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Artemon [7]
3 years ago
9

On monday it took 5 builders to 3 1/2 hours to build a wall

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took 3\dfrac{1}{2} hours  ( i.e. \dfrac{7}{2} hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : x_1y_1=x_2y_2

Let x be the time taken by 2 builders, then

2\times x =5\times \dfrac{7}{2}

\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

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Find the slope for (3,0) and (4,1)
Delvig [45]

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

8 0
2 years ago
A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
Tema [17]

Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

 

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

 

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

 

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

 

We divide pi from both sides (radius) = 1.208

 

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

 

1.208 * 2 = 2.416 or 2.42 rounded up

 

Final answer = 2.42 feet

7 0
3 years ago
Read 2 more answers
Bill can hit a bucket of 323 gold balls in 17 hours.
yanalaym [24]
It is important to clearly understand all the important information's already given in the question. Based on those details the answer to the question can be easily determined.
In 17 hours the number of golf balls hit by Bill = 323
Then
In 1 hour the number of golf balls hit by Bill = (323/17) * 1
                                                                     = 19
So
The number of golf balls hit by Bill in 23 hours = 23 * 19
                                                                          = 437
So 437 balls will be hit by Bill in 23 hours. I hope the procedure is clear enough for you to understand. This procedure will help you to solve similar problems in future without requiring any outside help.
5 0
3 years ago
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Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than
Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0
2 years ago
4/5x = 3<br> please solve for x
san4es73 [151]

Answer:

x=15/4 or x=3.75

Step-by-step explanation:

4/5*x=3

4/5=0.8

0.8*3.75=3

3 0
3 years ago
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