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Dominik [7]
3 years ago
12

Suppose that 5 workers can complete a certain task in 9 days. If there are 15 workers, how many days would

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer:

3 days would take the 15 workers to finish the same task

Step-by-step explanation:

  • In the questions of doing a job, the number of workers and the time are in an inverse proportional because if the number of workers is increased, then the time of finishing the job will decrease and vice versa
  • The relation between the number of workers and the time to finish any job is N × T = K, where, N is the number of workers, T is the time to finish the job, and K is constant

Let us use this relation to solve the question

∵ 5 workers can complete a certain task in 9 days

∴ N = 5 workers and T = 9 days

→ By using the relation above

∴ 5 × 9 = k ⇒ (1)

∵ If there are 15 workers will make the same task

∵ They can finish it in x days

∴ N = 15 workers and T = x days

→ By using the relation above

∴ 15 × x = k ⇒ (2)

∵ k is the same task, then equate the left sides of (1) and (2)

∴ 15 × x = 5 × 9

∴ 15x = 45

→ Divide both sides by 15 to find x

∴ x = 3 days

∴ 3 days would take the 15 workers to finish the same task

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

4 0
3 years ago
Which expression is equivalent to -9a-10-6a+7−9a−10−6a+7
Gwar [14]

Answer:

−30a−6

Step-by-step explanation:

Let's simplify step-by-step.

−9a−10−6a+7−9a−10−6a+7

=−9a+−10+−6a+7+−9a+−10+−6a+7

Combine Like Terms:

=−9a+−10+−6a+7+−9a+−10+−6a+7

=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)

=−30a+−6

BRAINLIEST. if you don't mind.

6 0
2 years ago
Please help If you know the answer!!
prisoha [69]

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

4 0
3 years ago
Given the piece wise function show below, select all that are true​
NeTakaya

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        x^{2}, x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = x^{2}

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

7 0
3 years ago
64÷54 is the number of.... whar
ankoles [38]
Your answer is 1.18518519
8 0
3 years ago
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