To determine the number of empty seats carried by each airline, we can set up a system of equations based on the given information.
Let's denote the number of empty seats for United Continental as "u," American as "a," and Southwest as "s." The system of equations will be u + a + s = 250 (equation 1) and 14.9u + 14.6a + 12.4s = 106,095 (equation 2). Additionally, it is given that u = 3a.
Equation 1 represents the total number of empty seats, which is 250. It states that the sum of the number of empty seats for each airline is equal to 250.
Equation 2 represents the total cost incurred by the airlines for the empty seats, which is $106,095. It states that the cost of u empty seats for United Continental (at a rate of 14.9¢ per seat-mile), plus the cost of a empty seats for American (at a rate of 14.6¢ per seat-mile), plus the cost of s empty seats for Southwest (at a rate of 12.4¢ per seat-mile) is equal to $106,095.
We are also given that u = 3a, which means the number of empty seats for United Continental is three times the number of empty seats for American.
To solve this system of equations, we can use technology such as a calculator or computer software. By solving the system, we find that u = 13,095, a = 4,365, and s = 70.
Therefore, United Continental carried 13,095 empty seats, American carried 4,365 empty seats, and Southwest carried 70 empty seats on their flights.
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Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
What is 7.0483 rounded to the nearest hundredth?
Answer:
7.080
Step-by-step explanation:
The rounding off to the number nearest hundredth will be 7.048.
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number will be rounded off as below:-
7.0483 = 7.048
Therefore, the rounding off to the number nearest hundredth will be 7.048.
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is y = -x a proportional relationship
Answer:
For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.
Step-by-step explanation:
Answer:
Yes kdsjsbahajajsjsbsbsbsnsn
solve for x,x(3+9)=72
Answer:
x(3+9)=72
or, x(12)=72
or, x=72÷12
or, x = 6 ans.
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
x(3+9)=72
Step 1: Simplify both sides of the equation.
12x=72
Step 2: Divide both sides by 12.
12x/12=72/12
x=6
Answer:
x=6
para que sirve el álgebra
Answer:
si mamacita
Step-by-step explanation:
El álgebra es un tipo de matemática. Se trata de ecuaciones y resolución de incógnitas. El álgebra se usa para calcular números basados en una ecuación. ¡Espero que esto ayude!
Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time to
the nearest hour, about how many hours did it take Kimberly to run both races?
Answer:
It took her approximately 6.1 hours to run both races.
Step-by-step explanation:
3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
A =
B =
Answer:
A = 1/5
B = 2/15
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Step-by-step explanation:
Answer:
A = 1/5
B = 2/15
Step-by-step explanation:
1.) 5n + 44/n, (n = 11)
What is the area of this?
Answer:
49 cm²
Step-by-step explanation:
Complete the equations so that the solution of the system of equations is (-3, 5)
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
Line segment JK has endpoints at J(-3,4) and K(3,6). Which is an equation of a line that is perpendicular to line segment JK and passes through the point (3,-12)
Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.
Describe how an equation ditt
from an expression.
7. 24 less than the number of snakes is 35.
Answer:
idek
Step-by-step explanation:
Reasoning. A salesperson's commission rate is 6%. What is the commission from the sale of $35,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
Answer:2,100
Step-by-step explanation:
Find the tangent of the larger acute angle in a right triangle with side lengths 3, 4, and 5. Write your answer as a fraction
Answer:
4/3
Step-by-step explanation:
The larger accute angle in a 3 4 5 right triangle will always be the angle in between 3 and 5. Tangent theta = opposite side ÷ adjacent side, so 4/3.
The tangent should be in fraction is [tex]4\div 3[/tex]
Calculation of the tangent:Since in a right triangle with side lengths 3, 4, and 5
Here there is the larger acute angle in the 3, 4 and 5 so it should be lies between 3 and 5
So, it should be like
= opposite side ÷ adjacent side
= [tex]4\div 3[/tex]
Hence, The tangent should be in fraction is [tex]4\div 3[/tex]
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Which expression represents the algebraic phrase "nine times a number plus thirteen"? 9 minus y + 13 9 + y minus 13 9y + 13 13y + 9
Answer:
dddddddddddddv
Step-by-step explanation:
Identify these foil solutions by using the screenshots below!
Hope it helps and is correct!
Someone please help!
Answer:
12 and 21
Step-by-step explanation:
PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
can someone please help me, i have to turn this in soon.
Explain the first steps to factoring when the leading coefficient is 1.
a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.
Answer:
In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.
Find the ULE in the triangle below
Where is the triangle?
Steps for -3(x+2)=4+2x
Answer:
x = -2
Step-by-step explanation:
-3(x + 2) = 4 + 2x
= -3x + -6 = 4 + 2x (Distribution: -3)
= -3x + -2x - 6 = 4 (Moving the variables to the left and change the signs)
= -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)
= -3x - 2x = + 6 --> (Collect like terms)
= -5x = 10 (Then add)
= (divide -5x = 10 by -5)
= x = 2
Solve 5x=45 using the opposite operation
Answer:
the answer is 8
Step-by-step explanation:
5 times 8 =45 5 time table
Answer:
9
Step-by-step explanation:
8x9=45
sole this question ?
30÷5+(9×5)-3²=
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
42
Step-by-step explanation:
30/5 + ( 9)(5)−32
= 6 + ( 9)(5)−32
= 6 + 45−32
= 51 − 32
= 51 − 9
= 42
hope I helped!!
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
What conclusion can you make about
three lengths that do not make a
triangle?
Step-by-step explanation:
if the 2 shorter sides add up to less than the larger side, then it's not a triangle.
A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?