Two trains leave Raleigh at the same time one traveling north and the other south the first train travels at 50 miles per hour and the second at 60 miles per hour in how many hours will the trains be in 275 miles apart

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

Answer:

29,000,000

Step-by-step explanation:

Answer:

29,000,000,000

Step-by-step explanation:

Answer:

the slope is -300

Step-by-step explanation:

y=mx+b

m is slope

Answer:

I thinks its negative

Step-by-step explanation:

because since there is more neagitive that positive it will be neagitive

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

Answer:

9x=2

Step-by-step explanation:

4 - 6(3 - 2x) = 3(x -4)

4 - 18 + 12x = 3x - 12

12x - 14 = 3x - 12

12x - 3x = 14 - 12

9x = 2

hope you are happy with the answer ;)

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

Step-by-step explanation:

Answer:

Use a calculator to add the cost of each item but don’t forget that there is tax!!

and usually is 15% of what is the total cost of each item without tax.

Step-by-step explanation:

Answer:

You could design a solar panel.

Step-by-step explanation:

Nature uses sunlight to grow and provide food for animals, but it only uses what it needs. And it forms a function. So by designing a solar panel, you imitate the way nature works. Solar panels only soak in sunlight for energy when it needs it, which is a function that provides electricity.

(What the question is asking is that you design a product in which some of the aspects listed would be imitated)

Answer:

i Think it would be B

Step-by-step explanation:

Answer:

13 and 14

Step-by-step explanation:

Answer:

y=80-8x

Step-by-step explanation:

Bc the 80 is what it started at and the x represents the hour

(In y=mx+b form)

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

Given:

AB is the diameter of a circle whose center is the point (4,-3).

Coordinates of A are (-1,5).

To find:

The measure of AB.

Solution:

Let point O(4,-3) be the center of the circle.

Then, OA is the radius of the circle.

We know that, diameter of a circle is twice of its radius.

So, [tex]AB=2(OA)[/tex]       ...(i)

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between O and A is

[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]

[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]

[tex]OA=\sqrt{25+(8)^2}[/tex]

[tex]OA=\sqrt{25+64}[/tex]

[tex]OA=\sqrt{89}[/tex]

Now, using (i), we get

[tex]AB=2(OA)[/tex]

[tex]AB=2(\sqrt{89})[/tex]

[tex]AB=2\sqrt{89}[/tex]

Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.

Answer:

1. 128=x

2.37=x

3. 55=x

4. 15=x

5. 76=x

Step-by-step explanation:

Answer:

rectangular

Step-by-step explanation:

Answer:

The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.

Step-by-step explanation:

i hope this helps!

Answer:

B= -7/5

Step-by-step explanation:

Subtract the 2nd y from the first (2-9)

Subtract the 2nd x from the first (11-6)

-7/5

Answer:

The first month new members have to pay 188 dollars for the membership.

The equation is 160x+28=y

x stands for the number of months and y stands for the total cost.

For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.

can you writ the answe in a sheet on paper

Step-by-step explanation:

Make t the subject of the formula (5÷ t) -2 = s

__________________________________________________________

all the questions is on my page there is more 4

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Answer:

A. $14.40

B. ?

C. $21.60

Step-by-step explanation:

I just know it’s right lol

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Answer:

Step-by-step explanation:

x = 12

Step-by-step explanation:

The slope-intercept form formula, , can be used to write an equation for the line.

Where,

m = slope =  

b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.

Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

Let,

y-intercept of the line, b = 30

Equation for the line would be:

Using the equation, find x when y = 150.

Simply substitute the value for y in the equation to find x.

Subtract 30 from both sides

Divide both sides by 10

x = 12

Answer: x= 15

Steps shown in image below

Answer:

x=15

Step-by-step explanation:

they are supplementary so they add up to 180.

7x-9+5x+9=180

simplify

12x=180

divide by 12

x=15

Answer:

A, C & D

Step-by-step explanation:

A) 1 + 3x = -x + 4  {subtract 1}

  1 + 3x -1 = -x + 4 - 1

       3x     = -x + 3         {add x}

     3x + x = -x + 3 + x

        4x    = 3       {Divide by 4}

       4x/x = 3/4

x = 3/4

C) 1 + 3x = -x +4            {Add x}

  1+ 3x + x = - x +4 + x      

   1 + 4x  = 4    {subtract 1}

        4x = 4 - 1

        4x = 3   {Divide by 4}

D) 1 + 3x = -x + 4        { Subtract 3x}

         1    = -x + 4 -3x

         1 = -4x + 4          Subtract 4}

      1 - 4 = -4x

        -3 = -4x              {Divide by -4}

       -3/-4 = x

x = 3/4  

          x = 3/4

Answer:

76

Step-by-step explanation: