3(2x-3)=2 Solve the following linear equation by first expanding the brackets

Which number is multiple of 13? A) 27 B) 44 C) 51 D) 65

In-s [12.5K]

Answer:

D, 65 is a multiple of 13

Step-by-step explanation:

13 ,26 ,39, 52, 65, 78 ,91, 104 ,117, 130 ,143, 156, 169, 182 ,195 ,208 ,221, 234, 247, 260 ,273 ,286 ,299 ,312, 325, 338, 351, 364, 377, 390, 403, 416, 429, 442, 455 ,468, 481 494, 507, 520, 533, 546, 559, 572, 585, 598, 611, 624, 637,

8 0

3 years ago

Read 2 more answers

The sum of 4 consecutive numbers is equal to the sum of the next 3 consecutive numbers. Find the largest number.

timurjin [86]

Answer:

The answer is: The largest number is 15.

Step-by-step explanation:

Let n = the number

n + (n + 1) + (n + 2) + (n + 3) = (n + 4) + (n + 5) + (n + 6)

4n + 6 = 3n + 15

n = 9

Proof:

9 + 10 + 11 + 12 = 19 + 23 = 42

13 + 14 + 15 = 27 + 15 = 42

Hope this helps! Have an Awesome Day!! :-)

6 0

4 years ago

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A survey of magazine subscribers showed that 45.2% rented a car during the past 12 months for business reasons, 56% rented a car

IgorLugansk [536]

Answer:

a. 0.692 or 69.2%; b. 0.308 or 30.8%.

Step-by-step explanation:

This is the case of the probability of the sum of two events, which is defined by the formula:

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$ (1)

Where $\\ P(A \cup B)$ represents the probability of the union of both events, that is, the probability of event A plus the probability of event B.

On the other hand, $\\ P(A \cap B)$ represents the probability that both events happen at once or the probability of event A times the probability of event B (if both events are independent).

Notice the negative symbol for the last probability. The reason behind it is that we have to subtract those common results from event A and event B to avoid count them twice when calculating $\\ P(A \cup B)$ .

We have to remember that a sample space (sometimes denoted as S) is the set of the all possible results for a random experiment.

<h3>Calculation of the probabilities</h3>

From the question, we have two events:

Event A: event subscribers rented a car during the past 12 months for business reasons.

Event B: event subscribers rented a car during the past 12 months for personal reasons.

$\\ P(A) = 45.2\%\;or\;0.452$

$\\ P(B) = 56\%\;or\;0.56$

$\\ P(A \cap B) = 32\%\;or\;0.32$

With all this information, we can proceed as follows in the next lines.

The probability that a subscriber rented a car during the past 12 months for business or personal reasons.

We have to use here the formula (1) because of the sum of two probabilities, one for event A and the other for event B.

Then

$\\ P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$\\ P(A \cup B) = 0.452 + 0.56 - 0.32$

$\\ P(A \cup B) = 0.692\;or\;69.2\%$

Thus, the probability that a subscriber rented a car during the past 12 months for business or personal reasons is 0.692 or 69.2%.

The probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons.

As we can notice, this is the probability for the complement event that a subscriber did not rent a car during the past 12 months, that is, the probability of the events that remain in the sample space. In this way, the sum of the probability for the event that a subscriber rented a car plus the event that a subscriber did not rent a car equals 1, or mathematically:

$\\ P(\overline{A \cup B}) + P(A \cup B)= 1$

$\\ P(\overline{A \cup B}) = 1 - P(A \cup B)$

$\\ P(\overline{A \cup B}) = 1 - 0.692$

$\\ P(\overline{A \cup B}) = 0.308\;or\;30.8\%$

As a result, the requested probability for a subscriber that did not rent a car during the past 12 months for either business or personal reasons is 0.308 or 30.8%.

We can also find the same result if we determine the complement for each probability in formula (1), or:

$\\ P(\overline{A}) = 1 - P(A) = 1 - 0.452 = 0.548$

$\\ P(\overline{B}) = 1 - P(B) = 1 - 0.56 = 0.44$

$\\ P(\overline{A \cup B}) = 1 - P(A \cup B) = 1 - 0.32 = 0.68$

Then

$\\ P(\overline{A \cup B}) = P(\overline{A}) + P(\overline{B}) - P(\overline{A\cap B})$

$\\ P(\overline{A \cup B}) = 0.548 + 0.44 - 0.68$

$\\ P(\overline{A \cup B}) = 0.308$

3 0

4 years ago

Jon noeds 1/3 cup of

Alex_Xolod [135]

Answer: 1 1/12

Step-by-step explanation:

1/3 + 3/4 =

1/3 x 4= 4/12

3/4 x 3 = 9/12

9/12 + 4/12 = 13/12 = 1 1/12

5 0

3 years ago

On an airplane there are two seats on the left side in each row and three seats on the right side. There are 150 seats altogethe

netineya [11]

In order to solve these you first need a ratio.
From what we can tell, the ration from LEFT to RIGHT is:
2:3
Therefore, in order to have a 2:3 ratio, we need 5 parts total (2 parts on left + 3 parts on right = 5 total parts!)

A) 60

B) 90

8 0

3 years ago