Answer:
V = $1213.03
Step-by-step explanation:
We can determine the amount of money after 15 years with the given formula:
(1)
Where:
V: is the value of the account in t years =?
P: is the principal initially invested = $686
r: is the rate of interest = 3.8% = 3.8/100 = 0.038
t: is the time = 15 years
By substituting the above values into equation (1) we have:
Therefore, the amount of money is $1213.03.
I hope it helps you!
Find the median of the following data:<br>
10,16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10,9
fgiga [73]
Answer:
The median is 11.
Step-by-step explanation:
First arrange the data in ascending order:
4, 5, 5, 8, 9 , 10, 10, 10, 12, 14, 15, 16, 16, 18, 19, 21
There are 16 numbers so the median is the mean of the middle 2 numbers in the list. That is the mean of the 8th and ninth number.
Median = 10 + 12 / 2
= 11.