A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-

bedroom condo. The total rent she receives is $1240. She needs to make repairs on the

condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-

bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total

repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.

How much is the rent for all three condos? Define your variables then write and solve a

system of equations.

Answers

Answer 1

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400


Related Questions

What is the opposite of each number?

Drag the answer into the box to match each number.

Answers

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

A trapezoid. Sides R U and S T are parallel.

Examine the trapezoid. Which sides are parallel?

sides RU and ST

sides RS and ST

sides ST and UT

sides RS and UT

Answers

Answer:

Sides RU and ST

Step-by-step explanation:

Just did the quiz

Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3

Answers

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

Answers

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution

Answers

Answer:

20

Step-by-step explanation:

If you take (2x+5) (2x+5) = 0

then 4x^2 + 20x +25 = 0

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SAS
B.) AA
C.) SSS
D.) Not enough information given

Answers

The answer would be C which is SSS

Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.

Numbers: 7, 8, 5, 6

You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(​

Answers

7*8-6+5=55

6*5+7+8=45

5*7+8+6=49

I will continue in the comments

The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence

Answers

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

What is Sequence?

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

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Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2

Answers

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

PLEASE HELP ASAP PSLLLSLSL look at photo

Answers

Answer:

Last one

Step-by-step explanation:

Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps

the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?

Answers

Answer: -3 , 3

Step-by-step explanation:

thank me later;)

how much is the arc of a circle if the angle is 70°​

Answers

Answer:

siriously i dont know cuz im learning this in maths

area

perimeter

arc

Answer:

We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.

Step-by-step explanation:

hope that helps u

Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?

Answers

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

help immediate i will mark you brainliest

Answers

Answer:

What's the question?

If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.

Answers

Answer:

The equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

The equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

Step-by-step explanation:

The x-intercept is obtained when we set the value y=0

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

The y-intercept is obtained when we set the value x=0

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]

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

[tex]m=\frac{-5-0}{0-2}[/tex]

[tex]m=\frac{5}{2}[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

[tex]y=mx+b[/tex]

here

m = gradient or slop b = y-intercept

so

[tex]y=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y=\frac{5}{2}x-5[/tex]

Hence, the equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

[tex]y=\frac{5}{2}x-5[/tex]

so the equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

Write an absolute value inequality to represent each situation.

Two friends are hiking in Death Valley National Park. Their elevation ranges

from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie

Point. Let x represent their elevation in feet.

Answers

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

Answers

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?

Answers

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

does anyone know this?

Answers

1.37x10^9 is the correct answer:)

Answer:

1.37×10^9 is in scientific notation

What is the binary number for 12​

Answers

Step-by-step explanation:

[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]

its past due so plz help me

Answers

Answer:

y= 5/8x

Step-by-step explanation:

When it says y is it typically means y=.

When it says 5/8 of a number or of a variable it means that number times that variable.

Hope this helps!

D=
R=
Function?
Find the domain and range of each relation.

Answers

Answer:

Try to do it with mth way

domain is -4,-2,5. and range is 0,3,7,9.

77 is 56% of what number

Answers

Answer:

137.50

Step-by-step explanation:

please give branliest

Answer:

137.5 I think I might be wrong..

can someone help me answer this question please?

Answers

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

Evaluate 7 – (-1). ​

Answers

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere

Answers

Answer:cube root 381.7

Then half it too find the radius.

Step-by-step explanation:

Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $

Answers

Answer:

Amount Noah spent on cappuccino for that week = $22.95

Step-by-step explanation:

Noah pays $7.65 for a cappuccino on days he's running late to work

Cost of cappuccino per day = $7.65

One week, he was late on Monday, Wednesday, and Friday.

That is 3 days in a week

How much did he spend (in $) on cappuccinos that week? $

Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days

= $7.65 × 3

= $22.95

Amount spent on cappuccino for that week = $22.95

help? brainliest if i can..

Answers

Answer:

C y=2x-6

Step-by-step explanation:

the diffrence in each one is two by using two as slope you get -6 as y intercept.

Answer:

y = 2x - 6 (Third option)

Step-by-step explanation:

(-6, -18), (-1, -8)

m = (-8 - (-18)) / (-1 - (-6))

m = (-8 + 18) / (-1 + 6)

m = 10 / 5

m = 2

-8 = 2(-1) + b

-8 = -2 + b

b = -6

y = 2x - 6

Hope this helps!

Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20

Answers

Answer:

D.

Step-by-step explanation:

The function f gives the temperature in degrees Celsius t hours after midnight.

Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).

For 1:00 AM, 1 hour after midnight, we will have f(1).

And for 12:00 PM (noon), we will have f(12).

We want to find the equation that represents the temperature at 1:30 PM.

1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.

Therefore, the correct statement would be:

f(13.5)=20.

Hence, our answer is D.

Notes:

A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.

Answer:

d

Step-by-step explanation:

what is the density of 9 cm³ gold cube with 450 g in a mass?​

Answers

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}

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