Answer:
The number of red marbles = 152
The number of blue marbles = 228 and
the number of green marbles = 190
Step-by-step explanation:
Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.
It is given that the total marbles = 570.
Therefore, x + y + z = 570 --- (1)
It is also given that the ratio of red to blue marbles is 2 : 3.
Therefore, x : y = 2 : 3
or 3x = 2y --- (2)
It is also given that the ratio of red to green marbles is 4 : 5.
Therefore, x : z = 4 : 5
or 5x = 4z --- (3)
From (2), 
From (3), 
Substituting the above in (1), we get,
Multiply both sides by 4.
4x + 6x + 5x = 2280
15x = 2280
Divide both sides by 15.
x = 152
Hence,
y = 
y = 228
z = 
z = 190
Therefore,
The number of red marbles = 152
The number of blue marbles = 228 and
the number of green marbles = 190
<u>Check:</u>
Total number of marbles = 152 + 228 + 190 = 570
Ratio of red to blue marbles = 152 : 228 = 2 : 3
Ratio of red t green marbles = 152 : 190 = 4 : 5
Answer: The probability of picking 7 and then picking a number greater than 7 is 
or 0.3
Step-by-step explanation: Probability
Probability shows us the chances of an event occurring.
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
Probability picking a number greater than 7
The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occurring x probability of card 8 and 9 occurring.
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Answer:
$1,600
Step-by-step explanation:
To find out how much of the final balance will come from the interest earned, you have to determine the total value of the deposits made and subtract this from the balance the account will have after 5 years.
amount deposited each month: $175
months: 12*5= 60
Total amount deposited: $175*60= $10,500
Interests: $12,100-$10,500= $1,600
According to this, the amount of the final balance that will come from the interest earned is $1,600.
Answer:
The answer is
<h2>9/100</h2>
Step-by-step explanation:
11.5/128
First convert the decimal to an improper fraction
That's
So we have
Change the division sign to multiplication sign and reverse the second number
That's
Simplify
Divide through by 32
The final answer is
Hope this helps you
Answer:
(2/4)/(4/4) = 0.5 or 2/4
Step-by-step explanation:
