For an apartment complex, the association collects $158,000 from all of its 211 residents. What is the average rent per capita for this apartment complex?

Answer:

x = 1

Step-by-step explanation:

Solve for x:

4 (2 x + 6) = 5 (x + 5) + 2

Hint: | Distribute 5 over x + 5.

5 (x + 5) = 5 x + 25:

4 (2 x + 6) = 5 x + 25 + 2

Hint: | Group like terms in 5 x + 2 + 25.

Grouping like terms, 5 x + 2 + 25 = 5 x + (25 + 2):

4 (2 x + 6) = 5 x + (25 + 2)

Hint: | Evaluate 25 + 2.

25 + 2 = 27:

4 (2 x + 6) = 5 x + 27

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

8 x + 24 = 5 x + 27

Hint: | Move terms with x to the left hand side.

Subtract 5 x from both sides:

(8 x - 5 x) + 24 = (5 x - 5 x) + 27

Hint: | Combine like terms in 8 x - 5 x.

8 x - 5 x = 3 x:

3 x + 24 = (5 x - 5 x) + 27

Hint: | Look for the difference of two identical terms.

5 x - 5 x = 0:

3 x + 24 = 27

Hint: | Isolate terms with x to the left hand side.

Subtract 24 from both sides:

3 x + (24 - 24) = 27 - 24

Hint: | Look for the difference of two identical terms.

24 - 24 = 0:

3 x = 27 - 24

Hint: | Evaluate 27 - 24.

27 - 24 = 3:

3 x = 3

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 3 by 3:

(3 x)/3 = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

Answer:  x = 1

Answer:

  4x +3y = -1

Step-by-step explanation:

To find the new constant for the equation, use the given x- and y-values:

  4(5) +3(-7) = 20 -21 = -1

The equation of the parallel line in standard form is ...

  4x +3y = -1

Answer:

y =2 when x = 150

Step-by-step explanation:

Inverse variation is

xy = k

5*60 = k

300 = k

xy = 300

150y = 300

Divide by 150

150y/150 = 300/150

y = 2

Step-by-step explanation:

Use the first fundamental theorem of calculus.

∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0

Answer:

7 days are in a week. 5 week days, 2 days for the weekend hope this helps.

Answer:

[tex]y = \frac{z}{2} -3x[/tex]

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, subtract 6x from both sides:

6x (-6x)  + 2y = z (-6x)

2y = z - 6x

Next, divide 2 from both sides:

(2y)/2 = (z - 6x)/2

y = (z - 6x)/2

y = (z/2) - 3x

[tex]y = \frac{z}{2} -3x[/tex]  is your answer.

~

0.909 is the  absolute value of -0.909

A number system is defined as a system of writing to express numbers.

The given number is a decimal number

-0.909

Minus zero point nine zero nine

We need to find the absolute value of -0.909

Absolute value of a Decimal is its numeric value without its sign

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

0.909 is the  absolute value of -0.909

Hence,  0.909 is the  absolute value of -0.909

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Answer:

multiple 28 and 3 u will get the answer

Step-by-step explanation:

I think It will help you

Answer:Line BD

Step-by-step explanation:

The top is shorter than the bottom, so it can't be AC. EF will only have about half of the section covered. BD is symmetrical so it can't be no lines. So it must be BD.

=(D-64)2

We move all terms to the left:

-((D-64)2)=0

We calculate terms in parentheses: -((D-64)2), so:

(D-64)2

We multiply parentheses

2D-128

Back to the equation:

-(2D-128)

We get rid of parentheses

-2D+128=0

We move all terms containing D to the left, all other terms to the right

-2D=-128

D=-128/-2

D=+64

The given equation term of y is, y=(3/2)x-2.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation in the problem is;

3x+2y=4

To solve the given equation for y first rearrange the equation and put the y variable on the left-hand side as;

2y=3x-4

Divide the whole equation by 2 we get;

y=(3/2)x-2

Hence, the given equation term of y is, y=(3/2)x-2.

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Answer:

The blank is 170

Step-by-step explanation:

The ratio from miles traveled to miles to go is 1:-1

520-0=520

520-100=420

520-200=320

520-350=170

520-520=0

Answer: the total  price change in stock is fall of 3.2 points or -3.2 points.

Step-by-step explanation:

In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .

Given: A stock price rose 2.2 points in  Week 1.

i.e. +2.2 points rise.

The stock price fell 5.4  points in Week 2.

i.e. fall of -5.4.   (Much greater, than it rose)

The equation to represent the total  price change in stock would be

Total  price change = price rose in  Week 1 +  price fell  in Week 2.

= [+2.2 + (-5.4)] points

= 2.2 - 5.4 points   [ (+)(-) = (-)]

= -3.2 points

Hence, the total  price change in stock is fall of 3.2 points.

Answer:

week 5!

Step-by-step explanation:

Answer:

yes, week 55️⃣

Step-by-step explanation:

just see the little blue points

Answer:

rs480

Step-by-step explanation:

100%=r600      100%-20%=80%

80%=x

80 x 600 =48000

[tex]\frac{48000}{100}[/tex]=480

Answer:

0.9

Step-by-step explanation:

I am not sure how to really explain but the 2 negatives equal a positive. So if there is 2 Negatives also know as -     = a positive. And a positive is just the the opposite of a negative

The product of the given fractions is 3/25.

The given fractions are -3/5 and -1/5.

The product of two fractions can often be expressed by an equivalent fraction where the numerator and denominator have been divided by a common factor. The product of two fractions is the product of the numerators and the product of the denominators.

Now, multiply the given fractions

-3/5 × -1/5

Multiply numerators and write the result in numerator and multiply denominators and write the result in denominator.

That is, -3/5 × -1/5 = 3/25

Therefore, the product of the given fractions is 3/25.

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Answer: (X/3)*4

Step-by-step explanation:

(1/3)*x

decreased by 4: (1/3)*x-4

Answer:

4x= 14

Step-by-step explanation:

Answer:

a. g(0)= 1

b. f(-2)= 0

d. g(x-2)= 5x-9

Step-by-step explanation:

a. g(x)=5x+1  *substitute 0 for x*

g(0)= 5(0)+1

g(0)= 1

b. f(-2)= [tex](-2)^2-4[/tex]   *substitute -2 for x*

f(-2)= 4-4 =0

c. g(x-2)= 5(x-2)+1 *substitute x-2 for x*

 g(x-2)= 5x-10+1    *distributive property*

g(x-2)=5x-9          *simplify*

Answer:

$5 each week

Step-by-step explanation:

$40 a month

$10 a week

$10-$5 is $5 each week

If you want to be paid $5 less, then every month you will be paid $35

There the amount that you get paid every week will be:

35 ÷ 4 ( 1 month have 4 weeks )

= $8.75

Answer:

2x = (1/2)(26) - 1

The number is 6.

Step-by-step explanation:

2x = (1/2)(26) - 1

2x = 13 - 1

2x = 12

x = 6

Answer:

How many hours?

Step-by-step explanation:

the answer to this is 2x

X is the number of hours and you multipy it by 2 wood

Answer:

the answer is 360 degrees

Step-by-step explanation:

Answer:

Z- 13

Step-by-step explanation:

Divide 52 by 4

[tex]52 \div 4 =13[/tex]

The answer to it is true

Answer:

  Only the position changes with translation. Other measures, including slope and length, remain the same.

Step-by-step explanation:

Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original.

Answer:

Only the position changes with translation. Other measures, including slope and length, remain the same.

this should be your answer

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance [tex]\sigma^2[/tex] = 25  ; [tex]\sigma[/tex] =[tex]\sqrt{ 25}[/tex] = 5

sample size n = 28

The standard deviation of the sample mean:

= [tex]{\dfrac{5}{\sqrt{28}}[/tex]

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

[tex]\dfrac{sd_1}{sd_2} = \dfrac{\dfrac{\sigma}{\sqrt{n}} }{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]\implies \dfrac{\dfrac{5}{\sqrt{28}} }{\dfrac{5}{\sqrt{28}} }[/tex]

[tex]= \dfrac{5}{\sqrt{28}} \times \dfrac{\sqrt{28}}{5}[/tex]

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

[tex]\sigma = \dfrac{\sqrt{Var(x)}}{n} \\\\\sigma = \dfrac{\sqrt{25}}{\sqrt{28}} \\\\\sigma = 0.95[/tex]

B.  The sample be if you want to halve the standard deviation of the sample mean

[tex]\rm \dfrac{SD_1}{SD_2} = 2 = \dfrac{\sqrt{n}}{\sqrt{28}}\\\\n = 4*28 \\\\n= 112[/tex]

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