Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

Answers

Answer 1

Answer:

This should help you !!!

Campus Rentals Rents 2 And 3 Bedrooms Apartments For $700 Ans $900 A Month Respectively. Last Month They
Answer 2

Four 2 bedroom apartments and two 3 bedroom apartments were vacant.

It is given that Campus rentals rents 2 and 3 bedrooms apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent.  

We have to find out that how many of each type of apartment were vacant ?

What is algebra ?

Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations and the symbols are called variables.

Let's assume that ;

Number of vacant 2 bedroom apartments = x

Number of vacant 3 bedroom apartments = y

∵ The total number of vacant apartments were 6 ; the equation will be ;

x + y = 6 -------- Equation 1

or

x = 6 - y

The loss reported is $4600.

We can write it as ;

x × 700 + 900 × y = 4600

700 × ( 6 - y ) + 900 × y = 4600

4200 - 700 y + 900 y = 4600

200 y = 400

y = 2

putting this in equation 1 we get ;

x = 6 - 2 = 4

Thus , four 2 bedroom apartments and two 3 bedroom apartments were vacant.

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Related Questions

At the beginning of March, Janet opened a checking account with her first paycheck of $153.82. During the month, she withdrew $40 from the ATM, wrote a check for $54.12 to pay for her cell phone, deposited a check for $215.70, transferred $75.00 to her savings account, and had a debit of $130 for sports equipment.

Answers

Answer:

$ 70.4

Step-by-step explanation:

Data:

The opening balance = $ 153.82

Withdrawal made        = - $ 40

Check for payment     =  - $ 54.12

Deposited a check for payment = + $ 215. 70

Transferred amount to the savings = - $ 75.00

Debit for the sports equipment      = -$ 130

The total amount left will be = $ (153.82- 40-54.12+ 215.70-75-130)

                                               = $ 70.4

Answer:

The account balance is $70.40.

Explanation:

Please make the brainliest :)

Find the area of the parallelogram.

A: 11 square units
B: 24 square units
C: 12 square units
D: 14 square units

Answers

The area of the given parallelogram is 24 square units.

What is the area of a parallelogram?

The area of a parallelogram is the product of the height and the base of the  parallelogram.

The height of the given parallelogram is

[tex]= (5-2)[/tex] units

[tex]= 3[/tex] units

The base of the given parallelogram is

[tex]= [7-(-1)][/tex] units

[tex]= 8[/tex] units

Therefore, the area of the given parallelogram is

[tex]= (8)(3)[/tex] square units

[tex]= 24[/tex] square units

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simplify -12x^4/x^4+8x^5 brainly
What is x

Answers

Answer:

-12+8x^5

bkhlvyuiv,ibk

ANSWER

[tex]\frac{ - 12}{1 + 8x} [/tex]

EXPLANATION

The given rational expression is

[tex] \frac{ - 12 {x}^{4} }{ {x}^{4} + 8 {x}^{5} } [/tex]

We factor to get;

[tex]\frac{ - 12 {x}^{4} }{ {x}^{4} (1+ 8 {x}) } [/tex]

We can see that:

[tex] {x}^{4} [/tex]

is common to both the numerator and the denominator.

We cancel out the common factors to obtain;

[tex]\frac{ - 12 }{ 1+ 8 {x}} [/tex]

Therefore the simplified form is

[tex] \frac{ - 12}{1 + 8x} [/tex]

Based only on the given information, it is guaranteed that PS=RS



PLS HELP ASAP

Answers

Answer: True :)

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIIEST 20 POINTS 6TH GRADE ASAP PLEASE


Which of the sets of ordered pairs represents a function?

A = {(–5, 5), (–2, 2), (2, –2), (5, –5)}

B = {(4, 2), (3, –2), (9, 4), (11, –3)} (4 points)


Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:

Both A and B

Step-by-step explanation:

For functions you are just trying to make sure all the x's are different.  

So let's look at A:  The x's there are all different so it is a function

Now let's look at B: The x's there are all different so it is a function.

Both A and B

Which of the following is closest to 32.9 x 7.5?
A:232
B:259
C:220
D:265

Answers

Answer:

B. 259

Step-by-step explanation:

32.9 × 7.5 = 246.75

Therefore, the number closest to 246.75 is 259

PLEASE DO MARK ME AS BRAINLIEST UWU

The closest number is B. 259

To find the answer to this question, you need to multiply 32.9 by 7.5. The option that the product of those two numbers is closest to, is the answer.

= 32.9 x 7.5

= 246.75

= 247 rounded off

This number is closest to 259 as the difference between them is only:

= 259 - 247

= 12

The other options are wrong because:

= 247 - 232

= 15

= 247 - 220

= 27

= 265 - 247

= 18

The closest number is therefore 259.

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the national flag of scotland has a white diagonal on a blue backround Tracy is sewing a scottish flag she knows that the length of one diagonal will be 15 feet and the flag will be 9 feet high to the nearest foot how long will the scottish flag be

Answers

Answer:

12 feet

Step-by-step explanation:

By Pythagoras theorem, a²+b²=c², where c represents the diagonal and a and b represents the other sides of a right angled triangle

As a flag is a rectangle, the two triangles cut would be  right angled triangles

Therefore, a²+9²=15²

a²+81=225

a²=144

a=√144

a=12 feet

Final answer:

To calculate the length of the Scottish flag, the Pythagorean theorem is applied. With a diagonal (hypotenuse) of 15 feet and a height of 9 feet, the length is found to be 12 feet.

Explanation:

The question involves calculating the length of the Scottish flag given the length of one diagonal and the flag's height. To find the length of the Scottish flag, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, we know the length of the diagonal (hypotenuse) is 15 feet and the height (one side) is 9 feet.

Let x be the length of the Scottish flag (the other side of the right-angled triangle). According to the Pythagorean theorem, [tex]x^2 + 9^2 = 15^2.[/tex]

Solving for x, we get:

[tex]x^2 + 81 = 225[/tex][tex]x^2 = 225 - 81[/tex][tex]x^2 = 144[/tex][tex]x = \sqrt144[/tex]x = 12

Therefore, the length of the Scottish flag will be 12 feet to the nearest foot.

Which best describes the dimensions of a line?

Answers

Final answer:

A line can be described as a one-dimensional element with length greater than its width. It is formed by connecting two or more points and can be used to create shapes, define forms, and indicate motion.

Explanation:

A line can be described as a point in motion. It is the simplest visual element and is characterized by its length being greater than its width. When two or more points are connected, a line is formed. For example, when you draw a line segment connecting two points on a paper, you create a line. Lines can be used to create shapes, define forms, and indicate motion. It is important to note that a line is one-dimensional and has no width or depth.

9 to the third power

Answers

Answer:

729

Step-by-step explanation:

9 x 9 x 9

Answer:

729

Step-by-step explanation:

9^3=9×9×9. 9×9=18. 18×9=729.

Lena is training to be a hairstylist.below Are the numbers of haircuts that she gave during each of her eight training shifts . HOW SHOULD I COMPLETE THE DOT PLOT?

Answers

the answer is in the attachment.

Answer:

For 15 you put 3 dots. For 14 you put 2 dots. For 13 you put 2 dots again. And for 12 you put 1 dot.

The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.

Which equation could be used to find the number?

1/2n - 1/6 = 10 + 1/8n
1/2 - 1/6n = 10 + 1/8n
1/2n - 1/6n = 10 + 1/8n

Answers

The answer would be...

1/2n - 1/6n = 10 + 1/8n

^^^That would be the last one

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Step-by-step explanation:

Let the number = x

(1/2) x - (1/6) x = (1/8)x + 10

It's the third one down. The other two are wrong because the number is not represented in both terms on the left. The questions says 1/2 of the number

and 1/6 of the number.   Both require an x.

PLEASEEEE HELPPPPP MEEEEE 10 POINTS!!!!

Answers

Distributive property means you multiply the number on the outside the parentheses (in this case it is 7) with every number/variable inside the parentheses ( in this case it would be 5 and -4) so...

7*(5 - 4) = (7 * 5) - (7 * 4)

Further evaluated you would get...

35 - 28

7

Hope this helped!

~Just a girl in love with Shawn Mendes

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x + y= 8 and y= -x + 5

Answers

Answer:

The ordered pair is (3, 2).

Step-by-step explanation:

y = -x + 5

2x + y = 8

Substitute y = -x + 5 in the second equation:

2x + (-x + 5) = 8

x + 5 = 8

x = 3.

Now substitute x = 3 into the first equation;

y = -3 + 5

y = 2.




Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation?

5

5i

0

-5

-5i

Answers

Your answer would be 0. Then it would be a 2-degree.

Answer:

5i, -5i

Step-by-step explanation:

None 5i nor -5i could be a third root of the polynomial because if we had a complex root then by the complex conjugate root theorem, their conjugate would be a fourth root, while the polynomial which is a 3-degree polynomial can only have three roots according to the Fundamental Theorem of Algebra, which states that the number of roots of the polynomial is equal to the degree of the polynomial.

In other words, for example, if the third root was 5i then its conjugate -5i should be another root according to the complex conjugate root theorem; so we would end with four roots when we are only allowed -by the Fundamental Theorem of Algebra- to have three roots since it is a 3-degree polynomial.  The same reasoning applies for -5i whose conjugate is precisely 5i.

The other numbers are real numbers, so any of them can be a third root. Notice that it does not matter if the third root is again 5 or -5 since the real roots can be repeated (multiplicity greater than 1).

Solve the equation below: (X+4)/6x=1/x

A. X=2
B. X=0,2
C. X=-2
D. X=0,-2

Answers

For this case we must solve the following equation:

[tex]\frac {x + 4} {6x} = \frac {1} {x}[/tex]

We multiply by "6x" on both sides of the equation:

[tex]x + 4 = \frac {6x} {x}\\x + 4 = 6[/tex]

Subtracting 4 on both sides of the equation:

[tex]x = 6-4\\x = 2[/tex]

Thus, the result of the equation is 2.

Answer:

[tex]x = 2[/tex]

Option A

Answer:

A

Step-by-step explanation:

What is the slope of OG?

Answers

Answer:

-5/1

Step-by-step explanation:

Answer: Second option.

Step-by-step explanation:

You can calculate  the slope of the line with the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

You know the point G(1,-5) and  the point O(0,0), then, you can identify that:

[tex]y_2=-5\\y_1=0\\x_2=1\\x_1=0[/tex]

Now you need to substitute these values into the formula  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], then the slope of OG is:

 [tex]m=\frac{-5-0}{1-0}\\\\m=\frac{-5}{1}\\\\m=-5[/tex]

This matches with the second option.

If you have an average 90. Give two numbers other than 90 that would make the average 90

Answers

Answer:

The numbers 180 and 0 would make the average 90

Step-by-step explanation:

we know that

To find the average of two numbers, add the numbers and then divide by two.

Let

x ----> one number

y ----> the other number

The average is equal to

(x+y)/2

For x=180 and y=0

the average is equal to

(180+0)/2=90

therefore

The numbers 180 and 0 would make the average 90

the set of ordered pairs represented by the graph below can be described as which of the following

a relation only

a function only

both a relation and function

neither a relation or function

Answers

ANSWER

a relation only

EXPLANATION

The given graph shown in the attachment represents only a relation and not a function.

The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.

Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.

Answer: First option.

Step-by-step explanation:

By definition, a relation is a function if each input value (value of "x") has only one output value (value of "y").

 In the figure you can observe that each x-coordinate has more than one y-coordinate. Then, since each input value (value of "x") does not have only one output value (value of "y"), you can say that it is not a function, but a relation only.

Therefore, the conclusion is:

The set of ordered pairs represented by the graph, can be described  as a relation only.

If two angles are supplementary and one of the angles measures 62°, what is the measure of the other angle?
28°
38°
118°
128°

Answers

Answer:

118°

Step-by-step explanation:

Supplementary angles sum to 180°

let x be one of the supplementary angles, then

x + 62 = 180 ( subtract 62 from both sides )

x = 118°

The measure of the supplementary angles are 62° and 118°

What are Supplementary and Complementary Angles?

Supplementary angles are two angles that have a sum of 180°.

Complementary angles are two angles that have a sum of 90°.

Given data ,

Let the sum of angles be represented as A

Now , let the first angle be represented as p

And , the value of p = 62°

Let the second angle be represented as q

Now , the value of q = q

For supplementary angles , the sum of the angles is 180°

So , on simplifying , we get

A = p + q = 180°

62° + q = 180°

Subtracting 62° on both sides of the equation , we get

q = 180° - 62°

q = 118°

Hence , the measure of the supplementary angles are 62° and 118° respectively

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What is the volume of the cone with diameter 4 ft and height 4 ft? Round to the nearest cubic foot.

Answers

Answer:

V = 67.0206 m3

Step-by-step explanation:

Answer: [tex]17ft^3[/tex]

Step-by-step explanation:

The volume of a cone can be calculated with the following formula:

[tex]V_{(cone)}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

The radius is half the diameter, then "r" is:

[tex]r=\frac{4ft}{2}\\\\r=2ft[/tex]

Since we know that radius and the height, we can substitute them into the formula.

The volume of the cone  to the nearest cubic foot is:

 [tex]V_{(cone)}=\frac{1}{3}\pi (2ft)^2(4ft)[/tex]

 [tex]V_{(cone)}=17ft^3[/tex]

Evalute 12/y + 9z for y=6 and z=3

Answers

Answer:

29

Step-by-step explanation:

12/6 + 9(3) = 2 + 27 = 29

Answer:

29

Step-by-step explanation:


Plane H is shown.
Which points are coplanar and noncollinear?

Answers

Answer:

points A, B, and D

Step-by-step explanation:

Try hard to do
This one please

Answers

Answer:

Runner D

Step-by-step explanation:

The coach has her team run at least 60 miles per week. What is the letter of the runner who has completed 0.25 of the weekly distance. 0.25×60=15

What is the domain of the function shown

Answers

It would be choice b.
The domain is the range of x values which in this case is from -5 to 3.

Answer:

○ b -5 ≤ x ≤ 3

Explanation:

The set of x-values is called the domain. Also, according to the graph, this range out to from negative five [left] to three [right].

I am joyous to assist you anytime.

Alex completed 7 homework problems in class. The function p(m) relates the
time (in minutes) Alex spent on his homework at home to the total number of
problems he completed. The input is the number of minutes worked. The
output is the number of problems completed.
p(m)=m/4+7
Which equation represents the inverse function m(p), which uses problems
completed as the input and gives minutes worked as the output?

Answers

Hello!

The answer is:

D. [tex]m(p)=4p-28[/tex]

Why?

Inversing a function consists of switching the function (name) and the variable, so, where we have the variable (m for this case) we should rewrite it as the function (p(m)), and then, isolate the function in order to know the inverse function.

So, we are given the function:

[tex]p(m)=\frac{m}{4}+7[/tex]

We know that:

[tex]p(m)^{-1}=m(p)[/tex]

Then, rewriting and calculating, we have:

[tex]p(m)=\frac{m}{4}+7[/tex]

[tex]p=\frac{m(p)}{4}+7\\\\p-7=\frac{m(p)}{4}\\\\m(p)=(p-7)*4=4p-28[/tex]

Hence, we have that the answer is:

D. [tex]m(p)=4p-28[/tex]

Have a nice day!

What is the solution to
y=-3x + 6
y = 9
(-21, 9)
O (9,-21)
• (-1,9)
(9, -1)

Answers

Answer:

(-1,9)

Step-by-step explanation:

y=-3x + 6

y = 9

We know that y=9

Substitute that into the first equation

9 = -3x+6

Subtract 6 from each side

9-6 = -3x+6-6

3 = -3x

Divide by -3

3/-3 =-3x/3

-1 =x

x=-1, y=9

(-1,9)

Train A arrives at the station at 11:50 AM and leaves the station at 1:50 PM. How long does it stay in the station?
Make a Selection:
A. 1 hr
B. 1 hr 25 min
C. 2 hrs
D. 10 hrs

Answers

Answer:

C. 2 hrs

Step-by-step explanation:

11:50am + 1 hour = 12:50pm

12:50 pm + 1 hour = 1:50 pm

x2+4x+6

a.f(-8) b. f(x+4) c.f(-x)

Answers

Answer:

a. f(-8) = 38b. f(x + 4) = x² + 12x + 38c. f(-x) = x² - 4x + 6

Step-by-step explanation:

[tex]f(x)=x^2+4x+6\\\\a.\\f(-8)-\text{put x = -8 to the equation}\\\\f(-8)=(-8)^2+4(-8)+6=64-32+6=38\\\\b.\\f(x+4)-\text{exchange x to x + 4}\\\\f(x+4)=(x+4)^2+4(x+4)+6\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ \text{distributive property}\\\\f(x+4)=x^2+2(x)(4)+4^2+4x+(4)(4)+6\\\\f(x+4)=x^2+8x+16+4x+16+6\\\\\text{combine like terms}\\\\f(x+4)=x^2+(8x+4x)+(16+16+6)\\\\f(x+4)=x^2+12x+38[/tex]

[tex]c.\\f(-x)-\text{exchange x to -x}\\\\f(-x)=(-x)^2+4(-x)+6=x^2-4x+6[/tex]

Vanesa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa sold $1650.00 worth of items last week.

What was Vanessa’s total pay last week?

Answers

Answer:

$482.50

Step-by-step explanation:

x=1650×5/100

x=16.5×5

x=82.50

400+82.5=482.5

Answer:

482.50

Step-by-step explanation:

Her base is 400. If she sells nothing, that's her take home.

Take home = 400 + 5% of what she sells.

Take home = 400 + (5/100) * 1650

Take home = 400 + (0.05) * 1650

Take home = 400 + 82.50

Take home = 482.50

There are four accent walls that need to be painted: cafeteria, gym, auditorium, and entrance. The art class is going to paint either a forest or an ocean nature scene on one of them. What is the probability that the ocean scene is painted in the gym?

Answers

the probability of an ocean scene going on the gym wall is 16%

Answer:

12.5%

Step-by-step explanation:

There are 4 walls to choose from, and 2 scenes to choose from. So the number of combinations is 2×4=8. One of those is the ocean scene on the gym wall. So the probability is:

P = 1/8

P = 12.5%

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