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DENIUS [597]
3 years ago
10

Rolling two sixes in a row on a number cube. Dependent Or Independent?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0
Independent. The second event is not affected by the first event. Such as, if you pick up a card without replacement.
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15. Jim had 103 red and blue marbles. After giving of his blue marbles and 15 of his red marbles
sesenic [268]

This question above is incomplete

Complete Question

Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?

Answer:

70 Blue marbles

Step-by-step explanation:

Let red marbles = R

Blue marbles = B

Step 1

Jim had 103 red and blue marbles.

R + B = 103.......Equation 1

R = 103 - B

Step 2

After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles

2/5 of B to Samantha

Jim has = B - 2/5B = 3/5B left

He also gave 15 red marbles to Samantha

= R - 15

The ratio of what Jim has left

= Red: Blue

= 3:7

= 3/7

Hence,

R - 15/(3/5)B = 3/7

Cross Multiply

7(R - 15) = 3(3/5B)

7R - 105 = 3(3B/5)

7R - 105 = 9B/5

Cross Multiply

5(7R - 105) = 9B

35R - 525 = 9B............ Equation 2

From Equation 1, we substitute 103 - B for R in Equation 2

35(103 - B) - 525 = 9B

3605 - 35B - 525 = 9B

Collect like terms

3605 - 525 = 9B + 35B

3080 = 44B

B = 3080/44

B = 70

Therefore, Jim originally had 70 Blue marbles.

4 0
3 years ago
Estimate the cost of painting a concrete patio if it is a 12 foot by 12 foot rectangle, and a quart of paint that covers 47 squa
umka21 [38]

Answer: $36.68 or $35.97. Read below.

Step-by-step explanation: You need to multiply the 12 foot by 12 foot and you would get 144 sq feet. Then divide 47 into 144. You will be left with 3.06, and if you need to round, you can round that to 3. Then you need to multiply 3 by $11.99 and you will be left with the cost for the paint, which is $35.97 if you do round to a three, and $36.68 if you do not round the three. So your answer is either $36.68 or $35.97 depending on whether you round or not.

6 0
2 years ago
One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line
Crank
The answer is d. I believe it was for mine
8 0
3 years ago
A cake recipe for 5 people requires two eggs. How many eggs do you need for a 15 person cake
lara [203]

Answer:

6 eggs

Step-by-step explanation:

15=5*3

so times the eggs by 3

2*3=6

6 0
3 years ago
The initial amount of people that are sick with the flu is 36 and growing at a rate of 8% every day.
Paraphin [41]
47 is the number of people that will be sick with the flu
5 0
3 years ago
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