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s2008m [1.1K]
3 years ago
7

Sarah has a bag of 50 skittles, some are red and some are yellow. Sarah randomly pulls a skittle out of the bag and records it,

and returns it back to he bag.so far she has recorded 8 reds and 12 yellows.based on these results what is the MOST likely numbers of reds in the bag?
Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Assume n is the number of times she pick a skittle out of the bag

The probability she pick out red : 8/n

The probability she pick out yellow : 12/n

=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.

But we have 50 skittles, so the likely numbers of reds in the bag is = 2*\frac{50}{5} = 20

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lara31 [8.8K]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
2 years ago
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
Leona [35]

Answer:

(\frac{2}{3} , \frac{1}{5})

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

4 0
3 years ago
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportiona
AveGali [126]

Answer:

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Step-by-step explanation:

First you have to find the unit rate, how many calories are there in ONE cracker? To find that you have to divide 60 ÷ 12 = 5 and to check with the other one, 75 ÷ 15 = 5

So, one cracker is 5 calories. Now, how many calories are in 180 crackers? You multiply, 180 x 5 = 900

That means there are 900 calories in 180 crackers.

Hope that helps and have a great day!

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3 years ago
Kiran paid $54.00 for 3 tickets to go to a corn maze. At the same rate, what is the cost of 5 tickets to the maze? *
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Answer:90

Step-by-step explanation:

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