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Taya2010 [7]
3 years ago
14

30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily

?
Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
PLS HELP BRAINLIEST
laiz [17]

Answer:

a) AB = 17 m

b) AC = 20.8 m

Step-by-step explanation:

Pythagorean theorem

a^2 + b^2 = c^2

a)

AB^2 = (26-11)^2 + 8^2

AB^2 = 15^2 + 8^2

AB^2 =  225 + 64

AB^2 = 289

AB = 17 m

b)

AC^2 = AB^2 + BC^2

AC^2 = 17^2 + 12^2

AC^2 =289 + 144

AC^2 = 433

AC = 20.8 m

7 0
3 years ago
A video game store has an 30% sale on all video games . If the game you want cost $45.00 , what would the discount be ?
Zina [86]

Answer:

31.5

Step-by-step explanation:

.......

8 0
2 years ago
Ty in advance for whoever does this. Find the range and put it on the graph. thank you <3
ser-zykov [4K]

Answer:

Step-by-step explanation:

y_{1} = - 4 - 2( - 3) = 2

y_{2} = - 4 - 2( - 2) = 0

y_{3} = - 4 - 2( - 1) = - 2

y_{4} = - 4 - 2( 0 ) = - 4

y_{5} = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

8 0
3 years ago
A yearbook company was investigating whether there is a significant difference between two states in the percents of high school
Keith_Richards [23]

Answer: D. two-sample z-test for a difference in population proportions

Step-by-step explanation:

The options for the given questions were missing. The options are as follows:

A one-sample z-test for a sample proportion

B one-sample z-test for a population proportion

A

C two-sample z-test for a difference in sample proportions

D two-sample z-test for a difference in population proportions

Solution:

Sample proportions are used to estimate population proportions.

We are given the sample proportion of students from one state who ordered a yearbook = 70/150

We are also given the sample proportion of students from the other state who ordered a yearbook = 65/100

Since there are 2 samples and we want to investigate if there is a difference between 2 population of students,

Therefore, the most appropriate method for analyzing the results is

D. two-sample z-test for a difference in population proportions

8 0
3 years ago
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