Bob has 10 green beads you can show this by dividing 120 by 4 and that then leaves 30 beads which is 1/4 of the original amount of beads. Now knowing that Bob has 30 beads you put it into an equation with x over 30 equal to 2/3 that then makes you able to see that if you multiple the denominator by 10 you get 30 so you do the same to the numerator causing x to be 20 and that is the amount of the red beads leaving 10 beads to be green.
Since bot of the expressions in x are equal to y we can equate them as follows:-
6x + 9 = 7x + 7
9 - 7 = 7x - 6x
x = 2
and y = 6(2) + 9 = 21
THe answer is Choice B
Using a system of equations, it is found that 1530 more novels have been bought in total.
For the system, we have that:
- x is the number of novels.
- y is the number of dictionaries.
The ratio of the number of novels to that of dictionaries is 2:3, hence:
Total number of novels is 624, hence:
Buys z more novels, and the ratio becomes , hence:
1530 more novels have been bought in total.
A similar problem is given at brainly.com/question/17096268
9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
There are 6,840 different combinations of people for president, secretary, and treasurer, assuming that each person may have a single job at a time.
Start with 20 candidates for president.
That leaves 19 people for secretary.
And there are 18 people remaining for treasurer.
20 • 19 • 18 = 6,840