Answer:
x>2
Step-by-step explanation:
1) 6x+3 > 15
2) 6x > 15-3
3) 6x > 12
4) x > 12÷6
5) x > 2
An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
The relationship between airplane 1 and airplane 2 is an illustration of objective function
14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
How to determine the number of each type of airplane?Represent P1 and P2 with x and y, respectively.
From the question, we ave have the following parameters:
x y Minimum
First class 20 18 400
Tourist 50 30 900
Economy 110 44 1500
Cost 10000 85000
So, the objective cost function to minimize would be:
C = 10000x + 8500y
And the constraints are:
20x + 18y ≥ 400
50x + 30y ≥ 900
110x + 44y ≥ 1500
x, y ≥ 0
Next, we plot the graphs of the constraints
From the graph (see attachment), we have the following feasible solutions
(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}
Substitute these values in the objective function.
C(5,22) = 10000 * 5 + 8500 * 22 = 237000
C(9,13) = 10000 * 9 + 8500 * 13 = 200500
C(14,7) = 10000 * 14 + 8500 * 7 = 199500
The minimum value is:
C(14,7) = 199500
Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
Read more about objective function at:
https://brainly.com/question/16826001
Hello can someone please help me with this
Answer:
c)
Step-by-step explanation:
my guess is if she needs 1.04 tablets a day, and 1 tablet is closer to that than any other option listed
6
What number should the numerator and denominator of be multiplied by to show that is equivalent to 24 22
3
4
12
36
Answer:
The answer is 12
6×12= 24
6×12=72
Multiple choice what is -1.8 - 3.9=
Answer:
1. -5.7
Step-by-step explanation:
When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.
Just so you can make sure your answers are correct for the next ones:
2. -2
3. -4.4
What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2
Step-by-step explanation:
for a quadratic equation
y = ax² + bx + c
the x value for the axis of symmetry is
x = -b/(2a)
in our case
y = 2x² - 4x + 5
a = 2
b = -4
x = - -4/4 = 4/4 = 1
x = 1 is the correct answer.
cost of 1 almirah is=$2345
what is the cost of 12 such almirah?
Answer:
28140Step-by-step explanation:
We can applyUnitary method to solve this :-cost of 1 almirah = $ 2345
therefore,cost of 12 such almirah = 2345 x 12.
= $28140...ans
Hope it helps you!!shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ2
Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?
Answer:
$11091.23
Step-by-step explanation:
Reword the situation:
She purchased a car for 18791 dollars 39 months ago.
As the 39 months passed she has been paying 197.43 a month.
How much does she still owe for her car?
First find out how much she's paid so far.
For 39 months she has been paying 197.43 a month
So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars
Now subtract amount she's paid so far from total price of car.
18791 - 7699.77 = 11091.23
She still owes 11091.23
Add.
5/6 + 2 3/4
Enter the sum in the box as a mixed number in the simplest form.
Answer:
7 1/
6
≅ 7.1666667
Step-by-step explanation:
Hope this helps :)
i think the answer is 4 7/12
Helppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
just find a new photo
what is 42=-7(z-3)Z=
Answer:
42=7z^2+21z
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
42=-7(z-3)
42=-72-21
+21 +21
63/-7=-72/7
z=-9
correct?////////////////
Answer:
No solution
One solution
Many solutions
One solution
Step-by-step explanation:
Let's use y = mx + b
m = coefficient (or slope)
b = constant ( or y-intercept)
If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross
If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution
Equal coefficients and constants is correct, there would be infinite solutions
Different slopes and different y-intercepts would make them cross randomly one, so one solution
Hope this helped! Comment if it does or not :)
i still need help finding angle 1 and 2
pls answer this .............
Answer:
Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always
Step-by-step explanation:
3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.
2x + 2x + 80 = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 25º
so then:
2x = 2*25
2x = 50º
and:
2x + 80 = 50 + 80
2x + 80 = 130º
(I am giving branlest) (plz help only if you understand )
Solve one seventh plus nine fourteenths equals blank
A ten fourteenths
B eleven fourteenths
C ten sevenths
D eleven sevenths
Answer:
its 11/14 so its B hope this helps
Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33
Linear equations
Answer:
thanks for the points bye bye man is well with you and your family a very happy and prosperous New year
Step-by-step explanation:
thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in
thanks for the points bye bye man
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
The slope intercept form of a linear equation is given by AX true or false
hi there please explain how to solve or factorise this as i dont know the formula plus how to do ?:)
(x^2+1)?
Steps:
Writing down the equation. x^2 + 1 = 0.Subtract 1 from both sides. x^2 = -1Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.(x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.Hello,
We cannot factorize this binomial expression using normal factorization method.
if you have studied complex numbers method, then you can solve.
Here are the steps :-
[tex]{x}^{2} = (x)(x)[/tex]
[tex]→1 = (i)( - i)[/tex]
Now multiply,
[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]
[tex]→(x + i)(x - i)[/tex]
Therefore, the factors are (x+i)(x-i) :-
[tex]→ {x}^{2} = (x + i)(x - i)[/tex]
Can someone help me with this question?
Answer:
4.39%
Step-by-step explanation:
- chefs/head was facing the larger percent decrease
- by this much:
[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]
Pls help I am desperate
follow the steps shown on the photo
9514 1404 393
Answer:
7/5x -1/3
Step-by-step explanation:
We assume you want to simplify this expression.
[tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]
_____
Additional comment
2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.
Joy has ₱500.00 to spend for food. She spent ₱98.75 on Monday, ₱73.75 on Tuesday and ₱50.25 on Wednesday. How much money was left? with solution pls
Answer:
₱277.25
Step-by-step explanation:
₱500.00 - ₱98.75 - ₱73.75 - ₱50.25 = ₱277.25
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
Solve for t in the following equation.
10 + 4–2 = 2–2( + 4)
A. =−1 B. =−35
C. =35
Answer:
the answer would be 35...
Step-by-step explanation:
Dont know how to explain it on here
A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?
Answer:
Step-by-step explanation:
$20 / 5 kg = $4 / kg
$2.50 / 0.5 kg = $5 / kg
the big bag is a better deal
What is the value of x? Enter your answer in the box. X=
Check the picture below.
Answer:
x=50
Step-by-step explanation:
1. equal the equations to each other: 2(x+10)=3x-30
2. distribute the 2 to x+10: 2x+20=3x-30
3. subtract 2x from both sides, and add 30 to both sides: x=50
Determina el resultado de la siguiente operación -2 -7 -9
Answer:
Step-by-step explanation:
(43)*(29)
explicación paso a paso:
en una operación matemática (*) se denomina como (×)
(43)*(29)=
43×29
______= 1,274
Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE
Answer:
12.08-1.42=10.66
it takes 10.66 minutes on Thursday to run a mile
When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer
Answer:
The divisor is called a factor of the dividend.
Step-by-step explanation:
Hope this helps
(Brainliest is appreciated)
Answer:
If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.
Step-by-step explanation:
Hope this helps :)
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97