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Alenkinab [10]
3 years ago
14

There is a bag with only red marbles and blue marbles.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer: 56

Step-by-step explanation:

Given that :

Marbles in bag are only red and blue ;

Probability of randomly choosing a red = 2/7

Number of red marbles in bag = 16

The total Number of marbles =?

P(choosing a red marble) = required outcome / Total possible outcomes

Required outcome = number of red marbles

Total possible outcomes = total number of blue and red marbles

Total number of blue and red marbles = x

P(choosing a red marble) = required outcome / Total possible outcomes

2/7 = 16 / x

Cross multiply

2x = 16 * 7

2x = 112

x = 112 / 2

x = 56 marbles

Total number of marbles = 56

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A musical charges $ 3.50 for children's tickets and $5.00 for adults tickets. Last night, twice as many adults attended the musi
iogann1982 [59]

Answer: 61 children attended the musical last night.

Step-by-step explanation:

Let x represent the number of children that attended the musical last night.

Let y represent the number of adults that attended the musical last night.

The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that

3.5x + 5y = 823.5- - - - - - - - - - 1

Last night, twice as many adults attended the musical than children. It means that

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Substituting y = 2x into equation 1, it becomes

3.5x + 5 × 2x = 823.5

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13.5x = 823.5

x = 823.5/13.5

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3 years ago
How is a rational number that is not an integer different from a rational number that is an integer?
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7 0
3 years ago
To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p
laila [671]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}

Solving for x:

\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

3 0
1 year ago
Help please uh yes please
Ivan

Answer:

D

Step-by-step explanation:

4 1/2, square root of 24, 5, 5.1

4 0
3 years ago
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