Mathematics College

10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days​

Answers

Answer 1

Answer:

C. 16 days

Step-by-step explanation:

Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.

If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.

2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.

4 more workers join to complete the job, so we now do 12 work each day.

150 - 54 = 96

96 work is left to do, which would be done in 8 days by 12 workers.

8 days + 8 days = 16 days

Related Questions

Solve this system using the substitution method: 2a-4b=9; 2b-4a=-3

Answers

Answer:

1 ) 1,4.5 2)1,-5/4

Step-by-step explanation:

we have to solve both by :

let a be (1) in first case

now solve like this 2(1)-4b=9

The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.

Answers

Answer:

52.5

Step-by-step explanation:

2.5 x 21 = 52.5

Find the domain of y = log(2 - 4x).

Answers

Answer:

x<1/2

Step-by-step explanation:

Estimate the sum using rounding numbers 67.07+4.86

Answers

Answer:

I estimated the answer would be 72 (actual answer: 71.93)

Step-by-step explanation:

67.07 rounded to the nearest whole number is 67

4.86 rounded to the nearest whole number is 5

67 + 5 = 72

hope this helped!

A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?

Answers

Answer:

you can feel a stem

Step-by-step explanation:

im sorry i dont know

0.51 x 40 = (0.5 + 0.01) x 40 =

Answers

Answer:

hello! :) have a good day!

20.4

Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.

Answers

Answer:

Step-by-step explanation:

Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!

dinner out at nice restaurant cost $45 plus a 20% tip what was the total cost of dinner ​

Answers

Answer:

$54 because the tip would be $9 so just add 45 and 9

Answer:

$54

Step-by-step explanation:

Since we are adding a 20% tip to the original cost of 45, the equation is

45+(0.2)(45),

since we want to add 20% of 45 to the original 45.

Solving that gives us 54.

What is a in the parallelogram

Answers

A parallelogram is a shape with opposite sides that are parallel and equal in length.

Select the statement that correctly describes the solution to this system of equations.

X+3y=5
Y=4x-7


A. There is no solution
B. There are infinitely many solutions.
C. There is exactly one solution at (2,1).
D. There is exactly one solution at (4,2).


Which 1?

Answers

x+3(4x-7)=5
x+12x-21=5
13x-21=5
13x=26
x=2

y=4x-7
y=4(2)-7
y=8-7
y=1

ANSWER: C. solution at (2,1)

Answer:

C

Step-by-step explanation:

if you substitute in for x and y it works

hello hello I need help asap ​

Answers

13/4 and 3 1/4
Hope this helps

Answer:

im not smart

Step-by-step explanation:

Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)

Answers

16 divided by 6 will give you the average

2.66666 rounded to 2.67 or 2.7

The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201

Answers

Step-by-step explanation:

something is missing. maybe mean, median

help 8th grade adv math

Answers

Answer:

6, -6

Step-by-step explanation:

The 2nd roots of 36 are 6 and -6 since

6^2 = 36

and

(-6)^2 = 36

Find the vertex of this quadratic

Answers

Answer:

The vertex is (2,0)

Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.

Answers

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

find the 8th term of the geometric sequence 3,9,27

Answers

Answer:

6,561

Step-by-step explanation:

multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time

Divide 12x^3+15x by 3

Answers

3x times(4x^2+15) I’m pretty sure

Answer:

Try 5x + 36xn

Step-by-step explanation:

7283
+3124
----------​

Answers

Answer:

10407

Step-by-step explanation:

−2.2⋅(−2)÷(−
4
1
​
)⋅5

Answers

Step-by-step explanation:

la respuesta no es correcta porque es falsa

help me solve this please

Answers

Answer:

the answer is 0.7692

Step-by-step explanation:

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

True and false
Urgent!!! Please help man!

Answers

Answer:

True

Step-by-step explanation:

Because I did this.

True because I did this

whose
The boy ..... dog was hit by a car has not been to school for 3 days,​

Answers

Step-by-step explanation:

huh what you are trying to say


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y=-26x

Step-by-step explanation:

The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?

A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7

Answers

D..............I think am sorry if am wrong

Answer:

The correct answer is B. 2,2,5,7

Step-by-step explanation:

To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140

Please help with this math question

Answers


Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.

A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.

What Reasoning could you use to prove the two triangles shown below are congruent?

AAS
SAS
ASA

SSS

Answers

I KNOW ITS SAS....................

you need to use SAS

Step-by-step explanation:

so first you write PQ=QR

PQS=SQR

PS=SR

Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.

Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?

Answers

Answer:

a) 0.0835 = 8.35% of students at the university are statistics majors

b) 0.8623 = 86.23% are at the Main campus

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for item b.

a. What proportion of students at the university are statistics majors?

12% of 60%(At the main campus).

4% of 25%(Downtown campus).

The rest is 100 - 60 + 25) = 15%.

1% of 15%(Bay Area Campus). Si

[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]

0.0835 = 8.35% of students at the university are statistics majors.

b. Of all statistics majors at the university, what proportion are at the Main campus?

Using conditional probability to find the percentage.

Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]

Event B: Main Campus

Intersection of A and B:

12% of 60%. So

[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]

Percentage:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]

0.8623 = 86.23% are at the Main campus

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