Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is the value of r, Hectora's rate of work in part per hour?

Answers

Answer 1

The Hectora's rate of work in part per hour is 18 hours

Given the following parameters:

The time it takes Shawn and Hector to install a tile floor is 6 hours

Time taken by Shawn to install a tile is 9 hoursTime taken by Hectora to install a tile is r hours

Taking the sum of the reciprocals of the time taken;

1/6 = 1/9 + 1/r

1/r = 1/6 - 1/9

1/r = 9-6/54

1/r = 3/54

Cross multiply

3r = 54

r = 54/3

r = 18 hours

Hence the Hectora's rate of work in part per hour is 18 hours

Learn more about reciprocals here: https://brainly.com/question/2534506

Answer 2

Answer:

Step-by-step explanation:

1/9


Related Questions

A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6. 57 each for two potted begonias and $2. 60 each for three tomato seedlings, how much did you save? a. $3. 83 b. $5. 31 c. $6. 92 d. $9. 6.

Answers

Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

Discounted cost = Original cost x (1 - Discount)

6.57 = Original x (1 - 27%)

Original = 6.57 / 0.73

Original = $9.00

The savings here are therefore:

= 2 x (9 - 6.57)

= $4.86

The original cost of the Tomato seedlings is:

= 2.60 / ( 1 - 35%)

= $4.00

Savings would be:

= 3 x (4 - 2.60)

= $4.20

Total savings are therefore:

= 4.86 + 4.20

= $9.06

In conclusion, $9.06 was saved.

Find out more on this at https://brainly.com/question/25748983.

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.



1. How many band members are sixth graders?
band members

2. How many band members are seventh graders?
band members

3. What percentage of the band members are eighth graders?

Answers

Answer:

1=28 students 2=14students 3=40%

Step-by-step explanation:

1. 70 students = 100%

7 students = 10%

28 students = 40%

28 students are sixth graders!

2.70 students = 100%

7 students = 10%

14 students = 20%

14 students are seventh graders!

3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%

40% are eighth graders!

Find the perimeter of the shape below:

Answers

Answer:

8m

Step-by-step explanation:

Hey ya'll I need help on this question

Answers

Answer:

285.2

Step-by-step explanation:

2852.1/10 = 285.21

but rounded to the nearest tenth is 285.2

Answer:

285.2

Step-by-step explanation:

After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.

Simplify the expression
x - (-2x + 4)

Answers

I came up with my answer 3x - 4

PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY

Answers

Answer:

Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air

First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.

Hope this helps!

What percentage of 50 is 12?

Answers

Answer:

that would be 24%

Step-by-step explanation:

Now we can see that our fraction is 24/100, which means that 12/50 as a percentage is 24%.

Answer:

24%

Step-by-step explanation:

the fraction form is 24/100, meaning the percentage is 24% put of 100%

PLEASE HELP. WILL MAKE BRAINLIEST!!!!
1 cup of water with 1 1/2 teaspoons of powdered drink mix
2 cups of water with 1/2 teaspoon of powdered drink mix
1 cup of water with 1/4 teaspoon of powdered drink mix

Which of these recipes is for the stronger tasting mixture. Explain how you know.

Answers

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.

Answers

Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

Read more about systems of equations at:

https://brainly.com/question/14265399

A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.

Answers

I’m not sure what you’re asking here

Answer:

the tip is $20 and the food costs $120

Step-by-step explanation:

it says that the bill is 120

when family leaves they spend 140 total

140-120=20

$20 tip

Find the measures of the interior angles of the triangle,

Answers

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?

2x- 1=5x-14

5(2x-1)=5x-14

2x-1=5

None of these choices are correct

Answers

Answer:

None of these choices are correct

Will mark brainliest if you help me pleaseeee

Answers

[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

10+4.5m=21.25
Solve for M

Answers

Answer:

m = 2.5

Step-by-step explanation:

10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5

Conclusion:

Therefore, m = 2.5

Hoped this helped.

[tex]GeniusUser[/tex]

. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3

Answers

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window

Answers

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: [tex]A=\frac{a+b}{2} h[/tex]

a = 10 , b = 14 and h = 8

plug in these values into formula

[tex]A=\frac{10+14}{2} 8[/tex]

add 10 and 14 to get 24

[tex]A=\frac{24}{2} 8[/tex]

simplify fraction : 24 / 2 = 12

[tex]A=(12)(8)[/tex]

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

Need help with this question brainliest for correct answer

Answers

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

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

We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4 hours. If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

so for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25

Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?

Answers

Answer: 15 1/3 or 15.333333

Step-by-step explanation:

what are 43.6÷8 use compatible numbers using the quotient

Answers

Answer:

7.3

Step-by-step explanation:

Can someone please help me with this and fast

Answers

Answer:

  B) √a

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  √a = a^(1/2)

  (a^b)/(a^c) = a^(b-c)

__

A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)

B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)

C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)

D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)

Hey! Please help me

Answers

Answer:

Exact: 10.08

To 1 decimal place: 10.1

Step-by-step explanation:

Just ask.

Hope this helps.

Whats the answer to these questions?

Answers

Answer:

Answer is in the attached file.

if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .

don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams

thx for answering :)

Answers

We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25

[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]

[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]

[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]

[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]

[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]

[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]

Hence ,

x : y = 3 : 4

[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]

Use cross multiplication

[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]

[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]

[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]

[tex]\\ \sf\longmapsto 21y=28x[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]

Cut 7

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto x:y=3:4[/tex]

At the beginning of the year, Wyatt had $40 in savings and saved an additional $14 each week thereafter. Julian started the year with $20 and saved $19 every week. Let WW represent the amount of money Wyatt has saved tt weeks after the beginning of the year and let JJ represent the amount of money Julian has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the interval of time when Wyatt has more in savings than Julian.

Answers

Answer:

4 weeks

Step-by-step explanation:

Wyatt's equation:

t=14w+40

Julian's equation:

t=19j+20

Since both equations equal the same thing, or t, we can equal them against each other as 1 equation

14t+40=19t+20

(subtract 20 from both sides)

14t+20=19t

(subtract 14t from both sides)

20=5t

(divide both sides by 5)

t=4 weeks

t - 2 2/3 = - 5/2
A. 1/6
B. -1/6
C. 4 1/3
D. -4 1/3

Answers

Ok done. Thank to me :>
the answer is a) 1/6

Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE​

Answers

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

which is a line of symmetry

Answers

Answer:

is there a pic?

Step-by-step explanation:

we are able to see

Solve for W.
A=6W
help timed

Answers

-6W=-A
6W=A
W=A/6 is the answer your looking for
Hope this helped!

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

What is the greatest common factor of 31 and 45?

Answers

The Answer is 15,good look!

Greatest Common Factor of 31 and 45 is :

(i) 1
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