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umka21 [38]
2 years ago
5

6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?

Mathematics
1 answer:
viktelen [127]2 years ago
4 0

The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.

<h3>How to use inverse proportionality to determine building time of a wall</h3>

In this question we must use the definition of <em>inverse</em> proportionality, in which the number of workers (n), no unit, is inversely proportional to the <em>building</em> time (t), in days.

According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:

x = 24\,days \times  \frac{6}{9}

x = 16\,days

In this scenario, the wall can be built in 22 days. \blacksquare

To learn more on inverse proportionality, we kindly invite to check this verified question: brainly.com/question/4838941

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What is the number sentence for "1 less than N is the sum of Z and<br> 2"?
s344n2d4d5 [400]

          \rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

        <em>What is the number sentence for "1 less than n is the sum of z and 2?"</em>

<em> </em>

<em>          </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     \Large\textit{n-1}

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

     2:-

                                       \Large\textit{z+2}

❖ Now, Combine these two little expressions into one equation:-

\implies\sf{n-1=z+2}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

6 0
1 year ago
Which ordered pairs are in the solution set of the system of linear inequalities? y &gt; x y &lt; x + 1 (5, –2), (3, 1), (–4, 2)
steposvetlana [31]

To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

plug into y>x

-2>5

which is clearly false.

plug into y<x+1

-2<5+1

or -2<6

which is also false.

hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

Hence answer will be "No Solution from given choices".

5 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2
alex41 [277]

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

7 0
3 years ago
In London today, four times the high temperature was more than twice the high temperature plus
4vir4ik [10]

Answer:

Let's define the high temperature as T.

We know that:

"four times T, was more than 2*T plus 66°C"

(i assume that the temperature is in °C)

We can write this inequality as:

4*T > 2*T + 66°C

Now we just need to solve this for T.

subtracting 2*T in both sides, we get:

4*T - 2*T > 2*T + 66°C - 2*T

2*T > 66°C

Now we can divide both sides by 2:

2*T/2 > 66°C/2

T > 33°C

So T was larger than 33°C

Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.

Then the range of possible temperatures is:

(33°C, ...)

Where we do not have an upper limit, so we could write this as:

(33°C, ∞°C)

(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)

4 0
2 years ago
Drove that<br>sinA+ sin5=2 sin A +5/2 COSA -5/2​
const2013 [10]
Put it in a more simplified form
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2 years ago
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