An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air

Answer:

the answer is 54 %

Step-by-step explanation:

divide 120/65=0.54, then since you're looking for the percent you multiply it by 100, and the answer would be 54%

Answer: 8x + 5= 61

Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.

Using the concept of x-intercept, it is found that the correct statement is:

In this problem, in function f(x), when f(x) = 0, x = 3, hence the x-intercept is x = 3.

Function g(x) is defined by:

[tex]g(x) = 2 + \sqrt[3]{3x + 1}[/tex]

Hence, the x-intercept of g(x) is found as follows:

[tex]g(x) = 0[/tex]

[tex]2 + \sqrt[3]{3x + 1} = 0[/tex]

[tex]\sqrt[3]{3x + 1} = -2[/tex]

[tex](\sqrt[3]{3x + 1})^3 = (-2)^3[/tex]

[tex]3x + 1 = -8[/tex]

[tex]3x = -9[/tex]

[tex]x = -\frac{9}{3}[/tex]

[tex]x = -3[/tex]

The x-intercept of g(x) is -3, which is less than the x-intercept of function f(x), hence, the correct statement is:

To learn more about the concept of x-intercept, you can take a look at https://brainly.com/question/24737967

Answer:

1/2 divided by 6

6/12 divided by 6

Step-by-step explanation:

Answer:

a - d

Step-by-step explanation:

Answer:

a)

b)0.1

pls refer to the pic

Step-by-step explanation:

-2(3x-12)+4-13

=-6x+24+4-13=-7x-15

=6x-15

4(5x-1)+8x-20=20x-4+8x-20

=28x-24

So this is ur solution.

But if u wnt to solve these eq. together thn it will be:-

6x-15=28x-24

6x-28x=-24+15

-22x=-9

x=22/9=2.44

Hope u like it.

Answer:

-8+9 is problem one

Step-by-st-ep explanation:

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

9514 1404 393

Answer:

  f(-5) = -81

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  f(-5) = -(-5)^2 +10(-5) -6

  f(-5) = -25 -50 -6

  f(-5) = -81

Answer:

-81

Step-by-step explanation:

Answer:

X= 7

Step-by-step explanation:

Answer:

209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)

Answer:

200+9+0.1+0.006.

Step-by-step explanation:

Answer:

AB is equal to AD because if you move from A to B, you would have to go 3 points toward the B, and then move one point toward B. Same for D. You must move 3 points toward D, then move one down.

Step-by-step explanation:

Answer:

y=x-7

Step-by-step explanation:

y=mx+b

(-3)=(1)(4)+b

-3=4+b

-3=4+b

-4=-4+b

-7=b

then y=1x-7

then simplify and it gives you y=x-7

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

The density with a volume of 3.8 cm³ and a mass of 22.4 g is 5.89 g / cm³.

Given,

The volume of a mineral = 3.8 cm3

And the mass of the mineral = 22.4 g

We need to find the density.

It is the ratio of mass and volume.

Density = mass / volume

Find the density.

Volume = 3.8 cm³

Mass = 22.4 g

Density

= Mass / Volume

= 22.4 / 3.8

= 5.89 g / cm³

Thus the density with a volume of 3.8 cm³ and a mass of 22.4 g is

5.89 g / cm³.

Learn more about how to find density in the cgs system here:

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Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

Profit is the difference between the revenue and cost functions

A production greater than 19 will turn a profit

From the question, we have:

[tex]\mathbf{R(x) = 6x}[/tex]

[tex]\mathbf{C(x) = 12x + 114}[/tex]

So, the profit function is:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

Substitute known values

[tex]\mathbf{P(x) = 6x - 12x - 114}\\[/tex]

[tex]\mathbf{P(x) = - 6x - 114}[/tex]

Equate to 0

[tex]\mathbf{- 6x - 114 = 0}[/tex]

Collect like terms

[tex]\mathbf{- 6x= 114}[/tex]

Divide both sides by -6

[tex]\mathbf{x= -19}[/tex]

The above equation means that: A production greater than 19 will turn a profit

Read more about profit functions at:

https://brainly.com/question/16866047

Answer:

5 min

Step-by-step explanation:

If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.

The first step is to find the number of degrees the minute hand goes in a minute:

= Degrees in an hour / Minutes in an hour

= 360 / 60

= 6° per minute

In order to go 155°, the minute hand would go for:

= Degrees / Degrees per minute

= 155 / 6

= 25.83

= 26 minutes

In conclusion, it would take 26 minutes for the minute hand to turn 155°.

Find out more at https://brainly.com/question/8890577.

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

Answer:

72

Step-by-step explanation:

2*5=10

3*6=18

6*8=54

8*9=72

Answer:

(x+15)(x+4)

Step-by-step explanation:

Answer: x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

when we see something like 7x-3=67, we have to get x alone. the first step is to always cancel out the constant (the number that does not have a variable such as x connected to it). so to make -3 equal to 0 we have to add 3. what we do to one side we have to do to the other so after adding 3 on each side we get 7x=70. now here, we still have to get x alone. 7x means 7 times x so to undo this we have to do the opposite and divide each side by 7. 7 divided by 1 (and 1x is 1 times x which is just x so now we have x alone yaay) and 70 divided by 7 is 10. so x = 10.

I hope this helped :))

Answer:

I don't known

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex]      and     [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484   →    11x = 3388    →    x = 308

11x = 4*484   →    11x = 1936     →    x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or  [tex]\frac{7}{4}[/tex] )

Answer:

10per the other side of alloys

Answer:

Step-by-step explanation:

Let n(U) be total amount or customers = 100%

n(C) = 80% of its customers subscribe to its cable TV service.

n(I) = 41% of its customers subscribe to its Internet service.

n(T) = 31% of its customers subscribe to its telephone service.

n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.

n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.

n(InT) = 22% of its customers subscribe to both its Internet and phone service.

n(CnInT) = 15% of its customers subscribe to all three services

number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))

= 80-[(25-15)+(20-15)+15]

= 80-{10+5+15)

= 80-30

= 50

Hence 50% read cable TV only

Pr(cable TV only) = 50/100 = 1/2

2) number of people that read internet and cable TV = 25%

Pr(internet and cable) = 25/100 = 1/4

3) number of people that had exactly two services are;

n(cable and internet only)+n(internet and phone only)+(cable and phone only)

= (25-15)+(22-15)+(20-15)

= 10+7+4

= 21%

Hence 21℅ read exactly two services

pr(exactly 2 services) = 21/100

4) number of people that read internet and cable only = n(CnI) - n(CnInP)

= 25-15 = 10%

Pr(Internet and cable only) = 10/100 = 1/10

Answer:

3

Step-by-step explanation:

Answer:

k = -4

division property

Step-by-step explanation:

Answer:

all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000