Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting the party hall. Choice B quotes $15 per guest, plus $160 for renting the party hall. Which inequality represents the number of guests Lisa can invite, if choice A were to cost less than choice B?

Answers

Answer 1

Answer:

x<20

Step-by-step explanation:

Answer 2

Building linear functions for each situation, the inequality is:

[tex]18x + 100 < 15x + 160[/tex]

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

Choice A:

$18 per guest.$100 for renting.

Thus, the cost of inviting x guests is given by:

[tex]C_a(x) = 18x + 100[/tex]

Choice B:

$15 per guest.$160 for renting.

Thus, the cost of inviting x guests is given by:

[tex]C_b(x) = 15x + 160[/tex]

A cost less than B, thus, the inequality is:

[tex]C_a(x) < C_b(x)[/tex]

[tex]18x + 100 < 15x + 160[/tex]

A similar problem is given at https://brainly.com/question/13270950


Related Questions


A basketball shaped like a sphere has a diameter of 8 inches. Which measurement is
to the volume of the basketball in cubic inches?

Answers

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Who watching temptation island, The oval and Ruthless tonight?

Answers

Answer:

MMEEEE but im SOOO behinnnd

Step-by-step explanation:

Answer:

Not me sorry.

Step-by-step explanation:

A car is purchased for £11 500 In its first year, the value of the car will depreciate by 15%. Each year after that, the value of the car will depreciate by 10%. What is the value of the car at the end of 3 years?

Answers

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

                                               

What is the distance from -36 to 36 on a number line?

Answers

Answer:

The distance is 20

Step-by-step explanation:

The dimensions of an ancient Egyptian rug are 6 feet by 8 feet. Priscilla is creating a drawing of the rug with the scale 4 cm = 1 ft. What are the dimensions of Priscila's drawing in cm?

Answers

Answer:

12 x 18 CM.

Step-by-step explanation:

Because 3 cm is 1 ft  so if it is 4 you multiply that by 3 which equals 12 , and for 6 feet you multiply that by 3 cm  and get 18. SO it is 12 x 18 cm.

What is another word for making something larger in a dilation

Answers

Answer:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment develop

Step-by-step explanation:

expand enlarge

inflate lengthen

stretch broaden

open amplify

augment  develop

Can you answer plz
у = х + 3
у =-2x-3

Answers

Answer:

x = - 2, y = 1

Step-by-step explanation:

Comparing both the equations,

→ y = y → x + 3 = - 2x - 3

=> x + 3 = - 2x - 3

=> x + 2x = - 3 - 3

=> 3x = - 6

=> x = - 6/3 = - 2

Substitute the value of x in any of these:

=> y = x + 3 = - 2 + 3 = 1

Answer:

Step-by-step explanation:

If a solution exists for the system of equations y=y so we can say

x+3=-2x-3 Add 2x to each side

3x+3=-3 Subtract 3 from each side

3x=-6. Divide each side by 3

x=-2, since y=x+3

y=-2+3

y=1

So the solution to the system of equations is the point (x,y)=(-2,1)

HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?

Answers

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

p(x)= 4x^3 -3x^2+5x-2​

Answers

Answer:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

A student made a chart to classify plates by the types of boundaries. What
crustal feature is most likely found between the Pacific and North American
Plates? *
Plates at boundary
South American/African
Eurasian/Pacific
North American/Eurasian
Pacific/North American
Type of boundary
Divergent
Convergent
Divergent
Transform
Your answer

Answers

Answer:

trench

Step-by-step explanation:

4. Which expression is equivalent to - (6x + 9) - (x - 2)?
A. 5x - 3
B. - 2x + 7.5
C. -4x - 3
D. -4x - 6

Answers

A because 6x + 9 - x + 2 = 5x + 11

If nkf ~ lzf, find nf, please help me with this it’s due tmr!!!!

Answers

Answer:

NF = 25

Step-by-step explanation:

Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.

This means that:

KF/ZF = NF/LF

KF = x + 3

ZF = 4

NF = 15 + x + 3 = x + 18

LF = x + 3

Plug in the values into the equation

(x + 3)/4 = (x + 18)/(x + 3)

Cross multiply

(x + 3)(x + 3) = (x + 18)(4)

x² + 3x + 3x + 9 = 4x + 72

x² + 6x + 9 = 4x + 72

x² + 6x + 9 - 4x - 72 = 0

x² + 2x - 63 = 0

Factorize to find x

x² + 9x - 7x - 63 = 0

x(x + 9) -7(x + 9) = 0

(x + 9)(x - 7) = 0

x + 9 = 0 or x - 7 = 0

x = -9 or x = 7

We'd use the positive value of x, which is 7.

Therefore, x = 7.

✅NF = 15 + (x + 3)

Plug in the value of x

NF = 15 + (7 + 3) = 15 + 10

NF = 25

Solve using Square Roots.

16x² - 34=15

Answers

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

Which line plot displays a data set with an outlier?

Answers

The first one (top left)

Answer:

the answer is on the top right  with 10-19 one dot on 10 and 1 on 19

Step-by-step explanation:

just did the test and got it right let me know if you  need more help

1 pizza costs $0.50 to make. They sell it for $12. Find the percent markup.

Answers

Answer:

ok let me try this again

To explain a markup, let's use an example: Let's say you purchase a box of paper that costs one dollar. You aim for a profit of 50%. By multiplying the cost by 50%, you get $0.50. This is your markup price. Add that to the price that you paid to purchase the box of paper, and now the total is $1.50. This is the selling price of the box of paper. Therefore, your markup percentage is 50%.

did that help i was not a faker though i was just trying to explain it to him/she better and can i have brainlist please

What is / are the coefficients in this expressions? 3a+7-8n

Answers

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

How do I know where to put numbers on a graph

Answers

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.

Answers

Given:

The equation of a circle is

[tex]x^2+y^2=169[/tex]

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

[tex]m_1=\dfrac{5-0}{12-0}[/tex]

[tex]m_1=\dfrac{5}{12}[/tex]

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times \dfrac{5}{12}=-1[/tex]

[tex]m=-\dfrac{12}{5}[/tex]

Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .

Given that R=7x+5Y find Y when X=9 and R=35 give your answer as an improper fraction in its simplest form


Please help

Answers

Answer:

y = -28/5

Step-by-step explanation:

R = 7x +5y

35 = 7(9) + 5y

35 = 63 +5y

-5y= 63- 35

-5y/-5 = 28/-5

Y = -28/5

Answer:

Y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given

R = 7X + 5Y ← substitute X = 9, R = 35

35 = 7(9) + 5Y

35 = 63 + 5Y ( subtract 63 from both sides )

- 28 = 5Y ( divide both sides by 5 )

- [tex]\frac{28}{5}[/tex] = Y

56,000 is what percent of 70,000?

Answers

Answer:

39200000

Step by step explanation is in the photo

hello can someone pls help me? its 8th grade math :]
"simplify the expression, write answer using a positive expression"
(3/7)^-7 x (3/7)^-1 % (3/7)^3=( ? )(^?)

thanks so much!

Answers

i think 7/3 ^5 lolllllllllllllllllllll

Please I need help with this asap!!! I will mark you as brainliest if right!!! Explain!!

Answers

9514 1404 393

Answer:

  not similar

Step-by-step explanation:

For the triangles to be similar, at least two angles must match. Here, there is an 81° angle in both triangles. This means the sum of the remaining two angles must be ...

  180° -81° = 99°

If the missing angle in either triangle matched the other given angle in the opposite triangle, the sum of those would be 60° + 40° = 100°, not 99°. This triangle pair does not have two matching angles, so the triangles are not similar.

ABC angles: 60°, 81°, 39°

FED angles: 59°, 81°, 40°

(8+6×6)/11+7×2 plssssssssssssss anyoneeeeee

Answers

Answer:

it 18

Step-by-step explanation:

:D

Help! Will mark brainliest to whoever puts the answer first!

Answers

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Please answer and show all work ​

Answers

Answer:

брате, заткнись, блядь, знай, хтось дбає про твої дивні тли

Step-by-step explanation:

Write an integer to match the following descriptions. a. A debit of $40 b. A deposit of $225 c. 14,000 feet above sea level d. A temperature increase of 40°F e. A withdrawal of $225 f. 14,000 feet below sea level

Answers

Hi I’m trying to help but I can’t find this

Glee

Hehehejdjjdhchchhdhd

. In a school 58of the students are boys. If there are 240 girls. Find the total number students in the school

Answers

You add boys and girls together. 58+240=298

pls help i will rate u 5 stars and possibly mark u brainless HELP PLS.​

Answers

2,340 is the correct answer because all you have to do is just multiply all the sides to get your area.

expand 2x(5x+4) please

Answers

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

What is the volume???

Answers

Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

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