Ask question

Ask question

All categories

2 years ago

12

The navy contract was for 2,314 devices and took 23 workers two weeks (40 hours per week) to complete. The army contract was for

4,707 devices that were produced by 16 workers in three weeks. What's the productivity of the army contract for the input of labor hours

1 answer:

AlekseyPX2 years ago

3 0

Answer:

0.408 hour / device

Step-by-step explanation:

As we know The army contract was for 4,707 devices that were produced by 16 workers which means 1 worker can produce: $\frac{4707}{16}$ ≈294 devices in 3 weeks.

<=> 294 devices= 3*40 hours

<=> 294 devices = 120 hours

<=> 1 device = 120/294 = 20/49 ≈ 0.408 hour

So it takes 0.408 hour for a worker to finish producing 1 devicein the army contract

You might be interested in

What are the zeros of the function f(x)=-x^2+13x-36

Galina-37 [17]

For this case we have the following function:

$f (x) = - x ^ 2 + 13x-36$

To find the zeros of the function we make $y = 0$ and solve for "x", then:

$0 = -x ^ 2 + 13x-36$

We multiply by -1 on both sides of the equation:

$0 = x ^ 2-13x + 36$

We factor the equation, for this we look for two numbers that, when multiplied, result in 36 and when added, result in -13. These numbers are -9 and -4.

$(-9) * (- 4) = 36\\-9-4 = -13$

Thus, the factored equation is:

$(x-9) (x-4) = 0$

Therefore, the roots are:

$x_ {1} = 9\\x_ {2} = 4$

Answer:

$x_ {1} = 9\\x_ {2} = 4$

6 0

3 years ago

Any 10th grader solve it <br>for 50 points

kkurt [141]

Answer:

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)\neq 0$ is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.

Step-by-step explanation:

Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.

First term of given arithmetic progression is A

and common difference is D

ie., $a_{1}=A$ and common difference=D

The nth term can be written as

$a_{n}=A+(n-1)D$

pth term of given arithmetic progression is a

$a_{p}=A+(p-1)D=a$

qth term of given arithmetic progression is b

$a_{q}=A+(q-1)D=b$ and

rth term of given arithmetic progression is c

$a_{r}=A+(r-1)D=c$

We have to prove that

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)=0$

Now to prove LHS=RHS

Now take LHS

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)$

$=\frac{A+(p-1)D}{p}\times (q-r)+\frac{A+(q-1)D}{q}\times (r-p)+\frac{A+(r-1)D}{r}\times (p-q)$

$=\frac{A+pD-D}{p}\times (q-r)+\frac{A+qD-D}{q}\times (r-p)+\frac{A+rD-D}{r}\times (p-q)$

$=\frac{Aq+pqD-Dq-Ar-prD+rD}{p}+\frac{Ar+rqD-Dr-Ap-pqD+pD}{q}+\frac{Ap+prD-Dp-Aq-qrD+qD}{r}$

$=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}$

$=\frac{Arq^{2}+pq^{2} rD-Dq^{2} r-Aqr^{2}-pqr^{2} D+qr^{2} D+Apr^{2}+pr^{2} qD-pDr^{2} -Ap^{2}r-p^{2} rqD+p^{2} rD+Ap^{2} q+p^{2} qrD-Dp^{2} q-Aq^{2} p-q^{2} prD+q^{2}pD}{pqr}$

$=\frac{Arq^{2}-Dq^{2}r-Aqr^{2}+qr^{2}D+Apr^{2}-pDr^{2}-Ap^{2}r+p^{2}rD+Ap^{2}q-Dp^{2}q-Aq^{2}p+q^{2}pD}{pqr}$

$=\frac{Arq^{2}-Dq^{2}r-Aqr^{2}+qr^{2}D+Apr^{2} -pDr^{2}-Ap^{2}r+p^{2}rD+Ap^{2}q-Dp^{2}q-Aq^{2}p+q^{2}pD}{pqr}$

$\neq 0$

ie., $RHS\neq 0$

Therefore $LHS\neq RHS$

ie., $\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)\neq 0$

Hence proved

5 0

2 years ago

Calculate the annual return percentage

const2013 [10]

The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0

3 years ago

Original amount: 27<br> End amount: 38.61<br><br> Increase or decrease

vichka [17]

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

5 0

3 years ago

a form of reasoning called _ is the process of forming general ideas and rules based on your experiences and observation

Slav-nsk [51]

Answer:

what the question that your asking

6 0

3 years ago