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Anastasy [175]
2 years ago
7

A small orchestra performance hall has seats arranged in rows. There are 25 more rows than the number of seats in each row. The

hall's capacity is 600. If n represents the number of seats in each row, which inequality represents the number of seats that can be occupied in the hall?
Mathematics
2 answers:
kaheart [24]2 years ago
6 0

Answer:

n(n+25)\leq 600

Step-by-step explanation:

Let n be number of seats in each row.

We are told that there are 25 more rows than the number of seats in each row. So number of rows will n+25. We are also given that hall's capacity is 600.

Now let us represent our given information by an inequality.

n(n+25)\leq 600

Therefore, our desired inequality will be n(n+25)\leq 600.

Hope this will help.


grigory [225]2 years ago
5 0

Answer:

n^2+25n < 600

Step-by-step explanation:

plato correct

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The lines below are parallel if the slope of the green line is -2 what is the slope of the red line
kati45 [8]

Answer:

-2

Step-by-step explanation:

Since they are parallel, they have the same slope. This will be true for any set of lines.

8 0
2 years ago
good job on increasing our team sales from 90 to 130 units per day.” wow i never thought that we could increase our sales by
artcher [175]

The sales was increased by 44.4%.

Step-by-step explanation:

  • Lets do this cumulative
  • 90 of 10 % =  9  which is 99
  • 90 of 10 % = 9 which is 108
  • 90 of 10% = 9 which is 117
  • 90 of 10% = 9 which is 126
  • 90 of 4 % = 3.6 which is 129.6
  • 90 of 0.044% = 0.0396 which is 129.99
  • This comes to nearly 44.44 to be closer there was an increase.
  • Always rule 1 approximation use 50% of 90 if it is above 130.
  • Down it to 40% of 90 see if the sales is lower than 130.
  • It should always start with 50,40,30....10 percents.
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7 0
2 years ago
Caroline resting heart is 52 beats per minute (bpm). When she starts running her heart rate increases 1.25% each second until it
horsena [70]

Answer:74.55 beat per minute

Step-by-step explanation:

Given

Heart beat is 52 beat per minute

i.e. B=\frac{52}{60} beat per sec

If heart rate is increases 1.25 % each sec

suppose B is the heart beat at first second therefore heat beat at 2 nd second

B_2=B+1.25 \% B

B_2=B(1+1.25 \% )

For 3 rd sec

B_3=B(1+1.25\%)+1.25\%B(1+1.25\%)

B_3=B(1+1.25\%)^2

similarly for 3 sec

B_{30}=B(1+1.25\%)^{29}

B_{30}=1.433B

B_{30}=1.242\ \text{beat per second }

B_{30}=74.55\ \text{beat per minute}

4 0
2 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra
Stels [109]

Answer:

Third option: y= \frac{1}{4}x+2

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y -4 = \frac{1}{4}(x -8). What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

y -4 = \frac{1}{4}(x -8)

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2

You can identify that the slope "m" is:

m=\frac{1}{4}

And the y-interecept "b" is:

b=2

7 0
2 years ago
Read 2 more answers
Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to hav
Otrada [13]

Total money that will be in the account in 10 years = 45000

Time period = 10 years

Rate of interest = 5% or 0.05

n = 12 (number o times the money is compounded)

Let the principal (p) be = x

Formula for compound interest = A=p(1+\frac{r}{n})^{nt}

Putting the values in the formula we get,

45000=x(1+\frac{0.05}{12})^{10*12}

45000=x(\frac{12+0.05}{12})^{120}

45000=x(1.004)^{120}

45000=1.614x

x=27881.04

Hence, the principle amount should be approximately $27881.

6 0
2 years ago
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