An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

The speed of the plane in still air is ____ MPH and the speed of the wind is ____ MPH.

Answer:

-18

Step-by-step explanation:

-10 + |-4| - |-12|       Since there are the | |, then any negative number inside would become a positive as it will become its absolute value, which for -4, would be 4, because it is 4 spots away from the 0 on a number line and vice versa.

-10 + 4 - 12   Answering from left to right,

-10 + 4, if you would rather make it so they are both equal, you change the + to the opposite which would be - and change the 4 back to a negative because that is what it would be if you changed the equation to be subtraction instead to be easier as they would both be negatives now, so you would subtract -10 - -4 and get -6.

-6 - 12. Again, switch the - to the opposite, which is +, and then make 12 the opposite that it was before so they both share the same symbol, making it

-6 + -12, which would be -18.

Answer: 3.5

Step-by-step explanation:

To find the length of the missing leg, we need to use the Pythagorean Theorem (a^2 + b^2 = c^2 where c is the hypotenuse)

1) Plug in numbers

2^2 + b^2 = 4^2

2) Square

4 + b^2 = 16

3) Flip Equation and Subtract

16 - 4 = b^2

16 - 4 = 12

4) Square Root of 12

The square root of 12 is ~3.46, so you need to round to the nearest tenth, which is 3.5

Answer: 3/2 for improper fraction and 1 1/2 for a mixed number

Step-by-step explanation:

To plot the graph of equation 3(2x + 2) - (x − 4) < 18, we need to simplify the equation of inequality first which can be simplified as

3(2x + 2) - (x − 4) < 18

6x +  6 -x+ 4 < 18

5x + 10 < 18

5x <18 - 10

5x < 8

x < 8/5

x < 1.6

So,  we need to plot the line graph of the equation of  inequality x < 1.6 which is attached to the solution where Blue is marked or plotted in the graph, and also note that at 1.6 there is a hollow circular mark which resents the inequality

Correct question is plot the graph of equation 3(2x + 2) - (x − 4) < 18

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The survey results are most likely to be affected by non response bias.

Sampling bias is a form of bias wherein a sample is collected in such a manner that some members of the intended population have a lower or higher sampling probability than others.

Non-response bias is a type of a sampling bias that occurs when people are unwilling or unable to respond to a survey because of a factor that makes them differ significantly from the people who do respond to the survey. The difference between non-respondents and respondents is generally an influencing factor for the former's lack of response. Non response error is very common in mail surveys.

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The circumference and area of the circle are 13cm and 13cm^2 respectively

The formula for circumference of a circle is expressed as:

Circumference = 2πr

From the graph shown, we have the radius of the circle as 2 cm

Substitute the value into the formula

Circumference = 2 × 3. 142 × 2

Multiply through

Circumference = 12. 568

Circumference = 13cm

The formula for area of a circle is expressed as:

Area = πr^2

Substitute the value into the formula

Area = 3. 142 × (2)^2

Area = 3. 142 × 4

Area = 12. 568

Area = 13cm^2

Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.

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5x-16=5+4x

    +16+5

   5x=21+4x

  -4x       -4x

     x= 21

Step-by-step explanation:

A. The probability of his character casting a spell will be 1/6.

B. The odds against choosing a green block is 2/9.

A. It should be noted that probability has to do with the chance of a particular thing happening.

In this case, the odds in favor of his character casting a spell are 1/6, therefore the probability of his character casting a spell is 1/6.

B. When a child has a box full of colored building blocks and he chooses one block without looking, the probability of choosing a green block is 7/9, therefore, the odds against choosing a green block will be:

= 1 - P(green block)

= 1 - 7/9

= 2/9

Therefore, the odds against choosing a green block will be 2/9.

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Answer:

119

Step-by-step explanation:

76,108,116,122,127,135

if you cross them out you are left with 116 and 122, when you have 2 numbers you add them together then divide by 2 so that would give 119

hope this works :)

[tex] \frac{108 + 127}{2?} = 117.5[/tex]

Answer:

median:11

mode:11

mean:11.143

range:

Step-by-step explanation:

median is the middle number so you first arrange the numbers in an ascending order after rounding off each number. Then you're gonna cancel one number from the left and one from the right until they remain two numbers then you add them and divide by 2 to get 11

I'm not sure about mode coz it's the most repeated number

mean is where you add all numbers and divide them by the total amount of numbers.

I tried!

If Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length

Given,

The total length of metal post= [tex]\frac{1}{3}[/tex] foot

Convert foot to inches

1 foot = 12 inches

[tex]\frac{1}{3}[/tex] foot= 4 inches

The length of each disc of metal = [tex]\frac{4}{7}[/tex] inches

Number of metal post that he can cut = Total length of metal post / The length of each disc of metal

[tex]=\frac{4}{\frac{4}{7} } \\=4(\frac{7}{4})\\ =7[/tex]

Hence, if Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length

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Answer:

z>7.67

Step-by-step explanation:

-9>3z+14

3z<-14-9

3z<-23

3z>23

z>(23÷3)

z>7.67

Answer:

y = 4x - 27

Step-by-step explanation:

The point (8,5) contains and x and y on the line.  The x is 8 and the y is 5.  Using this and the slope given we can write the equation.  We need to solve for b.

y = mx + b

5 = 4(8) + b

5 = 32 + b  Subtract 32 from both sides of the equation

-27 = b

y = mx + b

y = 4x - 27

Answer:

pls rate as brainliest

Step-by-step explanation:

y-y1=m(x-x1)

where y1=5,x1=8 and m=4

y-5=4(x-8)

y-5=4x-16

y=4x-16+5

y=4x-11

Answer:

Suri= 40.7   Baseball=C   19=19.417   20=11.167   Tens=6  Thousanths=9  Hundreths=7  Tenths=5     Write in standard form=82.007    4.567   72.85

Write in expanded form= 20+4+0.1+0.07   30+6+0.9    1+0.8+0.02+0.004

Step-by-step explanation:

i gotchu

Answer:

Step-by-step explanation:

-4 ≥ x

-0 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                 -4               -0

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{If John is currently 9 years old and we’re trying to figure out how old he will be}\\\text{in 20 years.}[/tex]

[tex]\text{Let us label your equation to:}[/tex]

[tex]\text{9 - a = 20 OR BETTER YET a - 9 = 20; your “a”-value will be labeled as}\\\text{John future age.}[/tex]

[tex]\textsf{Equation:}[/tex]

[tex]\mathsf{a - 9 = 20}[/tex]

[tex]\textsf{ADD 9 to BOTH SIDES}[/tex]

[tex]\mathsf{a - 9 + 9 = 20 + 9}[/tex]

[tex]\textsf{SIMPLIFY IT}[/tex]

[tex]\mathsf{a = 20 + 9}[/tex]

[tex]\mathsf{a = 29}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{John\ will \ be \ \boxed{\mathsf{29}} \ years \ old}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

4x

5+4/2=5 imput x since you cant forget your variable

Answer: maybe this will help. try searching this

Lim x 3^ + |6-2x|/ sqrt x-3 Evaluate the expression. to watch this video that I have screenshot down below.

Step-by-step explanation:

Answer: answer should be;

x^2+9x+13

Step-by-step explanation:

hey there;

f {x} - g {x}

=2x^2 + 7 - x^2+9x-6

=2x^2-x^2+9x+ 7-6

=x^2+9x+13

So, this is the following answer. You may mistook the question or the question itself is wrong.

Hope it helps!

The relationship between the price and cost is p > c.

The cost of manufacturing a product has a direct bearing on its price and the revenue generated by each sale. The cost of a product or service is determined by the customer's willingness to pay. Profit is the sum of the price paid less the costs incurred.

The price of Anna's greeting cards is p.

The cost of making a single greeting card is c.

Anna wants the profit to be 40% of the price of her greeting cards.

Profit = 40% of p

Profit = 40% × p = 0.4p

Now, we know

Price = Profit + Cost

p = 0.4p + c

Therefore, the relationship between cost and price is given by inequality:

p > c

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The rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.

Let y represent the  income

Let  x  represent the increase in rental price after increasing the rental price is 40+x.

Let 190-5x represent the number of cars rental after a rental price increase

Income expression

y=(190-5x) (40+x)

Let differentiate y with respect to x and set y' =0 to determine the maximum income

Hence,

y=(190-5x) (40+x)

=(190) (40) + 190 (x) -5x(40) -5x-(x)

=7600 +190x-200x-5x²

y= -5x² +10x+7600

Differentiate with respect to x

y'=d/dx ( -5x² +10x+7600)

y'=-10x+10x

set y'=0

-10x+10=0

10x=10

x=10/10

x=1

Maximum Rate =40+x

=40+1

=41 Dollars/Day

Maximum Income is

y= ( -5x² +10x+7600)

=(−5(1)²+10(1)+7600)

=−5(1)+10+7600

=5+10+7600

=7615

Therefore the rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.

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Carmen's total earning will be 10x when 10% earning is assumed to be x.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Let x be the earning of Carmen's that is equals to 10% of total earning.

Then total earning that is 100% will be equals to the multiplication 10% and x both with 10 :

10%( total earning of Carmen's ) = x

100%( total earning of Carmen's ) = 10x

Therefore, Carmen's total earning will be 10x when 10% earning is assumed to be x.

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Run the Ingleby marathon for free if  A ≥ £900

Given data

a. Joe raise more than £400 and run the Ingleby marathon for free

Run the Ingleby marathon for free if A> £400

b. Joe raise at least £900 and run the Ingleby marathon for free

Run the Ingleby marathon for free if __________

The first part of the statement gives the clue and it rewritten as

a. Raise more than £400 and run the Ingleby marathon for free

Run the Ingleby marathon for free if A> £400

more than £400 is represented as A> £400

The statement means amount greater that £400 and it is written mathematically as A> £400

The second statement is done as follows:

b. Joe raise at least £900 and run the Ingleby marathon for free

Run the Ingleby marathon for free if __________

In this case Joe runs the marathon if the amount is of the that is at least £900, which implies amount of 900 and above or simply put: amount of 900 or more than 900 .

This represented mathematically as: A ≥ £900

Hence we say Run the Ingleby marathon for free if  A ≥ £900

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Complete question

The complete question is attached

It should be noted that the area of the shaded figure based on the information will be 9600 m².

It should be noted that the area of a rectangle is calculated by multiplying the length by the width that's given.

It should be noted that this shape can be used

to form two rectangles and the areas will be added together.

Therefore, it should be noted that the area of the rectangle will be:

= (60 × 60) + (100 × 60)

= 3600 + 6000

= 9600 m²

In conclusion, it should be noted that the area of the shaded figure based on the information will be 9600 m².

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The designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

In most cases, dependent variables are used to represent discrete values

Take for instance:

While independent variables are used to represent continuous values

Take for instance:

Using the above as a hint, the designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

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Answer:

Answer is 1+- √2

Step-by-step explanation:

[tex] \frac{ - ( - 4) + - \sqrt{ {4}^{2} - 2 \times( - 8) } }{2(2)} [/tex]

[tex] \frac{4 + - \sqrt{32} }{4} [/tex]

[tex]1 + - \sqrt{2} [/tex]

answer as by using mid point formula and then after equating the corresponding co ordinates we get the answer -7 and -3

Based on the variation statement, the variation equation is P = kW

The mathematical statement is given as

The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight

A direct variation is represented as ∝

In this case, we have

P = Pressure

W = Weight

So, we have the variation to be

P ∝ W

Express as an equation

P = kW

Where k represents the constant of variation

Hence, the variation equation is P = kW

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a. Organizing the transaction data in accounts under an accounting equation for each year is as follows.

Accounting Equation: Assets = Liabilities + Equity

Year 1:

        Cash        Accounts      =     Liabilities     + Equity

                       Receivable

1)                           $31,130                                  $31,130  Service Revenue

2)     $24,904      (24,904)

3)                                 (311)                                      (311)  Bad Debts Expense

Bal. $24,904         $5,915                                $30,819

Year 2:

        Cash        Accounts      =     Liabilities     + Equity

                       Receivable

Bal. $24,904       $6,226                                 $30,819 Retained Earnings

1)                               (233) +233

2)                       $36,329                                $36,329  Service Revenue

3)     $32,151        (32,151)

4)                             (285)                                     (285) Bad Debts Expense

Bal. $57,055      $9,808                               $66,863  

b. Determining the following amounts is as follows:

                                                                             Year 1            Year 2

1. Net income                                                    $30,819       $36,044

2. Net cash flow from operating activities       24,904           32,151

3. Balance of accounts receivable at the end  6,226             10,171

4. Net realizable value of accounts receivable 5,915            9,808

Year 1:

1) Accounts Receivable $31,130 Service Revenue $31,130

2) Cash $24,904 Accounts Receivable $24,904

3) Bad Debts Expense $311 Allowance for Uncollectible Accounts $311

Year 2:

1) Allowance for Uncollectible Accounts $233 Accounts Receivable $233

2) Accounts Receivable $36,329 Service Revenue $36,329

3)  Cash $32,151 Accounts Receivable $32,151

4)  Bad Debts Expense $285 Allowance for Uncollectible Accounts $285

Net income for Year 2 = $36,044 ($36,329 - $285)

Year 1:

Net income                    $30,819

Non-cash expense                311

Accts receivable              (6,226)

Cash from operations $24,904

Year 2:

Net income                    $36,044

Non-cash expense                 52 ($285 - $233)

Accts receivable              (3,945)

Cash from operations  $32,151

Year 1:

Account Titles            Debit      Credit

1) Service Revenue $31,130

2) Cash                                  $24,904

Ending balance                      $6,226

Net Realizable Accounts Receivable = $5,915 ($6,226 - $311)

Year 2:

Account Titles            Debit      Credit

Beginning balance   $6,226

1) Allowance for Uncollectibles $233

2) Service Revenue 36,329

3)  Cash                                    32,151

Ending balance                      $10,171

Net Realizable Accounts Receivable = $9,808 ($10,171- $363)

Account Titles            Debit      Credit

Bad Debts Expense                   $311

Accounts Receivable $233

Bad Debts Expense                  285

Balance                      $363

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Required a. Organize the transaction data in accounts under an accounting equation for each year.

b. Determine the following amounts:

1. Net income for years 1 and 2.

2. Net cash flow from operating activities for Years 1 and 2.

3. Balance of accounts receivable at the end of Years 1 and 2.

4. Net realizable value of accounts receivable at the end of years 1 and 2.