The maximum value of the objective function is 3080
The vertices of a feasible region are given as
(14, 2), (0, 9), (6, 8), (10, 3)
The objective function is given as:
[tex]\mathbf{P = 180x + 250y}[/tex]
Substitute the ordered pairs in the objective function
Point (14,2)
[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]
[tex]\mathbf{P = 3020}[/tex]
Point (0,9)
[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]
[tex]\mathbf{P = 2250}[/tex]
Point (6,8)
[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]
[tex]\mathbf{P = 3080}[/tex]
Lastly, we have point (10,3)
[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]
[tex]\mathbf{P = 2550}[/tex]
The maximum value of P is calculated to be 3080.
Hence, the maximum value of the objective function is 3080
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Answer:
3080 is the answer ^
Step-by-step explanation:
Tickets for a concert cost $8 online plus a $3
processing fee. Tickets for the same show at the
door cost $9 each. How many tickets can you buy so
that the online price and the door price are the
same?
Answer:
3 tickets
Step-by-step explanation:
8x+3 = 9x
x = 3
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
8) What are the measures of angles x, y, and z?
Step-by-step explanation:
y=55°(corresponding angles are equal)
x=55°(alternate angles are equal).
z+55°=180°
=180-55=z
z=125°
Answer:
x = y = z = 55°
Step-by-step explanation:
x = 55° (vertical angles)
y = 55° (corresponding angles)
z = 55° (corresponding with x -> z = x)
Aspherical model of planet Earth has a radius of 3 ft. What is the approximate volume of the model of planet earth? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Answer:
113.1
Step-by-step explanation:
Like and give 5 star rating
Which conditional statement is always logically equivalent to the inverse?
Converse
Conditional
Conjecture
Contrapositive
Answer:
Converse
Step-by-step explanation:
Converse
Ghhhhhhhnbb tggy
39.2 is 95 percent of what?
Which slope is perpendicular to slope m= 5/6
Answer:
-6/5
Step-by-step explanation:
The slope of perpendicular lines multiply to -1
5/6 * p = -1
Multiply each side by 6/5
6/5 * 5/6 * p = -1 * 6/5
p = -6/5
The slope of the perpendicular line is -6/5
4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
rate range
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
Write an equation in slope intercept form for the line that has a slope of 1/4 and passes through the point (0, -2)
Step-by-step explanation:
the general slope intercept formula is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-2 = (1/4)×0 + b
b = -2 (as expected)
the full line equation is
y = (1/4)x - 2
Nadia charges $6.00 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.
Suppose Nadia raises her rate by $0.60 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Complete the explanation and give your answer.
Answer:
35 hours
Step-by-step explanation:
She would need to work for 35 hours.
She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
Answer:
35 hours
Step-by-step explanation:
In the first month she worked for 38.5 hours
Multiply that by $6 and we that she made 231 dollars
231 divided by here new rate of $6.60 would be 35 hours
Please mark brainliest
Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.
Answer:
d
Step-by-step explanation:
Answer:
Hint #33 / 3
The equation is y=\dfrac{1}{2}x -2y=
2
1
x−2y, equals, start fraction, 1, divided by, 2, end fraction, x, minus, 2.
Step-by-step explanation:on kan
El siguiente cuerpo es CUARTA PARTE de un cilindro. ¿Cuál es el volumen? r = 6 cm; h = 9 cm
Answer:
es 54 espero que esto ayude adiós!
Step-by-step explanation:
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.
El volumen de un cilindro es:
Volumen = πr²h
Given that: r = 6 cm; h = 9 cm;
Volumen = πr²h = π(6)²(9) = 1018 cm³
El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³
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fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
Missing reasons are:
2. Reflexive3. Given4. Given5. Definition of bisects6. Third angle theorem7. ASA#2
Reflexive sides#3
Already given in question#4
Given in the question#5
By bisector definition#6
Third angle therom#7
Angle-Side-AnglePlease help, thank you in advance
Answer:
Solution
9
1
3
6
Step-by-step explanation:
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)
Answer:
y=4x-5
Step-by-step explanation:
Help!
Algebraic Relationship
y= x/4-1
32, 7
0, - 1
20, 4
You just plug in the numbers and solve
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
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Help now please now 50 points and brainliest
Answer:
F=(9C+160)/5
Step-by-step explanation:
C=5(F-32)/9
Simplify to 5F-160/9=c
multiply by 9 on both sides : 5F-160=9C
add 160 to both sides: 5F=9C+160
Divide by 5 on both sides: F=(9C+160)/5
Simplify: F=9/5c+32
Answer:
[tex]F=\frac{9C}{5}+32[/tex]
Step-by-step explanation:
The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.
[tex]c=\frac{5(F-32)}{9}[/tex]
To do this we first need to distribute 5.
[tex]C=\frac{5F-160}{9}[/tex]
Divide 5F-160 by 9.
[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]
We can then swap sides to make it easier.
[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]
We then add [tex]\frac{160}{9}[/tex] to each side.
[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]
We can then find F by multiplying by 9/5 or dividing by 5/9.
[tex]F=\frac{9}{5}(C+160/9)[/tex]
We then can simplify by multiplying.
[tex]F=\frac{9C}{5}+32[/tex]
:D
Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.
Answer:
The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).
Hope this helps! :)
Answer:
Yes
Step-by-step explanation:
The equation y + 1 = 5(x + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.
Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour how long does it take Jada to walk 12 miles
Answer:
i think it is 234 i am not sure
Step-by-step explanation:
Solve the system of equations by elimination:
3x+y=5
2x-2y=-2
NO LINKS PLEASE
Answer: (1, 2)
x = 1 and y = 2
Step-by-step explanation:
3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10
2x -2y = -2 => + 2x - 2y = -2
8x = 8
**divide both sides by 8 => x = 1
*** substitute 1 for x in either equation to get y
3(1) + y = 5
-3 -3
y = 2
Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?
Answer:
2:5
Step-by-step explanation:
2 cats per 5 dogs
Help me plsssssssssssssssssss
Answer:
2 meters = 2000 millimeters
find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100
Answer:
S=2+4+6+…+100
S=100+98+96+…+2
Adding the two yields
2S=102+102+102+…+102 = 50(102)
Thus S=50(51)=2550
The width of a rectangle is 3 inches less than its length. The perimeter is equal to 94 inches, what is the length in inches?
Answer:
l=44in
Step-by-step explanation:
Using the formula
P=2(l+w)
Solving forl
l=P
2﹣w=94
2﹣3=44in
PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE
Answer: [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
- t / u + vw (plug the number in)
= - 2 / (-2/3) + (-1)(-1/3)
= 2/ (2/3) + 1/3
= 2(3/2) + 1/3 (the 2 were being cancel)
= 3 + 1/3
= [tex]3\frac{1}{3}[/tex]
Answer:
A. 3 1/3Step-by-step explanation:
Given:
t = 2, u = -2/3, v = - 1, w = - 1/3Find:
- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3Correct choice is A
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
Find the measure of angle x in the figure
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
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