Answer:
The total cost will be 2 adult ($16), and 4 children ($8)
Karen flies her Cessna Skyhawk aircraft 360 miles with a tailwind of 10 miles per hour in the same time it could fly 300 miles with a headwind of 10 miles per hour. Find the speed of the aircraft.
Answer:
The speed of the aircraft is 126.667 miles per hour.
Step-by-step explanation:
Let suppose that aircraft travels at constant speed. From Mechanical Physics, we understand speed as travelled distance divided by time. In this case, the absolute speed of the aircraft is the sum of wind speed and speed of the aircraft relative to wind. That is:
Tailwind (Wind flows in the same direction of aircraft)
[tex]t = \frac{s_{T}}{v_{W,T}+v_{A/W,T}}[/tex] (Eq. 1)
Headwind (Wind flow in the direction opposite to aircraft)
[tex]t = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 2)
Where:
[tex]s_{T}[/tex], [tex]s_{H}[/tex] - Travelled distances on tailwind and headwind conditions, measured in meters.
[tex]v_{W,T}[/tex], [tex]v_{W,H}[/tex] - Tailwind and headwind speeds, measured in meters per second.
[tex]v_{A/W,T}[/tex], [tex]v_{A/W,H}[/tex] - Relative speeds of aircraft relative to tailwind and headwind, measured in meters per second.
We proceed to equalize both expressions to eliminate time:
[tex]\frac{s_{T}}{v_{W,T}+v_{A/W,T}} = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 3)
If we know that [tex]s_{T} = 360\,mi[/tex], [tex]s_{H} = 300\,mi[/tex], [tex]v_{W,T} = 10\,\frac{mi}{h}[/tex], [tex]v_{W,H} = -10\,\frac{mi}{h}[/tex] and [tex]v_{A/W,T} = v_{A/W,H}[/tex], then:
[tex]\frac{360}{v+10} = \frac{300}{v-10}[/tex]
The relative speed of the aircraft is now cleared:
[tex]360\cdot (v-10)=300\cdot (v+10)[/tex]
[tex]360\cdot v-3600 = 300\cdot v +3000[/tex]
[tex]60\cdot v = 7600[/tex]
[tex]v = 126.667\,\frac{mi}{h}[/tex]
The speed of the aircraft is 126.667 miles per hour.
PLEASE ANSWER ASAP, ANYONE WHO WRITES A LEGITIMATE ANSWER WITHIN THE NEXT 10 MIN GET BRAINLIEST!!
write an equation of the line that passes through point P and is parallel to the line with the given equation P(-1, 3), y=4x-2)
Answer:2 then 8
Step-by-step explanation:wowowowowowow
How many significant figures are in the number: 800
Answer:
1
Step-by-step explanation:
The zeros after 8 are not significant.
Convert 10 pints to quarts.
Use the conversion rate 1 quart = 2 pints
Help
Answer: Your answer should be 5 quarts.
Step-by-step explanation:
After conversion 10 pints will be equal to 5 quarts .
Given,
Convert 10 pints to quarts.
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now,
Here 10 pints to quarts .
1 quart = 2 pints
Hence ,
10 quarts = 5 pints .
Know more about unit conversion,
https://brainly.com/question/14614674
#SPJ6
f(x) = x² + x; f(1)??
90% off
original price!
The original price of a calculator is $40. What is the sale price?
Answer:
that answer is 4
Step-by-step explanation:
divide the percent by 40 and you get 4
Answer:
it is 4 dollars off
Step-by-step explanation:
40/10=4 and since it's 90% off, we multiply 4 x 9.
4 x 9 = 36. 40 - 36 = 4.
I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.
Answer:
thank you
Step-by-step explanation:
A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.
Answer: 8.75t = c
Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.
7th grade math help me plzzz
Answer:
[tex]b. \: \frac{1}{10} ......series[/tex]
Answer please thanks for answer
Answer: 15.8
In this number, .8 is the tenths place. So round it to this number.
.839 rounded to nearest tenth = .8
Your result should be 15.8.
15.839 rounded to the nearest tenth is 15.8.
PLSSSS What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
8.
The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
Kara has 5 exams scores 58,73,85,83, and 79 in her biology class. What score does she need on the final exam to have a mean grade of 70
Her final exam will be her 6th exam. To determine the her final exam score we can use this equation:
Mean = All scores/6
70 = (58 + 73 + 85 + 83 + 79 + x )/6 ⇒ x stands for the final exam mark
70 = 378 + x /6 ⇒ Multiple both sides by 6 to cancel it out
420 = 378 + x ⇒ Subtract 378 from both sides to isolate x
420 - 378 = x
42 = x
Therefore, she must get at least 42% on her final to maintain a 70% average.
I need help with this question
there were 3,905 more hits on the schools website in january than february. february had 9,854 hits, how many hits did the schools website have during both months
Answer:
If im not wrong the answer is 23,613.
Step-by-step explanation:
9,854+3,905=13,759+9,854=23,613.
Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2
Answer:
d
Step-by-step explanation:
add all together equals 522
522/10 = 52.2
The mean absolute deviation of the data set of 15.2
What is mean absolute deviation?Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Given is a data set, we need to find the mean absolute deviation for the group,
So,
The mean = 38+45+76+93+50+54+29+44+62+31 / 10
= 522/10 = 52.2
Now finding the absolute deviation =
|52.2-38| = 14.2
|52.2-45| = 7.2
|52.2-76| = 23.8
|52.2-93| = 40.8
|52.2-50| = 2.2
|52.2-54| = 1.8
|52.2-29| = 23.2
|52.2-44| = 8.2
|52.2-62| = 9.8
|52.2-31| = 21.2
The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10
= 152.4 / 10
= 15.24
≈ 15.2
Hence, the mean absolute deviation of the data set of 15.2
Learn more about mean absolute deviation, click;
https://brainly.com/question/10528201
#SPJ2
Help meeeeeeeeeeeeee with thisssss please? i’l give brainiest or whatever it is called .
Answer:
16
Step-by-step explanation:
the amount of peppers are double the amount of servings, 8x2 = 16
Answer:
16
Step-by-step explanation:
8-4/ 4-2= 2
8 x 2= 16
2. What is the quotient if you divide 15 1/3 by 18/23
ANSWER PLEASE 100 POINTS
Answer: multiplication property of equality
Step-by-step explanation:
in the equation 2(x-3)=18
it should be 2x-6=18
x=12 by the way
[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c}\boxed {\bf {Statement}} & \boxed {\bf {Reason}} \\ \\\\ \text{2(x-3)=18} & \sf{Given} \\\\ \text{ 2x-6=18} &\sf{Multiplication ~property~ of~ equality } \\\\ \text{2x=18+6}& \sf \\\\ \text{2x=24} &\sf{Addition~ property~ of~ equality }\\\\ \text{x=24/2} & \sf{Division~ property ~of ~equality }\\\\ \text{X=12} & \sf \end {array}}}\end{gathered}[/tex]
Solve for N.
5
6
15
N
Sean took out a loan for $1000. He repays $50 twice per month on the
loan. The amount of money Sean owes , y, is a function of the number of
months since he took out the loan, x. Write an equation to model the
situation.
which of the following is equivalent to (5) 7/3
Answer: D on edg
Step-by-step explanation: hope this helps :)
What is the answer for 7/10=z/8 please explain steps
Answer:
5.6
Step-by-step explanation:
Step 1:
7/10 = z/8 Equation
Step 2:
10z = 56 Multiply
Step 3:
z = 56 ÷ 10 Divide
Answer:
z = 5.6
Hope This Helps :)
At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
The function g(x) = –|x| is a transformation of the absolute value parent function. Which graph shows g(x)? Apex
Answer:
A
Step-by-step explanation:
Apex
A. The parent function reflect across x-axis.
What is Function ?A relation between set of inputs & set of outputs is called function. In a function, for each element of input set there is exactly one element of the set of outputs.
What is Parent function ?The simplest form of a family of functions is called the parent function. A family of functions always share same highest degree & shape.
What is Absolute value function ?If a function has an algebraic expression in absolute value symbols, then the function is called absolute value function.
How to describing the transformation ?
The parent function y = |x| always go downwards & hence the curve opened upward.
So, The parent function y = |x| reflect across x-axis.
Learn more about parent function here :
https://brainly.com/question/17079244
#SPJ2
Which number is greater than the absolute value of LaTeX: -\frac{3}{8}− 3 8?
Answer:
0.5
Step-by-step explanation:
We have to find a number which is greater than the absolute value of -3/8.
Absolute value of -3/8 = 3/8
3/8=0.375
Now, we have to find a number which is greater than 0.375
1/4=0.25
0.25 is smaller than 0.375
0.5 is greater than 0.375
also -5/8 and -1/8 are less than 0.375
Hence, the only number which is greater than the absolute value of -3/8 is:
0.5
Step-by-step explanation:
Hospital administrator Jake Rosen was recently convicted for fraud he committed against his employer, Cedar Hospital Systems. Over a period of six years, Jake allegedly made payments to a dummy company for maintenance charges while simultaneously running a scheme with maintenance contractors where he either paid them for work never performed or overpaid them for work. The skyscraper where Jake worked was only 10 years old. Maintenance charges rose from $5.2 million in 1994 to $16.4 million in 2000. It was worth noting that the judge on the case questioned whether Cedar Hospital Systems deserved less than full restitution for failing to notice the problem. However, it was determined that federal law on restitution does not allow such charges, so Jake Rosen will be making monthly payments toward the alleged $8 million he stole until he makes full restitution after leaving prison. He was able to quickly repay $3.2 million of the theft with assets recovered by the government, including two homes and a nice yacht. Not bad for a man who was supposed to be making $90,000 per year.
1. In what specific types of fraud was Jake Rosen engaged?
2. The judge questioned whether the hospital should be held partially responsible for not having de- tected the fraud. What could the hospital have done to prevent or detect the fraud earlier?
Step-by-step explanation:
Employee frauds are one of most common form of frauds which can be detected in a company. There can be many types or forms of employee frauds.
the major types are:
• Asset Misappropriation
• Bribery and Corruption
• Data theft
• Vendor Fraud
• Payroll Fraud
• Accounting Fraud
2. The hospital could have detected the fraud going on earlier if they had consulted the help of an audit firm this could have helped exposed the fraud earlier.
who has answer for key stone recovery packet ela 11th grade and geometry.
Answer:
Me I sent them to you already. emily
English is a West Germanic language first spoken in early medieval England which eventually became the leading language of international discourse in today's world.
2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103
Answer:
3.26 x 102
Step-by-step explanation:
10 squared is 100
3.26 x 100 = 326 because you move the decimal to the right 2 spots