Duke wants to hire someone to re-tile his bathroom. The research he found for three local tilers is presented in the table below. He was able to find the average area of their tiling jobs and the time it took the tilers to complete the job.

Tiler Area Tiled
(square feet) Time
(hours:minutes)
Toni's Tiles 803 2:12
Bob's Bathrooms 1,460 4:00
Rhonda's Restroom Redos 753 1:30
Calculate the unit rate for each tiler above to determine if proportional relationships exist.

The rates at which Toni's Tiles and Bob's Bathrooms tile are ?
to one another.

The rates at which Toni's Tiles and Rhonda's Restroom Redos tile are ?
to one another.

The rates at which Bob's Bathrooms and Rhonda's Restroom Redos tile are ?
to one another.

Two items are in a proportional relationship if they ?
the same unit rate.

Answers

Answer 1

Answer:

Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate

Step-by-step explanation:

The given parameters are;

,                                           Area Tiled (ft²)                                    Time (Hr:min)

,                                            

Toni's Tiles,                                   803                               2:12

Bob's Bathrooms,                         1,460                             4:00

Rhonda's Restroom Redos          753                                1:30

The unit rate for each tiler

Toni's Tiles = 803/2:12 = 803/(2×60 + 12) =  6.083 ft²/min

Bob's Bathrooms = 1460/(4×60) =  6.083 ft²/min

Rhonda's Restroom Redos  = 753/(60 + 30) = 8.37 ft²/min

Therefore we have;

The rates at which Toni's Tiles and Bob's Bathrooms tile are to one another = 6.083 to 6.083  = 1:1

The rates at which Toni's Tiles and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502

The rate at which Bob's Bathrooms  and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502

Therefore, Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate.


Related Questions

6 to the third power divided by 4+2 x 9(32x8-17x4)

Answers

Answer:

3438.

Step-by-step explanation:

6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)

= 6³ ÷ 4 + 2 × 9 (256 - 68)

= 6³ ÷ 4 + 2 × 9 × 188

= 216 ÷ 4 + 2 × 9 × 188

= 54 + 2 × 9 × 188

= 54 + 3384

= 3438

3438 is the answer.

Please help me I need it ASAP

Answers

Step-by-step explanation:

the domain is the interval of x (input) values.

the range is the interval of y (result) values.

a) I would not guess (-3, 5). because -3 for x is at the beginning of the interval. and the end values of y (range) are -4 and 7 - not close enough to 5 to make me make a guess.

b) (2, 5) : 2 is closer to 5 end of the x interval, and 5 is closer to the 7 end of the y interval, so, this is closer correlated, and I could dare a guess.

1. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day? 1

Answers

Answer:

the smallest number of clients that could be interviewed each day is 2

Step-by-step explanation:

From the information given, we are being told that:

Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs.

On the first day, the agency plans to interview clients in groups of 2.

This implies that , a single group contains 2 clients

On the second day, the agency will interview clients in groups of 4.

This implies that, a single group contains 4 clients

If the employment agency will interview the same number of clients on each day,

the objective is to determine the smallest number of clients that could be interviewed each day.

We we are meant to find out here is the Lowest Common Multiple i.e the L.C.M of the group of clients.

So,

the factors  of 2 = 1 ,  2

the factors of 4 = 1, 2 and 4

The lowest common multiple from the above factors is 2

Therefore, the smallest number of clients that could be interviewed each day is 2

Complete the point-slope equation of the line through (8,−8) (9,8) Use exact numbers. y-8=

Answers

Answer:

y-8=16(x-9)

Step-by-step explanation:

slope m=y2-y1/x2-x1

m=8+8/9-8 ⇒ m=16

y-8=m(x-x1)

y-8=16(x-9)

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are given below.

(8, −8) and (9, 8)

The equation of the line that is passing through (8, −8) and (9, 8) will be given as,

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

Simplify the equation, then we have

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

(y + 8) = 16(x − 8)

y + 8 = 16x − 128

y = 16x − 120

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

HELPPPP!!! FAST I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

36% of the muffins sold were carrot.

Step-by-step explanation:

How many carrot muffins we have? 9

How many muffins we have in total? 25

So, 9/25. Convert 9/25 to percentage.

9/25 = 0.36

0.36×100

=36%

Answer:

36%

Step-by-step explanation:

Hello! I hope you are having a great day!! I am happy to help you with this problem.

We know that in total there were 25 muffins sold (you can count them) and 9 of which were carrot. This means that 9/25 of the muffins were carrot. Now we must turn 9/25 into a percentage.

9/25 * 100 = 0.36. 0.36 * 100 = 36%

And thats your answer!!

which number best completes the pattern ?
17,12,7
3,7,11
21,16(?)

a. 12 b. 11 c. 8 d. 3​

Answers

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

Euphrosynelight needs 2x-7 while her friend needs 5x+2 how much in total

Answers

Answer:

7x-5

Hope this helped; mark brainliest if it did! :)

The number of polynomials having zeros as -2 and 5 is a)1 b)2 c)3 d)more than 3

Answers

Answer:

d) More than 3.

Step-by-step explanation:

The polynomial (x - 5)(x + 2)  ( = x^2  - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:

- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.

Solve for x in the diagram below.

Answers

Answer:

x = 45

Step-by-step explanation:

180 = (2x + 45) + x

135 = 2x + x

135/3 = 3x/3

45 = x

Answer:

x = 45

Step-by-step explanation:

The 2 given angles are adjacent snd sum to 180° , then

2x + 45 + x = 180 , that is

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45

The numbers 7, 23, and 25 form a Pythagorean triple. T/F

Answers

Answer:

If you like my answer than please mark me brainliest thanks

False because members of Pythagorean triplet 2m,m²+1, m²-1

If 8x-4=12;then 2x - 1=

Answers

Answer: 21

Step-by-step explanation:

Step-by-step explanation:

tbh I have no idea

doing this for points

so yeah

P(x)=3x2-x-4
Then alpha + bita by alpha*bita =

Answers

Answer:

[tex] = ( \frac{ - b}{a} )( \frac{c}{a} )[/tex]

[tex] = ( \frac{ 1}{3} )( \frac{ - 5}{3} )[/tex]

[tex] = \frac{ - 5}{9} [/tex]

Answer:

- [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

P(x) = 3x² - x - 4

with a = 3, b = - 1 and c = - 4

If α and β are the roots of the quadratic then

α + β = - [tex]\frac{b}{a}[/tex] and αβ = [tex]\frac{c}{a}[/tex] , thus

α + β = - [tex]\frac{-1}{3}[/tex] = [tex]\frac{1}{3}[/tex] and αβ = - [tex]\frac{4}{3}[/tex]

Thus

α + β by αβ

= [tex]\frac{\frac{1}{3} }{-\frac{4}{3} }[/tex] = [tex]\frac{1}{3}[/tex] × - [tex]\frac{3}{4}[/tex] = - [tex]\frac{1}{4}[/tex]

Please help!!!! I’m unsure of the answers

Answers

Answer:

table:

.1, .25, .35, .2, .1

p(x=4) = .1

p(x<2) = .35

p(3≤x≤4)= .55

1.95, 1.12

Step-by-step explanation:

this is kind of hard to read, but i think i've got it

mean:

0*.1+1*.25+2*.35+3*.2+4*.1= 1.95

The second moment:

0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05

the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean

5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12

PLEaSE HELP!!!!!! will give brainliest to first answer

Answers

Answer:

The coordinates of A'C'S'T' are;

A'(-7, 2)

C'(-9, -1)

S'(-7, -4)

T'(-5, -1)

The correct option is;

B

Step-by-step explanation:

The coordinates of the given quadrilateral are;

A(-3, 1)

C(-5, -2)

S(-3, -5)

T(-1, -2)

The required transformation is T₍₋₄, ₁₎ which is equivalent to a movement of 4 units in the leftward direction and 1 unit upward

Therefore, we have;

A(-3, 1) + T₍₋₄, ₁₎ = A'(-7, 2)

C(-5, -2) + T₍₋₄, ₁₎ = C'(-9, -1)

S(-3, -5) + T₍₋₄, ₁₎ = S'(-7, -4)

T(-1, -2) + T₍₋₄, ₁₎ = T'(-5, -1)

Therefore, the correct option is B

What is the value of x

Answers

Answer:4,24

Step-by-step explanation:

2(4x+x)=60

10x=60

x=6

4*6=24

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2 ( l + b ) = 60

here,

l = 4x

b = x

so,

2 ( l + b ) = 60

2 ( 4x + x ) = 60

2 ( 5x ) = 60

5x = 60 / 2

5x = 30

x = 30 / 5

x = 6

so l = 4x = 4 × 6 = 24

b = x = 6

you can also recheck it by

2 ( l + b )

2 ( 24 + 6 )

= 2 × 30

= 60

Which is equal to the perimeter.

Hope this helps

plz mark as brainliest!!!!!

reduce to simplest form -7/12+3/8 =_____

Answers

I simplified it and I got -5/24

Answer:

-5/24

Step-by-step explanation:

make the denominators the same!

5x-2x = 11+14
find the the variable that makes the equation true.

Answers

Answer:

x=25/3

Step-by-step explanation:

I put it into photo math

2/3 divided by -2 (in fraction form)

Answers

2/3 divided by -2

now,

answer= 2/3×1/2

we need to receprocal the number if we have to change division into multiplication...

= 1/3

we cut 2 as it is equal and present in both denomenator and numerator....

Answer:

-2/6

Step-by-step explanation:

Which phrase best describes the relationship indicates by the scatter plotting?

Answers

Answer: negative correlation

Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.

Notice that the slope of the line is negative.

This means it will be a negative correlation.

So the line is a very good estimate of the points.

Quickly please help

Answers

Answer:

6

Step-by-step explanation:

f(x)=2x^3-5x when x=2. So f(2)=6

a b c or d? pls help out thx

Answers

Answer: I'm very sure the answer is B

Step-by-step explanation:

If the rocket is going straight up and it's measuring the height and time in seconds it should be at a slight curve but maintaining it's straight curve up making it a linear.

How many solutions does the nonlinear system of equations graphed below
have?
y
10+
-10
10
-10
A. One
B. Two
0
O
C. Four
O
D. Zero

Answers

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

The number of solutions on the graph is zero

How to determine the number of solutions?

The graph shows a linear equation (the straight line) and a non linear equation (the curve)

From the graph, we can see that the straight line and the curve do not intersect

This means that the graph do not have any solution

Hence, the number of solutions on the graph is zero

Read more about non-linear graphs at:

https://brainly.com/question/16274644

#SPJ5

Need help with 1 and 2

Answers

Answer:

1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

  B is correct

Step-by-step explanation:

I think the answer is b

what is happening to this graph when the x vaules -1 and 1

Answers

Answer:

c.

Step-by-step explanation:

Answer:

Hey there!

The graph is decreasing when the x values are between -1 and 1.

Let me know if this helps :)

WILL GIVE BRAINLIEST PLS HELP

Answers

Answer:

Hello

Step-by-step explanation:

[tex]y=2x^2-12x+19\\=2(x^2-6x)+19\\=2(x^2-2*3*x+9)+19-18\\=2(x-3)^2+1\\\\Vertex\ is\ (3,1)\\\\Axis\ of\ symmetry\ is\ x=3\\\\y-intercept\ is \\\\y=2(0-3)^2+1=19\\[/tex]

Talia spent \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 ​ start fraction, 5, divided by, 6, end fraction was spent on gummy bears.

Answers

Answer:

15/24

Step-by-step explanation:

Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.

What fraction of this week's allowance did Talia spend on gummy bears?

Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.

Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.

This means  that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.

Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.

Answers

The area of a triangle is A = (b*h)/2:
(5 * 8)/2 = 20

38. Which equation represents the data in
the table?

Answers

Answer:

C. y = 2x -4

Step-by-step explanation:

We can use the points (0, -4) and (2, 0).

y = mx + b (m is slope, b is y-intercept)

m = delta y / delta x

m = 4 / 2

m = 2

y = 2x + b

We can plug in (2, 0):

0 = 4 + b

b = -4

y = 2x - 4

Answer:

C. y = 2x - 4

Step-by-step explanation:

In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.

Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.

0=4+b

-4 -4

-4=b

The equation is now. y=2x-4.

Mark currently works part time with a salary of $8000 per year mark plans to quit working and attend college for four years if his college cost will total $64,000 how long will it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating

Answers

The correct answer for this question is: If his college costs will total $64,000, it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating for "2 years."

= 64,000 / 32, 000

= 2 years

Assuming that there'll be no additional costs in the middle of his college.

If you found this please brainliest it :)

Answer:

it is not 2 years

Step-by-step explanation:

Other Questions
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