First we need to get some expressions:
"Four times the number of white marbles" = 4*w
"9 times the number of red marbles" = 9*r
"...exceeded...by 10": So 4*w is 10 more than 9*r or 4*w = 9*r +10
"ratio of blue marbles to red marbles is 3 to 1" : b/r = 3/1
b=3*r
"there is a total of 65 marbles": b+r+w=65
So our system becomes
b = 3*r
65 = b+r+w
4*w = 9*r+10
The first equation allows us to substitute immediately into the second equation so
65 = 4*r+w
however, we can divide the third equation by 4 to get w:
w = (9*r)/4+10/4
This can then be plugged into the second to get:
65 = 4*r+(9*r)/4+10/4 = (16*r)/4 + (9*r)/4+10/4 = (25*r+10)/4
260 = 25*r+10
250 = 25*r
r=10
Now we simply plug this result into the substitutions to get w and b:
w = 90/4+10/4 = 100/4 = 25
b=30
So there are 10 red marbles, 25 white marbles, and 30 blue marbles
Now it sounds like we should be picking some out at random ;)
Answer:
22500
Step-by-step explanation:
150 x 150 will be 22500
Birds 5% = 30
30 / 0.05 = 600
answer: There were 600 6th graders surveyed
Answer:
The answer would be A
Step-by-step explanation:
If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.
The pair of limits that would verify the existence of a vertical asymptote at x = –1 is:
<h3>What are the vertical asymptotes of a function f(x)?</h3>
The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
For a vertical asymptote at x = -1, the denominator is zero at -1, hence both lateral limits at x = -1 go to infinity, that is:
More can be learned about vertical asymptotes at brainly.com/question/27949428
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