MATHEMATICS HIGH SCHOOL

A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used to find the value of n?a.n + (3n - 15) = 101
b.4n - 15 = 101

Answers

Answer 1

Answer:

Answer:

Option a and b both are correct.

Step-by-step explanation:

We have been given the information that is: n is added to 15 less than 3 times itself.

The result is 101.

So, the number is 15 less than 3 times to itself means: 3n-15

And n is added to it that means:

n+(3n-15)

And its result is 101 so,

n+(3n-15)=101

After simplification of above expression gives:

4n-15=101.

Therefore, Option a and b both are correct.

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If f(x)=|x−4|+5, find f(1).

Answers

Answer:

Step-by-step explanation:

To find f(1), substitute x = 1 into the given function f(x)

(output values from an absolute value become positive)

$f(1) = |1-4|+5\nf(1)=|-3|+5\nf(1)=3+5\nf(1)=8$

Hope this helps!

There are 4 kings, 4 queens, 4 jacks, and 4 aces, corresponding to these suits. Kings, queens, and jacks are called face cards. If you are not familiar with what these cards look like, below is an image: You shuffle the deck, draw out a card at random, and note whether the card is a face card (either a king, queen, or jack) or not. You then put the card back, shuffle the deck, and draw again. You repeat this process a few more times, for a total of 17 trials. What is the expected number of face cards drawn? Round your answer to two (2) decimal places.

Answers

The expected number of face cards drawn in 17 trials with a number rounded to two is 3.92.

In each trial, the probability of drawing a face card is 3/13, since there are 12 face cards in a standard deck of 52 cards. The expected value of a random variable is the average of the values of each outcome. In this case, the outcome is either drawing a face card or not drawing a face card.

The value of drawing a face card is 1 since it is a success. The value of not drawing a face card is 0 since it is a failure. So, the expected number of face cards drawn in 17 trials is 3.92, calculated by the number of face cards drawn in 17 trials as 17 * (3/13) = 3.92.

Learn more about the probability at

brainly.com/question/31634956

Math question6. Marla swims twice a week. Her equipment cost her $32.85 and she has a membership to the pool for $35 plus $3.50 per visit. She can walk to the pool, so transportation is free. How much will swimming cost her for the year?
(Points : 1)
$431.85
$249.85
$396.85
$492.75

Answers

Answer: Swimming will cost $431.85 for Marla (per year).

Step-by-step explanation:

Hi, to solve this we have to calculate how many weeks are in a year:

If a year has 365 days, we have to divide it by 7 ( the number of days in a week)

So: 365 / 7 =52.14 = 52 weeks

Now, with the information given we have to multiply the number of weeks by the cost per visit multiplied by 2 ( because marla swims twice a week) and add the quipment cost ($32.85) and the membership cost ($35).

Mathematically speaking:

$3.50 x 2 x 52 w + $32.85 + $35 =

$364 + $32.85 + $35 =$431.85

In conclusion, swimming will cost $431.85 for Marla (per year).

$431.85. I got this by multiplying the amount of weeks in a year (52) by two to get 104. I then multiplied that by 3.5 to get 364. I then added 32.85 and 35 to that to get $431.85

Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline.

Answers

This is correct. The changes in shapes imply changes in aerodynamics which means that the car takes less effort to move. This in turn means that it spends less gasoline. Also, the quality of the gasoline is higher due to increased number of octanes which also means that fuel is consumed less. Many other factors are included, but the final answer is: Yes, they have.

A carpenter is building a fence around a swimming pool. One side of the pool is next to the house and does not need fencing. The carpenter has 120 feet of fencing and plans to use it all. Solve the equation w + 76 + w = 120 to find the unknown dimension of the enclosed rectangular area.a. 12 ft

c. 20 ft

b. 22 ft

d. 18 ft

Answers

The answer is B. 22ft
The equation goes w + 76 + w = 120 so I'm guessing you're solving for w since that's the only remaining side you haven't discovered so first of all collect like terms:
2w + 76 = 120
Secondly minus 76 from the equation to leave 2w on its own
2w - 76 = 120
BUT whatever you do to one side of the equation you have to do it to the side
2w - 76 = 120 - 76
Which will get you to
2w = 44
To get w on it's own you divide the equation by 2 and like before you must do the same to the other side of the equation to balance it out.
w = 44/2
Therefore w= 22ft

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