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pychu [463]
3 years ago
10

Five men working six hours a day take eight days to fill a trench. How long does it take 3 men working eight hours a day to fill

the same trench.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

The correct answer is 10 days.

Step-by-step explanation:

To fill a trench, 5 men work for 6 hours a day for eight days.

Total work hours required is given by 5 × 6 × 8 = 240 hours.

The same work is supposed to be done by 3 men working 8 hours a day.

Let these three men need to work for x days.

Therefore total work hour these group of three men gave = 3 × 8 × x = 24x hours

Therefore the work hour of both the group of 5 men and 3 men should be equal.

⇒ 24x = 240

⇒ x = 10

Therefore the group of 3 men have to work for 10 days to fill the trench.

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Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
lana [24]

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Where,

P(-2, 5) = (x_1, y_1) (the coordinate of P is gotten from the graph)

S(9, 5) = (x_2, y_2) (given)

PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}

PS = \sqrt{(11)^2 + (0)^2}

PS = \sqrt{121} = 11 units

3 0
4 years ago
Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of
bazaltina [42]

Answer:  Medication in Lexi's system on day t becomes,

L=10.625(\frac{1}{2})^{t-4}

Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}

According to question, four days later, it becomes,

S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg

We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

10+0.625\\\\10.625\ mg

Hence, Medication in Lexi's system on day t becomes,

L=10.625(\frac{1}{2})^{t-4}

3 0
3 years ago
Read 2 more answers
For which equations are in the solution for x the same number? 15 – х = -3<br> 3
Norma-Jean [14]

Answer:

Step-by-step explanation:

First equation:

          15 - x = - 3

           -x = - 3 - 15

          -x  =  -18  (now negative signs on b.s cut eachother)

            [x  =  18]

Second equation :

         15 - x = 3

          -x = 3 - 15

          - x = -12 ( now negative sign on b.s cut eachother)

            [x = 12]

so x = 18 and x = 12 are not same

6 0
3 years ago
Jeremy gives his horse 12 gallons of water each day how many one quart pailsof water is that
Gre4nikov [31]
Its 48
hope i helped you
8 0
3 years ago
Read 2 more answers
Use the quadratic function to predict y if x equals 7. Y=2x^2 -3x +3
nordsb [41]
To evaluate the value of y if x=7, given that function is such that y=2x^2-3x+3, we shall have:
f(7)=2(7)^2-3(7)+3
f(7)=2(49)-3(7)+3
f(7)=98-21+3
f(7)=80
Hence we conclude that when x=7, y=80

7 0
3 years ago
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