Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer 1

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount


Related Questions

Work out the value of R
Give your answer in standard form to an appropriate degree of accuracy.

Answers

Step-by-step explanation:

R = x²/y

Substitute

R = (4.8×10⁵)²/2.8×10⁴

= 4.8²×10¹⁰/2.8×10⁴

= 23.04×10¹⁰/28000

Which sequence shows the numbers in order from least to
greatest?
OA) -2.45 x 102, 193, 6.987
OB) 6.987, -2.45 x 102, 793
OC) V93, 6.987, -2.45 x 102
OD) -2.45 x 102, 6.987, 793

Answers

Answer:

D

Step-by-step explanation:

Just did it

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.

Answers

Answer:

and wht is the question?

Kk but how far did she go Bc that would be the way to get to the question

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4
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Answers

Please comment on this so I can see the full question

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

I need help with this question;(

Answers

Answer:

J

Step-by-step explanation:

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.

Answers

The maximum value of the objective function is 3080

The vertices of a feasible region are given as

(14, 2), (0, 9), (6, 8), (10, 3)

The objective function is given as:

[tex]\mathbf{P = 180x + 250y}[/tex]

Substitute the ordered pairs in the objective function

Point (14,2)

[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]

[tex]\mathbf{P = 3020}[/tex]

Point (0,9)

[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]

[tex]\mathbf{P = 2250}[/tex]

Point (6,8)

[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]

[tex]\mathbf{P = 3080}[/tex]

Lastly, we have point (10,3)

[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]

[tex]\mathbf{P = 2550}[/tex]

The maximum value of P is calculated to be 3080.

Hence, the maximum value of the objective function is 3080

Read more about objective functions at:

https://brainly.com/question/11206462

Answer:

3080 is the answer ^

Step-by-step explanation:

Calculate ������(������) when ������(������)=⟨6������−1,−1,3������⟩.

Answers

Answer:

3.7

Step-by-step explanation:

I need #1 done (show work) will give brainliest

Answers

Step-by-step explanation:

Statement                                                        Reason                              

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

what is the answer for

Determine the constant of proportionality for the graph.

10 1/5 5 or 2

Answers

Answer:

1/5

Step-by-step explanation:

y = kx

k is the constant of proportionality

Pick any of the indicated points.

Using point (20, 4)

4 = k(20)

Divide both sides by 20

4/20 = k

reduce

1/5 = k

Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters

Answers

Answer:

Lindsey, who is delivering her speech in a large auditorium

Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

can someone please help me with this

Answers

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

how do you subtract fractions with like numerators

Answers

Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

Help me please I’m bad at slopes

Answers

The slope of this line is 1/1

Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.

Answers

Answer:

Step-by-step explanation:

Solve the attached problem please

Answers

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

the line passes through (-6,9)
perpendicular to y=3x-2

Answers

The key to understand this problem is that perpendicular lines have slopes that are the negative reciprocals of each other. Example, a line with slope 3/4 has a perpendicular with a slope of -4/3. So flip it over and take the negative. Like 7/12 and -12/7 or 2 and -1/2 (because 2 = 2/1)

The slope of y = 3x - 2 is 3 (the number preceding the "x' if the line is in the form y = mx + b)

So the line perpendicular to y = 3x - 2 has a slope of -1/3.

So now you just need to write the equation of the line with slope -1/3 that goes through (-9, 5). Use the point-slope form, y - y1 = m(x - x1) where (x1, y1) is (-9, 5) and m = -1/3

y - 5 = -1/3(x - -9)

y - 5 = -1/3(x + 9)

That's the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.

y - 5 = -1/3(x + 9)

y - 5 = -1/3x - 3

y = -1/3x + 2

A function is described by the equation
f(x) = 3x – 4. If f(x) = 26, what is the
value of x?

Answers

23 is the answer to this 8 point question

find the slope and y intercept.​

Answers

Answer:

the slope is 2

the y intercept is (-4,0)

Step-by-step explanation:

slope is calcuated by rise over run

The slope is 2
Y intercept is (-4,0)
Rise over run

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number? 18

Answers

The eight number is 21

Can someone help:(( graph y=2x

Answers

Answer:

Look at the attached screenshot

Step-by-step explanation:

Slope is 2.

Since y-intercept is not given, we can assume that it is 0.

Answer:

Step-by-step explanation:

Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:

x   y

0   0

2   4

3   6 (and so on).

Plot this (0, 0) (it's the origin).  Next plot either (2, 4) or (3, 6) (or both).  Then draw a line through these points.  

Determine if y=3⋅2z+12 is linear, quadratic, or exponential.

Answers

Answer:

Exponential

Step-by-step explanation:

2z

HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!

Answers

Answer:

181/8

Step-by-step explanation:

Answer:

5x/8 + 43/2

Explanation:

The answer is the exact value.

2 bags of cement cost 3500 how many bags can one buy with 17500​

Answers

Answer:

10

Step-by-step explanation:

2 → $3500

? → $17500

? = 17500 x 2 / 3500 = 3500/3500 = 10

OR

3500 → 2

3500/2 = 1750

17500/1750 = 10

Therefore, whatever method you use, you will get 10 as an answer.

3500 / 2 = 1750
17500 / 1750 = 10
10 bags

What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?​

Answers

Answer:

y=5/4x  

Step-by-step explanation:

(A fraction)

10. What percent of 25 is 10? (1 point)
O10=r. 25: 40%
O 10=r. 25: 250%
025=x: 10; 40
025=r. 10; 250%

Answers

Answer:

40%

Step-by-step explanation:

To change a fraction into a percentage, multiply by 100% , then

[tex]\frac{10}{25}[/tex]

= [tex]\frac{10}{25}[/tex]  × 100%

= 0.4 × 100%

= 40%

a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.​

Answers

The number of players that can be taken to the tournament is 12 players.

The equation that can be used to represent the total amount spent by the soccer team is:

Total amount spent = cost of rented bus + (cost per meal x total number of players)

$1530.50 = $1164.50 + $30.50x

Where: x = total number of player

In order to determine the value of x, the following steps would be taken:

Combine similar terms

$1530.50 - $1164.50 = $30.50x

$366 = $30.50x

Divide both sides of the equation by 30.50

x = $366 / $30.50

x = 12 players

A similar question was answered here: https://brainly.com/question/22358515

please help me with this soon much appreciated.

Answers

Answer:

1 : 2

Step-by-step explanation:

this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2

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