The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer 1

Answer:

Statements B, D, E are TRUE

Step-by-step explanation:

A. The expression 50ℎ represents the total charge for Rock the House Digital Designs.

NOT TRUE

The expression 500 + 50h represent total charge for Rock the house digital design

B. The expression 75ℎ represents the total charge for Elegance Home Architects.

TRUE

Elegance Home Architects

75h

C. The cost for using Rock the House Digital Designs for an initial consultation only is $550.

NOT TRUE

The cost for using Rock the House Digital Designs for an initial consultation only is $500

D. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(15)

= 500 + 750

=$1,250

Elegant home architect

$75h

= 75(15)

= $1,125

Elegant home architect is cheaper

E. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegant home architect

$75h

= 75(40)

= $3,000

Rock the House Digital Designs will be cheaper.


Related Questions

ANSWER THIS FAST PLZ

Answers

Answer:

the last one

Step-by-step explanation:

yes, because its graph is a line that passes through the origin.

For A, it's true but in a proportional relationship, the coefficient of x can be negative

B and C are obviously wrong

simplify this expression 10x-5y+2x-37

Answers

Answer:

12x-5y-37

Step-by-step explanation:

10x-5y+2x-37

10+2

12x-5y-37

The answer too this problem is 12x-5y-37

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Answers

Answer:

x = 26

Step-by-step explanation:

1 / 3 (x - 2) = 1 / 5 (x + 4) + 2

1/3x - 2/3 = 1/5x + 4/5 + 2

1/3x - 1/5x = 4/5 + 2/3 + 2

(5x - 3x)/15 = (12 + 10 + 30) / 15

2x / 15 = 52 / 15

2x = 52

x = 52 / 2

x = 26

Answer:

x=26

Step-by-step explanation:

angle 2 and angle 4 are vertical angles prove angle 2 is congruent to angle 4

Answers

Answer:

use therome 2 and 3 and try it

Answer:

answer in picture

Step-by-step explanation:

(please helpppp!!)What are the questions for Module one DBA for algebra? (Flvs)

Answers

Answer:

you should try contacting your instructor if you dont have access to them,

What is the midpoint between the points (-4, 4) and (7, 7)?

Answers

the midpoint of the line segment would be (1.5, 5.5)

six less than three times a number. write an algebraic expression to represent the given phrase

Answers

Answer: 3x-6

Step-by-step explanation:

Let the number be x

3 times the number is 3x

6 less than 3x is 3x-6

Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5

Answers

(-7)^5 means that we are multiplying -7 to it self 5 times.

The only option that shows this is option A.

Best of Luck!

Answer:

7x7x7x7x7= 16807 A is correct.

Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times

Goodluck:)

Write 5.375 as a mixed number in simplest form

Answers

Answer:

5 3/8

Step-by-step explanation:

Step 1:

0.375 = 3/8

Step 2:

5 + 3/8

Answer:

5 3/8

Hope This Helps :)

The difference of a number n and the number 8 is 42. Which of
the following equations represents this statement?

A)n/8 = 42
B) n - 8 = 42
C)n + 8 = 42
D) 8n = 42
E) n = 5

Answers

Answer:

B) n-8=42

Step-by-step explanation:

"difference" means subtraction.

the number is represented by "n" in this problem.

"and" indicates where the symbol goes.

"is" means "=".

The equation that represents the given statement should be n-8 = 42.

Given that

The number n and the number 8 difference should be 42.

Based on the above information,

We know that the difference means subtraction.

So, the following equation should be made.

n - 8 = 42

Therefore we can conclude that The equation that represents the given statement should be n-8 = 42.

Learn more about the equation here: brainly.com/question/21105092

Translate each sentence into a equation

Answers

Answer:

1.     q + 4t = 29

2.     n² + 12 = p /4

3. ( 1/2  j) -5 = k+12

4.  3b -100 = 6xb

5.  g³ = 24 x (g+4)

Step-by-step explanation:  Math language is very simple but needs to be learnt

of   means   x or mulitply

sum means +

is   means  =

a quotient of x and y = x/y which means division

times means  to multiply ( x)

less means  to subtract  ' - '

x to the third power means  x to the exponent 3  or    x³

I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...}

Answers

Answer:

B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}

Step-by-step explanation:

Given function is

f(x) = 500x + 2200

The graph  of this function is attached

Domain is input valueRange is output value

Correct set of domains and ranges of the given function is:

Option BD: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}

Let's find 1/8 + 1/2 . First, write the addition so the fractions have denominator . Then add.

Answers

Step-by-step explanation:

1/8+1/2make both denominators 8

in 1/2 multiply both the numerator and the denominator by 4to get 4/8

1/8 + 4/8=5/8

combine like terms: 3x^2+4y-2x^2-x^2

Answers

Answer: 4y

Step-by-step explanation:

[tex]3x^{2} + 4y - 2x^{2} -1x^{2}[/tex]  To  

3x^2 - 2x^2 -1x^2 = 0  

0 +4y = 4y  

John went on a bike ride to the store 4 miles away. If it took 3/10 of and hour to get there and 1/2 of an hour to get back, what was his average rate of speed for the entire trip

Answers

Answer:

10mph or 10 miles per hour

Step-by-step explanation:

From the question,

John ride 4 miles to the store and 4 miles back

Total distance travelled = 4 miles + 4 miles

= 8 miles

Total time travelled

Time to the store = 3/10 of an hour

Time back from the store = 1/2 of an hour

Total time travelled

= 3/10 + 1/2

= (3 × 2) +(10 × 1)/20

= 6 + 10/20

= 16/20

= 4/5

Total time travelled= 4/5 hour

His average rate of speed for the entire trip formula =

Speed = Total distance travelled (miles)/ Time (hour)

= 8/(4/5)hour

= 8 ÷ 4/5

= 8 × 5/4

= 40/4miles/ hour

= 10 miles/ hour

Therefore, his average rate of speed for the entire trip is 10 miles/hour

Solve for the variable x

m = -12g + x

Answers

Answer:

x=m+12g

Step-by-step explanation:

m=-12g+x

making x subject of formula, we have,

x=m+12g

Hello there!

Question:-

[tex]\sf \longmapsto \: m = -12g + x[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \: m = -12g + x[/tex]

Firstly, Over turn the equation:-

[tex]\sf \longmapsto - 12g + x = m[/tex]

Then Add 12 g to both sides:-

[tex]\sf \longmapsto - 12g+x+12g=m+12g[/tex]

This equation may be rewritten as :-

[tex]\sf \longmapsto - 12g + 12 g + x = m + 12g[/tex]

On Simplification:-

As (-) and (+) equals to (-),

[tex]\sf \longmapsto \: 1g + x = m + 12g[/tex]

[tex]\sf \longmapsto \: x = m + 12g[/tex]

______________________________________

Henceforth,the value of x is :-

[tex] \boxed{\huge \tt \: x = 12g + m}[/tex]

_______________________________

Please let me know if you have any questions.

~MisterBrian

need help finding the area​

Answers

Answer:

256inches

Step-by-step explanation:

8×16 + 8×16

128+128=256

Answer: 288 I think.

Step-by-step explanation: First you find the area of the first rectangle, then the second. You do this by splitting both rectangles and finding the area there. Add those up. Then you want to find you the area for the corners. Add that and there’s your answer.

The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop



Answers

Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.

Explained: The model shows that your number is 0.11

We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.

So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.

Hope it helps

I need to know what the answer to this is in radical form √6⋅√11⋅√5

Answers

Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.


The perimeter of a rectangle is 34 units. If the width
is 5 units, what is the area of the rectangle?

Answers

The answer would be 42.5, because 34 divided by 4 is the length(8.5) Length(8.5) times width(5) is 42.5

to find the sum of 4 and -5.

Answers

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

PLEASE HURRY, ITS TIMED >>>>...

Answers

Answer: the answer is A

Step-by-step explanation:

M and O is collinear. N is not because it is in the middle of that intersection

Is 740 divisible by 10?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740

Hope this helps.

The quotient of forty-five and a number, r ​

Answers

The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.

Peter draws lines r and s as two distinct parallel lines. Select each statement that is true about lines r and s. Lines r and s have exactly one point in common. Lines r and s form at least one right angle. Lines r and s will never intersect. Lines r and s have no point in common.

Answers

2 Answers: Choice C, Choice D

=========================================================

Let's go through the answer choices one by one

A) This is false because parallel lines do not cross or intersect. They cannot have a point in common.B) This is false because lines need to cross in order to form a right angle. C) This is true. Parallel lines never intersect. They are the same distance away from one another at any point along either line. One example of parallel lines are the metal tracks in a railroad.D) This is true. Having a point in common means a point is on both lines at the same time, but parallel likes never cross. So they have no points in common.

Which graph represents a reflection in the y-axis?
Please and thank you

Answers

Answer:

B

Step-by-step explanation:

A reflextion across the y axis is across the center line.

Simply the following expressions:

Answers

Answer:

6.     (2x - 1)

      (3x + 2)

8.       y - 3    

     y² - 3y + 9

Step-by-step explanation:

6.   2x² + 9x - 5

      3x² + 17x + 10

= (2x - 1) (x + 5)

  3x² + 17x + 10

= (2x - 1)  (x + 5)

  (3x + 2) (x + 5)

= (2x - 1)

  (3x + 2)

8.  y² - 9  

    y³ + 27

= (y + 3) (y - 3)

      y³ + 27

=     (y + 3) (y - 3)    

  (y+3) (y² - 3y + 9)

=     y - 3    

  y² - 3y + 9

Answer:

see below

Step-by-step explanation:

6)

2x² + 9x - 5

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

 3x² + 17x + 10

(2x - 1) (x + 5)

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

 3x² + 17x + 10

(2x - 1)  (x + 5)

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

(3x + 2) (x + 5)

(2x - 1)

-----------

(3x + 2)

8)

y² - 9  

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

y³ + 27

(y + 3) (y - 3)

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

   y³ + 27

(y + 3) (y - 3)    

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

(y+3) (y² - 3y + 9)

     y - 3    

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

 y² - 3y + 9

*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram

Answers

Answer:

a)systematic list

Step-by-step explanation:

hope it helps

(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
A.30 meters
B.73.5 meters
C.102 meters
D.105 meters

it C.102 meters

Answers

Answer:

c.102 meters

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Help me please it’s practice

Answers

-3x+80>20
You then move the 20 to right hand side
-3x>20-80
So 20-80 = -60
-3x>-60
You then divide them

= x < 20
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