Answer:
¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800
Step-by-step explanation:
x : Número de DVD del modelo A
y : Número de DVD del modelo B.
MODELO A MODELO B TOTAL
Cantidad de caucho 1x 1x 50 kg.
Horas de mano de obra 1x 2x 80 horas
U : Utilidad mensual.
La función objetivo, que se debe maximizar, es:
U=30 + 40y
x+ y [tex]\leq 50\\[/tex]
x + 2y [tex]\leq 80[/tex]
x[tex]\geq 0[/tex]
y[tex]\geq 0[/tex]
Las coordenadas de los vértices de la región factibles son:
A (0, 0) B (50, 0) C (20, 30) D(0, 40)
Entonces, se evalúa la función objetivo en cada punto:
U (0, 0) = 30 (0) + 40 (0) = 0
U (50, 0) = 30 (50) + 40(0) = 1500
U (90, 0) = 30 (20) + 40 (30) = 1800
U (0, 40) = 30 (0) + 40 (40) =1600
Por consiguiente U tiene un valor máximo en C , en donde: x =20 , y = 30 .
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.
30 x 40 y
s.a.
x 0 (3)
y 0 (4)
help my peleas
[tex]25 = {c}^{2} [/tex]
Answer:
5
Step-by-step explanation:
[tex]c^{2}[/tex] = 25
[tex]\sqrt{c} = \sqrt{25}[/tex] /take square root of both sides
c = 5 /square root of 25 is 5
A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take
Answer:
6 years
Step-by-step explanation:
The computation of the time period is given below:
As we know that
Future value = Present value × (1 + rate of interest)^time period
$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period
$6,720 = $5,250 × 1.04^time period
1.28 = 1.04^time period
So, the time period is 6.29 years i.e. 6 years
hence, the time that should be taken is 6 years
What is the value of y when x = 4?
Answer:
I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry
Q8.
a. xy = 24, since (3)(8) = 24
b. 4y = 24
Y = 24 ÷ 4
Y = 6
NB: I think I figured it out ^-^ I hope this helps!
A triangle has a height of 24km and a base of 18km. What is the area of the figure?
Answer:
216 square km
Step-by-step explanation:
24 x 18 / 2 =
432 / 2 =
216 km square
Hope that helps!
Answer:
225 [tex]km^{2}[/tex]
Step-by-step explanation:
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
A p e x
Answer:
40% A.
Step-by-step explanation:
Pleaseee helpp answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!! P equals what ??????
Answer:
P = 2t + 2u + 2v + 4w
Step-by-step explanation:
[tex]P =t + t + u + u + v + v \\ + w + w + w + w \\ \\ P = 2t + 2u + 2v + 4w \\ [/tex]
17)
In the coordinate plane, the endpoints of a line segment are (-12, 9) and (16, -5). What is the midpoint of the line segment?
A
(2, 2)
B
(-2,2)
(4.-2)
D
At Keller's Bike Rentals, it costs $34 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use?
Answer: $3.77
Step-by-step explanation:
adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road. Their hikes are represneted on the graph below.
Answer:
45
Step-by-step explanation:
Min swims 4 7/10 laps on Tuesday and 3 5/10 laps on Wednesday . Jessica swims 5 3/10 laps on Tuesday and 4 2/10 laps on Wednesday how many laps did Jessica swim then Min
I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
Andre paid $17,520 for a new car. He will make equal payments each month for 4 years. What will be Andre’s monthly car payment?
Answer:
$12
Step-by-step explanation:
because,
365=year
365*4= 1460
17,520/1460=$12
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm
Cylinder's volume = 1330.5 cm^3
Step-by-step explanation:
radius, r = diameter, d / 2
= 11/2
= 5.5 cm
Volume = π r^2 h
= π × 5.5^2 × 14
= 423.5π
= 1330.5 cm^3
What is an equation of the line that passes through the points (-4,3)
and (-8,0)?
Answer:
Step-by-step explanation:
Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4
Point-slope equation for line of slope ¾ that passes through (-8, 0):
y-0 = ¾(x+8)
how can I find the smallest division of a measurement without a ruler? for eg. 12.45cm, what's the smallest division?
Answer:
Step-by-step explanation:
mm
Find the gradient of the line segment between the points (1,2) and (3,-10)
Which statement below is an example of the
Associative Property of Addition?
A. 7+(3+5)= 7+(5+3)
B.9+(11 + 6) = (9 +11) + 6
C. 3(6+5) = 3.6+3.5
D. 12(8 + 4) = 12(8) + 12(4)
Answer:
B
Step-by-step explanation:
Let say, a=9,b=11,c=6
Then associative properties says that every element is related to each other, here "b" associates a &c.
Therefore, a is related to b+c
c is related to a+b
Can someone help me with this?
Answer:
Step-by-step explanation:
Quadrilateral EFGH is a rectangle.
Therefore, measure of all interior angle of the rectangle = 90°
7). m∠FEG + m∠GEH = 90°
57° + m∠GEH = 90°
m∠GEH = 90° - 57°
m∠GEH = 33°
Diagonal of the rectangle are equal in measure and bisect each other.
8). m(FH) = m(FK) + m(KH)
= 32 + 32 [Since, FK ≅ KH]
= 64
9). m∠FGH + m∠EFG = 90° + 90°
= 180°
MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.
10). m∠MRN = 90°
11). m(PR) = 12
Therefore, m(RN) = 12
"Diagonals of a rhombus bisect the opposite angles"
12). m(∠PON) = 124°
Therefore, m(∠POM) = 124°
"ABCD is an isosceles Trapezoid"
13). Therefore, ∠C ≅ ∠D
14). AB║CD
15). AD ≅ BC
1. The graph of a LINEAR FUNCTION is a _______
A. Parabola
B. Point
C. Line
D. Circle
2. Which of the following are linear equations in two variables?
(a.) 2x + 3y = 12
(b.) x² +3y=4
(c.) y= 3x² -4
(d.) y² =16
3. Which of the following linear equations is in Standard form? (Ax + By =C)
A. Y= 7x + 3
B. 3x –5y= -5
C. - x + 7y =2
D. 4y -x = 0
4. What is the value of y in the equation
x -2y =4 given that x=8?
A. -4
B. -2
C. 2
D. 4
5. in the equation 2x + 3y = 7‚ when y=1, which would be the corresponding value of x?
A. -2
B. 0
C. 2
D. 4
6. which of the following ordered pairs is a
solution to the linear equation x-2y = 12?
A. (16,2)
B. (-8, -1)
C. (14,-1)
D. (4,-3)
7. which of the following is NOT a solution of the linear equation 3x -5y =-2?
A. (2,1)
B. (1, 1)
C. (6,4)
D. (16,10)
8. the steepness of the line also known as rise over run is called
A. linear equation
B. linear function
C. linear inequality
D. slope
9. which of the following equation is to be used in finding for slope of the given linear equation standard form?
A. m=A/ B
B. m= -A/B
C. m= B/-A
10. find the slope of the line that corresponds to the equation y=7x–5.
A. –5
B. 7x–5
C. 7
D. 7x
11. in the equation y= -2x +6, what is the slope?
A. -2
B. -1
C. 2
D. 6
12. in the equation y= 3x – 2, what is the y- intercept?
A. 3
B. -3
C. 2
D. -2
13. which of the following linear equations
is in slope-intercept form? (y=mx + b)
A. y= 9x – 23
B. x=3y+10
C. 2x+2y=2
D. x+7y=1
14. which of the following linear equations is in standard form? (Ax + By =C)
A. –x+7y=14
B. y=7x–14
C. 8y–x=16
D. 2x–9y=–6
15. which of the following is the standard form of y=11x+3 ?
A. 11x–y=3
B. –11x+y=–3
C. –11x+y=3
D. 11x–y=–3
=mclm=
Answer:
1.Line
2.A
3. c
4.2
5.2
6. a
7.A
8.Slope
9.C
10.B
11.D
Step-by-step explanation:
Write two expresiones that are equivalent to -5/4x - 3/4
Answer:
Two expressions that are equal to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex] is -([tex]\frac{5}{4} x + \frac{3}{4}[/tex]) and [tex]\frac{1}{4}[/tex] (-5x - 3)
Step-by-step explanation:
Both expressions use the distributive property and take out -1 and [tex]\frac{1}{4}[/tex] from each expression to form equivalent expressions to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex].
What does 2.8- 4.4n- 2n + 7 equal?
Answer:
2.8- 4.4n- 2n + 7 = -6.4n + 9.8
Step-by-step explanation:
combined like term:
-4.4n - 2n = -6.4n
2.8 + 7 = 9.8
so all you do is combined together and got -6.4n + 9.8
i believe it equals 9.8-6.4n
sorry, im not very good at explaining how i solved it!! D:
but i hope this helped you out :)
h is 60% of m.
Also, r is 75% ofm.
Work out h as a percentage of r.
Answer:
h=0.6m
r=0.75m
h=0.6m/0.75m*100 percent of r.
h=6000/75% of r
h=80% of r
Step-by-step explanation:
The expression of h as a percentage of r would be as; 80% of r.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
WE are given that h is 60% of m.
Also, r is 75% of m.
WE need to find out h as a percentage of r.
Therefore, h=0.6m
r=0.75m
Now we can write as;
h = 0.6m/0.75m x 100 percent of r.
h = 6000/75% of r
h = 80% of r
Hence, the expression of h as a percentage of r would be as; 80% of r.
Learn more about percentages;
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How are the triangles congruent? A) not congruent B) ASA C) SAS D) AAS
Answer:
A) not congruent. You only know one side and one angle to be congruent.
Step-by-step explanation:
pls help me with this multiple choice !
Answer:
Step-by-step explanation:
Cdd
Answer:
B
Step-by-step explanation:
[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]
Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 15 more problems. Over the two
days, a total of 24 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on
Monday?
A. 15x=24
B.24+x=15
C. x+15=24
D.x-15=24
Answer:
C
Step-by-step explanation:
We know that there were 24 questions in the 2 days
And we know that tuesday had 15 more question.
That means Monday had "x questions" + the 15 on tuesday to get 24 in total.
Simplify.
56bc
64cd
I need ASAP
Answer:
8c(7b + 8d)
Step-by-step explanation:
Supposing that you are ADDING these terms, you have 56bc + 64cd. This can be factored as follows: 56bc + 64cd = 8c(7b + 8d)
PLLLLZxxXXZZ I REALLY NEED HELP DONT ANSWER RANDOM THINGS PLZ
Answer:
its B
Step-by-step explanation:
Answer:
i got A for both of them ^^
for #1 you would do 8(1/2÷2)-(1/4+4)
and for #2 its 7(2.5) - (12/3+6)
Which expression is equivalent to 2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)?
Answer:
31m2−30.2m+4.9
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)
Remove the parenthesis.
2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m
2.2m² - 14m - 4.9 + 28.8m² - 16.2m
Combine the like terms.
31m² - 30.2m - 4.9
Thus,
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
Learn more about expressions here:
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The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was the car worth when she bought it?
Answer
$23,333
Step-by-step explanation:
100% - 10% = 90%
90% = 0.90
21000/.90 = $23,333
Z+br=p if you are solving for b
Answer: b=p/r-z/r
Step-by-step explanation:
make sure the p/r is a fraction and so is z/r. p goes on top r goes on bottom, minus z over r