Answer:
48
Step-by-step explanation:
If 12 is one-fourth of a number, just multiply 12 by four to find the whole number.
12 x 4 = 48
You could have also set this up as an equation
12 = 1/4x
And then divide 12 by one-fourth
12/(1/4) = 48
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
Factorise fully
6x - 8
Answer:
2(3x+ 4)
I hope it helps
Pls mark as brainliest
The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False
N+2=-14-n 46 POINTS WORK SHOWN
Answer:
woah that seems too complicated for my 9th grade brain
Step-by-step explanation:
n+2=−14−n
Move all terms containing n to the left side of the equation.
2n+2=−14
Move all terms not containing n to the right side of the equation.
2n=−16
Divide each term by 2 and simplify.
So the answer is: n=−8
One number exceeds another by 1. The sum of the numbers is 23. What are the numbers?
Answer:
the numbers are 11 and 12
Step-by-step explanation:
Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
Step-by-step explanation:
I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year
Answer:
1,100
Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100
Answer:
not 1,100 its 1100
Step-by-step explanation:
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.
Answer:
Trophic Level
Step-by-step explanation:
The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
I am actually dumb just help me please
Answer:probably about 50 years
Step-by-step explanation:did for my family’s live oak
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
A. y = −½ x − 5
B. y = −½ x − 1
C. y = 2x − 5
D. y = 2x − 1
Answer:
C. y = 2x − 5
Step-by-step explanation:
Given equation of line
2x − y = 3
rewriting the equation in slope intercept form as answer are given slope intercept form
y = 2x - 3
slope intercept form of equation is
y = mx + c
where m is the slope
c is y intercept
thus
slope for y = 2x - 3 when comparing with y = mx + c is 2
now we know slope of two parallel line is same
thus,
the slope of line that is parallel to the line 2x − y = 3
is 2
Let the equation of required line be y = mx + c
where m = 2
thus
y = 2x + c is the new required equation
it passes through the point (2, −1)
using y = -1 and x = 2 in y = 2x + c
-1 = 2*2 + c
c = -1 - 4
c = -5
thus,
equation of required line is option c
y = 2x - 5 ----answer
PLASE ANSWER THIS!! MARKING BRAINLEIST
1. 59049
2. a^12
3. 8a^6
4. 16a^ 10 b^6
5. 9a^4
6. s^6 t^12
7. s^5 / t^5
8. 6561
9. s^2 t^8 / r^2
10. 81a^2 b^6
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
Read more about decimal here:
https://brainly.in/question/109147
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I need help and I don’t know what to do! What is 6x+y=17?
Answer:
6×+y-17=0 it is the correct answer and hope this help for you
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation:
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
9514 1404 393
Answer:
y = 2x - 4
Step-by-step explanation:
You want an equation with an x-coefficient that is not 1/2.
2/4 = 0.5 = 1/2
so, the first three answer choices don't meet problem requirements.
The line with equation ...
y = 2x -4
is not parallel to y = 1/2x -6.
What is 120 divided by 55
Answer:
2.2
..................
120/55
Find the x-intercept in the function: 3x-2y =6
Answer:
x=(2,0)
Step-by-step explanation:
3x-2y=6
3x-2(0)=6
3x=6
x=2
Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)
Answer:
-2
Step-by-step explanation:
Bc÷2a
5×-4÷2×5
-20÷10
-2
The value of the expression bc ÷ 2a will be negative 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.
PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
The value of the variable expression when a = 5, b = 5, and c = -4.
The expression is given below.
⇒ bc ÷ 2a
Substitute the value of the variable a = 5, b = 5, and c = -4.
⇒ 5 × (-4) ÷ 2 × 5
Simplify the expression, then the value of the expression will be
⇒ - 20 ÷ 10
⇒ - 2
The value of the expression will be negative 2.
More about the Algebra link is given below.
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ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspector tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???
Answer: 7 radios
Step-by-step explanation:
The following can be deduced from the question:
Number of radios tested = 125 radios
Percentage acceptable = 60%
Numbers acceptable:
= 60% × 125
= 0.6 × 125
= 75 radios
Numbers rejected = 125 - 75 = 50 radio
We are further told that the inspector tested 25 more radios, this will be:
Number of radios tested
= 125 + 25 = 150 radios
Percentage acceptable = 62%
Numbers acceptable
= 62% × 150
= 0.62 × 150
= 93 radios
Numbers rejected= 150 - 93 = 57 radios
The number of these 25 radios that were rejected will be:
= 57 - 50
= 7 radios
What is 4 1/4 ÷ 4 1/2
Answer:
Your answer is going to be 17/18.
Step-by-step explanation:
You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.
(17/4)(2/9)
34/36
17/18
Please help thank you
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
Answer:
In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.
Step-by-step explanation:
the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.
Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?
Answer:
Total money made is $597, $489 from hardbacks and $108 from paperbacks.
Step-by-step explanation:
$3 x 163= $489
$2 x 54= $108
total $= 3(163)+2(54)
total $= 489 + 108
total $ = 597
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......................;-;
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
what are the slopes of the two lines?
green has two yellow dots.
Answer:
-7(1/7) = -1
Step-by-step explanation: