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Lorico [155]
3 years ago
6

A jar contains only black and white marbles. When one marble is drawn at random, the probability that it is white is 1/3. After

20 black marbles were added to the jar, the probability of drawing a white was 1/5. How many marbles were in the jar originally?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

there are 30 marbles in the jar originally

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Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25.
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given \: expression \:  \:  -  \\  \\ 12s - 20 \leqslant 50 - 3s - 25 \\  \\ 12s - 20 \leqslant 25 - 3s \\  \\ adding \: 20 \: both \: sides \:  \: , \:  \\ we \: get \:  -  \\  \\ 12 s  \leqslant 45 - 3s \\  \\ 12s + 3s \leqslant 45 \\  \\ 15s \leqslant 45 \\ s \leqslant  \frac{45}{15}  \\  \\ \\    s \leqslant 3 \:  \:  \:  \:  \:  \: ans.
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3 years ago
Galvin and Henry spend a certain amount of money from their money box each month to buy plants. The table shows the relationship
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The answer would be:
<span>Function 2 shows a greater rate of change because Henry spends $7 each month and Galvin spends $5 each month.

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5 0
3 years ago
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Solve the equation 5x + 7y = 35 for y.
erastovalidia [21]

Answer:

D. y = -5/7x + 5

Step-by-step explanation:

5x + 7y = 35

-5x          -5x

7y =  35 - 5x

/7      /7    /7

y = 35/7 - 5/7 x

y = 5 - 5/7x

4 0
4 years ago
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two angles are complementary. the larger angle is 6 more than five times the number. how large is the smaller angle?
spin [16.1K]

Answer:

14 degrees

Step-by-step explanation:

Complementary angles means they add up to 90 degrees.

If the smaller angle times 5 plus 6 equals the bigger angle, then:

14 x 5 = 70

70 + 6 = 76

76 + 14 = 90

6 0
3 years ago
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To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?
katovenus [111]

9514 1404 393

Answer:

  20.3

Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

  d = √((3 -(-2))^2 +(6 -3)^2) = √(5^2 +3^2) = √34 ≈ 5.83

For the next two points, ...

  d = √((2 -3)^2 +(-2-6)^2) = √(1 +64) = √65 ≈ 8.06

For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

7 0
3 years ago
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