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 a 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.

Answers

Answer 1

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

Rock the House Digital Designs

Cost = $(500 + 50h)

Elegant Home Architects

Cost = $(75h)

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

Answer options:

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

Incorrect. Additional $500 charged.

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

Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875

Related Questions

Write 7.96 as a mixed number in simplest form

Answers

Answer:

199/25

Step-by-step explanation:

Answer:

7 24/25

Step-by-step explanation:

The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.

Hope this helps :-)

Solve for w

12w -24 = 12

Answers

Answer:

12W=24+12

w=36÷12=3

.....

Answer:

w=3

Step-by-step explanation:

12w -24 = 12

=>12w=12+24

=>12w=36

=>w=36/12

=>w=3

Click on the graphic to find the correct line of reflection.

Answers

Answer:

that one is already correct

I need help with my math

Answers

Answer:

okNeed more practice? Just not getting it? Get Math help

please help me i’m struggling over her

Answers

Answer:

Step-by-step explanation:

Its the last graph.

The blue graph is the function y = |x|.

The red one is the graph of y =  5|x|.

This is a vertical stretch of factor 5.


Rashad works at an appliance store. He earns 10
percent of the total amount he sells. The table shows
the amount of sales he made in one day.

Answers

Answer: what is the total amount of Rashad's sales? 1,380

How much does Rashad earn from his sales? 138

Edg.

Step-by-step explanation:

Answer:

1,380 , 138

Step-by-step explanation:

Edge 2021

The boiling point of water is 212°F. The boiling point of helium is –452°F. How would you compare the temperatures using an inequality?

Answers

-452°F < 212°F
A negative number is always less than a positive.

Answer:

-452°F < 212°F

Step-by-step explanation:

Can someone explain this to me with a answer and work that is shown?

Answers

Answer:

[tex]1\frac{19}{30}[/tex]

Step-by-step explanation:

To operate between mixed numbers is always better to write then in fraction form first (as improper fractions), and then operate using the rules to combine fractions.

For the first mixed number :

[tex]4\frac{5}{6} = 4+\frac{5}{6} =\frac{24}{6} +\frac{5}{6}=\frac{29}{6}[/tex]

For the second mixed number:

[tex]3\frac{1}{5} =3+\frac{1}{5}=\frac{15}{5}+\frac{1}{5}=\frac{16}{5}[/tex]

So now we have to subtract these two fractions, so we need to write them with the same common denominator (6 x 5 = 30):

[tex]\frac{29}{6}-\frac{16}{5}=\frac{145}{30} -\frac{96}{30}=\frac{49}{30}[/tex]

and finally we write the obtained answer in mixed number form:

[tex]\frac{49}{30} =1+\frac{19}{30} =1\frac{19}{30}[/tex]

-3 squared + (-4 + 7) (2)

Answers

Steps:

Add  

−9  and  6.

Answer:

−3

Hope this helps (●'◡'●)

Continuing from the first line
-9+3x2
-9+6
-3
I hope this helps!

Factor the expressions.
Step by step please.
x^(2)+34x+120

Answers

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

Answer:

(x+4)(x+30)

Step-by-step explanation:

sorry i am late...

Sean set a lure while playing Pokemon Go. He caught 12 Pokemon in 30 minutes. On
average, how many Pokemon did he catch each minute?
HELPPPPPP

Answers

Answer:

0.4 pokemons per min

Step-by-step explanation:

12/30=0.4

Answer:

i thought u played pokemon go

Step-by-step explanation:

Algebraic Proofs CC
Fill in the Reason for #1
Statements
1. 5(x + 3) = 2x + 3
Reasons

Answers

x = 4

Porque:

5(x + 3) = 2x + 3

5x + 15 = 2x + 3

5x - 2x = 3 - 15

- 3x = - 12

x = -12/ -3

x = 4 ✔️

How many places after the decimal point does the equivalent decimal have if: a. the denominator of the fraction is 10 b. the denominator of the fraction is 100? Look at your answers to problem 4. Explain the reasoning you used to find the answers.​

Answers

Answer:I think A is the answer sorry if I’m wrong

Step-by-step explanation:

The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Here,

We have to determine places after the decimal point does the equivalent decimal have,

The denominator of the fraction is 10 and the denominator of the fraction is 100.

What is Decimal representation?

A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.

Now,

Let the number 2 in numerator,

Denominator = 10

Then, Fraction = 2/10 = 0.2

Hence, The equivalent decimal have 1 places right after the decimal point.

Let the number 3 in numerator,

Denominator = 100

Then, Fraction = 3/100 = 0.03

Hence, The equivalent decimal have 2 places right after the decimal point.

So, The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Learn more about the Decimal representation visit:

https://brainly.in/question/34919225

#SPJ6

A 3-gallon bottle of bleach costs $14.88. What is the price per quart?

Answers

Answer:

1.24

Step-by-step explanation:

there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)

The answer is 1.24! Hope this helps

What is the probability of rolling a 6 sided die and it lands on a 5 or 6

Answers

Answer:

1/3 or 33.3%

Step-by-step explanation:

You can roll a 1 2 3 4 5 or 6

If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.

1/3 = .333333 which can be expressed at 33.3%

Find the value of x.
A.70
B.54
C.40
D.74

Answers

Answer:

a is the value of X

Step-by-step explanation:

The value of the variable x is 40. Then the correct option is C.

What is a circle?

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

Half the differential between the dimensions of the captured arcs is the measurement of an angle made by the two secants, two tangents, or a secant and a tangent from just a point are outside the circle.

Then the equation will be given as,

35° = [(4x + 50) – (3x + 20)] / 2

Simplify the above equation, then the equation will be

35 = (4x – 3x + 50 – 20) / 2

70 = x + 30

 x = 70 – 30

 x = 40

Then the value of the variable x is 40.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

What is equation of a line that is parallel to the line y=5x+8 and passes through the point (1,-3)

Answers

Answer:

The answer is

[tex]y = 5x - 8[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

From the question , the original line is

y = 5x + 8

Comparing with the general equation above

Slope / m = 5

Since the lines are parallel their slope are also the same

Slope of parallel line = 5

Equation of the line using point (1,-3) and slope 5 is

[tex]y + 3 = 5(x - 1) \\ y + 3 = 5x - 5 \\ y = 5x - 5 - 3[/tex]

We have the final answer as

[tex]y = 5x - 8[/tex]

Hope this helps you

what is the area of this figure?

Answers

Answer:

211.5 in²

Step-by-step explanation:

top rectangle: 5x7=35

middle rectangle: 8x9=72

bottom triangle: 1/2(19)(11)=104.5

35+72+104.5= 211.5 in²

Please please help !

Identify the slope, m, and y-intercept, b, of the equation. Then graph the line described by the equation.
y=1/4x
Part A
Identify the slope, m, and y-intercept, b, of the equation.
y=1/4x
Identify the slope, m, and y-intercept, b, of the equation y=1/4x Enter the correct values in the boxes.
m=_;b=_

Answers

Answer:

m = 1/4 b = 0

Step-by-step explanation:

We know that the slope-intercept form of a line is y=mx+b and that our equation is y=1/4x or y=1/4x+0 so m = 1/4 and b = 0  

Help me
What is 1/2 divided by 2/3

Answers

Answer: 0.75 = 3/4

Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.

Answer:

3/4

Step-by-step explanation:

[tex]\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}[/tex]

need asap! solve for x

Answers

Answer:

It's 15

Step-by-step explanation:

(5x+12) (6x+3)=180

5x+6x+12+3=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

hope this helps :)

Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!<3​

Answers

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

can you help me find this ans​

Answers

Answer:

Step-by-step explanation:

50 = 19 + 8 + x

50 - 27 = x

x = 23

Number of students = 50

Apples = 19

Bananas = 8

Other fruits = 23

Percentage of students who chose apples =

19/50 × 100 =

38%

Percentage of students who chose bananas =

8/50 × 100 =

16%

Students that didn't chose apples =

50 - 8 = 42

42/50 × 100 =

84%

Students that didn't chose apples or bananas = 23

23/50 × 100 =

46%

a piece of wire 2/3 m long is to be cut into 6 pieces of the same length. What is the length of each piece?

Answers

Answer:

3/18 or 1/9

Step-by-step explanation:

2/3 divided by 6 = ?

2       1        3

-   x   -  =    -

3       6      18

3/18

Answer:

1/9

Step-by-step explanation:

2/3÷6 = 2/3×1/6 = 1/9

Read each sentence. Then, use the drop-down menus to identify the types of figurative language used. I must be popular because my phone is blowing up. Her smile lit up my day. The dog continued to bark, speaking with authority. He wept like a faucet.

Answers

Answer:

I must be popular because my phone is blowing up.  

✔ hyperbole

Her smile lit up my day.  

✔ metaphor

The dog continued to bark, speaking with authority.  

✔ personification

He wept like a faucet.  

✔ simile

Step-by-step explanation:

Answer:

I must be popular because my phone is blowing up.  hyperbole

Her smile lit up my day.  metaphor

The dog continued to bark, speaking with authority.  personification

He wept like a faucet.  simile

Step-by-step explanation:

Fill in the missing value to make the equations true.

Answers

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2

HELP!!!IT IS MY WORST ENEMY.....MATH!!!!!!!!I WILL GIVE THE CROWN TO THE FIRST PERSON

WHO ANSWERS MY NEXT 2-3 EASY QUESTIONS!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

i kill math for u

Step-by-step explanation:

find the equation of line (use exact numbers)​

Answers

Answer:

[tex]y=3x+3[/tex]

Step-by-step explanation:

Use the slope-intercept form:

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

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( [tex]\frac{rise}{run}[/tex] ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

[tex]y=mx+3[/tex]

Now find the slope. Use the slope formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

[tex](0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3[/tex]

The slope is 3. Insert this value:

[tex]y=3x+3[/tex]

:Done

Can someone answer these questions please I been stuck on this all day

Answers

Answer: Carpet required: 35 square yards. Cost: $700.

Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.

Step-by-step explanation:

Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.

314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.

Multiply the dimensions of the wall to get total square footage.

Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.

The radius of the circle has a length of units.

Answers

Answer: 10 units

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Edg 2021

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