Complete the following problems. It is over everything we've done the last few days. Take your time.
Make sure you insert your equation when having to write equations.
Question 3
5 pts
In 2015, 2200 students attended Polaris High School. The enrollment has been
declining 2% annually. If this trend continues, estimate how many students will be
enrolled in 2030.(Remember it is people that you have.)

Answer:

Step-by-step explanation:

The x difference:

8 - 1 = 7

The y difference:

-4 - -7 = 3

Distance:

7² + 3² = 58

√58 ≅ 7.62

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Answer:

y=-3x

Step-by-step explanation:

The meaning of direct proportion is that the ratio remains the same, and the ratio will only remain the same if y= a constant number into x

Answer:

x>-3 (if the = is meant to be +)

Step-by-step explanation:

Distribute the 2: 2x+10>4

Subtract 10 from both sides: 2x>-6

Divide both side by 2: x>-3

Answer:

Step-by-step explanation:

25 feet per minute

in 10 minutes

25ft*10=250ft

the diver is 250+200=450

the diver was at 450 below the sea level

Answer:

450 feet below sea level

Step-by-step explanation:

So:

We are looking at 10 minutes ago. If he is being pulled up, that means before he was even more down.

Therefore 25 feet is 1 minute so 10 minutes is 250 feet.

As he was more down below sea level you add 200 feet below sea level with 250 feet below sea level.

This will give you 450 feet below sea level.

I hope this helps!

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Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4 goes into 24 6 times so you would minus 6 from 24 so 24-6= 18

Answer:

5(x+2)

Step-by-step explanation:

When factoring, always use the greatest common factor (GCF) method first. 5x and 10 have a GCF of 5, so this is applicable. Divide each factor by 5:

(5x)/5=x

10/5=2

Now, factor 5 out of 5x+10:

5(x+2)

Answer:

the answer would be 47.75981574 or 47.76

Answer:

3- 47.76

Step-by-step explanation:

hundredth is the 2 place after decimal, so we can also say 2 d.p for rounding to the nearest hundredth

Answer:

A. 4x-10

Step-by-step explanation:

We see that this is a rectangle. To find the perimeter, we do L+W+L+W. So in this case, we can do (x+2)+(x-7)+(x+2)+(x-7). We can also simplify this to   2(x+2)+2(x-7)

Combine like terms now.

Simplify this to:

2x+4+2x-14

Simplify further:

4x-10

Answer:

4x-10

Step-by-step explanation:

The perimeter is the total around a shape.  That means there will be two copies of each equation.

2(x+2)= 2x+4

2(x-7)= 2x-14

Add the two equations together and simplify.

2x+4+2x-14=

Add the like terms 2x together.

2x+2x= 4x

Keep doing the problem

4x+4-14

Solve 4-14 which equals -10

4x-10

Answer:

A(9) is the very correct answer

Answer:

y = 4x -1

I think this is correct

Answer:

y=4x-1

Step-by-step explanation:

What we are doing here is isolating the y variable, and/or solving for y in terms of x. We add y to both sides then subtract 1 from both sides to get y=4x-1. Also, this problem is worded incorrectly and should be worded as 'solve for y in terms of x,' or 'isolate y.'

Answer:

118°

Step-by-step explanation:

That was as simple as asking this kinda questions.

Answer:

(2,1)

Step-by-step explanation:

Answer:

(a) 11.

(b) 5.

Step-by-step explanation:

(a)√124:

11*11 = 121 so an estimate is 11.

(b) ∛124

5*5*5 = 125

So an estimate is 5.

Answer:

He made a profit of 40-32 = Rs 8 per copy.

He got a 25% profit in the business of copies

Step-by-step explanation:

Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.

He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.

Each copy finally cost 4608/144 = Rs 32.

He sold all copies for Rs 5760, at 5760/144= Rs 40 each.

Therefore, he made a profit of 40-32 = Rs 8 per copy.

The total profit in his business of copies was 5760 - 4608= 1152

This is a percentage of:

[tex]\frac{1152}{4608}*100 = 25\%[/tex]

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Answer:

The concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

[tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex]

For example:

[tex](27)^{\frac{2}{3}}=(\sqrt[3]{27})^2[/tex]

[tex](27)^{\frac{2}{3}}=(3)^2[/tex]

[tex](27)^{\frac{2}{3}}=9[/tex]

Hence, the concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Answer:

4.5

Step-by-step explanation:

when the height is 0 the ball will hit the ground

so the equation is

-12t²+54t=0

12t²-54t=0

2t²-9t=0

t(2t-9)=0

t=0

t=4.5

so the answer is

4.5

Answer:

[tex]\huge\boxed{n=5m}[/tex]

[tex]\huge\boxed{55 \ \text{novels}}[/tex]

Step-by-step explanation:

With this word problem, we can model it into an equation which we can interpret to find values.

If we need to read 5 novels per month and n represents the amount of novels read in m months, we know that n will be the dependent variable (y) as it's a direct function of the number of months. This makes m the independent variable (x).

Since there are 5 novels a month, the equation will be 5 times the number of months equals the number of novels per month.

aka - [tex]n=5m[/tex]

We can now substitute inside the equation with 11 months as m, and find the value of n.

Hope this helped!

Answer:

The answer is 55

Step-by-step explanation:

Because for every 1 month he reads 5 books

if you do 5 times 11 you get 55

and to check your answer you divide 55 by  5 you get 11

so your equation would be 5 times 11

and your answer would be 55.

hope this helps ;)

Answer:

The angle sign doesn't look like 56.6 degrees

Step-by-step explanation:

Answer:

what grade

Step-by-step explanation:

to know the rule

Step-by-step explanation:

[tex]\huge\bold\purple{ 0.316 }[/tex]

Answer:  0.31690140845=(rounded thousandths) 0.317 or

0.32 (rounded hundredths)

Step-by-step explanation: i think if you are dividing 11.25 into 35.5

Answer:

so what are we trying to figure out?

Step-by-step explanation:

Answer:

[tex] {4}^{3} = 64[/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{8} }{ {4}^{5} } = {4}^{3} [/tex]

Subtract the numerator exponent from the denominator exponent.

[tex]8 - 5[/tex]

Answer:

159.09

Step-by-step explanation:

.3563 * 446.51 = 159.09

Answer:

I believe the answer is C.