Given:
Capacity of jet plane = 200,000 liters of fuel
Fuel used during flight = 130,000 liters
To find:
The percentage of the fuel capacity it uses on this flight.
Solution:
According to the question, we need to find 130,000 is what percent of 200,000.
[tex]\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100[/tex]
[tex]\text{Required percentage}=\dfrac{130000}{200000}\times 100[/tex]
[tex]\text{Required percentage}=65[/tex]
Therefore, the jet plane uses 65 percent of fuel capacity during flight.
If there were 9 apples and John ate 8 of them, then went to the supermarket to buy another apple. How many apples does John have?
Answer:
1 apple
Step-by-step explanation:
9 apples - 8 apples, so there is one apple left, but it is not John's apple, and he goes to the store to buy one so now he has one. :)
A recipe includes 9 cups of flour and 3 4 cup of butter. Write the ratio of the amount of flour to the amount of butter as a fraction in simplest form.
Answer:
9:3/4
Step-by-step explanation:
Answer: the answer is 12
Step-by-step explanation:
you need to croos at your denmator add your knew one then when you multiply you divide the two numbers.
two step equation -5=d/4+3
Answer:
If you are looking for d the answer is -32.
Step-by-step explanation:
-5=d/4+3
-3 -3
(4)-8=d/4(4)
-32 =d
-2a + 3 = 30-12 what does that equal ?
Now use decimal numbers to write an expression that represents the length of the walls that Seth measured.
Answer:
3.5 + (22.75 x 2) + 58
Step-by-step explanation:
Joshua was offered a job that paid a salary of $77,500 in its first year. The salary was set to increase by 2% per year every year.
If Joshua worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole
number?
Answer:
if you want it as dollars and cents it is $77.50 but in nearest whole number it would be 78 dollars
Step-by-step explanation:
step 1: multiply the 2 by 5 and you get 10%
step two: you put 10 over 100 and multiply 77,500
10/100 x 77,500/1= $77.50
but when you roung it off you get 78 dollars
Answer: joshua earned $403,313 over 5 years
Step-by-step explanation:
What is the Sum of (2n^−5n−6)+(−n^2−3n+11)?
Answer:
n^2-8n+5
Step-by-step explanation:
The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6. What is the equation for the function g(x)
Answer:
A
Step-by-step explanation:
What is the solution to the following system of equations?
4x + 2y = 18
x - y = 3
(-4,-1)
(1.4)
(-1,-4)
(4.1)
Answer:
(4,1)
Step-by-step explanation:
hope that can help!!
What is the LCD of 20 and 12?
Answer:
60
Step-by-step explanation:
(9x-4y) x (-2) + (3x+2y)
Answer:(3x-2y)(3x+2y)
Step-by-step explanation:
IT is this one
Answer:[tex]-18x^{2} +8yx+3x+2y[/tex]
Step-by-step explanation:
Steve made $50 raking leaves and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Answer:
Step-by-step explanation:
75+50= 125
125*60%= 75 to his mother.
Answer:
Steve gave $75 to his mother.
Thus, Steve gave $75 to his mother.
QUICK HELP PLEASE!!
AABC has vertices A(0, 10), B(8, 11), and C(6,3). Which coordinate proof correctly
shows that AABC is a scalene triangle?
Answer: AC= 85 BC= 68 and AB=65 The sides of the triangle are all of different lengths which means that ABC is a scalene triangle.
Step-by-step explanation: A scalene triangle only has different lengths! :)
Plssss helppppp?????
Answer:
B and D
Step-by-step explanation:
0.6D & d + 0.6d
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
87= 5x - 13
(Worth 10 points)
Answer:
x=20
Step-by-step explanation:
87=5x-13
100=5x ( add 13 on both sides)
x=20 ( divide by 5 on both sides)
Hope this helps plz mark brainliest :D
Please Help Me ASAP I Need Real Help
The cost of two pants and four shirts is $55.85. If a pant costs $7.25 more than a shirt, find the cost of a pant and a shirt. Estimate to the nearest whole number.
Cost of a shirt is $6 and cost of a pant is $13
Cost of a shirt is $7 and cost of a pant is $14
Cost of a shirt is $8 and cost of a pant is $14
Cost of a shirt is $7 and cost of a pant is $13
Answer:
B
Step-by-step explanation:
55.85 divided by 7.25 is 7. something sooooo if pants cost 7 dolars more thats 14
The cost of a shirt is $7 and the cost of a pant is $14.
The answer is option B.
What is an example of a word problem?
Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?
Learn more about Word problems here: brainly.com/question/13818690
#SPJ2
PLEASE HELP 20 POINTS. Select Yes or No to indicate whether a zero must be written in the dividend to find the quotient.
1.4/0.05 {select}
2.88/0.6 {select}
2.61/0.3 {select}
Answer:
Yes
Step-by-step explanation:
Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, to find the slope of a line that passes through the points (–3, 8) and (4, –6). giving 100 points
Answer:y=-2x+11 hope this helps
Step-by-step explanation:
Answer:
y=-2x+11
Step-by-step explanation:
can someone answer this pls
Find the angle measures. Justify your responses. Given: a||b, m∠6=128 Find: m∠1,m∠3
Answer:
Angle 1 = 52
Angle 3 = 52
Step-by-step explanation:
Use the theorems
Line b is a straight line which is 180 degrees.
Angle 5 plus angle 6 need to equal 180
Angle 5 = 180 - 128 = 52
Angle 1 is the same as angle 5 because they are located in the same place on a straight line.
Angle 1 = 52 degrees.
Angle 3 is a vertical angle to angle 1, which means they are identical so angle 3 is also 52 degrees.
Joanne drinks a pint of milk. Debra drinks a litre of milk. Who drinks more?
Answer:
Debra drank more
Step-by-step explanation:
1pint = .4 liters
Jenna bought a jacket for $85.75. Agnes spent 2.20 times as much on hers. How much did Agnes spend?
answer:
188.65
Step-by-step explanation:
Answer:
188.65
Step-by-step explanation:
if you do 85.75*2.20 because it says times so that means multiply.
Sunscreen is priced at $6 per bottle plus 8% tax. If Tony purchases TWO bottles of sunscreen and pays with a $20 bill, how much change will he receive?
Answer: $9.20
Step-by-step explanation:10 x 1.08 = 10.80. 20 - 10.80 is 9.20.
Help! Idk NOT know this will give crown
Answer:
40
Step-by-step explanation:
the triangle with the missing lenght is being multiplied by 8. 5 times 8 is 40. have a good day
Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink?
A. The burger cost $4; the drink cost $3.
B. The burger cost $2; the drink cost $4.
C .The burger cost $5; the drink cost $3.
D. The burger cost $3; the drink cost $2.
Answer:
A
Step-by-step explanation:
2(4)+4(3) =20
8+12=20 yes
--------------------------
2(4)+2(3)=14
8+6=14 yes
Answer:
2 burgers and 4 drinks= $20 while 2 burgers and 2 drinks=$14
if the burger cost was $2 and the drink cost was $4, Emily would've spent $20 while Deja would've spent $12, so B's wrong
if the burger cost was $5 and the drink cost was $3, Emily would've spent $22, so C's incorrect, too
if the burger cost was $3 and the drink cost was $2, Emily would've spent $14 and Deja would've spent $10 so D's false as well
Therefore A's correct
Step-by-step explanation:
the burger cost is $4 and the drink cost is $3, Emily spent $20 and Deja spent $14
t=total, bc= burger cost, dc=drink cost
Emily's Equation:
t= 2(bc)+4(dc)
t=2(4)+4(3)
t=8+12
t=20
20=20
Deja's Equation
t=2(bc)+2(dc)
t=2(4)+2(3)
t=8+6
t=14
14=14
What is y=4/5x+20 in standard form
Answer:
4x-5y=-100
Step-by-step explanation:
Answer:
y = 100
Step-by-step explanation:
Standard Form 1/5y-20=0
Evaluate [tex]\frac{u}{z} +xy^3[/tex], for u = 18, x = 8, y = 10, and z = 2.
PLEASE HELP WHAT IS THE GREATEST INTEGER THAT ALWAYS DIVIDES THE DIFFERENCE OF SQUARES OF ANY TWO POSITIVE ODD INTEGERS PLEASEEEE
An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 29 − 0.2x (for 0 ≤ x ≤ 145),
Answer:
a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26
b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.
Step-by-step explanation:
Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:
An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.
(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]
P(x, y, z) =
(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]
The explanation to the answers is now given as follows:
(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]
p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)
q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)
r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)
C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z
P(x, y, z) = profit function
x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively
Therefore, we have:
TR = Total revenue = px + qy + rz …………………………….. (1)
Substituting the relevant values into equation (1), we have:
TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z
TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2
Also,
P(x, y, z) = TR – C ……………………………………… (2)
Substituting the relevant values into equation (2), we have:
P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)
P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z
P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26
P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)
Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.
(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]
As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:
In America
From equation (3), we have:
Px = 24 – 0.4x = 0
Therefore, we have:
24 – 0.4x = 0
24 = 0.4x
x = 24 / 0.4
x = 60
In Europe
From equation (3), we have:
Py = 12 – 0.2y = 0
Therefore, we have:
12 – 0.2y = 0
12 = 0.2y
y = 12 / 0.2
y = 60
In Asia
From equation (3), we have:
Pz = 16 - 0.2z = 0
Therefore, we have:
16 - 0.2z = 0
16 = 0.2z
z = 16 / 0.2
z = 80
Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.
