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
Identify the initial value and rate of change for the graph shown. (4 points)
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Group of answer choices
Initial value: 1, rate of change 5 over 3.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 5 over 3., rate of change: 0
Answer:
a
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
y=mx+b
point (5,4)
x=5
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
how would you write 8.235 E14 in standard form
Answer:
what????
Step-by-step explanation:
What is the distance between
(2,3) (8,9)
Answer:
Step-by-step explanation:
–25y – 35
plz tell me step by step
2x2+ 5x -4 = 0
• _Value of the Discriminant:
• Number of Solutions:
• Number of x-intercepts:
• Type of Solutions:
Answer:
Step-by-step explanation:
value of discriminant:
[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]
As the value of discriminant is larger than zero, so there are 2 distinct solutions.
2 solutions also mean there are 2 x-intercepts.
Select the correct answer.
Which property of equality was used to solve this equation?
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
A. addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
The addition property of equality was used to solve this equation. option A is correct.
A solution is given we have to determine the solution contains which property of equality.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
We can see, in step 2 5 is added to both sides of an equality, which implies the property of additions.
Thus, the addition property of equality was used to solve this equation. option A is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Sam decides to download some new music. She downloaded 3 albums and 10
singles, and her total was $61. The next day she purchased more music from the
same retailer and downloaded 6 more albums and 8 singles for a total of $74.
Assuming that all albums and singles are the same price, how much did she spend on
each album and each single? Write a system of equations to represent this
situation. Then solve for the solution using the elimination method.
Answer:
An album costs $7 while a single cost $4
Step-by-step explanation:
Let the amount spent on singles be $x while the amount spent on albums be $y
First day, she downloaded 3 albums and 10 singles that cost $61
Hence;
3y + 10x = 61 ••••••••(ii)
Second day, she downloaded 6 albums and 8 singles for $74
8x + 6y = 74 ••••••••(ii)
We now want to use elimination method to solve both equations
Multiply equation i by 2 and ii by i
20x + 6y = 122
8x + 6y = 74
Subtract ii from i now
12x = 48
x = 48/12
x = 4
Recall;
3y + 10x = 61
substitute for x
3y + 10(4) = 61
3y + 40 = 61
3y = 61-40
3y = 21
y = 21/3
y = 7
An album costs $7 while a single cost $4
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3. You bake 12 oatmeal cookies. How many chocolate chip cookies do you bake
Answer:
4:3
8:6
12:9
you will bake 9 chocolate chip cookies.
I will bake 16 chocolate chip cookies for every 12 oatmeal cookies I bake.
What is a ratio?A ratio is a comparison of two or more similar quantities in simplest form.
a/b can be written as a : b.
Given, The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3, which is 4/3, and assuming for 12 oatmeal cookies I bake x chocolate chip cookies.
∴ 4/3 = 12/x.
x = 12×4/3.
x = 4×4.
x = 16.
learn more about ratios here :
https://brainly.com/question/13419413
#SPJ2
What is the measurement of <1?
Answer:
1 = 135 degrees
Step-by-step explanation:
ALDS championship hats are sold in boxes of 18. If the Tampa Bay Rays need 168 hats for team members and staff, how many boxes of hats would they need to order? Explain your
reasoning
Answer: 3024
Step-by-step explanation:
mutiply 18x 168
plz help with my 8th grade mathy math
Answer:
N = 250
Step-by-step explanation:
-17 + [tex]\frac{n}{5}[/tex] = 33
+17 +17
[tex]\frac{n}{5}[/tex] = 50
50 x 5 = 250
n = 250
Answer:
n=250
Step-by-step explanation:
-17+n/5=33
n/5=33+17
n=50*5 =250
Check;put n=250,
-17+250/5
= -17+50
=33
help me plz thx alot
It is 180 degrees- hope this helps!
Which word describes 5 in the number sentence shown?
2 = 18
53
A Term
B Variable
Equation
D) Coefficient
Find f'(a). f(x)=[tex]\sqrt{2-2x}[/tex] using (f(a+h)-f(a))/h
Answer:
clculator soup
Step-by-step explanation:
9999999999999999999999999999999999999+888888888888888888888888888888888888
Answer:
a lot
Step-by-step explanation:
one bands streaming video
What's the question?
I don't understand what you're asking.
Answer:
i agree with them what is this and what are you asking?
Step-by-step explanation:
-10 |h+5| -3= -83
what is the answer to this the topic is absolute value.
Answer:
the absolute value is 3,-13
8+-2w>4
I dont know this i gotta solve fore w.
Answer:
w < 2
Step-by-step explanation:
Subtract 8 from both sides.
-2w > -4
Divide both sides by two. WHEN YOU DIVIDE BY A NEGATIVE, the sign FLIPS!
w < 2
There ya go! Please mark me as Brainliest; I need it to move on to the next level. =D
During a 20 kilometer hike, Deana consumed 334 quarts of water. What was Deana's average water consumption in quarts per kilometer? in a exact and completely simplified answer.
Answer:
16.7 quarts/kmStep-by-step explanation:
Distance = 20 kmWater consumed = 334 quartsWater consumption rate is:
334 quarts / 20 km = 16.7 quarts/kmThe value of 30 - (2 - 4) ÷ (-2) is _____.
-16
31
-14
29
Answer:
29.
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM!!!!!!!!!!
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer: x = 30
Step-by-step explanation:
Since AB and CD are straight lines, vertical angles formed by them are congruent. Angle DOB is equal to angle AOC which is equal to 2x. Since you know that a straight angle is equal to 180 degrees, you can say :
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x=30
Hope this helped :)
2800 people attended a football game. 1260 of the people attending supported the home team, while 1540 supported the visiting team. What percentage of people attending supported the home team?
Answer:
45% of people attending supported the home team
Can someone help me plz
Answer: C
Step-by-step explanation:
Find the difference between the two points then change to opp. in order to find the other endpoint.
A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong
Three out of five students in Mrs. Bishop's class play chess. What percentage of students in her class play
chess?
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
n is a positive integer. (i) Explain why n(n - 1) must be an even number.
Answer:
Since the equation is n(n-1) where n is even, (n-1) will result to an odd number and when multiplied the answer with n( an even number), this will result to an EVEN NUMBER. Therefore, in any number that n can substitute, whether even or odd, the answer will always result to an even number
Step-by-step explanation:
What happens in the falling action of Ares god of war?
Answer:
In the Ancient World, the most powerful forces that shaped human destiny were personified by polytheistic religions in the form of Gods. In this way, the ancients believed that they could influence impersonal forces and powers. One of these was war. In the past, conflict was a constant fact of everyday life, and peace was rare. This is what made the Greek God of War, Ares, so influential in mythology and religion.
The origin of the myth of Ares
Ares was the son of Zeus and Hera, was regarded as one of the Twelve Olympians, and was one of the major deities of the Greek world. The etymology of the name Ares means curse or ruin. Unlike many other religions, such as Roman mythology, the Greeks did not worship war. They were very ambivalent about the God who personified for them the power and bravery needed for victory in war. For the Greeks, he represented the worse in war and conflict
Angle R measures 47 degrees if the angle is rotated 180 degrees around the origin what is the angle of R?
Given parameters:
Measure of Angle R = 47°
Operation on the angle; rotated through 180°
Unknown:
what is angle R now= ?
Solution:
Angle R was originally an acute angle which was 47°;
And an additional 180° rotation will produce;
New Angle R = 47 + 180 = 227°
The new dimension of the angle is 227°
2. How many batches can you make
with 15 cups of flour and 6
teaspoons of vanilla? Indicate the
additional batches by adding more
ingredients to your diagram.
Answer:
3 batches
Step-by-step explanation:
22. Part-Time Job
You work at a grocery store part-time. You estimate that you spend three-fifths of your time stocking shelves. You work 20 hours each week. How many hours of your work week do you spend stocking shelves?
Answer: 12
Step-by-step explanation:
You spend 20 hours working at a grocery store each week. You spend 3/5 of that time stocking shelves. You need to find out what 3/5 of 20 is.
Step 1: Turn 20 into a fraction
20 = 20/1
Step 2: Multiply
3/5 x 20/1 = 60/5
Step 3: Simplify
60/5 = 12