Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use charges $13.50 per plate of food and an additional fee of $540 to cover linens and tableware. The total bill for the catering services is $1,512. Which equation can be used to determine the total number of guests, g, who attend the dinner party? 13.50g + 540 = 1,512 13.50g - 1,512 = 540 5400g + 13.50 = 1,512 540g - 1,512 = 13.50

Answers

Answer 1
13.50g+540=1512 

hope this helps :)
Answer 2

Answer:

The equation can be used to determine the total number of guests is 13.50g + 540 = 1512  and the total number of guest are 72 .

Step-by-step explanation:

As given

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation.

The catering company she plans to use charges $13.50 per plate of food and an additional fee of $540 to cover linens and tableware.

The total bill for the catering services is $1,512.

Total number of guests, g .

Than the equation becomes

1512 = 540 + 13.50 g

1512 - 540 = 13.50 g

972 = 13.50 g

[tex]g = \frac{972}{13.50}[/tex]

g = 72

Therefore the equation can be used to determine the total number of guests is 13.50g + 540 = 1512  and the total number of guest are 72 .


Related Questions

There are 18 boys and 60 girls working on a community service project. they work in groups where each group has the same number of boys and the same number of girls. what is the first step to finding the greatest number of groups​ possible? what is the greatest number of groups​ possible? what is the first step in finding the​ solution?

Answers

First you need to list the factors of each number

18: 1,2,3,6,9,18
60:1,2,3,4,5,6,10,12,15,20,30,60
Look for the common, in this case is 6
Solution is 6 groups, 3 boys and 10 girls on each group



Which expression is equal to (−12−2i)+(2+2i)?



10−4i
−10−4i
−10
10

Answers

(-12 - 2i) + (2 + 2i)
= -12 - 2i + 2 + 2i
= -12 + 2 - 2i + 2i
= -10

Answer: -10

Answer:

-10!

Step-by-step explanation:

If CDEF ≅ MNPQ, then EF≅ _____



.


PQ.


QM.


MN.

NQ

Answers

Your answer would be PQ 

Final answer:

In the context of congruent polygons, side EF of polygon CDEF is congruent to side PQ of polygon MNPQ due to the corresponding order of sides in congruent figures.

Explanation:

The question refers to congruent figures in geometry, specifically congruent polygons. If polygons are congruent, all corresponding sides and angles are congruent as well. Therefore, if CDEF ≅ MNPQ, then side EF must be congruent to the side of polygon MNPQ that corresponds to EF in the order of letters given. Following the order, side EF corresponds to side PQ.

the expression 12x+15x-11x can be combined because of which property
A. commutative property of addition
B. distributive property
C. additive inverse property
D. multiplicative property

Answers

Final answer:

The expression 12x+15x-11x can be combined using the associative property of addition.

Explanation:

The expression 12x+15x-11x can be combined by using the associative property of addition.

First, combine the like terms which have the same variable, in this case 'x'. Add the coefficients of the like terms, which are 12, 15, and -11. 12x + 15x - 11x = (12 + 15 - 11)x = 16x.

Therefore, the simplified expression is 16x. The associative property of addition allows us to group the terms in any order and still get the same result.

Final answer:

The expression 12x + 15x - 11x can be simplified due to the associative property of addition, enabling terms to be grouped and combined to yield a simplified form of 16x. The correct option is not provided in the choices, but would be the associative property, not listed in the student's options.

Explanation:

The expression 12x + 15x - 11x can be simplified by combining like terms, which is possible because of the associative property of addition. This property allows us to group numbers in an addition expression in any way we choose without changing the result.

Therefore, using the associative property, we can group and combine the terms with 'x' to get (12x + 15x) - 11x, which simplifies to 27x - 11x, and then further to 16x.

The correct answer to the question is Option A: associative property of addition, though it is important to note that this option was not listed in the initial question provided. The commutative property allows us to change the order of the terms without changing the result, but does not directly apply to the combination of like terms.

Nevertheless, both the associative and commutative properties are used when combining like terms in algebra.

How to solve on a road map of pennsylvania, the disatance from philadelphia to washington,
d.c. is 6.8 centimeters. the map scale is 2 cm;40 mi. what is the actual distance between the cities?

Answers

the answer is 152 Miles

Robert bought his car 4 years ago.
Each year the value of the car has depreciated by 15%.
The car is now $6264
Calculate how much the car was worth when he bought it.

Answers

If i'm correct. it should be $10,022.40

Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answers

Part A: M = 12x. (x hours at the rate of $12/per hour) Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per hour plus y hours at the rate of $15 per hour) Part C: Let us first find out the amount earned through regular working hours and overtime hours. Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360 The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10 Total hours worked during the week = 30 + 10 = 40.

A bus traveled 472 miles at a constant rate in 16 hours. What was the speed of the bus?
miles per hour

Answers

You divide the amount of miles given by the hours spent to get the speed of the bus per mile
[tex]472 \div 16[/tex]
Your final answer should be 29.5 m/hr

Answer:

29.5 miles per hour.

Step-by-step explanation:

We have been given that a bus traveled 472 miles at a constant rate in 16 hours. We are asked to find the speed of the bus.

We will use speed formula to solve our given problem.

[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\text{Speed}=\frac{472\text{ Miles}}{16\text{ hours}}[/tex]

[tex]\text{Speed}=\frac{29.5\text{ Miles}}{\text{ hour}}[/tex]

Therefore, the speed of the bus is 29.5 miles per hour.

The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.

Answers

1/x + 1/3x = 1/3
3+1=x
x=4

What is the sum of 4 times a number and 3 is bigger than 15, but also -21 at most?

Answers

4x + 3 + 15 - 21
4x + 18 - 21
4x - 3
Answer: 4x - 3

which conjunction or disjunction is equivalent to the given absolute value inequality?
|x + 2| > 16

a. x + 2 > 16 and x + 2 < - 16
b. x + 2 < 16 and x + 2 > - 16

Answers

The correct answer is A.  When dealing with an absolute value inequality, you want to flip the positive to a negative sign, as well as flip the inequality sign.

Answer:

a.

Step-by-step explanation:

|x+2|>16

x+2>16 or x+2<-16

So, tecnically a and b are incorrect, but if you change the "and" to "or" the correct would be a.

Rose leaves her apartment to take her dog for a walk. She goes 3 blocks due south, 8 blocks due east, 5 blocks due north, and 8 blocks due west. At this point, where is Rose in relation to her apartment?

Answers

work shown above! in the end she is 2 blocks north of her apartment. hope this helps c:

Answer:

3 blocks due west

Step-by-step explanation:

Management theories of leadership focus on which of the following?

A. Situations <--- My Answer

B. The leader's style

C. Rewards and punishments

D. Relationships

2. In which conflict style do people often have a firm idea of what they want to see happen and they will fight to make that happen?

A. Collaborative

B. Competitive

C. Compromising

D. Accomodating

3. With a de-emphasizing approach to conflict, the focus is put on which of the following?

A. Areas of agreement

B. Differences in personality

C. Points of contention

D. All of the above

4. Behavioral theories of leadership argue that leaders are born, not made.

True

False

Answers

1) rewards and punishments
2)Competitive
3)Areas of agreement
4)True

Hope this helps!

What is x-intercept of the line with the equation 4×+2y=12?

Answers

3
to solve, plug in 0 for y

4x+2(0)=12
4x=12
x=3
The X-intercept is a point where the line crosses the X lines. That means it would be the point where Y=0. Then to find the X-intercept you only need to insert Y=0 into the equation. The calculation would be:

 4×+2y=12
4X+ 2 (0)= 12
4X =12
X=12/4 = 3

HELP PLEASE!

What is the value of f(−1) when f(x)=2x+2 ?


Enter your answer in the box.

f(−1)= ?

Answers

f (-1)= 2(-1)+2
f (-1)= -2+2
f (-1)= 0
[tex]f(x)=2x+2 \\f(-1)=2\cdot(-1)+2 \\f(-1)=-2+2=0[/tex]

what is the answer to y-3.5=-2.1

Answers

y - 3.5 = -2.1 
y = -2.1 +3.5 
y =1.4

The value of variable y in y - 3.5 = -2.1 is 1.4 .

Given , equation : y-3.5=-2.1

To get the value of y isolate the variable y.

y - 3.5 = -2.1

Combine like terms,

Take -3.5 from LHS to RHS . The sign will be changed from negative to positive.

y = 3.5 - 2.1

y = 1.4

Therefore the value of y that will satisfy the equation is 1.4 .

Know more about equations,

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What is the sum of the first five terms of the geometric series 3 − 6 + 12 − . . . ?

Hint: r ≠ 1, where a1 is the first term and r is the common ratio.
Hint: image attached

OPTIONS:

A) S5 = −136
B) S5 = −33
C) S5 = 12
D) S5 = 33

Answers

3-3*2+3*4-3*8+3*16 is tge answer

Heather's fish tank has 18 liters of water in it. she plans to add 4 liters per minute until the tank has more than 58 liters. what are the possible numbers of minutes heather could add water?

Answers

It tank will be filled up in 40 mins cause every min you fill in 4 liters. Don’t take my word for this make sure you check my work.

Find the area of the polygon with the given vertices. w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)

Answers

the verticle given here is tricky when you find the answer can you please let me know

There are 300 coins of the same type in two stacks. One stack is 380 millimeters tall. The other is 220 millimeters tall. Find the thickness of one coin

Answers

Total coins = 300

Total thickness of the two stacks is
380 + 220 = 600mm

The thickness of a coin is
(600 mm)/(300 coins) = 2  mm per coin.

Answer: 2 millimeters

The isotope calcium-41 decays into potassium-41, with a half-life of 1.03 × 10^5 years. There is a sample of calcium-41 containing 5 × 10^9 atoms. How many atoms of calcium-41 and potassium-41 will there be after 4.12 × 10^5 years?

Answers

The decay equation is of the form
[tex]N(t) = N_{0}e^{-kt}[/tex]
where
N₀ = initial amount
k = decay constant
t = time

The half-life is 1.03 x 10⁵ years. Therefore
[tex]e^{-1.03 \times 10^{5}k} = \frac{1}{2} \\-1.03 \times 10^{5}k=ln(0.5) \\ k=- \frac{ln(0.5)}{-1.03 \times 10^{5}} =6.7296 \times 10^{-6}[/tex]

Because N₀ =  5 x 10⁹ atoms, the number of atoms remaining when t  = 4.12 x 10⁵ years is
[tex]N = (5 \times 10^{9}) e^{-(6.7296 \times 10^{-6})(4.12 \times 10^{5})} = 3.125 \times 10^{8}[/tex]

Answer: 3.125 x 10⁸ atoms

The earnings of two employees are given below: Employee A: 6% commission on all sales Employee B: 4% commission on the first $80,000 and 8% on anything over $80,000 How much more does a straight commission employee make than the graduated commission employee for sales of $100,000?

Answers

A: (100000 x 0.06) = 6000

B: (80000 x 0.04) + (20000 x 0.08) =4800

A makes $1200 more than b

Hope this helps

Employee A makes $1,200 more than Employee B for sales of $100,000.

The earnings of Employee A are:

= Commission rate x Sales

= 6% x 100,000

= $6,000

The earnings of employee B are:

= Commission on first $80,000 + Commission on anything above $80,000

= (4% x 80,000) + (8% x (100,000 - 80,000)

= 3,200 + (8% x 20,000)

= $4,800

The difference is:

= Employee A commission - Employee B commission

= 6,000 - 4,800

= $1,200

In conclusion, Employee A makes $1,200 more than Employee B for sales of $100,000.

Find out more at https://brainly.com/question/24691073.

Given: Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Prove Angle 2 is congruent to Angle 4.

1. Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Reason: Given

2. Angle 2 and Angle 3 are supplementary. Angle 3 and Angle 4 are Supplementary.
Reason: ?

3. Angle 2 is congruent to Angle 4.
Reason: ?

Answers

Final answer:

Angle 2 and Angle 4 are congruent because they form a linear pair and their sum is 180 degrees.

Explanation:

Given that Angle 2 and Angle 3 are a linear pair and Angle 3 and Angle 4 are a linear pair, we can prove that Angle 2 is congruent to Angle 4.


 Since Angle 2 and Angle 3 are a linear pair, they form a straight line and therefore their angles add up to 180 degrees. So, Angle 2 + Angle 3 = 180 degrees. (Supplementary)
 Similarly, Angle 3 and Angle 4 are a linear pair, so Angle 3 + Angle 4 = 180 degrees. (Supplementary)
 By transitive property, if Angle 2 + Angle 3 = 180 degrees and Angle 3 + Angle 4 = 180 degrees, then Angle 2 + Angle 3 + Angle 4 = 180 degrees.
 Since the sum of Angle 2, Angle 3, and Angle 4 is 180 degrees, we can subtract Angle 3 from both sides of the equation to get Angle 2 + Angle 4 = 180 degrees.
 Therefore, Angle 2 + Angle 4 = 180 degrees, and since the sum of the angles in a straight line is 180 degrees, we can conclude that Angle 2 is congruent to Angle 4.

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the pattern below follows the rule "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row" what is the fifth value? a. 18 b. 12 c. 34 d. 66

Answers

Answer: a. 18

Step-by-step explanation:

Given phrase : "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row"

The recursive formula for the given phrase :-

[tex]a_n=2a_{n-1}-2[/tex]

The first term : [tex]a_1=3[/tex]

The second term : [tex]a_2=2(3)-2=4[/tex]

The third term : [tex]a_3=2(4)-2=6[/tex]

The fourth term : [tex]a_4=2(6)-2=10[/tex]

The fifth term : [tex]a_5=2(10)-2=18[/tex]

Hence, the fifth value of the pattern = 18

Answer:18

Step-by-step explanation:

Planes X and Y and points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?

0
1
2
3

Answers

No plane contains these points, as we can see on the image, point J does not belong to any of the shown planes.

How many planes contain points J, K, and N?

A plane contains a point if the point lies on the plane. For example, here you can see that plane X contains the points K and N.

But, if you look at the image, no plane contains the point J, then there is no plane that contains the 3 points J, K, and N, so the correct option is 0.

If you want to learn more about planes, you can read:

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Choose the correct slope of the line that passes through the points (−4, 8) and (−3, −6). (1 point)
7
−14
0
14

Answers

slope = (8 + 6)/(-4 + 3) = 14/-1 = -14
answer
−14

Answer:

-14

Step-by-step explanation:

Write the word sentence as an equation. Then solve. A number x multiplied by 2/5 is 3/20 .

Answers

2/5x=3/20
To solve, multiply both sides by 5/2.  The answer is x=3/8.
Final answer:

The given word sentence translates into the algebraic equation 2/5 * x = 3/20. Solving this equation returns x = 3/8 as the solution.

Explanation:

The word sentence 'A number x multiplied by 2/5 is 3/20' is translated into an algebraic equation as: 2/5 * x = 3/20. To solve for x, you could do cross multiplication or simply divide both sides of the equation by 2/5, which gives: x = (3/20) / (2/5). Simplifying this equation leads to: x = 3/20 * 5/2 = 15/40 = 3/8. Therefore, the solution to the equation is x = 3/8.

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Find f(-3) if f(x) = x^2.
-9
-6
6
9

It's not -6!!

Answers

f(-3) = (-3)²
= -3 * -3
= 9

Answer:

f(-3) = (-3)²

= -3 * -3

= 9

Step-by-step explanation:

if the discriminant of an equation is positive, which of the following is true of the equation?
A. it has one complex solution
B. it has two real solutions
C. it has one real solution
D. it has two complex solutions

Answers

D>0 that means it has two real solutions (unequal). 
It can have one solution only if D=0 and complex solutions only if D<0. 

D means discriminant

Answer: B it has two real solutions

hope this helps :)

two workers paint lines for angled parking spaces. One worker paints a line so that m<1= 65. The other worker paints a line so that m<2= 65. Are their lines parallel? Explain

Answers

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