Sophia's retirement party costs $2 ,plus an additional $3 for each guest she invites.What is the maximum number of guests there can be if Sophia can afford to spend a total of $35 on her retirement party?

Answers

Answer 1

Answer:

11

Step-by-step explanation:

Sophia can only have 11 guest max at the retirement party if she can only afford to spend $35.

Given: $2 cost of party

Needed: How many guests

$3 per guests multiplied by 11 guests is $33

add that to the original (given) cost of party the total is

$35

3 times 11=33

33+2=35


Related Questions

Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range

Answers

Answer:

B

Step-by-step explanation:

B is the answer .

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]

Step-by-step explanation:

The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.

⋆┈┈。゚❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀゚ུ۪。┈┈⋆

Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2

Answers

Step-by-step explanation:

the only thing youre missing is

radius = diameter / 2

Answer:

78.54 cm squared

Step-by-step explanation:

A=πr^2

Since they only give the diameter, divide the diameter by 2

π*25 = 78.54

Have a good day :)

Y'ALL PLEASE HELP ME I REALLY NEED HELP!!!
ALL LINKS WILL BE DELETED !!
Which congruence statement correctly compares the two triangles shown? Question options:
A) ΔADB ≅ ΔBCD
B) ΔABD ≅ ΔCDB
C) ΔDBA ≅ ΔDBC
D) ΔABD ≅ ΔBDC

Answers

Answer:

c

Step-by-step explanation:

ΔABD is congruent with ΔCDB.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

A figure that contains two triangles.

Two triangles ΔABD and ΔCDB

AB = CD (given)

BAD = DCB (given)

AD = CB (given)

By SAS rule

ΔABD ≅ ΔCDB

Thus,

ΔABD ≅ ΔCDB

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Alberto ran at a speed of 3 m/hr. After he ran 6 miles, Omar ran in the same direction with a speed of 4.6 m/hr.
How many hours will it take Omar to catch up to Alberto.

Answers

Answer:

1.3 Hours (1 Hour and 18 Minutes)

Step-by-step explanation:

It took Alberto 2 hours because he ran 3 miles an hour and the total distance he ran was 6 miles.

Now, you have to divide 6 (Alberto's distance) by 4.6 (Omar's rate) and you get 1.3043.

Round the answer to get 1.3

Answer:  jjijmjn

Step-by-step explanation:

I need help I’m not totally understand what to do

Answers

Answer:

c ------ 1/3(40) ft^3

Step-by-step explanation:

searched the formula for volume of a cylinder

The number of eggs in the refrigerator e decreased by 9 equals 17.
Enter an equation to represent the situation.
The equation is

Answers

Answer:

x-9=17

Step-by-step explanation:

x=eggs in the fridge

Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)

Answers

Answer:

[tex]1.051[/tex]

Step-by-step explanation:

The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]

Substituting given values, we have:

[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]

60=70-h I can't seem to find my answer and it a bit hard

Answers

Answer:

10

Step-by-step explanation:

We need to solve the equation . The equation is z

→ 60 = 70 - h

Subtracting 70 both sides .

→ 60 - 70 = 70 - h - 70

→ -10 = -h

Dividing both sides by -1 .

→ -h/-1 = -10/-1

h = 10

Hence the value of h is 10 .

R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ The tower is 18m due north of S and 24m east of R. The angle of elevation of Q from S is 35°.Calculate the height PQ.

Answers

Answer: [tex]12.6\ m[/tex]

Step-by-step explanation:

Given

Distance of Point S is 18 m from tower

Distance of point R is 24 m form tower

Suppose the height of tower PQ is h

angle of elevation of Q from S is [tex]35^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]

The equation y = 7.25x models the amount in dollars, that Lisette earns per hour at her part-time job. The table
shows the amount that Nataly earns at her job.

Hours | Total Pay
2 - $14.70
3 - $22.05
7 - $51.45

What is the difference in the amounts earned per hour?

Answers

Answer:

as the amount of hours increases, the earned amount of $ decreases by .10

Step-by-step explanation:

Consider the following functions. (See attachment)
Find the area of the region.

Answers

Answer:

Area:  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Area - Integrals

Area under a curveArea between 2 curves

Integration Rule [Reverse Power Rule]:                                                                   [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

U-Substitution

Area of a Region Formula:                                                                                       [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify functions

[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]

[tex]\displaystyle g(x) = x - 9[/tex]

Step 2: Identify Info

Graph the functions - See Attachment

[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function

[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function

Step 3: Find Area Pt. 1

Set up integrals [Area of a Region Formula]:                                                 [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]:                   [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]:                                        [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]:                                                                 [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract:                                                                                                            [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]:                                                     [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]

Step 4: Identify Variables

Identify variables for u-substitution.

u = x - 9

du = dx

Step 5: Find Area Pt. 2

[Integrals] U-Substitution:                                                                                 [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]:                      [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]:                                                                 [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify:                                                                                                              [tex]\displaystyle A = \frac{1}{2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integrals - Area between 2 curves

Book: College Calculus 10e

Please help! I will give Brainliest!

Answers

Answer:

p(not L) = 7/8, 0.875, 87.5%

Step-by-step explanation:

8 letters in total

7 are not L

p(not L) = 7/8, 0.875, 87.5%

(Precalc/Trig) Please help! Find the value of this expression (in photo)

Answers

Answer:

The exact value is 3

Step-by-step explanation:

1. You simplify the equation by factoring 2 from the first two terms

2. Apply Pythagorean to make the equation 2 * 1 + csc^2(π/5) - cot^2(π/5)

- Then apply Pythagorean again to make the equation 2 * 1 + 1

3. Simplify and you get 3

Hope this helps :)  

find the solution set of 1/3x-4≤ 2+x​

Answers

1/3x*3-4*3≤ 2*3+x*3

x-12≤6+3x

-12-6≤3x-x

-18/2≤2x/2

-9≤x

OR

1÷3x-4≤ 2+x

x-12≤6+3x

-12-6≤3x-x

-18/2≤2x/2

-9≤x

Answer:

[-9 ≤ x] or [x ≥ -9]

Step-by-step explanation:

QUESTION :-

Find the solution set of →  [tex]\frac{1}{3} x - 4 \leq 2+ x[/tex]

SOLUTION :-

Simplify the L.H.S.

[tex]=> \frac{x-12}{3} \leq x + 2[/tex]

Multiply both the sides by 3

[tex]=> \frac{x - 12}{3} \times 3 \leq 3(x + 2)[/tex]

[tex]=> x - 12 \leq 3x +6[/tex]

Substract 'x' from both the sides

[tex]=> x - 12 - x \leq 3x + 6 -x[/tex]

[tex]=> -12 \leq 2x + 6[/tex]

Substract 6 from both the sides.

[tex]=> -12 - 6 \leq 2x + 6 - 6[/tex]

[tex]=> -18 \leq 2x[/tex]

Divide both the sides by 2.

[tex]=> \frac{-18}{2} \leq \frac{2x}{2}[/tex]

[tex]=> -9 \leq x[/tex]  or  [tex]x \geq -9[/tex]

When is 149 dollars in Hondurans

Answers

Answer:

3,590.16 Honduran Lempira.

2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:

Answers

Answer:

A

Step-by-step explanation:

The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5

Answers

A. 21.5
Bc if u go to college and take a more advanced math and your 18-19 when u graduate high school and people may take a break or look for a job then apply then u would be around 21.5

Let f(x) = x – 5 and g(x) = 3x – 7. Find f(x) + g(x).



Show your work

Answers

Answer:

4x+2

Step-by-step explanation:

When you try to evaluate the expression f(x) + g(x). You just evaluate the problem x-5+3x-7.

When it as been evaluated you will get 4x+2

Work out the size or angle X

Answers

Answer:

180-132

Step-by-step explanation:

the entire angle should sum to 180

Answer:

48 °

Step-by-step explanation:

132° + x° = 180°        (Linear pair)

∴ x° = 180° - 132°

∴ x° = 48°

Hope this helps :)  !!!

PLEASE HELP!

can you help me with these math questions im struggling on :,)?

Answers

Answer:

Step-by-step explanation:

Multiply by 2

please solve this simple equation: a+3=−3​

Answers

Step-by-step explanation:

a+3=−3

a=-6

!!!!!!!!!!!!!

Answer:

A= -6

Step-by-step explanation:

A+3=-3

A= -3 -3

A= -6

Need help on this one plz

Answers

Answer:

3 15/18

Step-by-step explanation:

well, 4 5/18 can't take away 8/18 with the fraction itself. so, you take 5 from 8 and get -3. then, take one whole number away and subtract the 18 from 3 (this was the negative 3) and you have the answer. so to conclude it 5 cant take away 8 so its like carrying. you take one whole number that is 18/18 and you subtract the 18 from 3.

Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.​

Answers

If it end in 5 it will always be rounded UP to the nearest tens. So, the answer is 90.

A line goes through the points (0, -2) and (5, 18). What is the slope of the line?​

Answers

Answer:

[tex]\displaystyle m = 4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 18)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{18--2}{5-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{20}{5}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 4[/tex]

If you were the number keep 660 times how many times will you likely roll a two or five

Answers

Answer:

220

Step-by-step explanation:

a dice has 6 sides

660 divided by 6 = 110

you asked for 2 numbers so

110 times 2 = 220

Find the perimeter and area of a rectangle with a width of 2 feet and a length 3 times as long.

Answers

Answer:

Length = Width * 3

Width = 2 ft

Length = 2 ft * 3 = 6 ft

Perimeter = (L * 2) + (W * 2)

P = 16 ft

Area = L * W = 12 square feet

In the diagram, the sum of the values of r and z is 116.
bo/20
xo
What is the value, in degrees, of y?
Enter a number in the space provided.

Answers

Answer: 122 degrees

Step-by-step explanation:

Don’t feel like explaining.

Farmer Brown grows corn on his 110 acre farm. The yield for his farm is 17,600 bushels of corn. Farmer Diaz grows wheat on his farm. He plants 250 acres of wheat and has a yield of 13,750 bushels. What is the difference in the density per acre of the wheat and the corn?

A.35
B.105
C.140
D.3850

Answers

Answer:

Difference of density per acre of wheat and corn = 105

Step-by-step explanation:

Given:

Yield in 110 acre farm = 17,600 Bushes of corn

Yield in 250 acre farm = 13,750 Bushes of wheat

Find:

Difference of density per acre of wheat and corn

Computation:

Yield per acres Bushes of corn = 17,600 / 110

Yield per acres Bushes of corn = 160

Yield per acres Bushes of wheat = 13,750 / 250

Yield per acres Bushes of wheat = 55

Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat

Difference of density per acre of wheat and corn = 160 - 55

Difference of density per acre of wheat and corn = 105

Which graph shows a dilation?

Answers

Answer:

Hello! Mizuki here to answer!

The correct answer would be the first option!

Step-by-step explanation:

Remember, dilation is when a shape gets bigger/smaller.

In this case, the first option would be the only dilation.

The base of a rectangular prism has a base of 15 square cm. The height of the prism is 5 cm. What is the volume of the rectangular prism?

Answers

Step-by-step explanation:

eyeyeyeyeyyeyeyeyeeyeyeueueuryryru

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read the life history of Prithviraj Chauhan from various sources of book or internet and write in about 500 to 600 write a Pythagorean triplet whose one number is 15 In the Eastern Orthodox church, icons werea. once forbidden.b. always against religious law.c. never important.d. iconoclasts. Shameeka is setting up a computing system for predicting earthquakes based on processing data from seismographs (devices that record earth movements). The system will start off with data from local seismographs but eventually handle millions of data points from seismographs worldwide. For her system to work well, what is an important feature What 1980s President was a former actor who greatly increased military spendingand helped to bring about the end of the Cold War? p. 263Bill ClintonRonald ReaganJimmy CarterGeorge W. Bush Dicen que fulano de tal no tiene queHablar mierda pa' pegar to'a sus cancione' (ah?)Pues, yo s, as que cguense en su madre con tu' opinione' (brr)Yo ni quera cantar, ya me iba a retirarPero el momento e' perfecto pa' virar (pa' virar)Haca falta algo controversialHay un vaco sin m, que no se va a llenar (ah?)De espalda me pueden apualar (brr)Lo' nmero' lo' pueden manipular (ah?)Pero estoy bookea'o por do' ao'Un concierto mo ahora mismo ni se puede bookear (jaja)El dinero no e' fiel, yo no soy AbelYo vivo en guerra con Lucifer (brr)Y si vuelvo preso, la historia repiteTo' el mundo va a estar gritando: "Free Anuel" (brr) -Anuel Aa please help due today Why should journalists follow the FCCs rules?A. To avoid being finedB. To stay on the airC. Because theyre told toD. Both a and b law/ legislation that protects citizens against xenophobia 1. What are 10 words (nouns or adjectives) that describe or are associated withbutterflies?2. Why do you think a child living in a ghetto (basically a concentration camp forchildren, NOT the same way 'ghetto' is used today) would write a poem about abutterfly? Plz help me a b c or d is a greater than, less than or equal to 43?43Choose 1 answer:A> 43B< 432 = 43 which of the following types of tissue loading is produced by external loads applied toward one another on opposite surfaces in opposite directions Compare daily newspaper television newscast and internet news sites hello!!! ill give brainliest if you want but please answer correctly Pls help meh!!!!Which regression line properly describes the data relationship in the scatterplot? The 20% tip on a $73 meal How did the farmers free themselvesfrom the gold standard?A. They formed the Populist party to challenge the goldstandardB. They added copper to the gold standardC. The farmers sold all their gold in exchange for papermoneyD. The farmers had President McKinley eliminate the goldstandard Is 0.35 grater than 300 mL 2. Place these steps in the correct order to explainhow carbon moves between the atmosphere andthe biosphere in the carbon cycle.a. Organisms carry out cellular respiration,which converts glucose and oxygen tocarbon dioxide and water.b. Plants use water and carbon dioxidefrom the atmosphere to make glucoseand oxygen through photosynthesis.c. Some animals eat plants and storechemical energy from the plants intheir bodies.d. Carbon dioxide is released by organismsand moves into the atmosphere. One kilogram of water at 100 0C is cooled reversibly to 15 0C. Compute the change in entropy. Specific heat of water is 4190 J/Kg.K.