1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sidana [21]
3 years ago
7

Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels from Plant A and

2% of the panels from Plant B
were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 4%?



Number of panels produced by Plant B????

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

Number of panels produced by Plant B is 8,000.

Step-by-step explanation:

The number of panels produced by Plant A  = 16,000

The number of defective panels from A = 5%

Now, 5% of 16,000 = \frac{5}{100}  \times 16,000 = 800

So, out of  16,000 panels produced by pant A , 800 are defective. .. (1)

Let us assume number of panels produced by Plant B  = m

The number of defective panels from B = 2%

Now, 2% of m = \frac{2}{100}  \times m = 0.02 m

So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)

Now, total panels produced over all = Panels by A  + Panels by B

= 16,000 + m

The percentage of defected panels over all = 4%

Now, 4% of (16,000 + m) = \frac{4}{100}  \times (16,000+m)  = (0.04)(16,000 + m)

Also, the total number of defective panels = Defective from A  + Defective from B

⇒(0.04)(16,000 + m)  =  800 +   0.02 m   from (1) and (2)

or, 640 + 0.04 m = 800 + 0.02

or, 0.02 m = 160

⇒ m = 160 /0.02 = 8,000

or, m = 8,000

Hence, Number of panels produced by Plant B is 8,000.

You might be interested in
Write an equation of the line in slope-intercept form (-3,3) (0,-1)
Vesnalui [34]
Y= 4/3x -1 use y2-y1 over x2-x1

3 0
2 years ago
15. Find the length of x. Round to 1 decimal place.
BabaBlast [244]
15/x = 5/11

5x = 165

x = 33
6 0
3 years ago
A street lamp is 14 ft tall. On a sunny day, the street lamp casts a shadow 8 ft long. What is
saw5 [17]

Answer:

60.25≈60.3°

Step-by-step explanation:

tanФ=14/8=1.75

Ф=arctan=1.75

tan-1  

60.25≈60.3

8 0
3 years ago
Verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7​
harina [27]

Given:

a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}

To verify:

a(b-c)=ab-ac for the given values.

Solution:

We have,

a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}

We need to verify a(b-c)=ab-ac.

Taking left hand side, we get

a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)

a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)

Taking LCM, we get

a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)

a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)

a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)

a(b-c)=-\dfrac{68}{35}\right)

Taking right hand side, we get

ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}

ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}

ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}

Taking LCM, we get

ab-ac=\dfrac{-28-40}{35}

ab-ac=\dfrac{-68}{35}

Now,

LHS=RHS

Hence proved.

7 0
2 years ago
I need help with this question
Levart [38]

Answer:

-5.5

Step-by-step explanation:

You just need to subtract the two I'm pretty sure

8 0
3 years ago
Other questions:
  • What is the solution to the system x+ y =4 and 2x - y = -1
    8·1 answer
  • Round each number to the nearest whole number.  What is the best estimate for the answer to 276.37 – 67.81?   A. 209   B. 208.6
    13·2 answers
  • Answer this asap also show work c;;
    11·1 answer
  • John has a job parking cars. He earns a fixed weekly salary of $300 plus a fee of $5 for each car he parks. At what point does J
    12·1 answer
  • Determine whether the following examples of data are quantitative or qualitative. (a) The occupation of your neighbors. Answer:
    9·1 answer
  • X 7 4 5 3 2 10
    10·1 answer
  • You are in the pit crew for a driver at a Nascar race. The gas weighs 5.92 pounds
    9·1 answer
  • Please help me I beg u☹️
    13·2 answers
  • This figure shows how to create a six-pointed star from twelve equilateral triangle tiles:
    7·1 answer
  • Hi, I don’t understand this question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!