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o-na [289]
2 years ago
8

The sum of two numbers is 79. Three times the first number added to 5 times the second number is 283. What are the two numbers?

Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

<u><em>The two numbers are 56 and 23.</em></u>

Step-by-step explanation:

Let the two numbers be A and B.

We are told that:

A+B = 79, and

2)  3A + 5B = 283

Rearrange the first expression to isolate A:

A = 79-B

Now use this value of B in the second expression:

3A + 5B = 283

3(79-B) + 5B = 283

237-3B + 5B = 283

2B = 46

B = 23

If B=23, we can find A from (1):  

A+B = 79

A+23 = 79

A = 56

<u>CHECK:</u>

Does A+B = 79?

56 + 23 = 79?  <u><em>YES</em></u>

Does 3A + 5B = 283?

  3(56) + 5(23) = 283?

 168 + 115 = 283?  <u><em>YES</em></u>

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The outcome of the first event does affect the outcome of the second, so that the probability is changed
Sedbober [7]

Answer:

Dependent Events

Step-by-step explanation:

Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.

If the first ball is chosen the probability will 1/3  leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3.  In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.

In this the events are called dependent events.

Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.

8 0
3 years ago
Uma secretária possui 6 camisas, 4 saias, e 3 pares de sapatos. Qual o número de maneiras distintas com que a secretária poderá
juin [17]

Answer:

72 maneiras

Step-by-step explanation:

O que acontecerá aqui é que um de cada tipo de roupa será selecionado.

Das 6 camisas, 1 será selecionada O número de maneiras pelas quais podemos fazer isso é 6C1 = 6

Das saias também, ela estará selecionando uma O número de maneiras que isso pode ser feito é 4C1 = 4

O terceiro é selecionar um par de sapatos de 3 e isso seria 3C1 = 3

assim o número de maneiras pelas quais ela pode fazer as seleções é 6 * 4 * 3 = 72 maneiras

6 0
3 years ago
PLEASE HELP!!!
Fed [463]

Answer:

b -17

Step-by-step explanation:

−a^2 − 3b^3 + c^2 + 2b^3 − c^2 =

= -(3²) - 3(2³) + (-3)² + 2(2³) - (-3)²

= -9 - 3(8) + 9 + 2(8) - 9

= -9 - 24 + 9 + 16 - 9

= -17

8 0
2 years ago
Find the distance between the points (6, 3) and (6,-5).
tiny-mole [99]

the answer is negative two over zero

6 0
3 years ago
What is the slope of the line through (0, 5) and (-2, -1)
Elena L [17]

Answer:

3

Step-by-step explanation:

To find the slope of a line going through two points, (x₁, y₁) and (x₂, y₂), we can use the following formula: \frac{y_{2} -y_{1} }{x_{2} -x_{1} }. Note that it doesn't really matter which points we call (x₁, y₁) or (x₂, y₂).

Let's call (x₂, y₂) = (0, 5) and (x₁, y₁) = (-2, -1). Now, we can plug in the values for x, y₁, x₂, and y₂ into the formula.

We have:

\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{5-(-1)}{0-(-2)} =\frac{5+1}{0+2} =\frac{6}{2} =3

Therefore, the slope of the line is 3. Hope this helps!

4 0
3 years ago
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