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Ierofanga [76]
3 years ago
8

John has 4 dimes and 8 quarters in a box. Find the probability of drawing a dime.

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0
The probability that an event occurs is the number of times it could occur compared to the total number of possible events, assuming the probability of each event occurring is equal.

John has 4+8=12 coins total. If 4 of the coins are dimes, the probability that he draws a dime is \frac{4}{12}=\frac{1}{3}\approx 33\% \approx 0.33.
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Alyssa, Bart and Meghan are
adoni [48]

Hi,

Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as:  5p + 3p + 2p = 140,000  -->  10p = 140,000 --> 10p/10 = 140,000/10  -->  x = 14,000.

Alyssa gets 5p or (5 x 14,000)

Bart gets 3p or (3 x 14,000)

Meghan gets 2p or (2 x 14,000)

If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.

3 0
3 years ago
Ana drinks chocolate milk out of glasses that each hold 1/8 of a liter
maxonik [38]

Answer:

5 3/5

Step-by-step explanation:

Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5

7 0
3 years ago
the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
nikdorinn [45]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
What is the value of sin X
Angelina_Jolie [31]

\sin(x)  =  \frac{opposit e \: cathetus}{hypotenuse}
Then sin(x) = 5/13
4 0
3 years ago
Read 2 more answers
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