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tangare [24]
2 years ago
11

A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not

drawing a black marble is___ . The probability of drawing a red marble is____
Mathematics
1 answer:
notka56 [123]2 years ago
6 0

Answer:

80%; 30%

Step-by-step explanation:

There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.

There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of <em>not</em> drawing a black marble is 8/10 or 4/5 or 80%.

There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.

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Solve the system by substitution. 4x+3y=5x=4y+6Options: A. The solution is ____B. There are infinitely many solutions. C. There
zvonat [6]

So we have the following system of equations:

\begin{gathered} 4x+3y=5 \\ x=4y+6 \end{gathered}

We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:

\begin{gathered} 4x+3y=5 \\ 4\cdot(4y+6)+3y=5 \\ 16y+24+3y=5 \\ 16y+3y=5-24 \\ 19y=-19 \\ y=-\frac{19}{19}=-1 \end{gathered}

So y=-1. If we use this value in the second equation:

\begin{gathered} x=4y+6 \\ x=4\cdot(-1)+6 \\ x=-4+6 \\ x=2 \end{gathered}

So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).

5 0
11 months ago
Spanish class has a total of 30 students. The number of males is 12 more than the number of females. How many males and how many
docker41 [41]

Answer:

21, 9

Step-by-step explanation:

If girls are x, then boys are x + 12

x + x + 12 = 30

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x = 9

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8 0
2 years ago
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earnstyle [38]

24x^{2} -96x

8 0
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Drag and drop the symbols to enter the equation of the circle in standard form with center and radius given. Center (-8, -3), ra
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The standard equation of a circle is given by:
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(x+8)²+(y+3)²=4
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3 years ago
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