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.
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
79 degrees because you should use the term SOH CAH TOA look it up it’s really easy to remember
A)
If it has an area of 4(x+3) we can think that one side has a length of 4, and the other has a length of (x+3).
So, if the dimensions were doubled, 4 x 2 = 8. And 2(x+3) = 2x+6.
The new area would be:
8(2x+6) = 16x+48.
B)
The ratio will be the same. For example lets plug in some points:
x=0
4(0+3) = 4(3) = 12
And
16(0)+48 = 0+48 = 48
So the ratio is 48/12 = 4
Lets plug in another point.
x=2
4(2+3)= 4(5) = 20
And
x=2
16(2)+48 = 32 + 48 = 80
80/20 = 4
So the ratio is the same :)
Answer:
a) (1, -2)
Step-by-step explanation:
The given inequality is y < -|x|
We substitute the point to see which points satisfy the inequality.
For a) (1, -2), we substitute x=1 and y=-2 to get:
-2 < -|1|---------->-2<-1--------->True
For b) (1, -1), we substitute x=1 and y=-1 to get:
-1 < -|1|---------->-1<-1--------->False
For a) (1, 0), we substitute x=1 and y=0 to get:
0 < -|1|---------->0<-1--------->False
The first choice is correct.
