Two factory plants are making TV panels. Yesterday, Plant A produced 10,000 panels. Three percent of the panels from Plant A and 10% 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 5%

Answers

Answer 1

If the overall percentage of the defective panels from the two plants is 5% then plant B produced 4000 panels in total.

This question can be solved by formulating the problem into the form of a linear equation having two variables. Linear equation in two variables can be represented in the form of ax+by+c=0 where a, b and c are real numbers and x, y are variables or the coefficients, and a, b ≠ 0.

Let the production from plant A be x, and according to the question x=10000.

Also, let the production from plant B be y.

Now, as 3% of products are found defective from plant A and 10% of products are found defective from plant B and overall defective products is 5%.

Thus, 0.03x+0.1y=0.05(x+y)

As x=10000 then

0.03×10000+0.1y=0.05(10000+y)

300+0.1y=500+0.05y

0.05y=200

=>y=4000

Thus, the total number of panels produced by plant B is equal to 4000.

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Related Questions

How many chicks will hatch from 4,500 eggs if on average 87 chicks hatch from 100 eggs?​

Answers

Answer:

33915

Step-by-step explanation:

87% is the average, so you have to find 87% of 4500.

Write an algebraic expression that represents the following situation: An Uber driver earn $15 per hour driving per day, but also spends $20 a day on gas. Let h represent the number of hours driven in a day. Write an expression for the amount of profit an Uber driver earns in one day.

Answers

Answer:

h * $15 - $20

Step-by-step explanation:

h - number of hours per day

$15 - earnings per hour

$20 cost per day

h * $15 - gross earnings per day

h * $15 - $20 - net earnings per day

Did Cameron beat his best golf score

Answers

Answer: i do not know

Step-by-step explanation:

cause i do not know

Question 3 of 10
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
A. 10
B. 12
C. 4
D. 15
E. 7
F. 2
SUBIT

Answers

Given that:A triangle has two sides of lengths 6 and 9.To find:The value of the third side from the given options.Solution:

The third side of the triangle have to greater than the difference of the two provided sides.

A triangle is polygon with 3 edges and 3 vertices.

x > (9-6) so x > 3x < (9+6) so x < 15

So possible answers could be:

A. 10B. 12C. 4E. 7

A party rental company has chairs and tables for rent. The total cost to rent 9 chairs and 7 tables is $86. The total cost to rent 3 chairs and 5 tables is $52. What is the cost to rent each chair and each table

Answers

Answer: ok here is ur answer The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

-9c-15t=-156

3. Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

4. You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

5. Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

3c=8.25

8. Divide both sides by 3 to get your c value:

c=2.75

Step-by-step explanation: i really hope this helps pls lmk if i am wrong (:

Jade is stranded downtown with only $10 to get home. Taxis cost $0.75 per mile, but there is an additional $2.35 "hire" charge. Write a formula and use it to calculate how many miles Jade can travel with her money.

Answers

10=0.75x + 2.35

She starts with 10 dollars and when she get a taxi they will charge 0.75 per mile (x) and this will add a 2.35 fee at the end

If we solve for x formula ends as:
X=(10-2.35)/0.75

The kinetic energy T units of a moting body (of constant mass) varies as the square of its speed vm/s. If T = 800 units when v= 20m/s: Calculate V when T= 1800.​

Answers

The kinetic energy T units of a motion body (of constant mass) varies as the square of its speed v m/s. If kinetic energy T = 800 units when speed v= 20m/s: Calculate V when T= 1800.​

If T=1800 then V=30m/s.

kinetic energy is nothing but The energy an object has as a result of motion is known as kinetic energy.

Given that,

If T = 800 units when v= 20m/s

Kinetic energy formula is

[tex]T=\frac{1}{2}mv^{2}[/tex]

Here, T is kinetic energy , m is mass and v is speed

Now,

[tex]800=\frac{1}{2}m(20)^{2} \\800\times2=m(400)\\\frac{1600}{400}=m\\ m=4[/tex]

We got mass m as 4

Now, when T= 1800 find v=?

[tex]1800=\frac{1}{2}\times4\times v^{2} \\1800\times2= v^{2} \\ v^{2} =900\\v=30[/tex]

Therefore, we got speed v=30m/s when the kinetic energy T=1800.

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Amanda is framing her pool for resurfacing. The pool began with 14,340 gallons of water and it is draining at a rate of 880 gallons per hour. How long has the pool been draining if currently there are 8,840 gallons in the pool.

Answers

The number of hours that the the pool been draining if currently there are 8,840 gallons in the pool is 6.25 hours.

How to calculate the time?

Let the time taken be represented by h.

Therefore, the appropriate expression will be:

14340 - 880h= 8840

Collect like terms

880h = 14340 - 8840

880h = 5500

h = 5500/880

h = 6.25 hours

The number of hours is 6.25 hours.

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Evaluate this 5 2/3 + 11/12 =
pls tell me the answer ASAP

Answers

Answer:

6[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Another way to write 5 2/3 is to change this into an improper fractions.  Another names for 1 is 3/3.  I am going to add 5, 3/3 to 2/3

3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 2/3 = 17/3

We want to add this to 11/12, but to do that we need a common denominator.  I need to make an equivalent fraction of 17/3 where 12 is the denominator

[tex]\frac{17}{3}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{68}{12}[/tex]  Now we can add the two fractions together.

[tex]\frac{68}{12}[/tex] + [tex]\frac{11}{12}[/tex] = [tex]\frac{79}{12}[/tex] = 6[tex]\frac{3}{4}[/tex]

Eli runs a distance of 3 miles in 2/5 of an hour. Jess runs a distance of 4/5 mile in 1/10 of an hour. Who had the faster speed? show your work.

Answers

Jess had the faster speed than Eli.

We have the relation connecting Distance travelled, Time taken to travel and the speed given by,

Distance Travelled = Speed x Time taken

Here, we need to find the speed of Eli and Jess to find out who was faster.

So we use the formula, Speed = Distance travelled / Time taken

Distance travelled by Eli = 3 miles

Time taken by Eli = 2/5 hour

Speed of Eli = Distance / Time taken

                    = 3/(2/5)

                    = 15/2 = 7.5 miles per hour

Distance travelled by Jess = 4/5 mile

Time taken by Jess = 1/10 hour

Speed of Jess = Distance / Time taken

                        = (4/5)/(1/10)

                        = 8 miles per hour

Comparing the speeds of Eli and Jess, Jess had the faster speed of 8 miles per hour.

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After the point Y (-4, -9) is translated along the vector <-6, 2>, the image will be located at point

Answers

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

How to find the coordinates of the image of a given point

In this problem we have the coordinates of a original point and a translation vector, the coordinates of the image is obtained by using the following formula:

Y'(x, y) = Y(x, y) + T(x, y)

Where:

Y(x, y) - Coordinates of the original pointY'(x, y) - Coordinates of the resulting pointT(x, y) - Translation vector

To learn more on Y(x, y) = (- 4, - 9) and T(x, y) = (- 6, 2), then the coordinates of the resulting point are:

Y'(x, y) = (- 4, - 9) + (- 6, 2)

Y'(x, y) = (- 10, - 7)

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

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Helpp please I don’t understand :(

Answers

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Find the area of a parallelogram whose altitude is 17 inches and whose base is 12 inches.

Answers

Answer:

A= 204 in²

Step-by-step explanation:

The base is 12 in, and the height is 17 in.

A=b h=12·17=204 in²

it it right  

Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?

Answers

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Can anybody please help me

Answers

Check out the attached photo

Answer:

7x+2/x² +x +2

that's my answer

The sum of 8 and three times a number is 41

Answers

Answer:

The number is 11

Step-by-step explanation:

First turn this into a mathematical equation

8+3x=41

subtract 8 from both sides

3x=33

divide both sides by 3

x=11

describe the translation from figure A to figure B

Answers

Answer:

The figure A is translated from the third quadrant to the second quadrant thus the formula used is P(x,y) = T(a,b) = Image of P(x+a, y+b). The object A and its image B are congruent and the direction and magnitude of the displacements are given by the direction and magnitude of translation vector t = ( a,b ). Where, a is the horizontal displacement ( along x-axis ) and b is the vertical displacement ( along y-axis ).

Two dozen eggs and a loaf of bread cost K4.94. Half a dozen eggs and two loaves of bread cost K2.32. Find the cost of a dozen eggs.

Answers

The cost of a dozen of eggs is $3.

Given two dozen eggs and a loaf of bread cost K4.94 and

Half a dozen of bread cost K2.32

Cost of a dozen of eggs = ?

we know that, 24E ₊ B = 8.50 and

6E ₊ 2B = 6.50

multiply the first equation by 2 and substract

48E ₊ 2B = 17

6E ₊ 2B = 6.50

after solving both equations we get:

42E = 10.50

we are searching for the value of a dozen eggs, which is 12E

multiply 42E = 10.50 by 12/42 = 6/21

and you get

12E = 10.50 × (6/21) \\ 10.50 = 21/2

12E = (21×6)/(2×21)

12E = 3

so a dozen eggs cost 3 dollars.

Hence we get the cost of a dozen of eggs as $3

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[tex]-\sqrt[4]{324}[/tex]

Answers

Exact form = --3√2

Yay ya ya use ma-th-w-ay

Is the product of 3/6 times 5/4 equal to the the product of 3/4 times 5/6? Explain

Answers

Answer:

Step-by-step explanation:

Yes the product is equal because even though the numbers may have changed places they did not change the position(numerator to denominator) vice versa.meaning the product of what is in the numerator is equal irrespective of the positions for an e.g in numerator part ion the first terms we have 3*5=15 and in the second scenario we have of course 3*5=15 same applies to the denominators 3*5=5*3

A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for
$5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to findp, the number of pies the class needs to sell in order to earn enough money to
pay for the field trip?
A 5p+75 ≤ 386
B 5p+752 386
C 75p+52 386
D 75p+5≤ 386

Answers

I'd say its A because:

5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).

The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality relation be represented as A

Let the number of pies the class sells be p

Now , the equation will be

The total amount for the field trip = $ 386

The amount given to the students = $ 75

The cost of 1 pie = $ 5

So , the cost of p pies = 5p

Now , the total amount with the students = cost of p pies + amount given to the students

Substituting the values in the equation , we get

5p + 75 ≤ 386

Therefore , the value of A is 5p + 75 ≤ 386

Hence , the inequality relation is 5p + 75 ≤ 386

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y+1-x when x=4 and y=5

Answers

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

[tex]\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2[/tex]

Therefore, the answer is 2.

Can someone please find x ?

Answers

Answer:

Step-by-step explanation:

There are 31 horses competing in a show, how many ways can the blue,red,and yellow ribbons be awarded

Answers

If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as [tex][(nPr)=\frac{n!}{(n-r)!} ][/tex],  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

[tex](31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.[/tex]

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

Probability: In mathematics, probability of an event is the extent to which it is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.Permutation: In mathematics, a permutation of a set is an arrangement of its members into a particular sequence, or if the set is already ordered, a rearrangement of its elements.

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Is a = 8 a solution to 6 = a/4 + 2

Answers

Nope no no Nono no on nopedy nope

A quadrilateral with one right angle must be a rectangle

Answers

Answer:

false

Step-by-step explanation:

Find and simplify the difference quotient
f(x) = -x²+2x+5
f(x+h)-f(x)
————————
h
w an example
=
Get more help
f(x+h)-f(x)
——————
h
h#0 for the given function

Answers

Given difference quotient is f(x) = -x²+2x+5.

Simplified version is (f(x + h) - f(x))/h = 1.

What is difference quotient?

If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).

The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.

That equation is known as a difference quotient because both the numerator and denominator are differences.

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Find unit rate $602 for 20 hours of work

Answers

I think the answers 30.1

he mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

Answers

The conclusion is that 68% of all tires will have a life between 28000 km and 32000 km.

How to use the Empirical Rule of statistics?

The empirical rule in statistics states that for a normal distribution,

68% of the distribution are within one standard deviation from the mean.95% are within two standard deviation from the mean.99.7% are within three standard deviations from the mean.

We are given;

Mean (μ) = 30000 km

Standard deviation (σ) = 2000 km

Using the empirical rule of 68% which lies within one standard deviation from the mean, we have;

μ ± σ = 30000 ± 2000 = (28000, 32000)

Thus, we conclude that 68% of all tires will have a life between 28000 km and 32000 km.

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A water bottle holds 120oz. Each time Anna takes a sip she drinks 10oz.a) Write a function to represent the scenario

b) How many sips can Anna take before she needs to refill?

c) Create a graph to represent this situation.

d) What is the domain of the function?

Answers

From the situation described, we have that:

a) The linear function is: f(s) = 120 - 12s.

b) She can take 10 sips before she needs to refill.

c) The graph is given at the end of the answer.

d) The domain is: 0 ≤ s ≤ 10.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the parameters are given as follows:

m = -12, b = 120.

Hence the function is:

f(s) = 120 - 12s.

She can take sips until f(s) = 0, hence:

120 - 12s = 0

12s = 120

s = 10.

She can take 10 sips before she needs to refill, and hence the domain(set that contains the input values for the function) is 0 ≤ s ≤ 10.

The graph is given at the end of the answer.

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