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julia-pushkina [17]
2 years ago
10

The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain projec

t in 24 days. How many workers will be needed to complete the project in 15 days?
Mathematics
1 answer:
Feliz [49]2 years ago
6 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.

  (5 workers) × (8/5) = 8 workers

8 workers are needed to complete the project in 15 days.

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Three numbers are in the ratio 2 : 3 : 4 and their sum is 54. If 'x' is the common factor, then the value of 'x' is ________.
Neporo4naja [7]

Answer:

<h3><u>Given</u> </h3>
  • ↦ Three numbers are in the ratio 2 : 3 : 4
  • ↦ The sum of number is 54.
  • ↦ 'x' is the common factor

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>To</u><u> Find</u> </h3>
  • ↦ Value of 'x'

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Solution</u> </h3>

Let the numbers,

  • ↦ 2x
  • ↦ 3x
  • ↦ 4x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question,

: \implies\sf{2x + 3x + 4x = 54}

: \implies\sf{9x = 54}

: \implies\sf{x =  \dfrac{54}{9} }

: \implies\sf {x =  \cancel\dfrac{54}{9}}

: \implies\sf{x = 6}

{\dag{\underline{\boxed{\sf{\purple{x = 6}}}}}}

<u>Hence, The value of x is 6.</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Thus numbers are,

  • ↦ 2 × 6 = 12
  • ↦ 3 × 6 = 18
  • ↦ 4 × 6 = 24

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Verification</u> </h3>

: \implies\sf{2x + 3x + 4x = 54}

  • Substituting the numbers

: \implies\sf{ 12+ 18 + 24 = 54}

: \implies\sf{54= 54}

{\dag{\underline{\boxed{\sf{\purple{LHS=RHS }}}}}}

Hence Proved!!

3 0
3 years ago
Read 2 more answers
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
KonstantinChe [14]

Answer: C. 45 minutes before 7:00

Hope this helps! :)

Brainliest please.

3 0
2 years ago
5.Solve the quadratic equation.
Dafna1 [17]

Answer:

x=5 twice

Step-by-step explanation:

x^2-10x+25=0

multiply the coefficient of x^2 and the last term

1X25=25

find two numbers you can multiply to get 25 and add to get -10

-5 + (-5)=-10 the middle term

replace -10x with -5x -5x and solve the equation

x^2-5x-5x+25=0

factorise by grouping

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

Either x-5=0,x=5 or x-5=0,x=5

Therefore x=5 twice.

5 0
3 years ago
What is -20 and 3/4 as a decimal.
REY [17]

Answer:

20.75

Explanation:

20+3/4

= 20.75

= 2075

6 0
3 years ago
Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below
Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated (6.34\times 10^{-7})(4.5\times 10^3).  His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - (6.34\times 10^{-7})(4.5\times 10^3)

Step 2 - (6.34\times 4.5)(10^{-7}\times 10^3)

Step 3 - (28.53)(10^{-4})

Step 4 - 28.53\times 10^{4}

Error is the step as 4 sign is negative.

So correct step is 28.53\times 10^{-4}

Step 5 - 28.53\times 10^{3}

Error is the step as there is 4 in place of 3.

So correct step is 28.53\times 10^{-4}

The step 4 and 5 describe the errors Stephen made.

7 0
3 years ago
Read 2 more answers
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