The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?

Answers

Answer 1

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070


Related Questions

Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

Answers

Answer:

a) 43 - 15

b) 28

43 represents the money he has the game costs $15, subtract 15 from 43 and get $28. After the purchase he now has $28

Determine whether the graph represents a function. *

Answers

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

The United States and Canada have the production possibilities curves shown above. It is determined that the United States has the comparative advantage in peanuts. Will both nations gain from trade if the terms of trade that are offered are 1 Peanut= 3 Corn? Why or why not? Show your work.


This is economics

Answers

It is false both nations will benefit if the terms of trade are  1 peanut = 3 corn.

What is the comparative advantage?

The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.

Will both nations benefit if they trade 1 peanut for 3 corn?

No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.

Canada: Canada can produce 60 corn for every 20 peanuts, this can be understood as a 1 peanut : 3 corn ratio, therefore, this country will benefit from the 1 peanut = 3 corn term.United States:  The United States produces 60 corn for every 60 peanuts or 1 peanut: 1 corn. Due to this, they will not benefit from the trade because this nation does not produce enough corn to meet the demand of 1 peanut = 3 corn.

Learn more about comparative advantage in: https://brainly.com/question/4461081

Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?

Answers

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

what regular polygon has an interior angle of 156 degrees

Answers

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *

Answers

Step-by-step explanation:

5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32

5×(x - 32) = 9×9/5 × x + 32×9

5×5×(x - 32) = 9×9×x + 32×9×5

25x - 32×25 = 81x + 32×45

32×(-25 - 45) = 56x

4×(-70) = 7x

x = 4×(-10) = -40

-40° is the same temperature in Celsius and in Fahrenheit.

6 divided by 4 write your answer in a decimal form

Answers

The answer should be 1.5

Answer:

1.5

Step-by-step explanation:

Four goes into six once, then four goes into 20 5 times

lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =

Answers

Answer:

15/2

Step-by-step explanation:

y varies directly as x can be written as:

y & x

y = Kx

K = y/x

But from the question, we were told that:

y = 10

X = 20

K = y/x

K = 10/20

K = 1/2

The formula for the expression is:

y = Kx

y = 1/2 x

Now let us solve for y, when:

x = 15

y = 1/2 x

y = 1/2 x 15

y = 15/2

Answer:

When x = 15, y = 15/2

Step-by-step explanation:

Formula:  "y varies directly with x" comes out to y = kx symbolically.

Find the value of the constant of proportionality, k:  If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.

Then the formula is y = (1/2)x.

When x = 15, y = 15/2

where dp you see yourself in the future?

Answers

Answer:

Happy

Step-by-step explanation:

mao I wanted to unalive myself not to long ago

7 1/3 x 7/11
simplify the answer completely and change to a mixed number

Answers

Answer:

Hello There!

Your question says that

[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]

Now lets convert mixed fraction to improper fraction

[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]

Now let's simplify..

[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]

Now simplify 22 and 11 so it will look like

[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]

Now lets convert it to mixed fraction...

[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]

So it is the answer

[tex]4 \: \frac{2}{3} \\ \\ [/tex]

I hope it is helpful to you..Cheers!______

The product of the two given fraction is [tex]4\frac{2}{3}[/tex].

The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].

Product of two fractions = Product of their numerators / Product of their denominators.

Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]

= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]

= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]

= [tex]\frac{14}{3}[/tex]

In mixed fraction [tex]4\frac{2}{3}[/tex]

Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ6

number 4 plssss!!!!!!!!!!

Answers

Answer:

AB = 21

Step-by-step explanation:

Tales' theorem

[tex]\frac{12}{14} =\frac{18}{AB}[/tex]

[tex]AB=\frac{(14)(18)}{12}[/tex]

[tex]AB=21[/tex]

Hope this helps

(i)Given that:

AE || BD

AB = ? [Let AB be x]

BC = 3

ED = 12

DC = 4

We know that

By Basic Proportionality Theorem,

AB/BC = ED/DC

On substituting these values in the above formula

⇛ AB / 3 = 12 / 4

On applying cross multiplication then

⇛ x(4) = (12)3

⇛ 4x = 36

Shift the number 4 from LHS to RHS.

⇛ x = 36÷4

⇛ x = 36/4

Therefore, AB = 9

Answer: The value of AB for the given problem is 9.

Similarly,

(ii) Given that:

EB || DC

AE = 14

ED = 12

AB = ? [Let AB be X]

BC = 18

We know that

By Basic Proportionality Theorem,

AE / ED = AB / BC

On substituting these values in the above formula

⇛ 14 / 12 = x / 18

On applying cross multiplication then

⇛ 14(18) = (12)x

⇛ 252 = 12x

Shift the number 252 from LHS to RHS.

⇛ X = 256÷12

⇛ X = 21

Therefore, AB = 21

Answer: The value of AB for the given problem is 21

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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PLEASE HELP QUESTION IN PICTURE. (15 POINTS)

Answers

2x-9 + 5x-3 + 2x-2 = 9x-12 so it’s D

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

angle is 90 degrees and i believe hypotenuse is 140

Answer:

Hypotenuse: 20√2

Acute Angle measurements: 45

Step-by-step explanation:

Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.

By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.

Note that the leg side measures 20. Multiply:

20 * √2 = 20√2.

Hypotenuse: 20√2

Acute Angle measurements: 45

Please help this is due on Monday! Will give brainliest!!!!

Answers

Answer:

The awnser in the first option. A

what is .9 repeating as a fraction

Answers

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

you roll a die 100 times and a six shows up 74 times out of 100. based on these outcomes, what is the estimated probability that the next roll shows up as a six?

Answers

It is 74% or 74 by 100 or 0.74

Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?

How many trucks will Megan need to pack all 539 boxes? (show work )

Answers

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

What is the measure of the missing angle in this triangle
Yes

Answers

Answer:

The measure of the missing angle is 25 degrees.

Answer = 25

Sum of angles in a triangle is 180.

To find the missing angle:

180 - total of other given angles = missing angle

Total of other given angles = 155

180 - 155 = 25

someone please explain this

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)

A=1

B=2

C=1

D=-16

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Y=2x+9 it’s hard to explain but I’m pretty sure this is the answer


question attached , need help~

thx for answering ~

kindly stay away if u don't know the ans :) ~​

Answers

Answer:

I FOUND IT ACTUALY    22.857 lacs   $2,285,714

Step-by-step explanation:

do the formula

is/of = %/100

[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]

100*4=400

400/17.5=22.857

Answer:

Total worth of assets of the man = 22.86 lacs

Step-by-step explanation:

Let the man's assets = 100%

Given to the wife = 50%, so leftover 50%

From it given to 4 sons = 15%, so leftover 35%

From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%

17.5% = 4 lacs

100% = 4 x (100/17.5) = 22.8571

Round off to 2nd decimal place = 22.86 lacs

Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?


a

r = 0..8

b

r = 0.5

c

r = -0.2

d

r = -0.9

Answers

Answer:

D) r=-0.9

Step-by-step explanation:

Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.

Write as a single fraction in its simplest form.

Answers

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

How do I find the scale factor‼️‼️

Answers

Bro I got no clue
..........

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

PLEASE HELP MEEEEEEEE
Step 6: Problem solving with presents

a) If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work. (2 points)

Answers

7% of 100= 0.07
$300x0.07=$21
$300 of 7% sales tax is $21
$300+$21=$321 total purchase

What is the measurement of pie?

Answers

Answer: 3.14159

Step-by-step explanation:

If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?




pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION

Answers

[tex]\large\huge\green{\sf{Given:-}}[/tex]

length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

Area of triangle=??

[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]

Area of rectangle= lxb

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

➡Area of rectangle= lxb

➡Area of rectangle= (2x - 4) x (3x) cm²

➡Area of rectangle= 6x²-12x

If (-2,11) and (9,22) are two
anchor points on the trend line,
then find the equation of the line.
y = [ ? ]x + [

Answers

Answer:

The equation of the line is- y = x + 13

Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.​

Answers

Answer:

No, it is not a solution to the equation.

Step-by-step explanation:

If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.

3a +b= 8

When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],

LHS

= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]

[tex] = \frac{19}{3} + \frac{15}{3} [/tex]

[tex] = \frac{34}{3} [/tex]

[tex] \frac{34}{3} ≠8[/tex]

Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.

Given equation is 3a+b = 8

Given point = (19/9,15/3)

Put a = 19/9 and b = 15/3 in LHS of the given equation then

⇛ 3(19/9)+(15/3)

⇛(19/3)+(15/3)

⇛ (19+15)/3

⇛ 34/3 ≠ 0

LHS ≠ RHS

Given point not satisfies the given equation

Therefore, it is not the solution of the given point.

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