If 100 feet of fence is used to enclose a rectangular yard, then the resulting area is given by
A=x(-x+50) where x feet is the width of the rectangle and feet is the length. Determine the length and width that give maximum area.

Answer:

true i think

Step-by-step explanation:

Answer:

40th costumer

Step-by-step explanation:

The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.

Customer first to receive a free cookie and a free drink is 20th number customer

Number of customer received free cookie = 4th

Number of customer received free drink = 10th

Customer first to receive a free cookie and a free drink

Customer first to receive a free cookie and a free drink = LCM of 4 and 10

Customer first to receive a free cookie and a free drink = 20th number customer

https://brainly.com/question/1879445?referrer=searchResults

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x  = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS  of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

See attachment for math work.

Answer:

10 guests

Step-by-step explanation:

Step one:

Desmond bought 7 1/2 pints of ice cream

each guest gets a 3/4 pint

Required

The number of guests that Desmond can serve

Step two:

let us convert  7 1/2 to a simple fraction

= 15/2

The number of guests to be served is

=15/2/3/4

multiply the numerator by the inverse of the denominator

=15/2*4/3

=60/6

=10 guests

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

Answer:

What is the z-statistic for the sample? Round the answer to the nearest hundredth.

z =  

Step-by-step explanation:

on edge :)

Answer:

2.07

Step-by-step explanation:

Answer:

D) Quadrant IV

Answer:

Quadrant IV

Step-by-step explanation:

Given an array of points:

Quadrant I := [x > 0, y > 0]

Quadrant II := [x < 0, y > 0]

Quadrant III := [x < 0, y < 0]

Quadrant IV := [x > 0, y < 0] (our case)

in [tex]P(5, -8)[/tex] [tex]x > 0, y < 0[/tex]

5/6 yards

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]

Answer:

5/6 yards of fabric

Step-by-step explanation:

4/6 yards + 1/6 yards = 5/6 yards

Answer:

the first one

Step-by-step explanation:

because the negative number is the least, and the positive is the greatest

Answer:

2/3 - 2/5 = 4/15

Step-by-step explanation: 2/3 x 5/5 = 10/15       2/5 x 3/3 = 6/15

Hope this helps!

1. Let y represent the amount of money earned, and x the number of cars they wash. Then

y = 5x

Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.

2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).

3. Taking into account the setup cost of $75, the profit they make is given by

y = 5x - 75

4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.

5. Set the profit function equal to 0 and solve for x :

5x - 75 = 0

5x = 75

x = 75/5

x = 15

So the team has to wash at least 15 cars to break even.

Answer:

The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.

Answer:

240

Step-by-step explanation:

Answer:

240 calories

Step-by-step explanation:

3,840 divided by 16 is 240 :)

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)

Answer:

25 Chapters

Step-by-step explanation:

We are given:

Number of Chapters read = 14

Percentage of Book finished = 56%

Number of Chapters in the Book:

Since 56% of 'x' chapters is 14:

[tex]x*\frac{56}{100}[/tex] = 14

[tex]x = \frac{14 * 100}{56}[/tex]                             [multiplying both sides by 100/56]

[tex]x = \frac{100}{4}[/tex]                                  [since 14*4 = 56]

x = 25

Therefore, the book has 25 chapters

Answer:

The book has a total of 25 chapters.

Step-by-step explanation:

If 14 is 56% of the book, we can set up a proportion that can find the total number of chapters in the book.

A proportion looks like:

Our first fraction will be the two values we are given: 14 chapters and 56% of the book.

Then, our second fraction will contain an unknown variable. We would need to complete this many chapters to complete the book, so 100% of the book would be read once a certain number of chapters are reached. Therefore, we don't know how many chapters are needed to complete the book, so this is our unknown variable. We can define this as x.

Therefore, our second fraction is:

Now, we can set these fractions equal to each other.

Then, we can cross multiply our fractions to create an equation. Following our sample proportion, we would get:

So, we can follow the same policy with our proportion.

[tex]\displaystyle (14)(100) = (56)(x)\\\\1400 = 56x\\\\56x = 1400\\\\\frac{56x}{56} = \frac{1400}{56}\\\\x = 25[/tex]

Therefore, 56% of the book is 14 chapters. With this information, we have determined that 100% of the book is 25 chapters.

Answer:245

Step-by-step explanation:

hope this helps

Answer:

The answer is B. Hope it helps :)

Answer:

w= -5/6

Step-by-step explanation:

That the right answer

Answer:

y-intersept is the design fee

Answer: I cant really read the questions.

Step-by-step explanation:

Answer:

y = 503

Step-by-step explanation:

y=mx+b

y=26(17)+61

y=442+61

y=503

Answer:

D

Step-by-step explanation:

We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.

(2g - 2) + (4q - 9) = 133

6q - 11 = 133

6q = 144

q = 24

Best of Luck!

D. (2g - 2)+(4g -9) = 133

Because,

Given, angle MRT = 133°

and MRN = 2g - 2 °

and NRT = 4g - 9°

and MRT = MRN + NRT .........(equation (i))

Placing values in equation (i) we get,

133° = (2g - 2)° + (4g - 9)°

=> 133 = (2g - 2) + (4g - 9)

=> (2g - 2) + (4g - 9) = 133