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????
Answers
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 = [tex]\frac{5}{100} \times 16,000 = 800[/tex]
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 = [tex]\frac{2}{100} \times m = 0.02 m[/tex]
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) = [tex]\frac{4}{100} \times (16,000+m) = (0.04)(16,000 + m)[/tex]
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.
The number of panels produced by Plant B can be calculated by setting up an equation representing the total number of defective panels from both plants. Solving this equation yields a result of 20,000 panels for Plant B.
Explanation:Let's denote the number of panels produced by Plant B as X. According to the problem, 5% of the panels produced by Plant A were defective, which is 0.05*16,000 = 800. Since 2% of the panels produced by Plant B were defective, that's 0.02*X panels.
The total number of defective panels from both plants was 4% of the total production, which means it was equivalent to 0.04 * (16,000+X). Setting this equation equal to the sum of defective panels from both plants, we get the equation 0.04*(16,000+X) = 800 + 0.02*X.
Solving the above equation, we get X = 20,000. Therefore, "Plant B produced 20,000 panels".
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Related Questions
find the measure of the complement and supplement of 3y
Answers
Answer:
Step-by-step explanation:
x + y = 180
x = 3y + 8
3y+8 + y = 180
4y = 172
y = 43 degrees
x = 180-43 = 137 degrees
-5/7 is greater than -4/5
Answers
Answer:
Yes.
Step-by-step explanation:
Forget about the negative sign for now.
Just compare 5/7 and 4/5 first.
Find the common denominator so it's easy to determine which one is bigger/larger.
5/7=25/35 and 4/5=28/35
From here, you can tell which one is bigger/larger, right?
Definitely, 25/35<28/35.
5/7<4/5, but don't forget the negative sign.
It's -5/7 compared to -4/5, so the answer is yes, -5/7>-4/5.
Because it is..................
Which CANNOT be used in a proof?
A) Theorems
B) Postulates
C) Properties
D) Undefined terms
Answers
What is the sum of a number and 5
Answers
Answer:
x+5
Step-by-step explanation:
x+5
Find the measure of DF
Answers
Answer:
DF = 50Step-by-step explanation:
[tex]\bold{METHOD\ 1:}[/tex]
[tex]\triangle ABC\sim\triangle DE F\qquad(\text{similar tringles)}\\\\\text{Therefore corresponding sides are in proportion:}\\\\\dfrac{BA}{AC}=\dfrac{ED}{DF}\\\\\text{Substitute}\ BA=360,\ AC=600,\ ED=30\\\\\dfrac{360}{600}=\dfrac{30}{DF}\qquad\text{cross multiply}\\\\360DF=(600)(30)\\\\360DF=18000\qquad\text{divide both sides by 360}\\\\DF=50[/tex]
[tex]\bold{METHOD\ 2:}[/tex]
[tex]\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=40,\ leg=30,\ hypotenuse=DF.\\\\\text{Substitute:}\\\\40^2+30^2=DF^2\\\\1600+900=DF^2\\\\2500=DF^2\to DF=\sqrt{2500}\\\\DF=50[/tex]
The measure of DF cannot be determined without additional context or a specific function. DF could imply distance in a physics scenario or represent an infinitesimal change in a function in calculus.
Explanation:The measurement of DF seems to be a question related to calculus and physics, specifically pertaining to infinitesimal changes and dynamics. In calculus, df represents an infinitesimally small change in a function, often a result of changing variables x and y. In a physics context, DF can be interpreted as the distance fallen in a typical free fall scenario under gravity, with an initial velocity. Unfortunately, without additional context or a specific function provided, the measure of DF cannot be accurately determined.
For example, in the context of electromagnetism, dF could represent the infinitesimal force on a wire carrying current in a magnetic field, according to the formula dF = i (dl) x B, where i represents current, dl represents an infinitesimal length of wire, and B represents the magnetic field.
the school office users r reams or white paper and 3 reams of blue paper every day use distributive property to write and simplify an expression for how much paper the school office uses in one day
Answers
Answer:
(500r + 1500) sheets per day.
Step-by-step explanation:
The school office uses r reams of white paper and 3 reams of blue paper every day.
Now, the total number of reams of paper that the school office uses every day will be (r + 3) reams.
Now, we know that 1 ream of paper is equivalent to 500 sheets of paper.
So, the school office uses a total 500(r + 3) sheets of paper every day.
Now, using the distributive property the total number of sheets will be = (500r + 1500) (Answer)
Answer:(500+1500)
Step-by-step explanation:
*^<Please Help>^*
Suppose x is an odd number. Write an expression to represent each of the following:
a. The odd number immediately following x. _________
b. The odd number immediately preceding x. _________
Thank You!! =^)
Answers
Answer:
a. The odd number immediately following x = ( x+ 2)
b. The odd number immediately preceding x = ( x- 2)
Step-by-step explanation:
Odd Numbers : The number which DO NOT have 2 as their common factor are called odd numbers.
Hence, odd number IS NOT divisible by 2.
Some examples are : 1,3,5,7,9,..........
So, by the given examples, we can see that the difference between any TWO consecutive odd number is ALWAYS 2.
Here, given x : odd number
So, using the above argument :
a. The odd number immediately following x = ( x+ 2)
b. The odd number immediately preceding x = ( x- 2)
Final answer:
a. The expression for the odd number immediately following an odd number x is x + 2.
b. The odd number immediately preceding x is x - 2.
Explanation:
a. If x is an odd number, the next consecutive number is an even number, which is obtained by adding 1 to x. Since odd numbers are two units apart, adding 2 to an odd number x would result in the next odd number. Therefore, the expression to represent the odd number immediately following x would be x + 2.
b. Similarly, the odd number immediately preceding an odd number x can be found by subtracting 2, because the prior odd number is two units less than x. The expression for the odd number immediately preceding x is x - 2.
The price of packs of bubble gum are listed in the table below.
Bubble Gum Prices
Size of Pack Price
5 pieces $0.35
10 pieces $0.75
12 pieces $1.00
15 pieces $1.35
Which size pack of bubble gum has the lowest unit rate?
Answers
Answer:
The first one
Step-by-step explanation:
0.35÷5=0.07
0.75÷10=0.075
1.00÷12=0.08
1.35÷15=0.09
Leonard wants to save $100 in the next 2 months. He knows that in the
second month, he will be able to save $20 more than the first month.
How much should he save each month?
Answers
Answer:
$40,$60
Step-by-step explanation:
Let the money in the first month be x.
2x+20=100
x=40
Max constructed a scale model of the Eiffel tower. The base area of the model is 0.25 square meters, while the base area of the actual Eiffel tower is 15,625 square meters
What is the scale factor of the model?
A) 1:625
B) 1:250
C)250:1
D)625:1
Answers
Answer:
1:250
Step-by-step explanation:
[tex]\sqrt{15625/0.25}[/tex]
=[tex]\sqrt{62500}[/tex]
=250
How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?
Answers
Answer:
- 1,5 liters
Step-by-step explanation:
If 1 liter has 5% of saline solution, we know that our solution has 2,5 times the salt we want it to have: [tex]\frac{5\%}{2\%} =2.5[/tex], which means that, in the liter of water, there is an amount of salt that is 1,5 greater than what is desired.Then, if we want to lower the concentration of salt, we just have to add water. How much water? 1.5 liters. Then, 5% of solution divided in 2.5 liters of water yields in a 2% solution.Answer:
The water must be added to 1 liter of a 5% saline solution to get a 2% saline solution is 1.5 litres
Explanation:
We assume that the quantity of water added to be x litres. The quantity of saline in the existing solution is 5% of 1litre = 0.05 litres, with the addition of water, the quantity of new solution becomes (1 + x) litres. As per the problem, the percentage of saline in new solution should be equal to 2%. Therefore,
[tex]\frac{0.05}{1+x} \times 100=2[/tex]
So, 5 = 2(1+x)
2x = 5 - 2
[tex]x=\frac{3}{2}=1.5[/tex]
So, 1.5 litres water should be added to make the 1litre 5% saline solution a 2% saline solution.
what answer list all the common factors of 18 and 32
Answers
Answer:
Common factors of 18 & 32: 1, 2
Step-by-step explanation:
1 x 18 = 18
1 x 32 = 32
2 x 9 = 18
2 x 16 = 32
~
The population of Australia is approximately 19,500,000. Approximately 195,000 are of the ethnic group called
Aborigines. The Aborigines population is about what percent of the total population?
Answers
Answer:
1% of the whole australian population is Aborigines.
Step-by-step explanation:
Do [tex]\frac{part}{whole}[/tex] which is [tex]\frac{195000}{19500000}[/tex] and you get the answer 0.01 which (as a percent) can also be recognized as 1%.
Final answer:
The Aboriginal population forms about 1% of the total population of Australia when using the provided figures of a total population of 19,500,000 and an Aboriginal population of 195,000.
Explanation:
To calculate the percentage of the Aboriginal population in Australia relative to the total population, we can use the following formula:
Percentage = (Part / Whole) × 100
Here the 'Part' is the Aboriginal population and the 'Whole' is the total population of Australia. Plugging in the values provided:
Total Population (Whole) = 19,500,000Aboriginal Population (Part) = 195,000Percentage of Aboriginal population = (195,000 / 19,500,000) × 100
Perform the division:
Percentage = 0.01 × 100
Finally, we multiply by 100 to convert the decimal to a percentage:
Percentage = 1%
Therefore, the Aboriginal population forms about 1% of the total population of Australia. Note that this number might be an underrepresentation since recent estimates indicate that the Aboriginal population is about 450,000, which would be a larger percentage.
✓ Express 9 inches of rain in 72 hours as a unit rate. *
Answers
The unit rate of 9 inches of rain in 72 hours is calculated by dividing the depth of the rainfall by the duration, resulting in a unit rate of 0.125 inches of rain per hour.
To express 9 inches of rain in 72 hours as a unit rate, you divide the total amount of rain by the total number of hours to find the rainfall intensity per hour. The calculation would go as follows:
Write down the total rainfall depth: 9 inches.
Write down the duration over which the rain occurred: 72 hours.
Divide the total rainfall depth by the duration to calculate the unit rate: 9 inches / 72 hours = 0.125 inches per hour.
So, the unit rate is 0.125 inches of rain per hour.
There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.
Answers
There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19
Solution:Given that, There are two numbers whose sum is 64.
Let the number be a and b in which a is bigger.
Then, a + b = 64 ------ eqn (1)
The larger number subtracted from 4 times the smaller number gives 31.
4 x b – a = 31
4b – a = 31 ----- eqn (2)
We have to find the numbers.
So, from eqn (2)
a = 4b – 31
Subatitute a in (1)
4b – 31 + b = 64
On solving we get
5b = 64 + 31
5b = 95
b = 19
So, b = 19, then eqn 1
a + 19 = 64
On simplification,
a = 64 – 19
a = 45
Hence, the two numbers are 45 and 19
Y=2x+5 rotate 90 degrees
Answers
Answer:
Don't know
Step-by-step explanation:
Which way? Clockwise or Counterclockwise?
Which of the following equations matches the proportional relationship?
(A) A cell phone rate plan costs 6 cents per minute.
y= 0.06x
(B) A bag of 10 apples costs $6.
y= 60x
(C) A car is driving at an average speed of 60 miles per hour.
y= 0.60x
(D) A person burns 6 calories per minute using a rowing machine.
y= 60x
Answers
Answer:
Option (A) will be the correct match.
Step-by-step explanation:
We are asked to find which of the given equations matches the proportional relationship.
The only option (A) matches,
It is given that a cell phone rates plan costs 6 cents per minute.
Now, 6 cents is equivalent to $0.06.
Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by
y = 0.06x
So, option (A) will be the correct match. (Answer)
Simplify this equation 6√40 -2√90 +3√160
Answers
Answer:
BRAINLIEST PLZZZ
Step-by-step explanation:
Pull terms out from under the radical, assuming positive real numbers.
Exact Form:
18 √ 10
Decimal Form:
56.92099788
…
This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the function defined by the ordered pairs? A. x 7 8 9 10 y -49 -56 -63 -70 B. y -70 -63 -56 -49 x -10 -9 -8 -7 C. y 49 56 63 70 x -7 -8 -9 -10 D. x 7 8 9 10 y 49 56 63 70
Answers
Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.
Step-by-step explanation:
The inverse of a function means that the input becomes the output of the function and the output becomes input. When the function is given in the form of ordered pairs, the fiirst element of each ordered pair represents input and second element represents the output.
So, for given function: {(-49,7), (-56,8), (-63,9), (-70,10)}
The inverse will be:
{(7, -49), (8,-56), (9,-63), (10, -70)}
Hence,
Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.
Keywords: Function, Inverse
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Correct Answer:
X= 7, 8, 9, 10
Y= -49, -56, -63, -70
please answer me ,,,,,
Answers
Answer:
3/10
Step-by-step explanation:
Okay so we know that a whole pizza = 1
First of all let's convert all the denominators
1 = 10/10
1/2 = 5/10
1/5 = 2/10
5/10 + 2/10 = 7/10
10/10 - 7/10 = 3/10
Two different ways to show 38
Answers
Answer:
Two ways to show 38 is 12 x 3 = 38 and 1 x 38 = 38.
Step-by-step explanation:
Hope it helps! :)
Which of the following represents the equation of the inverse of y=5x-20
Answers
The equation of the inverse of y = 5x - 20 is y = (x + 20)/5.
Explanation:To find the equation of the inverse of y = 5x - 20, we need to switch the x and y variables and solve for y. So the inverse equation will be x = 5y - 20. Now, let's isolate y by adding 20 to both sides: x + 20 = 5y. Next, divide both sides by 5: (x + 20)/5 = y. Therefore, the equation of the inverse is y = (x + 20)/5.
What is the answer to 53
Answers
The solution is y=(7a+9b)÷8
Step-by-step explanation:
Given equation is;
[tex]\frac{2y-a}{3}=\frac{a+3b}{4}[/tex]
Multiplying both sides by 12;
[tex]12*\frac{2y-a}{3}=\frac{a+3b}{4}*12\\4(2y-a)=3(a+3b)\\8y-4a=3a+9b\\8y=3a+4a+9b\\8y=7a+9b[/tex]
Dividing both sides by 8;
[tex]\frac{8y}{8}=\frac{7a+9b}{8}\\y=\frac{7a+9b}{8}[/tex]
The solution is y=(7a+9b)÷8
Keywords: linear equations, variable
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6x - 11y = 29
-5x + 22 y = 40
Answers
Answer:
x=14, y=5. (14, 5).
Step-by-step explanation:
6x-11y=29
-5x+22y=40
--------------------
5(6x-11y)=5(29)
6(-5x+22y)=6(40)
-------------------------
30x-55y=145
-30x+132y=240
---------------------------
77y=385
y=385/77=5
6x-11(5)=29
6x-55=29
6x=29+55
6x=84
x=84/6=14
x=14, y=5.
With a convenience sample, a population is broken up into different subgroups and then simple random samples are conducted within each of these subgroups.
A. True
B. False
Answers
Answer:
i would like to say the answer is FALSE
Step-by-step explanation:
Eva and jin are new volunteers at the animal shelter . If they both volunteer the first of the month,in how many days will they volunteer on the same day again? Eva volunteers every 3 days and jin volunteers every 5 days
Answers
Answer:
In 15 days
Step-by-step explanation:
Eva Volunteers Every 3 Days:
So, Eva volunteers on:
3rd, 6th, 9th, 12th, 15th, 18th, 21st...and so on DAYS
Jin Volunteers Every 5 Days:
So, Jin volunteers on:
5th, 10th, 15th, 20th, 25th...and so on DAYS
So, we see NEXT which day they vounteer together. Looking at the list, we see that it is on 15th day. This is also the LCM (Least Common Multiple) of 3 and 5.
So, in 15 days, they volunteer on the same day again.
A saleswoman earns 9% commission on all merchandise that she sells. Last month she sold $9000 worth of merchandise. How much commission (in dollars) did she earn last month
Answers
Answer:
$810
Step-by-step explanation:
you have to turn your commission into a decimal and then multiply it by the total amount and then you will get your answer
The saleswoman earned $810 in commission last month.
Explanation:To find the commission earned by the saleswoman, we need to calculate 9% of the total merchandise sold.
9% of $9000 = $9000 * 0.09 = $810.
Therefore, the saleswoman earned $810 in commission last month.
If Johnny has 22 biscuits and Lucy has 5 how many biscuits does Ruby have?
Answers
Answer:
Ummmmm none I guess
Step-by-step explanation:
rawr
Answer: 27
Step-by-step explanation: bc thats what some random persons teacher said.
find the distance between (20, -2) and (19, 5)
any help would be appreciated thx! ❤❤❤
Answers
Answer: 5 root 2
Step-by-step explanation:
using pyth. theorem
x^2= 1^2 +7^2
x^2 = 50
x = 5 root 2
Answer:
Square root of 50 approx. 7.07
Step-by-step explanation:
Do the distance formula, Which is d= sqrt of (xsub2-xsub1)squared + (ysub2-xsub1)Squared.
It would be d= sqrt of (19-20)^2 +(5-(-2))^2 = sqrt of 50
2 divided by 1 6/7 in simplest form
Answers
Answer:
1 1/13
Step-by-step explanation:
2/1 6/7
2/ 13/7
2/1*7/13
14/13
1 1/13
The division of '2' by '1 6/7' involves the conversion of the mixed number to an improper fraction, after which it becomes '2 * 7/13'. This simplifies down to '14/13' or '1 1/13'.
Explanation:To calculate the division of '2' by '1 6/7', we first have to convert '1 6/7' to an improper fraction. '1 6/7' equals '13/7' when simplified. So, now the task is to divide '2' by '13/7'. In the division of fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, this becomes '2 * 7/13' (i.e. '2' over '1' times '7' over '13'). Multiplying the numerators together gives us '14', and multiplying the denominators together gives us '13'. Therefore, '2 divided by 1 6/7', in simplest form, is '14/13' or '1 1/13' when converted to a mixed number.
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