Whenever you sign a lease for an apartment, you typically have to pay a security deposit in case you have caused any wear or tear on the apartment that has to be repaired before it can be re-leased. If no repairs need to be made, you get your entire deposit back. One apartment building has apartments that rent for $500 a month and security deposit of $700. The total cost C (in dollars) it costs to rent the apartment for m months is given by the function C=500m+700. Graph the function and identify its domain and range. Identify the domain and range if a renter only leases an apartment for one year and then moves out and doesn't get the security deposit back.

Answers

Answer 1

Answer:

what is the question

Step-by-step explanation:


Related Questions

Which theorem or postulate proves the two triangles are similar?

Answers

Answer:

The corresponding pair of sides are in the same ratio.

Step-by-step explanation:

For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.

Now, see the diagram of two triangles given with the question.

The ratios of the corresponding sides are [tex]\frac{20}{16} = \frac{19}{\frac{76}{5} } = \frac{5}{4}[/tex]

If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.

Therefore, the two triangles are similar. (Answer)

To prove that two triangles are similar, you can use the AA (Angle-Angle) Postulate, SSS (Side-Side-Side) Similarity Theorem, or SAS (Side-Angle-Side) Similarity Theorem. These methods involve comparing the angles and sides of the triangles to see if they meet the similarity conditions.

Triangle Similarity Theorem

To determine whether two triangles are similar, you can use several different theorems or postulates. These include the AA (Angle-Angle) Postulate, the SSS (Side-Side-Side) Similarity Theorem, and the SAS (Side-Angle-Side) Similarity Theorem.

AA (Angle-Angle) Postulate: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

SSS (Side-Side-Side) Similarity Theorem: If the three sides of one triangle are proportional to the three corresponding sides of another triangle, then the triangles are similar. For example, if triangle ABC and triangle DEF have corresponding sides such that AB/DE = BC/EF = AC/DF, then the triangles are similar.

SAS (Side-Angle-Side) Similarity Theorem: If an angle of one triangle is congruent to an angle of another triangle and the sides containing these angles are proportional, then the triangles are similar. For example, if ∠A = ∠D and AB/DE = AC/DF, then triangles ABC and DEF are similar.

By using these theorems, you can determine if two triangles are similar by comparing their angles and sides as per the given conditions.

61.05 as a fraction?

Answers

Answer:

61 ¹/₂₀

Step-by-step explanation:

1221/20

You cannot get a proper fraction while converting 61.05 into a fraction. You will only end up with improper fractions. This is your answer as a simplified improper fraction. If you also want a mixed number answer, that is down below.

61   1/20

I hope this helps you! :)

The measure of ZABC is 130º. Find
the value of x.

(6x+40)°​

Answers

Answer:

x = 15

Step-by-step explanation:

If ZABC = 130º

ZABC = (6x+40)°​ = 130º

This equation can be rearranged to solve for x by isolating it (moving everything over to the other side).

(6x+40)°​ = 130º

Solve it without the degrees sign because it looks confusing.

6x+40 = 130

6x+40 - 40 = 130 - 40   (subtract 40 from both sides)

6x = 90

6x/6 = 90/6    (divide both sides by 6)

x = 15

Therefore x is 15. The degrees symbol is already included outside the bracket.

78 was divided by some number then added to 10. next this was multiplied by 8 which gave a product of 184 .find the number​

Answers

Answer:

The number is 6.

Step-by-step explanation:

(78/x+10)*8=184

8(78/x+10)=184

78/x+10=184/8

78/x+10=23

78/x=23-10

78/x=13

x=78/13

x=6

Answer:The unknown number can be calculated by the following formula;

Step-by-step explanation:

Simplify . 16x3y2/36xy2z3

Answers

[tex] \frac{16 {x}^{3} {y}^{2} }{36x {y}^{2} {z}^{3} } = \frac{4 {x}^{2} }{9 {z}^{3} } \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]

what s y-4=-(x+9) in standard form -this is a alge"bruh" question

Answers

Answer:

y = -9x + 4 ?

Step-by-step explanation:

y-4 I=I -(x+9)

y-4 I=I -9x

+4 I I +4

-------------------

y = -9x+4

Review (Monday)
Date:
2. Mrs. Henry purchased 14 gallons of gas
for $34.72. How much did each gallon cost?

Answers

Answer:

2.48

Step-by-step explanation:

For each gallon she got she paid $2.48. I know this by doing 34.72 divided by 14 which got me the answer of $2.48.

$5.1428, or $5.14 rounded
divide 34.72 by 14 to find the cost of each individual gallon of milk

PLEASE HELP ME ASAP PLEASE!!!
If c is the hypotenuse of a right triangle, find the missing side. If necessary, round to the nearest hundredth.
c= 155, b = 31, a =[ ]

Answers

Answer:

a= 151.87 units

Step-by-step explanation:

Given:

Consider,a right triangle Δ ACB with Angle C as 90°,

and side a, b, and c be the sides opposites to the respective angles. Such that

c = Hypotenuse = 155

b = Shorter leg = 31

a = Longer leg  = ?

To Find:

a = Longer leg  = ?

Solution:

In Right angle Δ ACB

If we apply Pythagoras Theorem we get

[tex](\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}[/tex]

Now substituting the given above values we get,

[tex]c^{2}= b^{2} + a^{2}\\x^{2}  155^{2}= 31^{2}+ a^{2}\\ 24025=961+a^{2}\\\therefore a^{2}=24025-961\\a^{2} = 23064\\ a=\pm 151.8683\\\therefore a = 151.87 .......\textrm{Distance cannot be in negative}[/tex]

∴ a= 151.87 units......(rounded to nearest hundredth)

A carnival charges $1.50 per ride after an entrance fee. You paid a total of $30
after 12 rides. (a)Write an equation that gives the total cost as a function of the
number of rides. (b) Find the total cost for 19 rides.

Answers

Answer:

I didn't really understand but I hope this helps sorry if it doesn't!!

Step-by-step explanation:

r = number of rides

1.50r

1.50×12=18

1.50×19=28.50

12 rides = $18

19 rides = $28.50

and if you need the entrance fee:

30-18=12

so it would probably be $12.

and for the total ig fo the last one it would be:

28.50+12=40.50

so $40.50

Again I didn't really understand the question but I hope this helps!!

I need help ASAP i will mark you are whatever and give thanks but pls help me

Answers

i cant see the whole problem

Answer:

64.28 m

Step-by-step explanation:

In the attached file

A city map has the scale 1inch - 1.000 feet. If a map of the city limits is 36 inches (East to West) by 24 inches (North to
South), how many miles long (5.280 feet = 1 mile) is a straight north-South road in this scale?

Answers

Answer:

4.5 miles.

Explanation:

24 x 1,000 = 24,000

24,000 ÷ 5380 = 4.5

36, 17, 22, 43, 11, 56, 17,71
Range:

Answers

Answer:

Range = highest value - lowest value

= 71-11

= 60

Hope this helps!

71-11 =60

Always Arrange them from least to greatest so be easier and then just take the lowest value and the highest value it’s a Subtract them and then that would give you an answer

PLEASE..EXPERT IN MATH​

Answers

Answer:

x=3

Step-by-step explanation:

one property of a trapezoid and medians is the middle line is half of the bottom and top combined. so the equation would look like this

3x+2+4x+3/2=13.

7x+5/2=13

7x+5=26

x=3

hope this helps,

An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the investor's total profit was $104, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 5% was $(blank). The amount invested in the mutual fund that earned 3% was $(blank). (show your work)

Answers

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

[tex]x+y=2,800[/tex] ----> [tex]y=2,800-x[/tex] ----> equation A

[tex]5\%=5/100=0.05[/tex]

[tex]3\%=3/100=0.03[/tex]

[tex]0.05x+0.03y=104[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]0.05x+0.03(2,800-x)=104[/tex]

Solve for x

[tex]0.05x+84-0.03x=104[/tex]

[tex]0.05x-0.03x=104-84[/tex]

[tex]0.02x=20[/tex]

[tex]x=\$1,000[/tex]

Find the value of y

[tex]y=2,800-x[/tex]

[tex]y=2,800-1,000=\$1,800[/tex]

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

harrison predicted that the actual quotient for 57,872 divided by 305 will be less than the estimate 60,000 divided by 300 equals 200. Is harrison correct? Explain how harrison arrived at his prediction (without dividing the actual numbers)

Answers

Harrison is correct because the 305 in the actual problem is greater than the 300 in the estimate and 57872 is less than 60000. Harrison arrived at his prediction by rounding to the nearest ten thousand and nearest hundred.
Final answer:

Harrison's prediction that the actual quotient for 57872 divided by 305 would be less than his estimate of 200 is correct. This is because the divisor (305) is larger than in the estimate (300), and also because the dividend (57872) is smaller than in the estimate (60000), leading to a smaller quotient.

Explanation:

Harrison predicted that the actual quotient for 57872 divided by 305 would be less than his estimate of 60,000 divided by 300 which equals 200. To understand Harrison's prediction, we have to look at the numbers involved. When you are dividing two numbers, the quotient decreases as the divisor (the number you are dividing by) increases, given that the dividend (the number being divided) remains the same. In this case, 305 is larger than 300, so if the dividend were the same, the quotient for our original problem would indeed be smaller. However, the dividend in our original problem (57872) is smaller than the dividend in the estimate (60000). So we have a smaller number being divided by a slightly larger one, and this will also lead to a smaller quotient. Therefore, Harrison's prediction is correct.

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I will give 100 points to whoever has the best answer

1. Seiji and Gavin both worked hard over the summer. Together they earned a total of $525. Gavin earned $25 more than Seiji.

(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount Gavin earned.

(b) Graph the equations of the system on the graph

(c) Use your graph to estimate how much each person earned, and explain your results.

Answers

Answer:

a)

[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]

c)

Gavin earned $275

Seiji earned $250

Step-by-step explanation:

a) Denoting s as the earning of Seiji and g the earnings of Gavin, we know they together earned $525. This forms the equation

s+g=525, or equivalently

[tex]g=525-s[/tex]

We also know that Gavin earned $25 more than Seiji. It can be written as

[tex]g=s+25[/tex]

Combining both equations we get the system

[tex]\left\{\begin{matrix}g=525-s\\ g=s+25\end{matrix}\right.[/tex]

b)  The graph is shown below

c) Both functions have one point in common. It's the solution of the system. We can conclude that

Gavin earned $275

Seiji earned $250

what are the solutions of x²-4x+5=0?

Answers

Answer:

x=2+i, x=2-i

Step-by-step explanation:

x^2-4x+5=0

Apply the quadratic formula.

There are are no real solutions for this equation.

What is a quadratic equation?

An equation whose highest degree is 2, is called a quadratic equation.

How to solve a quadratic equation?

We can solve a quadratic equation by two ways:

Factorization- If the quadratic expression is factorizable then we can factorize it and equate it to 0. Then we can apply the concept that when product of two or more expressions is 0 then at least one of the expression or both must be 0By Shreedhar Acharya formula- A quadratic equation of the [tex]ax^{2} +bx+c=0[/tex] form  can be solved by the formula given below:

                          [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

                             or

                           [tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

This [tex]\sqrt{b^{2}-4ac }[/tex] is called discriminant.If the discriminant is negative, then the equation have no real solution.How to find the solutions of x²-4x+5=0?

Comparing with the standard equation [tex]ax^{2} +bx+c=0[/tex],

a = 1b = -4c = 5How to check the discriminant?

∴ Discriminant = [tex]\sqrt{b^{2}-4ac }[/tex] = [tex]\sqrt{-4}[/tex]

Here, the discriminant is negative, so there are no real solutions.There are imaginary solutions.

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Solve for z
-153=-19z

Answers

You need to make them even so you would need to isolate them so it would be

-153/-19=8.0526

So it would be

Z=8.0526

Find all points having an x coordinate of 5 whose distance from the point (2,2) is 5.

Answers

Answer:

(5,6) , (5,-2)

Step-by-step explanation:

Let the required point be P(5,y).

Its distance from (2,2) is 5 units.

So, [tex](5-2)^{2}[/tex] + [tex](y-2)^{2}[/tex] = 25.

So, [tex]3^{2}[/tex] +  [tex](y-2)^{2}[/tex] = 25.

  9 +  [tex](y-2)^{2}[/tex] = 25.

   [tex](y-2)^{2}[/tex] = 16

    Two cases are possible for now

case 1 : y-2 = 4 .

            y = 6

required point will be (5,6)

case 2 : y - 2 = -4.

              y = -2.

required point will be (5,-2).

Two points are possible : (5,6) , (5,-2).

If one pencil weighs 9g.What does a box of 8 pencils weight?

Answers

Answer:

82g

Step-by-step explanation:

You multiply 9×8 to find the answer as each pencil is 9g and there is 8 pencils in a box.

72g because 8*9g is 72

Find the next three terms of the geometric sequence 4, 10, 25...

Answers

Answer:

The answers are 31, 46, 52

Step-by-step explanation:

The sequence is 4+6=10, 10+15= 25, 25+6=31, 31+15=46, 46+6=52

8. What is the length, to the nearest tenth, of the line segment that joins points (4, -1) and
(7,5)?

Answers

For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have to:

[tex](x_ {1}, y_ {1}): (4, -1)\\(x_ {2}, y_ {2}): (7,5)[/tex]

Substituting:

[tex]d = \sqrt {(7-4) ^ 2 + (5 - (- 1)) ^ 2}\\d = \sqrt {(7-4) ^ 2 + (5 + 1) ^ 2}\\d = \sqrt {(3) ^ 2 + (6) ^ 2}\\d = \sqrt {9 + 36}\\d = \sqrt {45}\\d = 6,708[/tex]

We round:

[tex]d = 6.7[/tex]

Answer:

[tex]d = 6.7[/tex]

Which segment is a median of triangle GFH

Answers

Answer:

The segment GT is a median of triangle GFH

Step-by-step explanation:

we know that

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

The angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle.

In this problem

SH represent a line segment that bisects the vertex angle H of triangle GFH, so represent an angle bisector.

GT represent a median of triangle GFH, because the point T is the midpoint  of segment FH (FT=TH)

therefore

The segment GT is a median of triangle GFH

What does it mean to say that the amount
Of money from the previous month but is quadrupled

Answers

Answer: The amount of money from the previous month times 4.

Step-by-step explanation:

Solve the system using elimination.
7x - 5y = 26
2x+4y= 2

Answers

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

7x-5y=26

2x+4y=2

--------------

simplify 2x+4y=2 into x+2y=1

-------------

7x-5y=26

x+2y=1

-----------------

x=1-2y

7(1-2y)-5y=26

7-14y-5y=26

7-19y=26

19y=7-26

19y=-19

y=-19/19

y=-1

x+2(-1)=1

x-2=1

x=1+2

x=3

Answer: x=-1,y=0

Step-by-step explanation:

7x - 5y = 26 multiplied by factor of 2 becoming 14x-10y=52

2x+4y= 2 multiplied by factor of 7 becoming 14x+28y=14

now solve by elimination

 14x+28y=14

-(14x-10y=52)

--------------------

38x=-38

x=-1

to find y plug in x to an equation

2(1)+4y= 2

y=0

I need help on it, I don’t know what I’m supposed to do

Answers

Answer:

The length of river frontage for each lot are 96.55 ft. 98.85 ft, 101.15 ft and 103.45 ft.

Step-by-step explanation:

See the attached diagram.

The river frontage of 400 ft will be divided into 84 : 86 : 88 : 90 for each lot as AP, BQ, CR, DS and ET all are parallel.

Therefore, PQ : QR : RS : ST = 84 : 86 : 88 : 90 = 42 : 43 : 44 : 45

Let, PQ = 42x, QR = 43x, RS = 44x and ST = 45x

So, (42x + 43x + 44x + 45x) = 400

⇒ 175x = 400

x = 2.2988.

So, PQ = 42x = 96.55 ft.

QR = 43x = 98.85 ft.

RS = 44x = 101.15 ft and  

ST = 45x = 103.45 ft

(Answer)

2/67 = 18/x
..............................................................................................................................................................

Answers

Answer:

{            } should be the answer glad i could help

Step-by-step explanation: could i get marked as brainliest on this it took up alot of my time

The solution of the given proportionality is x = 603

The given proportionality is,

2/67 = 18/x

Since we know that,

Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, whereas a ratio is expressed as a:b, and a percentage says that two ratios are equal.

In this case, a and b can be any two numbers. The ratio and proportion are important foundations for understanding numerous ideas in mathematics and science.

Now proceeding the expression,

⇒ 18/x = 2/67

Taking reciprocal both sides we get,

⇒ x/18 = 67/2

Multiply 18 both sides we get,

⇒ x = (67x18)/2

      =  67x9

      = 603

Hence,

x = 603

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Match the real-world problem to its constant of proportionality.

$18.36 for 3 pizzas [box]
$4.17 for 3 pounds of bananas [box]
$16.48 for 4 pounds of potatoes [box]
2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

Answers

Answer:

6.12

1.39

4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by [tex]k = \frac{y}{x}[/tex]

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is [tex]\frac{18.36}{3} = 6.12[/tex]

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is [tex]\frac{4.17}{3} = 1.39[/tex]

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is [tex]\frac{16.48}{4} = 4.12[/tex]

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is [tex]\frac{24}{2} = 12[/tex] (Answer)

39 times 49 times 81

Answers

Answer:

154,791

Step-by-step explanation:

Answer:

39 times 49 times 81 = 154791

The signs show the costs of different games at a math festival. How much would it cost n people to play Decimal Decisions and Ratio Rage?

Answers

Answer:

$21.70-3.4n

Step-by-step explanation:

Decimal Decisions: 12.70-n+9

Ratio rage: n÷4

Expression: 12.70-n+9+n/4

Combine 12.70 and 9= 21.70

Bring down the rest of the expression.

21.70-n+n/4

Combine -n and n/4= -4n/4÷1n/4= 3/n

So, the answer is $21.70-3.4n

Final answer:

To determine the cost for n people to play Decimal Decisions and Ratio Rage, we need the cost per person for each game.

Explanation:

To find out how much it would cost n people to play Decimal Decisions and Ratio Rage, we need to know the cost per person for each game. However, the cost for these games is not provided in the question. Can you please provide the cost for each game so that I can help you calculate the total cost?

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