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3 years ago

Need answer quick please

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

Step-by-step explanation:

mean is also known as the average

to find the average you add up every data point and divide by number of data points.

74 + 75 + 80 + 76 + 75 + 81 + 78 = 539

539 / 7 = 77

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Find the center of dilation

jekas [21]

You must consider the three couples of points, before and after the dilation.

The bottom-left point was (3,3) and it becomes (4,5). The line connecting these two points is y = 2 x - 3

The bottom-right point was (6,3) and it becomes (10,5). The line connecting these two points is y = x/2

The top point points was (5,4) and it becomes (8,7). The line connecting these two points is y = x-1.

Those three lines meet at (2,1), and thus this is the center of dilation.

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3 years ago

Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Bu

Alisiya [41]

The answer is D
Hope it helps

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4 years ago

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The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per

Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

$109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\$

Using quadratic formula, we can solve this equation as:

$\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\ x=-5850, x=850$

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0

4 years ago

A clock loses 1 second every minute. It is set to the correct time at 10 AM on February 4. In which month is the next day on whi

Kruka [31]

<h3>Answer: The month of April</h3>

More accurately: The correct time will be shown on April 4th if it is a leapyear, or April 5th if it is a non-leapyear. It takes 60 days for the clock to realign, which is the same as saying "the clock loses 24 hours every 60 days".

===================================================

Explanation:

The following statements shown below are all equivalent to one another.

Clock loses 1 second every 1 minute (original statement)
Clock loses 60 seconds every 60 minutes (multiply both parts of previous statement by 60)
Clock loses 1 minute every 1 hour (time conversion)
Clock loses 60 minutes every 60 hours (multiply both parts of previous statement by 60)
Clock loses 1 hour every 2.5 days (time conversion)
Clock loses 24 hours every 60 days (multiply both parts of previous statement by 24)

Use a Day-Of-Year calendar to quickly jump ahead 60 days into the future from Feb 4th (note how Feb 4th is day 35; add 60 to this to get to the proper date in the future). On a leapyear (such as this year 2020), you should land on April 4th. On a non-leapyear, you should land on April 5th. The extra day is because we lost Feb 29th.

The actual day in April does not matter as all we care about is the month itself only. Though it's still handy to know the most accurate length of time in which the clock realigns itself.

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3 years ago

Terrence would like to estimate the mean the number of books students at his school read during the summer. There are 595 studen

olga55 [171]

C is the correct answer, which is the larger the number of students Terrance surveys, better his estimate of the mean will be

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3 years ago

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