For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people

Answer:

Midpoint (xM, yM)  =  (-1.5, -0.5)

Step-by-step explanation:

Answer:

ax + ab

Step-by-step explanation:

Step 1: Write expression

a(x + b)

Step 2: Distribute a to each term

ax + ab

[tex]\huge\boxed{Hello!}[/tex]

The Distributive Property states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

a(x+b)

ax+ab

This is our final answer.

[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]

[tex]\huge\bold{Good\;luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Answer:

Step-by-step explanation:

Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.

If x = 1;

y = 2(1)

y = 2

Hence when x = 1, y = 2

If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.

y = 2(3)

y = 6

Hence when x = 3, y = 6

when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.

If y = x-3

y = 0-3

y = -3

Hence when x = 0, y = -3

when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero

If y = x-3 for x≤0

y = -2-3

y = -5

Hence when x = -2, y = -5

The solution to the equation W - 2 + 2w = 6 + 5w is W = -4.

To solve the equation W - 2 + 2w = 6 + 5w,  follow these steps:

Begin by gathering the terms with W on one side and the terms without W on the other side of the equation.

Start by subtracting 2w from both sides:

W - 2 + 2w - 2w = 6 + 5w - 2w

Simplify:

W - 2 = 6 + 3w

Next, move the constant term (6) to the left side by subtracting 6 from both sides:

W - 2 - 6 = 6 + 3w - 6

Simplify:

W - 8 = 3w

Now, let's isolate the variable W by subtracting 3w from both sides:

W - 3w - 8 = 3w - 3w

Simplify:

-2w - 8 = 0

Finally, solve for W by adding 8 to both sides:

-2w - 8 + 8 = 0 + 8

Simplify:

-2w = 8

Divide both sides by -2 to isolate w:

(-2w) / -2 = 8 / -2

Simplify:

w = -4

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Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

[tex]\text {Hi There! The answer to your problem is}[/tex]

[tex]\fbox {x=-3/13}[/tex]

[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]

[tex]\text {-5x+3=8x+9+-3}[/tex]

[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]

[tex]\text {-5x+3=8x+6}[/tex]

[tex]\text {The Next Step is to Subtract 8x}[/tex]

[tex]\text {-13x+3-3=6-3}[/tex]

[tex]\text {-13x=3}[/tex]

[tex]\text {The Final Step is to Divide by -13}[/tex]

[tex]\text {-13x/13=3/-13}[/tex]

[tex]\text {x=-3/13}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Answer:

=10x2+3x+4

Step-by-step explanation:

I hope this helps you

Answer:

10x^2+3x+4 should be the correct answer

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

Answer:

-4.7

Step-by-step explanation:

I just went by trial and error till the answer ended up being 0.6. I know that there's a actual way to solve this mathematically, but that's how I did it in school, and so far, I haven't been yelled at for it. Hopefully this was semi-helpful.

Answer:

16

Step-by-step explanation:

I counted each of the cubes and got 64.

Then I divided it by 4 since you need to divide it be 1/4.

once I divided 4 for 64 I got 16.

if it was negitive I would be -2

Step-by-step explanation:

so 6-4=2 and if you make that negative it would be -2

Answer:

-$6 + $4 = -$2

Step-by-step explanation:

Since Morris borrowed 6 dollars to begin with, the first term in my equation is -6$, representing the debt he has incurred from taking a loan of 6 dollars from his mother. After paying $4 dollars, he would still be in debt of $2 to his mother. Since he is still in debt of 2 dollars, the furthest right term in my aforementioned equation is -$2.

Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Answer:

  w(0) = -4

Step-by-step explanation:

Put 0 where x is and do the arithmetic.

  w(0) = 2·0 -4

  w(0) = -4 . . . . . . . simplified

Answer:

D. [tex]y = 2x[/tex]

Step-by-step explanation:

A proportional relationship is represented by the formula [tex]y = mx + b[/tex].

m = the slope, which is  [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex].

b = the y-intercept, the point where the line crosses the y-axis. We actually don't have to worry about the [tex]+ b[/tex] part of the formula because [tex]b = 0[/tex], so it can be left out.

To find the slope, use [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]. Subtract the smaller y value (2) from the larger y value (6).

(6 - 2 = 4)

Then subtract the smaller x value (1) from the larger x value (3).

(3 -  1 = 2)

So it looks something like this now:

[tex]\frac{6-2}{3-1}[/tex] , which equals [tex]\frac{4}{2}[/tex]

Then you divide the top part of the fraction (4) by the bottom part. (2).

[tex]\frac{4}{2}[/tex] = 2. The slope (m) is 2.

So the final equation is [tex]y=2x[/tex].

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

The width and height of the given TV screen will be 44.45 inches and 25.00 inches.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

The length of any TV is measured diagonally.

So,

Diagonal = 51 inches

Now the ratio is ;

W/H = 16 / 9

Let's say both are fractions of x

So,

Width = 16x , Height = 9x

By Pythagoras theorem,

(16x)² + (9x)² = 51²

256x² + 81x² = 2601

337x² = 2601

x² = 7.718

x = 2.778

So width = 16(2.778) = 44.45 inches.

And height = 9(2.778) = 25.00 inches

Hence "The width and height of the given TV screen will be 44.45 inches and 25.00 inches".

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Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

Angle LMN

Angle NML

Angle M

These are the only ways to name this angle

Answer:

Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.

Step-by-step explanation:

The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.

In 3(x+2)=18,  X=4

Divide both sides by the numeric factor on the left side, then solve.

Answer:

(x-12y)(x+y)

Step-by-step explanation:

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246

Answer:

B

Step-by-step explanation:

It just is

Answer:

Its b

Step-by-step explanation:

I just took the test. Hope this helps <3

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

B(4, -5)

Step-by-step explanation:

A(-8, 7)

M(-2, 1)

B(x, y)

x-coordinate:

(-8 + x)/2 = -2

-8 + x = -4

x = 4

y-coordinate:

(7 + y)/2 = 1

7 + y = 2

y = -5

B(4, -5)

Answer:

I

Step-by-step explanation:

J

Answer:

x=22

Step-by-step explanation:

6x= 5x+22

6x-5x=22

x=22

Answer:

x = 22

Step-by-step explanation:

6x = 5x + 22

Subtract 5x from both sides.

x = 22

Answer:

An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )