Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
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.
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]
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.
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:
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.
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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.
How many significant figures are in the number: 800
Answer:
1
Step-by-step explanation:
The zeros after 8 are not significant.
2. What is the quotient if you divide 15 1/3 by 18/23
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.
take apart the addend to solve 48+23
Answer:
71
Step-by-step explanation:
just add the problem
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 .
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I need help with this question
PLS HELP 6th GRADE MATH!
Sheila can ride are bicycle 6,000 meters in 115 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. Sheila can ride her bicycle 800 meters in 2 minutes.
Answer:
false
Step-by-step explanation:
Every 1 inch of vertical rise, 12 inches ramp length is required. What is the ramp length required for the rise of 10.5?
You will require 126 inches of ramp for a rise of 10.5
Step-by-step explanation:Evaluate the word problem
If your verticle rise is 10.5 inches for every 1 inch of that 10.5 you have 12 inches. This is written into an equation as follows;
x: How many inches of vertical rise you have,
y: Length of ramp required
y = 12x
Solve:
y = 12x
y = 12(10.5)
y = 126 inches of ramp
Hope this helps
which of the following is equivalent to (5) 7/3
Answer: D on edg
Step-by-step explanation: hope this helps :)
If jack age is 5 years, 4 months old and he is expected to live 79.7. years. How many more years is jack is expected to live?
The lengths of a side of a triangle are 12.1 inches, 11.28 inches, and 5.4 inches. What is
the perimeter of the triangle?
Answer:
28.78
Step-by-step explanation:
12.1+11.28+5.4=28.78
To find a perimeter, you would add up all of the sides. There are 3 sides so you would add them all up to get 28.78
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.
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:
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
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Kate has a negative bank account balance of $100. If she is depositing $5 a day , how long until she has a negative balance of only $30?
Answer:
14 days
Step-by-step explanation:
-100 +5+5+5+5+5+5+5+5+5+5+5+5+5+5= -30
A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value
Answer:
0.6
Step-by-step explanation:
5:3
x:1
3x=5
x=0.6
PLEASE ANSWER ASAP, ANYONE WHO WRITES A LEGITIMATE ANSWER WITHIN THE NEXT 10 MIN GET BRAINLIEST!!
write an equation of the line that passes through point P and is parallel to the line with the given equation P(-1, 3), y=4x-2)
Answer:2 then 8
Step-by-step explanation:wowowowowowow
A group of friends spent 52.50$ 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.
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.
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.
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.
f(x) = x² + x; f(1)??
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: