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

A pet store is having a pet fish sale. Lauren bought b balas and c catfish. Write an algebraic expression to represent the total cost of the fish. Use the chart to answer the question.

Answers

6b+4c=x
or
6(b)+4(c)=x

Help plz:

14. Factor the following:
e. q^2 - 7q + 12
f. r^2 + 13r + 12
g. x^2 - x - 20
h. y^2 + 5y + 6

Answers

Answer:

e. (q-3)(q-4)

f. (r+1)(r+12)

g. (x-5)(x+4)

h. (y+2)(y+3)

estimate the solution of the equation to the nearest whole number.

7.8 + n = 38.2

Answers

ANSWER: 30

EXPLANATION:
7.8+n=38.2
n=38.2 - 7.8
n=30.4
nearest whole no.=30

Answer: 30

Step-by-step explanation:

it's not homework but can someone tell me if this printer is only for photos or it's just a normal printer​

Answers

for photos im pretty sure

Answer:

It is a normal Printer

Step-by-step explanation:

I   Know it because I use it every 10 minutes!

select the correct expression.

Answers

Answer:

D

Step-by-step explanation:

All we need to know is that there are 2 PASTRIES, this makes it to where we can exclude any equation multiplying against two tea cups. Thus making D the only answer correct.

D

because she wants to buy 2 pastries and one costs $2.75, so you’ll need to multiply by two. the tea is not needing to be multiplied. this expression is a y = mx + b.

the diagrams for my last question I can'put the other one just lmk if these 2 r it​

Answers

Need to see the whole question if you want me to help you sry

I can't see the whole question. Can you plz make a whole question so I can answer it plz?

plz give me brainliest. I need a lot of those.

help meeeeeeeeee 5 buck plz

Answers

i hope this helps :)

HELPPPPPPPPPPP
GIVING BRAINLIEST

Answers

Answer:No

Step-by-step explanation:

Just look at it

The answer to the question is no.

A bag of marbles contains 35 blue marbles and 15 green marbles. Which of the following shows the decimal of the fraction of green marbles in the bag?

Answers

Answer:

15.35

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

We know the bag has 50 marbles total: (35+15=50)Now, put 15 over 50 to make it a fraction: (15/50)Finally, we figure that 15 divided by 50 equals 0.3.Thus, our answer is 0.3!

What is the name of the tide when the sun, moon, and earth are all aligned, causing the greatest pull for highest and lowest tides?

Question 10 options:

Low tide


Spring tide


High tide


Neap tide

Answers

Answer:

Whenever the earth, moon and sun are aligned, the gravitational pull of the moon is augmented by the gravitational pull of the sun, causing larger than average tidal ranges — meaning especially high high tides and very low low tides. These extreme tides are called “spring tides.”

Step-by-step explanation:

The answer to your question is Spring tides

write 28 x 32 in distributive property

Answers

Answer: I'm not sure if anyone else has answered but ~ The Answer is 4* 14

Hoped this helped i'm learning the same thing

Step-by-step explanation:

Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $10 each week. Sylvia decides to put in an additional 10% of the amount in the account each week.

Who has more money after the first additional deposit? Explain.

Who has more money after the second additional deposit? Explain.

Answers

Leroi’s account

$100
After first deposit = $100+$10=$110
After second deposit= $110 + $10 = $120


Sylvia’s account

$100
10% of $100 is $10
After first deposit = $100+ $10 = $110
10% of $110 = $11
After second deposit = $110 + $11 = $121

Therefore after their first deposit, both will have the same value in their accounts.
But after the second deposit, Sylvia will have 1$ more in her account than Leroi.

Answer:

ok just follow these steps

Step-by-step explanation: part over whole like this    part                       then            percent over 100% like this                                  percent

                                          -----------over                  ------------------

                                             whole                                 100%

Charlene is training for a marathon. She runs 5 kilometers per day for 5 days each week. If K stands for the total number of kilometers she runs and W stands for the number of weeks she trains, which equation can be used to find the number of kilometers she has run?

Question 17 options:

K = 25W


W = 25K


W = 5K


K = 5W

Answers

Answer:

W = 25K

Step-by-step explanation:

One week gets 25kilometers ( 5 km x 5 days =25 km for per week)

Answer:

Step-by-step explanation:

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

Answers

its the one u selected lol

Jose goes out to lunch. The bill, before tax and tip, was $10.45. A sales tax of 8% was added on. Jose tipped 17% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.

Answers

$13.20. ($10.75x1.08=11.29 $11.29x1.17=$13.20)

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 2/3 of an hour?

Answers

Answer:

26.87 miles

Step-by-step explanation:

Answer: 5 7/9

Step-by-step explanation:

What is 110% of 160?

The first person to answer gets Brainliest

Answers

Oh it’s just 160 all you do is 100×160÷100 and then you get 160

Answer:

176 Basically find whats 10% of 160 and then add that to 160 and there is your answer

A picture shows a roof of a house. It has a right triangle-shaped with the base of 12 feet as span and height of 4 feet as height of roof. The hypotenuse of the triangle is the slope of the roof.
The pitch of the roof is

Answers

Answer:

Step-by-step explanation:

Pythagorean Theorem:[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]12^{2} + 4^{2} = c^{2}[/tex]

144 + 16 = [tex]c^{2}[/tex]

160 = [tex]c^{2}[/tex]

Square root 160

12.6491106 = c

Round to the nearest whole number

13=c

Find the total cost with sale tax.
Holly has $15 to buy a gift for her brother. She found a stuffed animal that cost $12.50. With 10.1% sales tax added on, what is the sale tax? What is the total cost of the stuffed animal with tax included? Will holly have enough money to buy the gift?

Answers

the total cost is 13.76, she has enough money. (accidentally posted the answer in the comments so ignore that)
13.76 is the answer

find the area of these shapes:

Answers

Answer:

4. 25.12 cm²

5. 28.56 cm² (square = 16 cm²) (semi-circle = 12.56 cm²)

Step-by-step explanation:

4. pi*4^2= 50.265
50.265/2=25.133

5. 4^2=16
pi*2^2=12.566
12.566/2=6.283
16+6.283=22.283

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:

32) 48,504 ÷ 16
33) Is the sum of 15,398 + 7,292 even or odd? Why?
34) Is the product of 312,234 x 8,987 even or odd? Why?

I need all of these answers by today!!

Answers

Answer:

48,504 ÷ 16 = 3031.5

Even because the answer is 22690, which is an even number (All numbers ending in 0 are even)

Even because the answer is 2806046958, which is even (All numbers ending in 8, including 8 itself, are even)

32) is 3031.5 33) even 34) even

PLS HELP ME!!!!! URGENT!

Answers

Answer:

it's the very first anwer

Step-by-step explanation:

all you had to do was subtract the bottom exponents from the top, maintaining the sane base numbers

[tex] \frac{4 {}^{33 } \times {8}^{37} }{4 {}^{15 \times } 8 {}^{21} } \\ we \: know \: that \\ {a}^{m} \div {a}^{n} = (a) {}^{m - n} \\ \: = (4) {}^{33 - 15} \times (8) {}^{37 - 21} \\ = (4) {}^{18} \times (8) {}^{16} [/tex]

option (1) is correct answer

do anyone know
x+2=-14-x

Answers

Answer:

x=-8

Step-by-step explanation:

Answer:

x = - 8

Step-by-step explanation:

x + 2 = - 14 - x

x + x = - 14 - 2

2x = - 16

x = - 16/2

PLZ HELP AS SOON AS POSSIBLE!!!!!!!!! WILL GIVE LIKE, 5 STARS, & BRAINLIEST; THE WHOLE SHEBANG; (Worth 20 Points!)
Krystine has a weekend job advertising an upcoming play. She has two options for being paid. Option A is an hourly wage of ​$7.00. Option B is a 5​% commission on all money made at the play. She plans to work 8 hours each day on Saturday and Sunday. Krystine estimates the play will make about ​$2,100 this weekend. Which option gives Krystine more earnings this​ weekend?

Part 1
Choose the correct answer below.
A.Option B gives Krystine more earnings this weekend.
B.Option A gives Krystine more earnings this weekend.
C.Both options give Krystine the same amount of earnings

Answers

Answer:

option A she will make 112. option B 105. so she will make more money on option A

Answer:

Answer A

Step-by-step explanation:

The quotient of two numbers is negative. What must be true about the two numbers?
The dividend is negative.
The divisor is negative.
Either the dividend or the divisor is negative, but not both.
Both the divisor and the dividend are negative.

Answers

Answer:

either the dividend or the divisor is negative but not both

Step-by-step explanation:

either the dividend or the divisor is negative but not both

The three oldest children need shoes. You find a store that has shoes on sale. All shoes in the store are marked $10 per pair. You have a choice of “Three for the price of two” or “Buy one and get 25% off the second.” Which of these is the best deal? Explain your reasoning.

Answers

Answer:

3 for the price of 2

Step-by-step explanation:

I had this question

Okay, they all equal 30 bucks. The first one would change into 20 bucks and the other would be Take off 10 by 30, 20,   20 with 25% off is 15. Then 15 + 10 is 25.

First one = 20.

Second one = 25.

Three for the price of two is cheaper.

Write the phrase as an expression. Then evaluate the expression when $y=20.

3 less than the quotient of a number y and 4

Answers

y/4-3 y=20 the answer is 2

Answer:

20/4 -3, which equals 5-3, or 2

Step-by-step explanation:

3 less than= -3

the quotient of a number y and 4, with y being 20= 20/4

Divide: 20/4 = 5

combine the terms, either 5-3 or -3 +5, you'll end up with 2 either way

Write the standard form of the number shown.

two hundred thirty million, three hundred forty-four thousand, nine hundred ninety-six

Answers

Answer:

230,344,996 is my answer. Hope this could help you!

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
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