Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.

Answers

Answer 1

Answer:

  3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.


Related Questions

The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.

Answers

Answer:

Step-by-step explanation:

t2 = a*r

t2 = 6

t5 = a*r^4

t5 = 162

162/6 = ar^4 / ar

r^3 = 27

r = 3

6 = a*3

2 = a

Sum = a(r^n - 1)

           =======

             r - 1

n = 5

a = 2

r = 3

Sum = 2(3^5 - 1)

           =======

               2

Sum = 242

What percent of 80 is 10?

Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?

Answers

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

does anyone know how to do this?

Answers

Answer:

x = 1y = -7

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

  7(2x +3y = -19)   ⇒   14x +21y = -133

  2(-7x +2y = -21)   ⇒   -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

  (14x +21y) +(-14x +4y) = (-133) +(-42)

  25y = -175 . . . . . . . . simplify

  y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

  2x +3(-7) = -19

  2x = 2 . . . . . . . . . add 21

  x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

Additional comment

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

[tex]\sf 6x+4y-2x[/tex]

Answers

Not sure what form you want this in:

Simplified this is 4x+4y

Factorised this is 4(x+y)

Answer:

4(x + y)

Step-by-step explanation:

6x + 4y - 2x

6x - 2x + 4y

4x + 4y

Taking 4 as common

4(x + y)

Name the Marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!

Answers

Answer:

<NLO and <OLN

Step-by-step explanation:

These two angle names are the same. the letters are simply reversed. it's like saying 1+2=3 and 2+1=3. the same. only reversed but still fluent in simplicity.

true or false 3 x 10^4 is 5 times as much as 6 x 10^3

Answers

Answer:

True

Step-by-step explanation:

1. To find if this statement is true or false, we first have to evaluate the value of these numbers.

[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]

2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.

[tex]30,000/6,000[/tex] [tex]5[/tex]

Therefore, this is true.

Read the sentences.

Carlos wanted to go to the arcade so badly, but his father said he had to do his homework first. His father wouldn't budge on his decision.

A synonym for the word budge is change. What does the word budge mean as it is used in this sentence?

To keep
To bend
To disagree
To entertain

Answers

Answer:

To Bend I would say.

Step-by-step explanation:

Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.

How many whole groups of 2 can we make with 7?

Answers

Answer:

We can make 3 whole groups of 2.

Hope that helps. x

Step-by-step explanation:

2, 4, 6, 8

The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.

pls answer quickly

This Histogram shows the heights in inches of members of a middle school volleyball team. How many members are between 50 and 70 inches tall?

A. 12
B. 10
C. 6
D. 4​

Answers

Answer:

I need the photo

Step-by-step explanation:

I need the photo

PLEASE HELP 15 POINTS please give right answer​

Answers

Answer:

pretty sure it's D........

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)

Answers

Answer: Perpendicular

Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.

Answer:

Perpendicular

Step-by-step explanation:

Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.

To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.

Calculate the slope of the lines by dividing the difference in y by the difference in x:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]

m₂ is the negative reciprocal of m₁, so these lines are perpendicular.

Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.

Which relation is a function?


{(4, 2), (3, 3), (2, 4), (3, 2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 4), (2, 3), (3, 2), (4, 1)}

Answers

Answer: Choice D)

{(1, 4), (2, 3), (3, 2), (4, 1)}

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

Explanation:

Let's go through the answer choices one at a time to see what is a function and what isn't.

A) This is not a function because x = 3 repeats itself. In other words, the input x = 3 leads to multiple outputs (y = 3 and y = 2 simultaneously). A function is only possible if any x input leads to exactly one y output. B) This isn't a function either for similar reasoning as choice A. This time x = 2 repeats itself.C) Same idea as the others. We don't have a function because x = 1 repeats itself.D) Each x input is only listed once, so we don't have any x repeats. Therefore, relation D is a function.

In short, choices A,B,C are not functions because they have a repeated x coordinate; in contrast, choice D doesn't have any repeated x values so it is a function.

Side note: The y values are allowed to repeat themselves, but the function won't be one-to-one.

pls help me with this:((​

Answers

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

9.) one to one correspondence

10.)one to many correspondence

Step-by-step explanation:

in 9 it shows that 1-4 are connected to different number

in 10 it shows that a is connected to 2 different numbers

During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final price of a sofa that originally cost $550?

Answers

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

Learn more about the percentage visit:

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Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?

Answers

Answer:

$1.13

Step-by-step explanation:

You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13

Omar's net pay is $2,160. Does he make enough money to make the monthly payments for this apartment?
Security Deposit $500
Application Fee
$10
First Month's Rent $550
Electricity
$25 connection fee: $40 per month
Telephone
approximately $36 per month; $40 to connect
Water
$26 per month; a deposit of $50
Yes
No

Answers

Answer:

Yes he does.  the total to all those numbers is 1277

Step-by-step explanation:

Can someone help me please​

Answers

D does not show to Communicative Property of Addition. D is the Communicative Property of Multiplication.

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

A computer costs £964. A tax of 18.5% is then added to the cost of the
computer.
Work out the amount of tax that is added to the cost of the computer.
Give your answer in pounds (£).

Answers

Answer:

The amount of tax is £178.34, and the full total is £1142.34.

Step-by-step explanation:

Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.

The amount of tax that is added to the cost of the computer is

£178.34.

What is tax?

A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.

Assume the amount of tax that is added to the cost of the computer is

£{x}. Then, we can write the equation as -

{x} = 18.5% of 964

{x} = (18.5/100) x 964

{x} = 178.34

Therefore, the amount of tax that is added to the cost of the computer is

£178.34.

To solve more questions on percentage, visit the link below -

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WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15

Answers

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps

What is the slope of the line

Answers

(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

Help for points please!

Answers

Answer:

A) 0

Step-by-step explanation:

15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.

Answer:

0

Step-by-step explanation:

= [tex]\frac{5}{7}-\frac{5}{7}[/tex]

= [tex]\frac{5-5}{7}[/tex]

= [tex]\frac{0}{7}[/tex]

= [tex]0[/tex]

YES I WILL MARK BRAINLIST !!! Algebra please help me with these Im timed!!!!!!!!
The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

Here is the data that the track coach collected for 8 runners.

Answers

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

What is Data?

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

Learn more about data here:

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Help. Match each equation with its corresponding graph.

Answers

17 = C, 19 = B and 18 = A

Answer:

y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = [tex]\frac{1}{2}[/tex]x + 2; Graph B

hope you get it
{2x−y=4
y−x=4

Answers

Step-by-step explanation:

System of Linear Equations entered :

[1] 2x-y=4 [2] y-x=4

Equations Simplified or Rearranged :

  [1] 2x - y = 4   [2] -x + y = 4

Graphic Representation of the Equations :

y + 2x = 4 y - x = 4

Solve by Substitution :

// Solve equation [2] for the variable  y 

 

[2] y = x + 4

// Plug this in for variable  y  in equation [1]

  [1] 2x - (x +4) = 4   [1] x = 8

// Solve equation [1] for the variable  x 

  [1] x = 8 

// By now we know this much :

  x = 8   y = x+4

// Use the  x  value to solve for  y 

  y = (8)+4 = 12 

Solution :

 {x,y} = {8,12} 

how do i find this find x and y

Answers

Answer:

x = 20, y = 10

Step-by-step explanation:

Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.

Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10

John is renting a boat, it costs $40 for the day and $5 per hour to rent. set an expression for the cost of the boat rental.A) factor the expressionB) how much would it cost for 4 hours

Answers

Answer: B

Step-by-step explanation:

Solve 12x - 6] >10 please help ❤️❤️

Answers

Answer:

Hya there!!

_______________________

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x  >  4 /3

Interval Notation:

( 4 /3 , ∞ )

_______________________

“Sleep my little baby-oh

Sleep until you waken

When you wake you'll see the world

If I'm not mistaken...

Kiss a lover

Dance a measure,

Find your name

And buried treasure...

Face your life

Its pain,

Its pleasure,

Leave no path untaken.”

― Neil Gaiman, The Graveyard Book

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Graph the following features:
Slope = -3
• Y-intercept = -4

Answers

Answer:

maybe (-3,-4)?

Step-by-step explanation:

How many text messages have you sent today?

Answers

Answer: A lot

Step-by-step explanation: I can't count how many

The five-number summary of a data set is given below.
Minimum: 3
Q1:12
Median: 15
Q3: 16
Maximum: 20
Which of the following is the IQR for this distribution?
1
3

4
5

Answers

Answer:

127 is the IQR.

Step-by-step explanation:

C: 4

IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)

Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯

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