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:

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

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

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

Step-by-step explanation:

Which of the following statements are true? Select all that apply.

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

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

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

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

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

Answer:

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. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:

Total charge for Rock the House Digital Designs = 500 + 50h

Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:

Total charge for Elegance Home Architects = 75h

A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h

B) Option B is correct because the total charge for Elegance Home Architects = 75h

C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500

D) For a period of 15 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250

Total charge for Elegance Home Architects = 75h = 75(15) = $1125

Option D is correct because Elegance home architect would be cheaper

E) For a period of 40 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500

Total charge for Elegance Home Architects = 75h = 75(40) = $3000

Option D is correct because Rock the House Digital Designs would be cheaper


Related Questions

a. pattern:
b. recursive equation:

Answers

Answer:

Pattern

Step-by-step explanation:

It is a pattern because on X it goes down one. On Y it goes down 3.

In the expression , dividing by is the same as... O multiplying by 5 O multiplying by O multiplying by O dividing by​

Answers

Answer:

B multiplying by 3/2

Step-by-step explanation:

Answer:

1 1/5

Step-by-step explanation:

1) 4/5 \ 2/3

2) 4/5 X 2/3

3) Simplify the 4 and 2

* 2/5 x 3/1 = 6/5 = 1 1/5[tex]\frac{4}{5}[/tex]

ANSWER

A cope machine makes 32 copies per minute. How many copies does it make in 4minutes and 15 seconds?

Answers

Answer:

136

Step-by-step explanation:

4 times 32 = 128

32/4=8

128+8=136

Answer:

135

Step-by-step explanation:

1. divide 32 by 60 to get how many copies per second

[tex]32/60 = 0.533[/tex]

2. convert 4min and 15 sec to seconds

it is 255 seconds

3. Multiply copies per second by number of seconds

[tex]0.533(255) = 135.91[/tex]

4. Round down to whole number because you can't copy part of a paper

b5c8 divided by b3c2

Answers

Step-by-step explanation:

b×5×c×8/b×3×c×2

5/3×4

the answer is 20/3

HELPPP PLEASEEEE I NEED THE ANSER Select the most precise and correct definition of parallel lines from among those that are given. Choose 1 answer: (Choice A) A Two distinct lines are parallel if one can be rotated to sit on top of the other. (Choice B) B Two distinct lines are parallel if they point in the same direction. (Choice C) C Two distinct lines are parallel if they are in the same plane and never intersect each other.

Answers

Answer:

C. Two distinct lines are parallel if they are in the same plane and never intersect each other.

Step-by-step explanation:

Parallel lines are best defined as 2 different lines that are in the same plane and will never intersect each other at any point in the graph.

They are always the same distance apart and will never touch.

So, C is correct

Answer:

C

Step-by-step explanation:

The very definition of parallel lines is that they have the same slope, if they have the same slope, they will never meet.

How are linear equations and linear inequality similar and different?​

Answers

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY Your answer​

Answers

Answer: 60 feet

Step-by-step explanation:

Fron the question, we have been told to use a scale factor of 1 inch:12 feet. This simply means that 1 inch has been represented to 12 feet of the actual dimension.

We are further told that a plastic toy bird has a wingspan of 5 inches. The actual bird wingspan will therefore be 5 multiplied by 12 feet and this will be:

= 5 × 12 feet

= 60 feet

A plastic toy bird that has a wingspan of 5 inches has an actual bird wingspan of 60 feet

2.
aq - 8) = 23
Solve for q.
Sb please help me

Answers

Answer: q=31

Step-by-step explanation:

q -8 = 23    Add 8 to both sides

  +8    +8

q = 31

Function h is a transformation of the parent exponential function, f(x)=2^x. h(x)=-3*2^x Which statement is true?

A. Function h is a vertical translation of function f. B. Function h is a reflection and a dilation of function f. C. Function h is a reflection and a translation of function f. D. Function h is a horizontal translation of function f.

Answers

Answer:

Function is a reflection and dilation of function f.

Step-by-step explanation:

A reflection gives the mirror image of function.

A function can be reflected about an axis by multiplying by -1.

To reflect function about the x-axis, multiply f(x) by -1 to get -f(x).

The correct option is: B. Function h is a reflection and a dilation of function f.

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

The functions are:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = -3 \times 2^x[/tex]

It can be seed that g is f multiplied by -3.

The multiplication by a constant means that a dilation happened.Since the constant is negative, it means that a reflection also happened.

In the image at the end of this question, it can be seen that the g, the blue graph, is a reflected and dilated version of f, the red graph.

Thus, the correct answer is:

B. Function h is a reflection and a dilation of function f.

A similar problem is found at https://brainly.com/question/17673148

Number 63 please help I’m desperate

Answers

8,45=845/100 dür.

[tex]\frac{845}{100} .\frac{1}{100}[/tex]

that is;

845/100000

namely

0,000845

My answer to the question is 0.0845.

You just need to move 2 times to the left...

The endpoints of CD are C (4,6) and D(-1,-1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OD
6 HELP ME PLEASE I REALLY NEED HELP FAST 30 points

Answers

Answer:

M = (1.5, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = C(4, 6) and (x₂, y₂ ) = D(- 1, - 1) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (4 - 1) , [tex]\frac{1}{2}[/tex] (6 - 1 ) ] = (0.5(3), 0.5(5) ) = (1.5, 2.5 )

PLEASE HELP I HAVE A TON OF QUESTIONS AND EVERYTIME I REDO THIS ON THE TEST IT SAYS IM WRONG

Answers

Answer: the lengths of the line segments. hope this helps!

Step-by-step explanation:

The value of coins in the pockets of several students is recorded. What is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50.60

a. 10 cents
b. 35 cents
c. 37.5 cents
d. 50 cents​

Answers

Add them all up and divide by 10

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

what is the radius and circumference for this problem? ​

Answers

radius is 4.25
circumference is pie*d which is 26.71

Pls help ASAP, will give barinliest

Answers

Answer:

a

b

d

Step-by-step explanation:

im to lazy but subtract 180 and the others are equal just compare small angles to big ones and should equal 180

Answer: A, C, and D are correct

1) 10x + 3y + 5x =
2) 2x + 7y+ 4x+6x? -
3) 9y+3y + 5x =
4) 2y + 7y + 4y + 6y' =
I
5) 8x + y - 2x =
6) x + 7y - 4y +9x?
7) 14x - 3x + 2 y = y + 3x -
8) 5y + 5y + 5y + 5x





What are the answer for these problems you need to simplify the expression by combining like terms

Answers

Answer:

Step-by-step explanation:

Terms with same variables are like terms

1) 10x + 3y + 5x

Here, 10x and 5x are like terms. so add them

10x + 5x + 3y = 15x +3y

2)2x + 7y +4x + 6x = 2x + 4x + 6x + 7y = 12x + 7y

3)9y+ 3y +5x = 12y +5x

4)2y +7y +4y +6y = 19y

5)8x + y - 2x = 8x  -2x + y = 6x + y

6) x + 7y -4y +9x = x +9x  + 7y - 4y    = 10x + 3y

8) 5y +5y +5y +5x = 15y + 5x

Graph -23 +y = 8.
y
8
9
8+
7+
6+
4+
3+
2+
1+
2
-9-8-7 -6 -5 -4 -3 -2.
1 2 3 4 5 6 7 8 9
-2+
-3+
-4+
-5+
-6t
-7+

Answers

Answer:

in the proprety of the number of negs and postive and y the graph -23+y=8 being that the nuber is -15

is -17.84 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

-17.84 can be written as a/b where a and b are integers

-1784/ 100

This is a rational number

Asap please help me solve this Inequality?
[tex]3(x + 6) - 2(x + 2) \geqslant 10[/tex]

Answers

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]3(x+6)-2(x+2)\geq 10[/tex]

First, distribute:

[tex](3x+18)+(-2x-4)\geq 10[/tex]

Combine like terms:

[tex](3x-2x)+(18-4)\geq 10[/tex]

Add:

[tex]x+14\geq 10[/tex]

Subtract 22 from both sides:

[tex]x\geq -4[/tex]

And we're done!

The product of 5 and the difference of 1 and a number.

Answers

Answer:

Simplify.

There's a product, so we are multiplying.

5 x...

The difference of one and a number. The number is a variable, since it could be any number.

1 - x

Let's combine them.

5 x (1 - x)

5(1 - x)

Hope this helped!

Mark this Brainliest, not that it matters.

Good luck :)

Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 3 hours? How much gas would be left after t hours?

Answers

(1.25)t=gallons    so 1.25 times the ammound of hours

What is the opposite value of -(-9) ?

Answers

Answer:

9

Step-by-step explanation:

two negatives make a positve

Answer:

-9

Step-by-step explanation:

Whenever you are given an expression, first look at it. Since there are two negative signs in the equation, they cancel out, leaving a nine. The opposite value most likely means that the sign is the opposite, so you end up with -9 as the value.

7y ^3 −7x^3 +4−5+6−3x^3 +6x^3
Combine Like Terms

Answers

Answer:

-4x^3 + 7y^3 + 5

Step-by-step explanation:

7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3     Given

7y^3  - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6     Rearrange

7y^3 - 4x^3 + 5                                        Combine the like terms

or

-4x^3 + 7y^3 + 5                                       Answer

Identify which equation represents a line parallel to the given equation 2x+5=25 asap please

Answers

Answer:

10

Step-by-step explanation:

2x(+5)=(25)< subtract 5 to each side

2x=20<divide 2 to 20

x=10

Write an equation of the parabola in vertex form.

Answers

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

Answer:

y =0.25(x-4 )^{2}-1

Step-by-step explanation:

The formula of vertex form is as follows:

Y = a(x-h)^2+k

h = the x value for the vertex (in this case it is 4)

k = the y value for the vertex (in this case it is -1)

If you input these into the equation you are left with:

Y = a(x-4)^2-1

To find 'a' I just entered this equation into the Desmos calculator and messed around with the value until the y-intercept was (8,3)

I hope this was able to help! ^_^

Which of the following equations is not written in general form?
2y = 7x - 19
2x + 5y - 9 = 0
5y - 9 = 0

Answers

Answer:

2y = 7x - 19

Step-by-step explanation:

can you accept my invite plz i wanna chat

and is it right

Please solve -21+6x=3(3x-5)-x

Answers

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−21+6x=3(3x−5)−x

−21+6x=(3)(3x)+(3)(−5)+−x(Distribute)

−21+6x=9x+−15+−x

6x−21=(9x+−x)+(−15)(Combine Like Terms)

6x−21=8x+−15

6x−21=8x−15

Step 2: Subtract 8x from both sides.

6x−21−8x=8x−15−8x

−2x−21=−15

Step 3: Add 21 to both sides.

−2x−21+21=−15+21

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

Simplify.
7/11 -3/11

Answers

Answer:

4/11

Step-by-step explanation:

7/11-3/11

=>(7-3)/11

=>4/11

pls help
Lcm of 4 and 15?
least common multiple

Answers

Answer:  60

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

Explanation:

Multiply the two values to get 4*15 = 60

Then divide by the GCF 1 to get 60/1 = 60. The GCF being 1 means the result hasn't changed.

------

Another example would be: "Find the LCM of 6 and 8". We would first do 6*8 = 48, then divide by the GCF 2 to get 48/2 = 24. The LCM of 6 and 8 is 24.

Answer:

60

Step-by-step explanation:

Simplify the expression
(-3+4k) - (-2+ 7k)

Answers

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

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