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Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit?
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Answer:
The factory should produce 166 pairs of high-grade shoes and 364 pairs of low-grade shoes for maximum profit
Step-by-step explanation:
The given parameters for the shoe production are;
The number of low grade shoes the factory produces ≥ 2 × The number of high-grade shoes produced by the factory
The maximum number of shoes the factory can produce = 500 pairs of shoes
The number of high-grade shoes the dealer calls for daily ≥ 100 pairs
The profit made per pair of high-grade shoed = Birr 2.00
The profit made per of low-grade shoes = Birr 1.00
Let 'H', represent the number of high grade shoes the factory produces and let 'L' represent he number of low-grade shoes the factory produces, we have;
L ≥ 2·H...(1)
L + H ≤ 500...(2)
H ≥ 100...(3)
Total profit, P = 2·H + L
From inequalities (1) and (2), we have;
3·H ≤ 500
H ≤ 500/3 ≈ 166
The maximum number of high-grade shoes that can be produced, H ≤ 166
Therefore, for maximum profit, the factory should produce the maximum number of high-grade shoe pairs, H = 166 pairs
The number of pairs of low grade shoes the factory should produce, L = 500 - 166 = 334 pairs
The maximum profit, P = 2 × 166 + 1 × 364 = 696
Lisa wants to buy a snowboard that is on sale for 30% off the original price of $180. If the sales tax in Lisa's state is 6%, how much will Lisa pay for the snowboard?
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Answer:
$133.56
Step-by-step explanation:
Multiply 180 and .3 and then subtract that number with 180
you should then get 126
multiply 126 by .06 you should get 7.56
Finally add 126 and 7.56 you should get your final price of 133.56
HELP ASP!!!
The x value of the solution to the system of equations is_____ and the y-value is_____.
DO NOT ANSWER IF YOU DONT KNOW THE ANSWER.thank you
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Answer:
uuruehehejhruebejebehhrrifbfj
Step-by-step explanation:
irj4j4jrbrurbrjrbru=&=&&=&
Answer: i think its anime god
steve walks 3 kilometers a day how many meters does he walk in 3 days??
Answers
Answer:
9,000 m
Step-by-step explanation:
1 km = 1,000 m
3 * 3 = 9 km
9 * 1,000 = 9,000 m
Answer:
9000m in 3 days.
hope it helps.
30 POINTS!!! Kent won 25% of the games he played on Saturday. If he lost 12 games on Saturday, and no game ended in a tie, how many games did he win?
Answers
Answer:
He won 4 games
Step-by-step explanation:
Percentage of games he lost= 75%
Let the total number of games be [tex]x[/tex]
75% of [tex]x[/tex] = 12
[tex]\frac{75x}{100}[/tex] = 12
75[tex]x[/tex]= 12 x 100
[tex]x[/tex]= [tex]\frac{1200}{75}[/tex]
=16
Number of games he won = 16-12
= 4
Answer:
4
Step-by-step explanation:
If Kent won 25% of the games, he lost 75% of them. Thus if g is the total number of games he played,
12 = 0.75(g) ---> g=16
So the number of games he won was 16 - 12 = 4.
And item is regularly priced at $81. Maria brought it at a discount of 85% off the regular price you say a LEKS calculator to find out how much were you paid
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Answer:$12.15
Step-by-step explanation:
Given
The regular price of an item [tex]\$81[/tex]
Maria gets a discount of [tex]85\%[/tex]
Amount paid after the discount is
[tex]\Rightarrow 81(1-85\%)\\\Rightarrow 81(1-0.85)=85(0.15)\\\Rightarrow \$12.15[/tex]
Lakmini decided to measure the circumference of the Earth
using a very long tape measure. She held the tape measure
Im from the surface of the (perfectly spherical) Earth all the
way round. When she had finished her friend said that her
measurement gave too large an answer and suggested taking
off 6 m. Was her friend correct?
[Take the radius of the Earth to be 6400 km (if you need it).]
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Answer:
Step-by-step explanation:
[tex]\Delta C=2\pi(r_2-r_1)\\ \\ \Delta C=2\pi(6400001-6400000)\\ \\ \Delta C=2\pi\\ \\ \Delta C\approx 6.283m\\ \\ \text{So taking off 6 meters is reasonable.}[/tex}
What is the cost difference between 6.75 and 8.75
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8.75-6.75=2
ABC is dilated by a factor of 1/2 to produce AA'B'C!
helpppppp
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Answer:
abc
Step-by-step explanation:
abc
Answer:
B
Step-by-step explanation:
A P E X
what is the vertex
x-intercept &
y-intercept
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X int is 2
Y int is -6
My calculation might be wrong so check it.
-4/2(-1) = 2
(2, )
-(2)^2 + 4(-2) - 2 = -6
please help me with this i give brainliest.
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Answer:
Step-by-step explanation:
[tex]25+12.5v\ge 130\\ \\ 12.5v\ge 105\\ \\ v\ge 8.4[/tex]
PLEASE HELP IM BEGGING YOU!!! Team Integrity kids were supposed to go on a field trip to an ice rink. The cost was $12 per student for tickets, and $10 per student for food. The team paid $50 for buses. Write an expression to represent the total cost of this field trip for the entire team. Identify what your variable represents. *
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S=students
T= total
ax- bx > 2a-2b
solve for x
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Answer:
If a<b, x<2
If a>b, x>2
Step-by-step explanation:
ax-bx>2a-2b, (a-b)x>2(a-b)
If a>b, x>2(a-b)/(a-b)=2
If a<b, x<2(a-b)/(a-b)=2
( Can Someone Help Please? )
A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,144. The students have to pay for the remaining cost of this trip. How much will each student have to pay?
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Answer:
$33
Step-by-step explanation:
3200-2144= 1056
1056/32= 33
Cost of trip= 2,144
Amount each student has to pay =
=2,144 divided by 32
= 67 dollars per student
The sum of N terms of an arithmetic sequence with first term as 1 and common difference of 2 is 9801. Calculate the value of N.
Answers
Answer:
gngngngngngngngngngng
Answer:
n = 99
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 1 , d = 2 and [tex]S_{n}[/tex] = 9801 , then
[tex]\frac{n}{2}[/tex] [ (2 × 1) + 2(n - 1) ] = 9801 ( multiply both sides by 2 to clear the fraction )
n(2 + 2n - 2) = 19602
n(2n) = 19602
2n² = 19602 ( divide both sides by 2 )
n² = 9801 ( take the square root of both sides )
n = [tex]\sqrt{9801}[/tex] = 99
The number of terms summed is 99
f(-5) if f(x) = -x - 4
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Answer:
1
Step-by-step explanation:
3(2x - 5)(x + 4) = 0 The zero product property tells us that:
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Answer:
x=5/2, -4.
Step-by-step explanation:
3(2x-5)(x+4)=0
(2x-5)(x+4)=0/3
(2x-5)(x+4)=0
2x-5=0, x+4=0
2x=0+5,
2x=5,
x=5/2,
x+4=0
x=0-4=-4
what is the value of 5 in 102,587
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In ΔQRS, q = 73 inches, r = 40 inches and s=51 inches. Find the measure of ∠S to the nearest degree
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Answer:
74 is the correct answer to the question
Answer: 74
Step-by-step explanation:
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (5 points) Group of answer choices −7 negative 1 over 7 1 over 7 7
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Answer:
1/7
Step-by-step explanation:
Given that :
Line AB contains points A (8, −4) and B (1, −5)
Slope = Rise / Run
Rise = y2 - y1 = - 5 - (-4) = - 5 + 4 = - 1
Run = x2 - x1 = 1 - 8 = - 7
Slope = Rise / Run = - 1 / - 7
Slope = 1/7
PELASE HELP ME I need a), b) and c)
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Answer:
area = 17
volume = 23
surface area =69
Como que c faz conta de raiz quadrada?
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Answer:
could u say it in english and is it a multiple chice?
Step-by-step explanation:
I need a legitimate answer ASAP
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Answer:
DE is congruent to AB
DF is congruent to AC
FE is congruent to CB
Evaluate
( 2/10 ) ^3
1. 1/5
2. 6/30
3. 8/1,000
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Answer:
3. 8/1,000
( I hope this was helpful) >;D
What is the value of 80-5(x^2-y)+y when x=4 and y=6
Answers
Answer:h
Step-by-step explanation:
A line contains the points (-6, -4) and (0, 4). What is the equation of this line in slope-intercept form? A. B. C. y = x – 4 D. y = x + 4
Answers
Answer:
y = 4/3 x + 4
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept on the y axis
where the slope m = (y2 - y1)/(x2 - x1)
Hence given the points (-6, -4) and (0, 4)
m = (4 --4) / (0 --6)
= (4+4)/(0+6)
= 8/6
= 4/3
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence the equation of this line in slope-intercept form
y - -4 = 4/3(x --6)
y + 4 = 4/3(x + 6)
3y + 12 = 4x + 24
3y = 4x + 24 - 12
3y = 4x + 12
y = 4/3 x + 4
For a line with given points (x2, y2), the equation is given as
y-y2 = m(x-x2)
Hence the equation of this line in slope-intercept form
y-4 = 4/3(x - 0)
multiply through by 3
3y - 12 = 4x
3y = 4x + 12
y = 4/3 x + 4
Answer:
A
Step-by-step explanation:
Why do interest rates on loans tend to be higher in a strong economy than in a weak one?
a. Credit markets increase in a strong economy, and with increased demand come
increased prices.
b A strong economy encourages borrowers to take out very long-term loans, which have
higher interest rates.
Credit is plentiful in a strong economy, so it is harder to build up the good credit rating
necessary for a low interest rate
d. People in a strong economy have more money, so they can afford more expensive loans.
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explain-589’:
sea f(x)=3x3+5x, calcule f(5) + f(3)
Answers
Answer:
496
Step-by-step explanation:
Please help! will give brainliest!!
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Answer:
For every 1 flip flop, it's $4?
Step-by-step explanation:
I'm not sure what the question is, so I'm just guessing.
Answer:
y = 4x
Step-by-step explanation:
y = profit from flip flops
x = flip flops
4 = constant rate, or slope, of the function
hayley spent 2 1/2 of an hour playing on her phone. that used up 4/8 of her battery. how long would she have to play on her phone to use the entire battery?
Answers
Answer:
5 hours
Step-by-step explanation:
4/8 is simply 1/2 and 1/2 times 2 is 1
so 2 1/2 times 2 is 5 hours