For his parents' anniversary party, Dustin is considering using one of two venues. A hotel in Booneville will cost $993 for a reservation, plus $60 per person. A restaurant in the same city will cost $61 per person, in addition to $977 for the reservation. In order to make the best decision, Dustin figures out how many attendees it would take to have the venues cost the same amount. What would the total cost be? How many attendees would that be?

Answers

Answer 1

Answer:

862+76x=894+75x

x=894-862

x=32

C=862+76*32=$3294

The same amount would be with 32 guests.

The total cost would be $3294. That cost for the 32 guests.

Step-by-step explanation:


Related Questions

I can identify and use inverses to solve equations with one variable.

Answers

Answer:

[tex] \boxed{x = 4.0497}[/tex]

Step-by-step explanation:

[tex] \boxed{question \: \underline{4}.} \\ 5 {x}^{2} - 7(9.5 + 3) = - 5.5 \\ 5 {x}^{2} - 66.5 - 21 = - 5.5 \\ 5 {x}^{2} = - 5.5 + 87.5 \\ 5 {x}^{2} = 82 \\ {x}^{2} = \frac{82}{5} \\ {x}^{2} = 16.4 \\ x = \sqrt{16.4} \\ \boxed{ x = 4.0496913463}[/tex]

♨Rage♨........if you still need my help with the rest....then post each question seperatly.♨

The minute hand of a clock turns 6° per minute. In fifteen minutes the
minute hand turns what fraction of a full 360° turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25% of 360

Answer:3/12 1/4

Step-by-step explanation:hope it helps

Michael drives 660 miles in 10 hours. What is his average rate of speed in miles per hour (unit rate)?

A: 92 miles per hour

B: 35 miles per hour

C: 6 miles per hour

D: 66 miles per hour

Answers

Answer:

D

Step-by-step explanation:

He goes 66 MPH because 66 times 10= 660 MPH

Hopefully this helps!

Select all expressions that are equivalent to 6(b + 2) – b.

5b + 8

7b + 8

5b + 12

6b + 8 – b

6b + 12 – b

Answers

Expressions equivalent would be 6b + 8 - b.

The given expression is equivalent to -

6b + 12 - b 5b + 12

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

6(b + 2) – b

We can write this expression as -

6(b + 2) – b = 6b + 12 - b = 5b + 12

Therefore, the given expression is equivalent to -

6b + 12 - b 5b + 12

To solve more questions on algebraic expressions, visit the link below -

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3h2 + 8m for h = 3 and m = 2

Answers

Answer: 43!

Step-by-step explanation:

(12 + 5) + 32 × (10 − 5)

Answers

Answer: 177

Step-by-step explanation:

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?

Answers

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

If December 6 falls on a Saturday, then January 19 of the next year falls on which day of the week?

Answers

January 19 would fall on a Tuesday

Detyra 3: Takim me furnitorin
Rovena shkon me makinë nga restoranti
te furnitori i perimeve, 9 km larg. Secili nga
shokët mban shënim të gjitha udhetimet qe
bëhen në lidhje me restorantin dhe kohen
e shpenzuar në takime ne menyre qe
shpenzimet t'u rimbursohen dhe te dine sa
kohe po investojne
a Vizatoni një grafik të largesës në varësi te
kohës për udhëtimin e Rovenes
b Ne cilen orë kthehet ajo ne restorant
c Për sa kohë nuk ishte ajo ne restorant
Artesohun
50​

Answers

i cant understand please turn to enlish

A music store owner noted that CD sales had dropped 12% from one quarter to the next. If the owner sold 460 units in the first quarter, how many did she sell in the next quarter?

Answers

Answer:

404.8

Step-by-step explanation:

100%=460

12%=x

x=(12*460)/100

x=55.2

Answer=460-x

AYYYY HOLMES 100 POINTS BOISSS

Answers

Answer:

1) A

2) B

3) D

4) B

Step-by-step explanation:

1) Because 1 mile is 5280 feet one half of the proportion has to be 1/5280. The other half is 5/x

2) Multiply 1/2 * (10/2.5). This gets you 2

3) First find 4.5% of 545.00 (Multiply 545*.045) This gets you 24.525. Add this to 545, and you get 569.525. This can be rounded to $569.53

4) There seem to be 5 players for each coach. If there are 80 players, divide 80 by 5 to get the number of coaches. The final answer is 16

Answer:

1.) A.-  [tex]\frac{5}{x}[/tex]

2.) B.-  2

3.) D.- 569.53

4.) B.- 16

Step-by-step explanation:

-1.) His placement needs to be the denominator To be counted, Only Option "A." Has his value

-2.) Pints = 0.125-US liquid Gallon- For 10 gallons of gas he would need 2 Pints

-3.) Bringing 545.00 up by 45% Would leave us with- 569.53

-4.) We would need 16 couches for 80 softball players

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same. I hope this helps!!

170% x = 1.70
i need help :)

Answers

Answer:

2.89

Step-by-step explanation:

Answer:

2.89

Step-by-step explanation:

cuz other answer said this lol

Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?

Answers

Answer:

5 twenty's 1 five

Step-by-step explanation:

20 x 5 = 100

100 = 5 = 105

HELP!!!!i will give BRAINLIEST

Answers

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Select the correct answer.
Which point is a point where the graph of y= (x + 2)(x2 + 4x+3) crosses the x-axis?

Answers

Answer:

A. (-3,0)

Step-by-step explanation: you have to set the equation y to zero and than calculate the x

--> (x + 2)(x2 + 4x+3) = 0

--> (x+2) = 0 and (x2 +4x + 3) =0

--> X = -2 and        D= (4² - 4*2*3) = 4

                                      X = (-4 + [tex]\sqrt{4}[/tex]) / 2 of  X = (-4 + [tex]\sqrt{4}[/tex]) / 2

                                       x= -1                         x=-3

Answer:

The answer is (-3,0)

What is the measure of M?

Answers

Answer:

Is just a letter identifying the angle.

Since,Angles of a triangle sum up to 180 ,u add both the given numbers and subtract it from 180

Is 342 hundredths + 7 tenths < 3 + 49 hundredths?

Answers

Answer:

the answer is no

The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following
numbers below is the range of the ages?
A. 8
B. 5
C. 3
D. 18

Answers

Answer:

Range is 8

Step-by-step explanation:

To find range you need to subtract the largest number with the smallest. The largest is 28 and the smallest is 20.

28-20=8

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

Answers

Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

FEMALE REPRODUCTIVE SYSTEM (SE-7)

(have this done correctly for brainiest)

label the image with the words below.​

Answers

Answer:

reproductive

Step-by-step explanation:

Please help it's already late. Will mark brainliest for the first answer.

Answers

Answer:

check the first two and the last one

Step-by-step explanation:

you use multiplying/dividing and adding/subtraction to get the answer

10x+45x-13 = 11(5x+6)

55x-13 = 11(5x+6) combine like terms

55x-13 = 55x+66 distribute the 11 to the 5x and 6

-13 = 66 cancel out equal terms on both sides

the statement is false meaning there is equation has no solution

Answer:

check the first two and the last one

Step-by-step explanation:

What is 3 1/4: 1/4? How many 1/4's are there in 3 1/4?*
O 3
O 1/4
13
O 12

Answers

Answer: 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

There are 12 1/4s in 3

Add the extra 1/4 + 13 1/4s

Determine the slope of each of the ordered pairs below.

Answers

Answer: 26) slope= 5/4 27) slope= -1/7

Step-by-step explanation:

You use the formula y2-y1 over x2-x1 and get your slope.

What is the sum of 1/8 and (-3/16)

Answers

Answer:

D, or [tex]\frac{-1}{16}[/tex]

Step-by-step explanation:

To add (or subtract) fractions, you need to have a common denominator.

You might notice that the 16 on the bottom is a multiple of 8.

8*2 as a matter of fact

If we multiply [tex]\frac{1}{8\\}[/tex] by 1, it doesn't do anything, it stays as 1/8

1 is the same thing as [tex]\frac{1}{1}[/tex] and is also the same as [tex]\frac{2}{2}[/tex]

If we multiply [tex]\frac{1}{8}[/tex] by [tex]\frac{2}{2}[/tex], we get a bigger fraction, which is [tex]\frac{2}{16}[/tex]

So, our problem can be re-written as [tex]\frac{2}{16}+(-\frac{3}{16} )[/tex]

To add (or subtract) fractions with common denominators, you keep the common denominator and add (or subtract) the numerator.

[tex]\frac{2}{16}+(-\frac{3}{16})=\frac{2-3}{16}=\frac{-1}{16}[/tex]

The last step is to see if our answer can be reduced.

A fraction can't be reduced if there is a prime number in either the numerator or the denominator.

There is a -1 in the numerator, which is prime, and therefore, the fraction can't be reduced.

The original price of pair of jeans is $40. The sales prices is 20% off the original price. What is the discount? Answer must be listed in $ form.

Answers

Answer:

The discount is $20 off or 50% off.

Step-by-step explanation:

It is easy math.

12=r-(34-2) equation

Answers

r= 44
Just distribute the negative sign to 34 and 2, and then solve the equation like usual

Somebody help me find a

Answers

Answer:

44°

Step-by-step explanation:

In the first triangle, the third angle is 180-95-39=46.

It has a congruent angle in the second triangle.

So the second triangle is 180-90-46=44°

a=44°

PLease help me and fast please....

Answers

It’s the first one, 0.00027

Answer:

a

Step-by-step explanation:

6 More Than a Number is 14 what is the number?​

Answers

Answer:

8

Step-by-step explanation:

a+6=14

a=14-6

a=8

Therefore

8+6=14

These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6

Answers

Answer: -15

Step-by-step explanation:

The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.

What is quadratic function?

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:

y = a(x - 0)^2 + 3

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):

2 = a(1 - 0)^2 + 3

Simplifying this equation, we get:

a = -1

So the equation for the quadratic function is:

y = -x^2 + 3

Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:

y = -7^2 + 3 = -46

The value of the function at x = 8 is:

y = -8^2 + 3 = -61

The average rate of change between x = 7 and x = 8 is:

(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15

Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.

For more details regarding quadratic equation, visit:

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