Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours per week, and it has $3000 outlay weekly on operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $4 on line B. (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.
Answer:
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
Step-by-step explanation:
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
(a) The inequality for the number of items, x, produced by the labor, is given as follows;
250 ≤ x ≤ 600
(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000
What is inequality?Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.
The total time available for production = 1000 hours per week
The time it takes to produce an item on line A = 1 hour
The time it takes to produce an item on line B = 4 hour
Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours
The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items
The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items
Therefore, the number of items, x, produced per week with the available labor is given as follows;
250 ≤ x ≤ 1250
Which is revised to 250 ≤ x ≤ 600 as shown in the following answer
(b) The cost of producing a single item on line A = $5
The cost of producing a single item on line B = $4
The total available amount for operating cost = $3,000
Therefore, given that we can have either one item each from lines A and B with a total possible item
When the minimum number of possible items is produced by line B, we have;
Cost = 250 × 4 = $1,000
When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;
Total cost = 250 × 4 + 1000 × 5 = 6,000
Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;
$3,000/$5 = 600 items = The maximum number of items that can be produced
The inequality for the cost, C, becomes;
$1,000 ≤ C ≤ $3,000
The time to produce the maximum 600 items on line A alone is given as follows;
1 hour/item × 600 items = 600 hours
The inequality for the number of items, x, produced by the labor, is therefore, given as follows;
250 ≤ x ≤ 600
Hence the inequality for the number of items, x, produced by the labor, is 250 ≤ x ≤ 600 and the inequality for the cost, C is $1,000 ≤ C ≤ $3,000
To know more about Inequality follow
https://brainly.com/question/24372553
What is the missing number in the sequence below?
39, 24, 9, ____, -21
Answer:
-6
Step-by-step explanation:
The pattern here is that you substract 15 every time you move a number (left to right) , therefore: 9-15 = -6
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Which expression is equivalent to |1-5| + |3|?
O -2
O -8
O 2
O 8
Answer:
8
Step-by-step explanation:
because you do |1-5| first then do add ur answer to |3|
List the values in ascending order.
43%.
2 3
is
Answer:
1. 2/3 = 66.66%2. 43%Thank you ☺️
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding A single lap should be completed each time you hear this sound. Ding Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding
5-5+57738+=78875245
100% correct
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound
Step-by-step explanation:
Glenn has been training for a bicycle race. On Sunday he covered a distance that was 3 miles more than what he usually cover on the following Sunday he cover 3 miles more than twice the miles are usually covers if he usually covers 5.3 miles what is the total number of miles that he covered on the two Sundays
Answer:
Step-by-step explanation:
bruh
Answer:
13.6
Step-by-step explanation:
take 5.3 and multiply it twice to get 10.6
then add 3 to get 13.6
MATH HELP ASAP PLEASE
Answer:
53lbs
Step-by-step explanation:
if he bought three bags of gravel that are 20 lbs. each then he would have 60 lbs. of gravel. In the end he only had 7 pounds left so you would subtract 7 from 60 and get 53 pounds.
7+x=60 or 60-7=53
i hope this helped!
i hate math someone knows this please help me this is so diffcult my teacher doesn't explain anything
Answer: What is this for (Like what app)
Step-by-step explanation:
The Answer is 13/48 hope this helps mark as brainliest plz.
Answer:
13/48
Step-by-step explanation:
Hope this helps
One queso dip recipe calls for 4 pieces of cheese and 2 peppers. Hector triples the recipes when he makes queso for his family. How many pieces of cheese for every 1 pepper?
Answer:
2 pieces of cheese for 1 pepper.
After tripling it: 12:6
Step-by-step explanation:
Focus on the first sentence.
4 pieces of cheese to 2 peppers. Turn it to ratio.
4:2
Simplify:
2:1
So, for every 1 pepper, we have 2 pieces of cheese.
Which fraction does not belong?
- 8/12
- 6/12
- 2/3
- 4/6
Which one AND why?
Answer:
6/12
Step-by-step explanation:
all of the other 3 equal 8/12
What is m m +
4 = −12
Answer:
- 16
Step-by-step explanation:
Step 1:
m + 4 = - 12 Equation
Step 2:
m = - 12 - 4 Subtract 4 on both sides
Answer:
m = - 16
Hope This Helps :)
5x + y = -5
I need to graph this pls help
Simplify ∛g^6h^30
a: g^3h^10
b: g^2h^10
c: 2gh^5
Answer:
a] = 0
b] = 0
c] = =2gh^5
Step-by-step explanation:
Answer:
The answer is B. g^2h^10
A recipe calls for 1/6 teaspoon of vanilla extract. If the recipe is doubled how much vanilla extract is needed?
I think its 1/3 but im just checking. :)
Answer:
Step-by-step explanation:
that's correct :)
2x+5=119 solve for x
Answer:
x = 57
Step-by-step explanation:
Hope this helps!!
If you need an explanation just lmk
Anna runs 3/4 miles in six minutes Assuming she runs at a constant rate what is her speedin miles per hour
Answer:
7.5 or 15/2 or 7 1/2 miles per hour
Step-by-step explanation:
If she runs 3/4 miles in 6 minutes, and six times ten is 60 minutes in in hour, then 3/4 times 10 would be 30/4 = 15/2 = 7 1/2 = 7.5
Solve for y: 8x - 3y = 17
Option 1: y = -3/8 x - 17/3
Option 2: y = 8/3 x - 17/3
Option 3: y = -8/3 x + 17/3
Option 4: y = 3/8 x + 3/17
PLEASE SHOW STEPS.
Brainliest will be awarded to whoever answers with steps and correctly.
# 12 points
Answer:
x = 2.125 + 0.375y
Step-by-step explanation:
Simplifying
8x + -3y = 17
Solving
8x + -3y = 17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
8x + -3y + 3y = 17 + 3y
Combine like terms: -3y + 3y = 0
8x + 0 = 17 + 3y
8x = 17 + 3y
Divide each side by '8'.
x = 2.125 + 0.375y
Simplifying
x = 2.125 + 0.375y
What is the slope of a line perpendicular to y=4/3x+4
Answer:
-3
Step-by-step explanation:
If two distinct lines intersect, which is NOT necessarily true?
The lines are perpendicular.
Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.
B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
C. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.
D. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.
Answer:
B
Step-by-step explanation:
because since they say elevator 1 is +18 and elevator 2 is -20 and they didnt state anything else so it would be B.
Answer:
B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
Explanation:
"+" represents positive numbers, and "-" represents negative numbers.
what is 20% of 170,000,000
Answer:
34000000
Step-by-step explanation:
Answer:
34000000
Step-by-step explanation:
170000000*20%
=34000000
in simba the temperature was 6°c in the morning on a particular day . What was the temperature during the night if it further dropped by 9°c
Given parameters:
Simba temperature in the morning = 6°C
Temperature drop = 9°C
Unknown:
Temperature during the night = ?
Solution:
Since the temperature in the morning is given;
Temperature at night = Morning temperature - drop in temperature
Temperature at night = 6°C - 9°C = -3°C
The temperature at night is -3°C
A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle
Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
How you explain the can you compare how you feel right now with how you felt before we started with the relaxation activity? On a scale 1-5 .5 being the highest rate your level of stress before and after we started with the exercise.Did the levels change?
Answer:
I would rate my feelings 4 on a scale of 5
Step-by-step explanation:
Before exercising I usually feel low and heavily laden with overwhelming thoughts and the feeling doesn't seem to leave except in engage in some form of activities that will take my time and consciousness of time.
Like exercising does take time and it's very engaging one wouldn't know the passage of time while doing some physical task.
It's always relaxing after engaging in physical exercise,I also see it as physical therapy for mental health.
The new iPhone 12 Pro Max costs $1099 (without tax). You have saved $872 from
your summer job. How much more money would you need to earn in order to buy the
new iphone?
Answer:
227 dollars left
Step-by-step explanation:
1099-872
227
jacek went to a sporting event with some friends. They bought 2 sticks of equal price and a drink that cost $3.51. Write an equation to represent cost T and the cost s of each snack bought. How much did each snack cost if they spent $18.83 total?
Answer:
T + S = 18.33.
Step-by-step explanation:
If T is the cost of the drink and S is the cost of the snacks, then its easy.
The cost of the drink plus the cost of the snacks.
(25,-14) (-3,7)
determine the slope
Which equation. Represents a line that is parralel to y = -2x-5
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Two parallel lines have the same slopes thus ;
The line which we want should in form like this :
y = - 2 x + h
(( h )) can be any positive and any negative number.
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What would the points be if y=2x-5 domain's are : -2, -1, 0, 1, 2,
Answer:
-9, -7, -5, -3, -1
Solve:
x/4 - x/8 = 5
Answer:
x=40
Step-by-step explanation:
x/4 - x/8
LCM of 4,8=8
x/4x2/2 - x/8=5
2x/8 - x/8 =5
x/8=5
transpose
x=5x8
x=40
hope this helps
please mark as brainliest