Mr. and Mrs. Nelson are 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 Nelsons, 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 Mr. and Mrs. Nelson hire the design firm. Which of the following statements are true? Select all that apply. he expression 50ℎ represents the total charge for Rock the House Digital Designs.
a.The expression 75ℎ represents the total charge for Elegance Home Architects.
b.The expression 500 + 75ℎ + 50ℎ represents the total amount the Nelsons will spend working drawings of their new house plans.
c.If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
d.If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Answers

Answer 1

Answer:

The correct statements are (a), (c) and (d).

Step-by-step explanation:

The information provided is:

Rock the House Digital Designs charges $500.00 for the initial consultation with the Nelsons 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.The variable h represent the number of hours for which Mr. and Mrs. Nelson hire the design firm.

The total charge for Elegance Home Architects, if the Nelsons choose them will be:

Total for Elegance = 75 × h = 75h.

Suppose  the Nelsons hire the design firm for 15 hours.

Total for Elegance = 75 × h = 75 × 15 = $1,125

Total for Rock = 500 + (50 × h) = 500 + (50 × 15) = $1,250

So, the  Elegance Home Architects will be cheaper.

Suppose  the Nelsons hire the design firm for 25 hours.

Total for Elegance = 75 × h = 75 × 25 = $1,875

Total for Rock = 500 + (50 × h) = 500 + (50 × 25) = $1,750

So, the Rock the House Digital Designs will be cheaper.

Thus, the correct statements are (a), (c) and (d).


Related Questions

Please help 100 points please ASAP :(((

Answers

Answer:

1. line

2. line segment

Answer:

mark the other girl brainiest

Step-by-step explanation:

What is the degree of
5x^2 -4x+2x^3

Answers

Answer:

This is a third-degree trinomial.

Step-by-step explanation:

To find the degree of a polynomial, simply look at the term with the highest power.  In the case of this polynomial, the term with the highest power is 2x^3 which is a third power.  Hence, this is a 3rd degree trinomial.

Cheers.

Drag each expression to the correct location on the solution. Not all expressions will be used.

Answers

Answer:

Hey there!

[tex]8x^3+2x^2-20x-5[/tex]

[tex](8x^3+2x^2)+(-20x-5)[/tex]

[tex]2x^2(4x+1)+(-5)(4x+1)[/tex]

[tex](2x^2-5)(4x+1)[/tex]

Let me know if this helps :)

The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 8x³ + 2x² - 20x - 5

Now, We can simplify as;

⇒ 8x³ + 2x² - 20x - 5

⇒ (8x³ + 2x² )  + (- 20x - 5)

⇒ 2x² (4x + 1) - 5 (4x + 1)

⇒ (4x + 1) (2x² - 5)

Thus, The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

use the graph to determine the domain and range of the relation and state whether the relation is a function

Answers

Answer:

the domain is {0, 1, 2, 3, 4... to positive infinity}

The range is {-1, -3, 0, -4 and so on}

this is not a function

Step-by-step explanation:

domain is a set of all x values, so just write the x values based on the graph

range is a set of all y values, so just write y values based on the graph

not function because it doesnt satisfy with the vertical line test.

i hop it help u

convert 12500 euros into cedis at rate of 1 euro is equal to 4.9 cedis​

Answers

Answer:

12,500 euro = 61,250 cedis

Step-by-step explanation:

1 euro = 4.9 cedis

12500 euro = 4.9 * 12500 cedis

12,500 euro = 61,250 cedis

plz answer it, plz answer it, plz answer it.plz answer it, plz answer it, plz answer it.

Answers

Answer:

Option (C)

Step-by-step explanation:

x and y are two rational numbers.

Two inequalities which define these numbers are,

x + y < 5 ------(1)

3 < x < 5 -------(2)

In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.

Option (A). y = [tex]\frac{8}{3}[/tex]

From inequality (1),

[tex]x+\frac{8}{3}<5[/tex]

[tex]x<5-\frac{8}{3}[/tex]

x < [tex]\frac{7}{3}[/tex]

x < 2.33

But 3 < x < 5, therefore, y = [tex]\frac{8}{3}[/tex] is not the answer.

Option (B). y = 2

x + 2 < 5

x < 3

But x is greater than 3. Therefore, Option (B) will not be the answer.

Option (C). y = 0

x + 0 < 5

x < 5

Inequality (2) states the same thing.

Therefore, Option (C) will be the answer.

Option (D). y = 3

x + 3 < 5

x < 5 - 3

x < 2

But x > 3, therefore, Option (D) will not be the answer.

Answer:

C is correct because if x is less than 5 and greater than 3 than is would most likely be 4 and 4 plus 0 equals 4 the problem says x plus y should be less than 5 and 4 plus 0 is less than 5

Step-by-step explanation:

Long answer short the answer is c

Read the paragraph. Replace each underlined noun by writing a pronoun above it.
Then, read the new paragraph.

Answers

Answer:

Step-by-step explanation:

She

She

Her

He

Their

They

They

Their

We

They

Him

Find the least value of x which satisfies
the equation 4x = 7 (mod 9).

Answers

Answer:

just free your mind drink water and go outside take fresh air you will get answers.

Explanation:

This a best method to solve the answer.I hope it is helpful to you

please help me with this problem :))

Answers

Answer:

ONE IS DA ANSWR 1

Step-by-step explanation:

so 5/12 +5/6 simpify 5/6 you get 5/12 + 10/12 = 15/12 and 15/12 is 1 and 3/12 1/3

please help me on this geometry!!!

Answers

Answer:

∠ PQR = 143°

Step-by-step explanation:

∠ PQR and ∠ SQR are adjacent angles and are supplementary, thus

∠ PQR = 180° - 37° = 143°

I need help with this Operation, 5-(1-5÷(-5)(5+1))? Please help me, I don't know what to do. ​

Answers

Answer:

-2

Step-by-step explanation:

5-(1-5÷(-5)(5+1))

Work the parentheses from the inside out

5-(1-5÷(-5)*6)

Them the Work inside the last parentheses and multiply and divide from left to right

5-(1-5÷(-5)*6)

5 divided by -5 = -1

5-(1-(-1))*6)

-1 * 6 = -6

5-(1- -6)

Then subtract

1 - -6 = 1+6 = 7

5 - (7)

Subtract

-2

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5-(1-\frac{5}{-5} (5+1) )[/tex]

Solving for brackets.

[tex]\displaystyle 5-(1- (-1)(6))[/tex]

[tex]\displaystyle 5-(1+6)[/tex]

[tex]5-7[/tex]

Subtracting both numbers.

[tex]=-2[/tex]

Point E has a positive y-coordinate

Answers

Yes. Point E is on the y- coordinate and it’s might be positive side.

brainliest for anyone that answers correctly

Answers

Answer:

Hey there!

Your answer is close- but not quite! You chose y=10x, however, if you look closely, the cost is 10 at 2 sandwiches. Thus, the slope should be 5, and correct answer would be y=5x.

Let me know if this helps :)

Answer:

the answer should be C

What is the decimal equivalent of each fraction, and/or the fraction equivalent of each decimal? A. 1/4 B. .625 C. 2 7/8

Answers

Answer:

A. 0.25 B. 625/1000 C. 0.875

Subtract 2 5
3 — — —
9 9

Answers

Answer:

2 2/3 or 24/9

Step-by-step explanation:

3 2/9 - 5/9 = 24/9 = 2 6/9

3*9+2 = 29/9

29/9 - 5/9 = 2 6/9

2 6/9 turns into 2 2/3

2 2/3 is equal to 24/9

Answer:

2 2/3

Step-by-step explanation:

What you do is make 3 2/9 into an improper fractions --> 9 * 3 + 2 = 29/9

29/9 - 5/9 = 24/9

So, now you're going to make 24/9 into a mixed number which is 2 6/9 --> 2 2/3

1. En el numeral 341, 427,538 ¿Cuál dígito está en el lugar de la centena de millón? * (1 Punto) A. 2 B. 7 C,4 D. 3 ​

Answers

Answer: D: 3.

Step-by-step explanation:

Ok, vamos a contar los dígitos de derecha a izquierda.

El dígito que ocupa el lugar de la centena de millón va a ser el 9. (o el primero contando de izquierda a derecha).

en el numero 341,427,538 el noveno dígito es un 3.

Entonces el numero que esta en el lugar de la centena de millón es un 3

La opción correcta es D

big boy points for big boy question

Answers

Answer:

36[tex]\sqrt{3}[/tex] + 72

Step-by-step explanation:

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]

Thus width of rectangle = 3 + 3[tex]\sqrt{3}[/tex] + 3 = 6 + 3[tex]\sqrt{3}[/tex]

Hence

area = length × width

        = 12 × (6 + 3[tex]\sqrt{3}[/tex] ) = 36[tex]\sqrt{3}[/tex] + 72 mm ²

36 [tex]\sqrt{3}[/tex]+ 72

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d =  = 3

Thus width of rectangle = 3 + 3 + 3 = 6 + 3

Hence

area = length × width

       = 12 × (6 + 3 ) = 36 + 72 mm ²

if m<FHI=142, what are m<FHG and m<GHI​

Answers

Answers:

angle FHG = 42 degrees

angle GHI = 100 degrees

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

Explanation:

FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.

Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)

This is the angle addition postulate.

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

(angle FHG) + (angle GHI) = angle FHI

(3x+6) + (9x-8) = 142

3x+6+9x-8 = 142

(3x+9x) + (6-8) = 142

12x - 2 = 142

12x-2+2 = 142+2 ... adding 2 to both sides

12x = 144

12x/12 = 144/12 .... dividing both sides by 12

x = 12

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

Use that x value to find the angles we're after

angle FHG = 3x+6 = 3*12+6 = 36+6 = 42

angle GHI = 9x-8 = 9*12-8 = 108-8 = 100

Note how

(angle FHG) + (angle GHI) = 42 + 100 = 142

which is the measure of angle FHI. This confirms the answers.

there are infinite number of correct answers just make sure you identify what​

Answers

one example:

a=-4
b=-1
c=1
d=4

(1 + 4i)^2

Solve please?

Answers

Answer:

-15 + 8i

Step-by-step explanation:

(1 + 4i)²

(1 + 4i) (1 + 4i)

FOIL - first -- outer -- inner -- last

F -- 1 x 1 = 1

O -- 1 x 4i = 4i

I -- 4i x 1 = 4i

L -- 4i x 4i = 16i²

combine terms

1 + 4i + 4i + 16i²

simplify

1 + 8i + 16i²

(i² = -1)

simplify further

1 + 8i + (16)(-1)

1 + 8i - 16

-15 + 8i

PLEASE HELP! What is the equation of the given quadratic function? (I'll put a picture of the graph)

Answers

Answer:

f(x)=x^2+8x+24

Step-by-step explanation:

The reason that it is the 4th one is because there is an x^2 which indicates a quadratic and it is negative because the quadratic is going down

Select the statement that is true about the temperatures -9°F and -7°F.
A
-7°F,< -9°F because -7°F is colder than -9°F.
B
-7°F > -9°F because -7°F is colder than -9°F.
C -7°F >-9°F because -7°F is warmer than -9°F.
D -7°F <-9°F because -7°F is warmer than -9°F.

Answers

Answer:

C. -7f > -9 because -7f is warmer than -9f

Step-by-step explanation:

Process of Elimination

You can rule out B and D because the answer contradicts itself.

Previous Knowledge

We know -7f is warmer than -9f because its closer to 0 so we can rule out A

Therefore through the process of elimination you can conclude the answer is C

Find the value of x.
2549

Answers

360-254=106
x is subtraction and division into 2 so its
(254-106)/2=74

What are the roots of the equation x ^2+ 6x + 8 = 0?

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{x = -4, -2}[/tex]

x² + 6x + 8 = 0

Factor the equation by finding two numbers that sum up to 6 and multiply into 8:

4 + 2 = 6

4 ×2 = 8

Rewrite in factored form:

(x + 4) (x + 2) = 0

Find the roots using the Zero-Product Property:

x + 4 = 0

x = - 4

x + 2 = 0

x = -2.

Therefore, the roots of this equation are at x = -4 and -2.

what is the value of y in the equation 6.4x+2.8y=44.4,when x=3?​

Answers

Answer:

y = 9

Step-by-step explanation:

6.4x + 2.8y = 44.4

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 25.2

y = 9

margo draws a triangle. The lengths of the sides of he triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of three squares to show that the triangle is a right triangle. Which of these could be the area, in square units, of a square that margo uses.

Answers

Answer:

Either of the following square values:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

Step-by-step explanation:

The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

The temperature one afternoon at 3 PM
was 66 degrees and by 10 PM it was 17
degrees. What was the total change in
temperature?

Answers

Answer:

Your answer is 49 degrees

Step-by-step explanation:

66 - 17 = 49

The Diplodocus dinosaur is believed to have become extinct approximately 1.38 x 108 years ago.
The Oviraptor is believed to have become extinct approximately 7 x 10 years ago. How many
years were there between the extinction of these two dinosaur types?

Answers

According to my calculations the 1.37 x 108 can not be past 35km because that is beyond or less than the universe we will all die sooner or later or in years or days or months so 1 2 3 4 - 5 + 2 x 5x 82 136- - 5347 + = e.140071763947832. 7 x 10

Which of the following interpretations for the given expression is correct?

Answers

Answer:

Step-by-step explanation:

Hello friend!!!!!

Third option is the correct answer.

Hope this helps

plz mark as brainliest!!!!!!!

Step-by-step explanation:

Hey, there!!

Option 3 is the correct answer.

here,

when we cube the sum of 5 and 3 times y^2 it looks like,

=[tex] {(5 + 3 {y}^{2}) }^{3} [/tex]

now, when we divide it by cube of the product of 4 and y we get,

=[tex] \frac{ {(5 + 3 {y}^{2}) }^{3} }{ {4y}^{3} } [/tex]

so, answer is option 3.

Hope it helps..

Use the distributive property to find an equivalent expression for each of the following: a. 3(x + y) b. −(2x + 1) c. −4(x + 3y)

Answers

Answer:

a.   3x+3y

b.  -2x-1

c.  -4x-12y

Step-by-step explanation:

basically u just multiply

a. 3(x + y)  

=3x+3y

b. −(2x + 1)

=-2x-1

c. −4(x + 3y)

=-4x-12y

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                        PEACE!

Answer:

a)3x+3y

b)-2x-1

c)-4x-3y

Step-by-step explanation:

a)3(x+y)

3x+3y

b)-(2x+1)

-2x-1

c)-4(x+3y)

-4x-12y

Note:

-&+=-

+&+=+

+&-=-

-&-=+

Hope this helps ;) ❤❤❤

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