A plane traveled 2135 miles with the wind in 3.5 hours and 1855 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of wind.

the radii would equal 7.5

Answer:

21

Step-by-step explanation:

At the end of the equation the 21 is the radius and when squared it becomes the diameter if i am correct

We know that

triangles ADE and ABC are similar triangles

so, the ratios of their sides must be same

now, we will find value of sides

we are given

AD=12

DB=6

AE=14

EC=7

[tex]AB=AD+DB[/tex]

now, we can plug values

[tex]AB=12+6[/tex]

[tex]AB=18[/tex]

so, we can get ratio

[tex]\frac{DE}{BC} =\frac{AD}{AB}[/tex]

now, we can plug values

[tex]\frac{DE}{BC} =\frac{12}{18}[/tex]

So, the ratio in simplest form is

[tex]\frac{DE}{BC} =\frac{2}{3}[/tex]..............Answer

Answer:

7

Step-by-step explanation:

assign the amount of weeks to x. then we write the equation 160+3x=195-2x which is 7

The equation that can be used to find the number of weeks it will take them to weigh the same amount is 160 + 3w = 195 - 2w , and it will take them 7 weeks to weigh the same amount.

Let's take w as the weight,

Nick's weight after w weeks: 160 + 3w

Adam's weight after w weeks: 195 - 2w

Since they will weigh the same after w weeks, you can set up the equation:

160 + 3w = 195 - 2w

Now, solve for w:

Combine like terms:

3w + 2w = 195 - 160

5w = 35

Divide both sides by 5 to isolate w:

w = 35 / 5

w = 7

So, it will take them 7 weeks to weigh the same amount.

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Answer:

this box will show you the answer

Step-by-step explanation:

Thank Natalie222 for the answer its  6x10 not 6x3 :3

we are given

[tex]y=cos^{-1}(x-\pi)[/tex]

Since, we have to find inverse function

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

[tex]x=cos^{-1}(y-\pi)[/tex]

step-3: Solve for y

We can take cos on both sides

[tex]cos(x)=cos(cos^{-1}(y-\pi))[/tex]

we can simplify it

[tex]cos(x)=y-\pi[/tex]

now, we can solve for y

[tex]cos(x)+\pi=y-\pi+\pi[/tex]

[tex]cos(x)+\pi=y[/tex]

[tex]y=\pi +cos(x)[/tex]..............Answer

Answer:

The answer is C

Step-by-step explanation:

Hey there!!

The measure of the unlabeled angle is ( x + y - 5 ) due to the vertically opposite angles.

We also know 2x = y due to vertically opposite angles

If we add up all the angles, we get 360 degrees.

Hence,  

y + 2x + x + y - 5 + x + y - 5 = 360

4x + 3y - 10 = 360

Add 10 on both sides

4x + 3y = 370

We know 2x = y

Hence,

4x + 3y = 370 can be broken down as ,

4x + y + y + y = 370

4x + 2x + 2x + 2x = 370

10x = 370

x = 370 / 10

x = 37

The unknown angle = x + y - 5

x + 2x - 5

3x - 5

3 ( 37 ) - 5

111 - 5

106

Hence, the unknown angle is 106°

Hope my answer helps!!

Hello there!

Answer: ⇒ [tex]x=-1[/tex]

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Step-by-step explanation:

First you had to subtract by 23 from both sides of equation.

[tex]23-4x-23=27-23[/tex]

Simplify.

[tex]-4x=4[/tex]

Then you divide by -4 from both sides of equation.

[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]

Simplify its should be the correct answer.

[tex]x=-1[/tex]

__________________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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x^2-2=7

Subtract 7 from both sides

x^2-2-7=7-7

x^2-9=0

x^2-3^2=0

Using a^2-b^2=(a+b)(a-b)

Where a=x and b=3

(x-3)(x+3)

Answers:

Angle A = 104 degrees

Angle B = 76 degrees

=================================

Supplementary angles add to 180 degrees.

A+B = 180

(3x-7)+(2x+2) = 180

5x-5 = 180

5x-5+5 = 180+5 ... add 5 to both sides

5x = 185

5x/5 = 185/5 .... divide both sides by 5

x = 37

Use x =37 to find

Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees

Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees

As a check: A+B = 104+76 = 180 so that helps confirm the answer

The measure of supplementary angle ∠A is 107 degrees and the measure of supplementary angle ∠B is 76 degrees. We get these values by setting up an equation based on the fact that the sum of the measures of two supplementary angles is 180 degrees, solving for x, and then substituting x back into the original equations.

In this problem, we're asked to find the values of the supplementary angles ∠A and ∠B. The measure of a supplementary angle is based on the concept that the sum of the measures of two supplementary angles is 180 degrees. We can form an equation since we know m∠A + m∠B = 180°. This translates to (3x – 7)° + (2x + 2)° = 180°. To solve the equation, consolidate like terms, so 5x - 5 = 180. Add 5 to both sides of the equation to find that 5x = 185. Dividing both sides of the equation by 5, we find that x = 37. Substitute x = 37 back into the original equations for m∠A and m∠B to find m∠A = 3*37 - 7 = 107 degrees, and m∠B = 2*37 + 2 = 76 degrees.

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You will have to multiply 56x6=n find out n and that is your answer

The dog weighs 48 pounds

Let r represent the weight of the rabbit

Weight of the dog = 6r

Sum of their weights = 56

6r + r = 56

7r = 56

r = 56/7

r = 8 pounds

The rabbit weighs 8 pounds

The dog weighs :  6 x 8 = 48 pounds

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Its helpful because it gives you the number to put in and to find the unit rate

Tables aid in constructing equations by facilitating the organization and visualization of mathematical data. This makes it easier to apply given parameters to equations and to understand their behavior. For instance, an equilibrium state can be visually represented in a table.

A table is incredibly helpful when constructing equations because it aids in the organization and visualization of mathematical data. Through the usage of tables, one can clearly list and categorize known values that might be used in an equation, thereby making it easier to identify what needs to be solved. For instance, if you're given multiple variables and constants in a word problem, a table can be used to order these parameters systematically so they can be more easily applied into constructing equations.

Similarly, tables contribute to expressing equations visually as they can illustrate changes in variable values, which can further assist in understanding the behavior of the equation. An equilibrium state, for instance, can be clearly italicized in a table to visually represent the point where an equation balances, which would be harder to see in text form.

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There are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.

Let's assume the number of trucks that passed through the toll booth in the 2-hour period is represented by 't', and the number of sedans is represented by 's'.

According to the given information, the toll collector received $8 for each truck and $3 for each sedan. We can write two equations based on the total amount collected and solve them simultaneously.

The total amount collected from the trucks:

Amount from trucks = $8 × number of trucks = 8t

The total amount collected from the sedans:

Amount from sedans = $3 × number of sedans = 3s

We are also given that the toll collector collected a total of $128 in 2 hours. So we can write the equation:

Amount from trucks + Amount from sedans = $128

8t + 3s = 128

Now, we need to solve the above two equations simultaneously to find the values of 't' and 's'.

To solve these equations, we can use a method called substitution. Let's solve for 't' in terms of 's' using the first equation:

8t = 128 - 3s

t = (128 - 3s)/8

Now we substitute this value of 't' in the second equation:

8(128 - 3s)/8 + 3s = 128

128 - 3s + 3s = 128

128 = 128

We see that both 's' and 't' have been eliminated from the equation, and we are left with 128 = 128. This means the value of 's' can be any number, as long as it satisfies the equation.

Therefore, there are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.

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Coordinates of C: (-5,-1)

Coordinates of D: (0,3)

Distance formula:

[tex]d = \sqrt({x2 - x1)^2 + (y2 - y1)^2}[/tex]

--> [tex]\sqrt{(0 - (-5))^2 + (3 - (-1))^2}[/tex]

---> [tex]\sqrt{5^2 + 4^2}[/tex]

----> [tex]\sqrt{25 + 16} = \sqrt{41}[/tex]

The distance rounded to the nearest tenth is 6.40 units.

The direct variation equation that is satisfied by this ordered pair is y = 6/5x

In order to find this, we start with the base equation for direct variation. We then plug in and solve for k.

y = kx

6 = k5

6/5 = k

And now we can use that to model all future direct variations with this.

y = 6/5x

15 ft because double 7 and add 1 more and what dose it make? 15!

-ii 6th grade

18/3 = 6

Each container has 6 oranges

6 *7 = 42

Answer: 42 oranges

Lzzy has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes.

Let us assume number of dimes = x.

"Three more quarters than dimes" would be = (x+3) quarters .

"Twice as many nickels as dimes " would be = (2x) nickels.

"Four times as many pennies as dimes" would be =(4x) pennies.

Total value of all coins = $7.61.

We can setup an equation now.

0.10*x + 0.25(x+3) + 0.05(2x)+0.01(4x)=7.61.

Let us simplify the equation.

0.10x + 0.25x + 0.75 + 0.10x + 0.04x = 7.61

0.49x + 0.75 = 7.61.

Subtratcing 0.75 from both sides, we get

0.49x = 6.86

Dividing both sides by 0.49, we get

x= 14.

Therefore,

you will

have 14 rings

you will have 14 rings, because you have ten fingers, and ten plus 4 is 14.

hope it helps.

C. A way to borrow money from a bank or financial institution to pay for a car

[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{y})\qquad(\stackrel{x_2}{-11}~,~\stackrel{y_2}{8})\\\\\\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-y}{-11-(-3)}~~=~~\stackrel{m}{-2}\\\\\\\cfrac{8-y}{-11+3}=-2\implies \cfrac{8-y}{-8}=-2\implies 8-y=16\implies -8=y[/tex]

Remark

There's no ONE solution to this equation. But x can be anything or the solution could be the empty set. Try writing no solution.  If that doesn't work, try empty set [which won't work if you don't know what a set is]. If that doesn't work, write your instructor or if you have notes, see what the notes say.

A line is infinitely long but is only one-dimensional.

A solid is three-dimensional but not infinite.

Geometric space is infinite but is three-dimensional.

So, that leaves a plane, which is two-dimensional and infinitely large. The answer is A plane!

Answer:

l

Step-by-step explanation:

the answer is A. 23/100

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

Answer:

C.

Step-by-step explanation:

Edgen 2023

8, 15 - 7 = 8 thats correct

Answer(a):

We have been given two functions f(x)=100+3x and g(x)=8x.

Now we need to decide which one of them is cost function and which one is the revenue function.

We know that production usually involves fixed cost for operating the production so usually that is of the form y=mx+b.

Hence f(x)=100+3x is the cost function

Answer(b):

Then g(x)=8x is the revenue function.

Answer(c):

We know that profit function is the difference of revenue and cost

Profit = Revenue - Cost

P(x)= g(x) - f(x) =8x-(100+3x)

P(x)= 8x-100-3x

P(x)= 5x-100

Hence P(x)= 5x-100 is the profit function.

Answer(d):

P(x)= 5x-100 is the profit function.

You get 1 9/10. You can change 0.38 to 38/100 which simplifies to 19/50. Then u can change 15 1/3 to an improper fraction. You get 46/3. Then multiply 19/50 by 46/3 and you get 19/10 which simplifies to 1 9/10.