Mrs. Russo takes 3 minutes less than Mr. Lloyd to pack a shipping box when each works alone. One day, after Mrs. Russo had spent 6 minutes packing, her boss called her away for a meeting. Mr. Lloyd finished packing that same box in 4 minutes. How many minutes would it take each employee to pack the shipping box alone?

Answers

Answer 1

Answer:

Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.

One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes.

How many minutes would it take Mr. Russo alone to pack the case?

:

Let t = time required by Russo alone

then

(t+3) = time required by Lloyd alone

:

Let completed job = 1; (a packed case)

:

Russo + Lloyd = completed job

6%2Ft + 4%2F%28%28t%2B3%29%29 = 1

:

Multiply by t(t+3)

t(t+3)*6%2Ft + t(t+3)*4%2F%28%28t%2B3%29%29 = 1t(t+3)

:

Cancel the denominators, and you have:

6(t+3) + 4t = t^2 + 3t

6t + 18 + 4t = t^2 + 3t

10t + 18 = t^2 + 3t

:

Arrange as a quadratic equation on the right:

0 = t^2 + 3t - 10t - 18

t^2 - 7t - 18 = 0

Factors to

(t-9)(t+2) = 0

:

The positive solution is what we want here:

t = 9 minutes, time required by Russo alone

:

:

Check solution in original shared work equation (Lloyd requires 12 min)


Related Questions

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

39°

Step-by-step explanation:

39+102= 141

180-141= 39

Jake throws a dart that hits the square shown below:

A square is drawn. A circle of radius 8 units touches the sides of the square.

What is the probability that the dart hits a point in the circle?

(1) 16%
(2) 21.5%
(3) 64%
(4) 78.5%

Answers

21.5.......:::..............:.::.::..

I need to find the value of x help needed

Answers

Answer:

x=33°

Step-by-step explanation:

Hi there!

We're given a triangle, with 2 known measures of angles in the triangle

54° and 93°

the other (unknown) value is x

the angles in a triangle add up to 180°

therefore, to find the value of x, we can add up the values of the 3 angles and set that to equal 180

54°+93°+x°=180°

add 54 and 93

147°+x°=180°

subtract 147 from both sides

x=33°

so the value of x is 33 degrees

Hope this helps!

What type of data distribution is shown on the
graph? V symmetric
Coin Toss
0.6
0.4
Probability P(X)
0.2
0
0
1
2
Number of Heads: X
COMPLETE
The mean is

Answers

Answer: B, C, C

Step-by-step explanation:

The type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.

What is data distribution?

The data distribution is a way to represent the values of a set of data or information. The distribution of data is generally represented in a particular order.

In the given graph, the data distribution is shown for the coin toss. The probability P(X) is shown on the y-axis of the graph, and the number of heads is shown on the x-axis.

There are two types of data distribution shown on the graph.

Symmetric - The data distribution shown on the graph is symmetric over x = 1.

Discrete - The data distribution shown on the graph is discrete because the values of X are distinct.

Hence, the type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.

Learn more about the data distribution here;

brainly.com/question/25983327

#SPJ7

The complete question is attached

Nicholas is adding by place value from right to left. When he adds the hundredths, he gets 0.46. Describe what his next step should be. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  record 6 hundredths; add 4 to the numbers of tenths

Step-by-step explanation:

Nicholas needs to write down the 6 and "carry" the 4, adding it to the numbers of tenths.

Depending on the method you've been taught, the 4 may be written above the column with place value of tenths, or it may be written on a separate sum line.

Pleaseeee quick Amanda graphed line mand line non a
coordinate plane, as shown below. Which of
the following statements is true?

A. The slope of line mis greater than the
slope of line n.
B. The slope of line n is greater than the
slope of line m.
C. The x-intercept of line mis greater than
the x-intercept of line n.
D. The x-intercept of line n is greater than
the x-intercept of line m.

Answers

Answer:

either B or D you might have made a mistake sending the choices

Step-by-step explanation:

D)The x-intercept of line n is 0 while the x-intercept of line m is -7

B)The higher the slope of a line, the sharper the slope

Answer:

it's B the slope of line n is greater than the slope of line m.

Edgar has a bag of 10 marbles (3 green, 5 blue, and 2 red). If he picks one marble out of the bag at random, what’s the probability that he will get a blue marble? Explain how you determined that probability.

Answers

There are 5 blue marbles and 10 total marbles.

The probability of picking blue is the number of blue marbles/ total marbles.

Probability = 5/10 which reduces to 1/2

The answer is 1/2

Factor the expression. 81v2 – 100

Answers

Answer (9v-10)(9v+10)

Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45

Answers

Answer:

c

Step-by-step explanation:

Write the expression as a product of two factors.
2* 1 + (1+7) + (762)

Answers

Answer:

put answer in link

alekscgi/x/Isl.exe

Step-by-step explanation:

Answer:

771

Step-by-step explanation

Which expression is equivalent to 6 (3x + 4)?
18.1 + 24
183 +4
92 +10
91 +4


Pls hurry

Answers

18.1+24 hshshgsbsjhssjjs

Plz help me well mark brainliest if correct!!....

Answers

Answer:

A. First grade boys

Answer:

First grade boys

Step-by-step explanation:

The taller the bar the more value it has and green is for boys and blue is girls.

the first green bar is the lowest so they sold the least amount

Write an equation in slope-intercept form for the following line:

(-14,1) and (13,-2)

Answers

Answer:

y=1/9x-5/9

Step-by-step explanation:

just use slope intercept to find the slope then point slope form to find the line

In AJKL, 1 = 620 inches, k = 910 inches and ZK=53°. Find all possible values of ZL,
to the nearest degree.

Answers

Answer:

33 degrees is your answer

If the line through (-2,4)and ) 5,D)is parallel to the graph of y= 3X +4 find the value of d

Answers

Answer:

D = 25

Step-by-step explanation:

For 2 lines to be parallel, they must have the same sloe;

Given the coordinates (-2,4)and (5,D)

Slope = D-4/5-(-2)

Slope = D-4/5+2

Slope = D-4/7

Given the equation y = 3x + 4, comparing to y = mx+b

mx = 3x

m = 3

Hence the slope is 3

Equating the slopes

D-4/7 = 3

D-4 = 3*7

D-4 = 21

D = 21+4

D = 25

Hence the value of D is 25

A teacher is four times as old as a student. In 28 years, the student's age will be half of the teacher's age. How old are they now?
The age of the teacher is
years.
The age of the student is
years

Answers

Here, let the age of student be x and teacher be 4x after 28 years, the teacher is double the age of student. So the age of teacher will be 4x+28 and student will be 2(x+28)
So,
4x+28=2(x+28)
4x+28=2x+56
4x-2x=56-28
2x=28
x=14
Therefore the age of the teacher in present will be
=4x+28
=4*14+28
=84
And age of student will be:
=x+28
=14+28
=42
Hope this helps


Alex had 23 coins in his collection. He found 5 coins and gave Bill 8 coins. How many coins does Alex have now?

Answers

alex has 20 coins now

Answer:

alex has 20 coins since 23 + 5 - 8 = 20

step-by-step explanation:

Anyone can solve this for me thx

Answers

Answer:

16

Step-by-step explanation:

Help PLZZ NO FILES PLZZZ

Answers

Answer:

B

Step-by-step explanation:

C is 31, so we add a negative to make it the opposite.

please help me answer these 2 questions, worth lots of points

Answers

For the first one, to find x, you are going to take that entire side which would equal to 180 and solve. 2x+20+55=180 would then go down to 2x+65=180 once you add the 20 and 55. Then subtract 65 to both sides and divide your final answer 115/2 which is x=57.5. For the second one it’s 4x-2+21=180, then you will subtract 2 from 21 and get 19. After you would subtract 19 by 180 and divide 4 by each side, getting x=40.25 as your final answer.

state is a given functions are inverses. NO LINKS!! Part 2

Answers

Step-by-step explanation:

5.

g(x)=-2x+1

let y=2x+1

Interchanging role of x & y

x=2y+1

y=½x-½

g-¹(x)=½(x-1)

not

equal to f(x)=-x+1

Given function are not function of each other .

6.

g(x)=-x

let

y=-x

Interchanging role of x & y

x=-y

y=-x

g-¹(x)=-x

not

equal to f(x)=3+⅓x

Given function are not function of each other .

9514 1404 393

Answer:

  none of the function pairs are inverses

Step-by-step explanation:

Inverse linear functions will meet all of several requirements:

each is a reflection of the other about the line y=xthe solution of the simultaneous equations in on the line y=xin standard form, the coefficients are swapped (only)the product of the slopes is 1

_____

For these problems, it is probably easiest to look at the last requirement. Each function is given in slope-intercept form, so the slope is simply the x-coefficient.

5) The product of slopes is (-2)(-1) = 2 ≠ 1 . . . NOT inverses

6) The product of slopes is (-1)(1/3) = -1/3 ≠ 1 . . . NOT inverses

7) The product of slopes is (-4/3)(-1/2) = 2/3 ≠ 1 . . . NOT inverses

8) The product of slopes is (3/2)(-5/2) = -15/4 ≠ 1 . . . NOT inverses

Graph the image of N(3, -1) after a rotation 180° clockwise around the oriGin

Answers

Answer:

(-3, 1)

Step-by-step explanation:

180° rotation clockwise:  (x,y) becomes (-x,-y)

I don’t get how they added to get the amount of money earned, I need help if you can explain how I can find the amount of money earned for 40 hours.

Answers

Answer:

its 34

Step-by-step explanation:

you just add

Answer:

330

Step-by-step explanation:

123.75 : 15= 8,25--> the money you earn in one hour.

8,25 x 10= 82,50--> the money you earn in 10 hours.

247,50 (30h) + 82,50 (10h)= 330 (40h)

:)

What is the value of y in the equation 4+ y = -3? (1 point)
07
0 1
O-1
0 -7

Answers

The answer is the last one. The answer is 0-7

A. 12/29
B. 3/5
C. 2/3
D. 20/29​

Answers

Answer:

Where is the question? The Answer is 20/29

Step-by-step explanation:

Brainiest

Help!!!
A) Mode
B) Mean
C) Median

Answers

Answer:

Median

Step-by-step explanation:

Median will be misleading  are not asking for the midd;e price they are asking for the average price in this case you will use mean to find

PLEASE I NEED HELP URGENT I Will MARKE YOU BRAIN LIST​

Answers

Answer:

1. 0

2. a/ a + b

3. a + b/ a - b

I need help with this plzzzzzzz

Answers

Answer: -4

Step-by-step explanation: If you add all the numbers marked, -7 + -4 + -3 + 2 + 7 you will get -4.

What’s equivalent to 3/2

Answers

Answer:

Some fractions equivalent to 3/2 are...

6/4     9/6  12/8       15/10        18/12  21/14 24/16

27/18  30/20  33/22  36/24

Answer:

6/4 or 9/6

Step-by-step explanation:

which of the following is equal to (12x6)x5?

Answers

Answer:

360

Step-by-step explanation:

first do 12x6 and then do the answer of thst times 5

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