Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

GC = 11B + 1D

WS = 9B + 2D

Linear equations will point downward

Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.

Answer 2
Western Sizzling would be cheaper because with the total meal it would cost $11 while Golden Corral would cost $12 for the total meal.

Related Questions

Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

five sixths of a number equals 200. What is the number?

Answers

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

PLEASE HELP!!

Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125

Answers

Step-by-step explanation:

5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)

Hope it helps...

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

Write a word phrase that represents x + 5.

Answers

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18

Answers

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.

You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______

Answers

Answer:

there are 25 nickels and 30 dimes

A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

(1 mark)
13.
The time to finish a certain work decreases as the number of worker increases
in number. What kind of proportion is illustrated in the situation?​

Answers

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.

is 5 rational or irrational

Answers

Answer:Rational

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:

Rational

................

PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION

Answers

I attached a picture to this

Plz help meeeeee 9q=81

Answers

Answer:

q=9

Step-by-step explanation:

9q=81

Divide each side by 9

9q/9=81/9

q = 9

Answer:

Q=9

Step-by-step explanation:

SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9

9Q/9=81/9

WHICH SIMPLIFIES TO

Q=9

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                             PEACE!

can someone help please? i’ll give brainliest

Answers

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160

Answers

Answer:

plan A

Step-by-step explanation:

Which equation gives the length of the altitude of ABC?

Answers

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

What is the length of BC given that figure ABCD is a rectangle

A. 11
B. 8
C. 16
D. 22

Answers

Answer:

C, 16

Explanation:

A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!

The measure of length BC of the rectangle will be 16 units. Then the correct option is C.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

From the diagram, we have

AD = BC = 16 units

Then the correct option is C.

More about the rectangle link is given below.

https://brainly.com/question/10046743

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Algebra help needed

Answers

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!

Answers

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

suddenly it stared dead onto stacy ...the creature smelled her strawberry shampoo anyone can really-

please help attachment

Answers

Answer:

v = 7

Step-by-step explanation:

a. v = 5x + 2y

= 5 × 3 + 2 × -4

= 15 + -8

= 7

Sorry I know only the A one anyways , hope this helps :)

Answer:

Step-by-step explanation:

a  v = 5x+ 2y = 5*3 + 2*-4 = 7

b 3p(p+5) = 3p^2 =15p

c 4k = 44

k=44/4 =11

i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...

Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.

Also need the slow of line p

Answers

Answer:

y + 5 = (1/3)(x - 6)

Step-by-step explanation:

Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q:  -1/3.

Starting with the point-slope formula y - k = m(x - h), we get

y + 5 = (1/3)(x - 6)

It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides​ $100,000 in case of death in a plane crash. A policy can be purchased for​ $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.

Answers

Answer:

answer is a

Step-by-step explanation:

i took the exam

what is the area of 1/4 of a circle with a radius of 10

Answers

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

What is the area of a circle?

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

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Find the partial sum of the first 4 terms of the series:
5n + 2
n=1
60
58
85
None of these

Answers

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]

Answers

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)

Answers

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

What is a vector equation?

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

Learn more about vector equations on:

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What is the inverse of the function f(x)=-\dfrac{1}{2}(x+3)f(x)=− 2 1 ​ (x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis

Answers

Answer:

The inverse of the function is

-2x-3

Step-by-step explanation:

The inverse of the function f(x) = -\dfrac{1}{2}(x+3) is f(x)⁻¹ = -2x - 3

What is the inverse of a function?

The inverse of a function is a function that gives us the actual value for which the desired function has a given result.

The given function is:

[tex]\mathbf{ f(x)=-\dfrac{1}{2}(x+3)}[/tex]

To find the inverse, we need to follow the following steps

replace the role of f(x) by y;

[tex]\mathbf{ y=-\dfrac{(x+3)}{2}}[/tex]

Swap x and y variables

[tex]\mathbf{ x=-\dfrac{(y+3)}{2}}[/tex]

Solve for y;

2x = - (y + 3)

2x = -y - 3

y = -2x - 3

Writing back in inverse notation, we have:

f(x)⁻¹ = -2x - 3

Learn more about the inverse of a function here:

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Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.

Answers

Answer:

B

Step-by-step explanation:

In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women

Answers

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Plz help me -5=-1/6b

Answers

Answer:

b = 30

Step-by-step explanation:

-5=-1/6b

Multiply each side by -6 to isolate b

-5 * -6 = -6 * -1/6 b

30 = b

b would be 30 hope this helped!

Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza

Answers

1) 18 pizza with 12 slices
2) 12 pizzas and with 10 slices
3) 336 slices of pizza

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

-----------------------------------------------------------------------------------------------------------------

60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

-----------------------------------------------------------------------------------------------------------------

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

-----------------------------------------------------------------------------------------------

Altogether, there is a total of 336 slices of pizza.

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