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Sveta_85 [38]
2 years ago
15

4 people can dig a hole in 3 hours. How long does it take 9 people.

Mathematics
2 answers:
maw [93]2 years ago
7 0

Answer:

9 people is 9/4 = 2.25 times more people than 4 people. So, they can do it faster. 3 hours/2.25 = 1.33 hours 1.33 hours x 60 minutes/hour = 80 minutes

Step-by-step explanation:

ad-work [718]2 years ago
6 0

Answer: 1 hour 20 minutes

<u>Step-by-step explanation:</u>

Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}

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harina [27]

Answer :

  • 4167 bricks.

Explanation :

Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.

Here,

{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}

\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}

\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}

Therefore,

{\qquad \dashrightarrow{ \bf{Volume \:  of  \: the  \: wall = length \times breadth \times height}}}

{\qquad \dashrightarrow{ \sf{Volume \:  of  \: the  \: wall = 1000 \times 24 \times 400 \:  {cm}^{3} }}}

Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.

So,

{\qquad \dashrightarrow{ \bf{Volume \:  of  \: each  \: brick = length \times breadth \times height}}}

{\qquad \dashrightarrow{ \sf{Volume \:  of  \: each  \: brick = 24 \times 12 \times 8 \:  {cm}^{3} }}}

So,

{\qquad \dashrightarrow{ \bf{Volume \:  of  \: bricks  \: required =  \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}

{\qquad \dashrightarrow{ \sf{Volume \:  of  \: bricks  \: required =  \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}

{\qquad \dashrightarrow{ \sf{Volume \:  of  \: bricks  \: required =   \bf \: 4166.6} }}

Therefore,

  • <u>The wall requires 4167 bricks. </u>

6 0
2 years ago
What is 12/25 divided by 4
vekshin1
\frac{ \frac{12}{25} }{4}  \\  \\  \frac{12}{25}* \frac{1}{4 }   \\  \\  \frac{12*1}{25*4}   \\  \\  \frac{12}{100}   \\  \\  \frac{3}{25}
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podryga [215]

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The total consumer spending(TCS) is achieved by finding the product of the price and the quantities at the equilibrium point.

Hence,
TCS = 5 * 6

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<h3>What is the producer surplus and consumer surplus at equilibrium?</h3>

A) The producer surplus is the area of the triangle shaded yellow in the attached image.

Recall that he area of triangle is:

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Graph II illustrates what would happen if a large number of guests entered the fair. It would result to a right-ward shift in the demand curve.

<h3>Does the consumer surplus increase, decrease, or stay the same as a result of the change from part F?</h3>

Yes, there is an increase in the consumer surplus. Now there are more consumers hence the total amount they are willing to pay as an aggregate sum has increased from what was.

Learn more about Equilibrium market conditions:
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