Two teams working together can finish a job in 8 days. if the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains. How many days will it take each team to finish the work alone?

Answers

Answer 1

x is the days that the first team finishes the work alone (x>8)

y --------------------------second-----------------------------------------(y>8)

In a day:

The first team finishes 1/x (the work) The second team finishes 1/y (the work) Two teams working together finish 1/8 (the work)

⇒          [tex]\frac{1}{x}+ \frac{1}{y} =\frac{1}{8}[/tex]               (1)

If the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains:

⇒          [tex]\frac{2}{x}+\frac{5}{y}=\frac{3}{8}[/tex]                (2)

(1),(2)   ⇒   [tex]\left \{ {{\frac{1}{x}+ \frac{1}{y} =\frac{1}{8}} \atop {\frac{2}{x}+\frac{5}{y}=\frac{3}{8}}} \right. <=>\left \{ {{x=16} \atop {y=24}} \right.[/tex]

It'll take the first team 16 days and the second team 24 days to finish the work alone

ok done. Thank to me :>


Related Questions


Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can
buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2
packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages
of folded paper for a total of $54. How much does each roll cost? How much does each
package of folded paper cost?

Answers

Answer:

Let x=rolls of paper,y=folded paper:

6x+2y=44

3x+9y=54

-------

6x+2y=44

6x+18y=108

16y=108-44=64

y=4

x=6

Thus, a roll of paper cost $6,folded paper was $4 each

Step-by-step explanation:

WILL MARK BRAINLIEST PLS HELP. Fill in the table by following the rules provided for each backpack.

Answers

Answer:

See complete answer

Step-by-step explanation:

Backpack 2 is 2x, 2y, so double each number:

(0,2) = (0, 4)

(8,2) = (16, 4)

(6,5) = (12, 10)

(2,5) = (4, 10)

(0,2) = (0,4)

Backpack 3 is x + 8, y - 2 so add 8 to x and subtract 2 from y:

(0,2) = (8, 0)

(8,2) = (16, 0)

(6,5) = (14, 3)

(2,5) = (10, 3)

(0,2) = (8, 0)

Backpack 4 is x, 2y, so keep the same x and multiply y * 2

(0,2) = (0, 4)

(8,2) = (8, 4)

(6,5) = (6, 10)

(2,5) = (2, 10)

(0,2) = (0,4)

Suppose it is now 4:00 PM. What time will it be in 245 hours? Label your answer AM or PM.

Answers

It will be 9 pm in 245 hours

Answer: 9:00 PM

Step-by-step explanation:

every 24 hours it will 4:00 PM again - so we do . . .  245 ÷ 24 = 10 days and 5 hours.  

so in 245 hours it will be 9PM

uhhh 6th grade work pls help

Answers

you just had to distribute it 25b-5z=5(5b-1z)
5b- 1z would be the answer to this question

What is the y-intercept of the line shown? (4 points)

a. 0

b. 1

c. 3

d. 3.5

Answers

C because the line crosses the y axis at 3

HELP
A construction company takes 1/8 hours to remove 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer in the simplest form.

Answers

Answer:

3 1/3 metric tons per hour

HELP PLEASE!

Which diagram represents a fraction equivalent to 40%? ​

Answers

Answer:

2/5. hope this helps.

Step-by-step explanation:

2/5 has a decimal of 0.4, and the percentage is 40%.

the answer is 2/4 pick that and you’ll get it right

What number is 10/16 of 96?

Answers

Answer:

46/69

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

12x12/12+12x3467 How knows the answer?

Answers

the answer is 41616
The answer is 41,628

Please help.
A circle with radius 3 centimeters is cut from a square piece of felt.The sides of the felt square are 8 centimeter long. How much felt is left over? use 3.14 for π. Show your work.

Answers

Answer:

Step-by-step explanation:

The answer is 3.1372829462891

Please help with these three questions! Thank you! (No links! No trolls! Will mark brainliest!)

Answers

Answer:

1. 4*10^7

2. 5.1*10^-7

3.9,842,000,000(9.842*10^9)

Answer:

im answering so you can give them brainliest!

Step-by-step explanation:

Help me please I dont get it

Answers

Answer:

x>10

Step-by-step explanation:

I hope it helps. Please let me know.

Answer:

2.5x > 25

Step-by-step explanation:

1. 10 + 2.5x > 35

2. 10 + 2.5x - 10 > 35 - 10 (Subtracting 10 from both sides)

3. 2.5x +10 - 10 > 35 - 10 (Group like terms)

4. 2.5x > 35 - 10 (Simplify the arithmetic)

5. 2.5x > 25

A phone company advertises a new plan in which the customer pays a fixed amount of $ 25 per month for unlimited calls in the country and $ 0.10 per minute for international calls . If a customer paid 120 dollars , how many international minutes did they use ?

Answers

Answer: The answer would be 950 international minutes. Only if assuming that this is in one month since the question doesn't give much detail.

Step-by-step explanation:

X would be used to represent the number of months.

25+0.10x=120

0.10x=95

950 international minutes used

Answer:

950

Step-by-step explanation:

An equation to model this scenario would be: y = 0.1x + 25

y would mean the amount of money paid depending on x, which is the number of minutes.

In this problem, we know the amount of money. So we know y is 120.

We can then put 120 into the equation to find x.

120 = 0.1x +25  

95 = 0.1x

x = 950

Therefore, x is 950.

Stella models a product with algebra tiles. Write a number sentence that best describes her model. Fill in the blanks.

Answers

Answer:

555 and 777

Step-by-step explanation:

Please help meeeeeeeee help help please

Answers

Answer:

27. My fiend solved the inequality correctly but graphed it incorrectly. The statement "x > 5" is correct but but since the symbol is "greater than" it should have been graphed with an open circle to the right rather than a closed circle to the right.

28. My friend is incorrect for both solving the inequality and graphing. The correct answer for solving the inequality would be "5 ≥ x ". And for graphing the correct answer would be closed circle to the right since the symbol is greater than.

Step-by-step explanation:

27. Solving the inequality

x - 7 > -2

+ 7 + 7

------- ------

0 5

answer: x > 5

Graphing the inequality

Since the symbol is greater than, it would be a open circle to the right because the the right of the number line is positives and the bigger numbers. It would be an open circle because unlike question 28 the symbol is just greater than, not greater than or equal to.

28. Solving the inequality

8 ≥ x + 3

-3 - 3

-------- --------

5 0

answer: 5 ≥ x

Graphing the inequality

Since the symbol is greater than than or equal to, it would be a closed circle to the right because the the right of the number line is positives and the bigger numbers. It would be an open circle because unlike question 27 the symbol is just greater than or equal to, not just greater than.

This might not be the right way to do it or the right answer for that matter, I am very new to solving and graphing inequalities so I just decided to give this one a shot.

Hope this helps ; )

Which number line best shows how to solve -4 - (-8)?

Screen Shot Below If U Need It!

Answers

Answer:

The answer is the 3rd option

Step-by-step explanation:

As -4 -(-8)

= -4 +8

= 4

Please mark. as brainliest

Answer:

B

Step-by-step explanation:

One lower arrow is going all the way to the Four.

While |-8| = 8.

So it has it pointing to the 8. This means that 8 - -4 = 12

Subtract . What is the difference in lowest terms?
One-half
Four-eighths
Three-fourths
Six-eighths

Answers

5/8 - 1/8

4/8

1/2

Hope this helps! :)

1/2

5/8-1/8=4/8, we know this because when subtracting fractions with the same denominator, you keep the denominators the same and subtract the numerators. 5-1=4. this gives you 4/8. now, we know 4 is half of 8, so this is equal to 1/2, but we also can divide both 4 and 8 by 4, giving us 1/2.

A phone company advertises a new plan in which the customer pays a fixed amount of $ 25 per month for unlimited calls in the country and $ 0.10 per minute for international calls . If a customer uses 100 international minutes , how much do they owe ?

Enter your answer in the correct monetary format. For example $20.00

Answers

Answer:

25+0.10(100)

$35.00

Answer :

$10.00

Step - by - step explanation :

First, you multiply the amount of minutes used and the cost per minute . . . what is 100 x 0.10 ? 10

Tyler’s brother earns $14 per hour. The shoe store offers him a raise of a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?

No links please just straight forward answers

Answers

Answer: 14.7$ an hour

Explanation: Multiply 14 x .05 to get .7 and then add .7 to 14 giving you the result of 14.7
Answer 14.7
Equation: 14/100 witch gives 0.14 multiply o.14 by 5 that gives 0.7 then add 0.7 to 14 witch gives $14.7/hour. (14/100=0.14•5=0.7+14)

do anyone know
-8(1+4x)+7x=-25-8x

Answers

Answer:

x = 1

Step-by-step explanation:

-8(1+4x)+7x=-25-8x (Given)

-8 + -32x + 7x = -25 - 8x (Distribute)\

-8 + -25x = -25 - 8x (Combine like terms)

-17x = -17 (Move variables(x) to the left and constants to the right)

x = 1 (Divide) (the answer is positive because when you divide a negative number by a negative number it turns positive)

X=1 Same explanation of the first Who answered the problem

The table shown reflects the change in total rainfall for the months of June, July, and August from last year to this year.

Which inequality statement correctly orders the amounts of change?
A. 1.4 > -1.25 > -1.02
B. -1.25 > -1.02 > 1.4
C. -1.02 < 1.4 < -1.25
D. -1.25 < -1.02 < 1.4

Answers

Answer:

it is c

Step-by-step explanation:

Answer:

aaaaa

Step-by-step explanation:

I need help with this question

Answers

Answer:

c

Step-by-step explanation:

Sa: 712ft^2

V: 1248ft^3

b. Surface area
c. Volume

Help me pls it won't let me unselect the one I clicked on

Answers

its the one u selected lol

What is the value of this expression
8 + 6x (10 - 4) +2

Answers

Answer:

[tex]8+6x(10-4)+2\\= 10 - 4\\= 6 + 2\\= 8 * (8 + 6x)\\ = 8 + 6x\\= 14x * 6\\= 84x\\[/tex]

Step-by-step explanation:

hope this helps.

I think the value of the expression is 84x

Miss Riley's class has 24 students. She has the students in groups. Each group can have no more than 5 students. if every student has to be in groups how many does she have left?

Answers

Answer:

if there can be no more than 5 students, then anything less than 5 students will suffice. However we don’t want any left over ones cause we don’t want that one kid sitting alone during lunch so we can simply put 4 into each group.

Step-by-step explanation:

Hope this helped :DDD

Answer:

6 groups, 4 students in each one

Step-by-step explanation:

The factors of 24 include 6 and 4

That means that you can break 24 into those numbers

You are able to put the students up into groups of 6, with 4 students in each

However, you cannot place the students into groups of 4 (with 6 students in each) because no more than 5 students are allowed in each group

question 2 please answer

Answers

C is the greatest function but I’m sort of I am wrong

Evaluate the expression when b=9 and c=4 . bc+12.3 =

Answers

48.3

9*4 = bc, equals 36
36+12.3, equals 48.3
48.3 because when two letters are next to each other and they are worth a number you multiply them for example 9(4)+12.3 so first you multiply 9 and 4 you should get 36 then you add 12.3 which will get you 48.3

PLZZZZZ HELP ME!!!! i dont get this!

Answers

the correct selling price is $29.97
23 x 1.11%
The right answer would be $29.97
Because you would multiply the value of the price times the percent .11 & add what you got 2.97$ to 27

Jean is x years old and jonathan is y years old how many years older is jean then jonathan. How old was jean 5 years ago

Answers

Answer:

x - y is the difference in the kids' ages

x - 5 represents Jean's age 5 years ago

Step-by-step explanation:

If Jean is older, write her age (x) before Jon's age (y):  x - y.  This is as far as we can go with the limited info you have shared.

Jean is x years old, so 5 years ago her age was x - 5.

may i please get help i beg you​

Answers

Answer:

Step-by-step explanation:

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