James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)

Answers

Answer 1

Answer:

88 people

Step-by-step explanation:

Start with the equation of

[tex]3,000\geq 33x+80[/tex]

subtract 80

[tex]3.000\geq 33x[/tex]

then divide by 33

[tex]88.48\geq x[/tex]

round down

[tex]x=88[/tex]


Related Questions

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

7. A computer shop sold $356,291 worth of computers. It
sold $43,720 worth of accessories. The shop wants to sell a
total of $400,000 worth of computers and accessories. How
much more money do they need to make?

Answers

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.

Answers

The slope of the line represents that the a distance of 55 miles is covered each hour

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance in miles covered in x hours.

Using points (2, 110) and (7, 385) from the table:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]

Therefore the slope of the line represents that the a distance of 55 miles is covered each hour

Find out more on linear equation at: https://brainly.com/question/14323743

Find the first three term if the general nth term is T = 2-n

Answers

Tn = 2n - 6

to find first term ,n= 1

substitute n for 1 in the equation

T1 = 2(1) - 6

T1 = 2 - 6 =-4

to find second term , n =2

substitute n for 2 in the equation

T2 = 2(2) - 6

T2 = 4 - 6 = -2

to find third term, n = 3

substitute n for 3 in the equation

T3 = 2(3) - 6

T3 = 6–6 = 0

FIRST TERM = -4

SECOND TERM = -2

THIRD TERM = 0

1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.

Answers

1)  The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]

when  [tex]m=10[/tex], [tex]15[/tex] more college hats were sold

2)  The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

[tex](2x+5)\text{ inches}[/tex]. The working is shown below.

1)    According to the question, [tex]m[/tex] is the number of months hats were sold.

[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months

[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months

Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]

the expression representing how many more college hats were sold than professional hats is

[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]

when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and

[tex]m+5=(10)+5=15hats[/tex]

[tex]15[/tex] more college hats were sold in [tex]10[/tex] months

2)  To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below

remove brackets

[tex]-12x+6-2x[/tex]

arrange like terms

[tex]-12x-2x+6[/tex]

simplify like terms

[tex]-14x+6[/tex]

The answer is (D)

3)  Let the length of one side of the square be [tex]s[/tex]

The perimeter will be  

[tex]4s=8x+20[/tex]

making [tex]s[/tex] the subject of the formula

[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]

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Select the correct answer.
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
52 lb
B.
180 lb
OC. 39 lb
OD. 193 lb

Answers

Answer:

193

Step-by-step explanation:

87 divided by .45

193.333333333

There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party

Answers

Answer:

There is 80 people still at the party

Step-by-step explanation:

To find how many people are still at the party we first have to find how much 1/3 of 120 is.

∴120/3=40

then we subtract 1/3 of 120 from 120 to get the answer

120-40=80

You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?

Answers

Answer:

adults 15 and children 9

Step-by-step explanation:

Are the given lines parallel? How do you know?

Y=0, x=1

And

X=-2, x=5

Answers

Answer:

those aren't limes, they're points.

Step-by-step explanation:

yeah-ya.......... right?

Pls answer these questions

Answers

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

Either b or d
Explanation

whats the slope of (-5,-11) and (-2, 1)

Answers

I believe it’s .75 or 3/4

Answer:

4

Step-by-step explanation:

Find the EXACT distance between the two points.



(4,7) and (−4,9)

Answers

ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]

Ok done. Thank to me :>

There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all

Answers

Answer:

5x5= 25

Step-by-step explanation:

help pleaseeeeeeeeeeeee​

Answers

Answer:

C

Step-by-step explanation:

if its not the same on both sides its not communitave. hope this helps

Whats the answer to these questions?

Answers

Answer:

Answer is in the attached file.

1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?

Answers

Answer:

The expected value is -$126- you should not buy the warranty.

Step-by-step explanation:

You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.

E(x)= (2800-350)(.8)+(-350)(.92)= -126

What is the value of this expression? 4/15+3/5−2/3 Quick

Answers

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

what are integer solutions to the equality below-2 < x < 2

Answers

Answer:

-1, 0, 1

Step-by-step explanation:

Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2

Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?

Answers

Answer:

A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.

B. He charges 50 dollars per hour because the slope of the equation is 50.

Step-by-step explanation:

May I please receive help?

Answers

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = [tex]\sqrt{23}[/tex]

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

You just need to multiply 12 ft by 11ft

Determine the period of the function y = -3cos(pi/5)x.

a. 3
b. 8
c. -3
d. 10

Answers

Answer:

Step-by-step explanation:

B

Answer:

10

Step-by-step explanation:

. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

Answers

✍ Question:

If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

✍ Answer:

>> If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

>> Therefore;

Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%

#CarryOnLearning

- Happy Holidays -

The percentage of boys in the class is 33.3%

If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

Percentage that are boys = (no.of boys/total students) x 100

10/30 * 100 = 33.3%

What's percent in math?

The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.

Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.

Learn more about percentages here: https://brainly.com/question/843074

#SPJ2

119/30
Simplified please help this is urgent

Answers

14/3 or 4(2/3) is the answer
Find the GCD (or HCF) of numerator and denominator
GCD of 119 and 30 is 1
Divide both the numerator and denominator by the GCD
119 ÷ 1
30 ÷ 1
Reduced fraction:
119
30

Therefore, 119/30 simplified to lowest terms is 14/3

In what grade do you learn this math equation? You don't have to solve, I'm just wondering

13t+6=12t+21

Answers

Answer:

I think in grade 6th or 7th I star it learning those types of equations

Maybe 8th or 7th grade I’m not sure

-12 + 2a = -6(1 + a) + 8a

Answers

-12 + 2a = -6 (1+a)?
Answer is 0 = 6

I need these answers for a worksheet I have and I would appreciate it if someone would help me out.
Question 1. You can combine like terms to ________ an expression.

Question 2. All ______ are like terms and can be combined.

Question 3. Terms with the same _____ are considered like terms.
Answer choices:
Constants

variables

simplify

Answers

you can combine like terms to SIMPLIFY an expression.

All CONSTANTS are like terms and can be combined.

Terms with the same VARIABLE are considered like terms

Three years ago Atul's age was four times Parul's age. After 5 years from now, Atul's age will be two times Parul's age. Find their present ages.​

Answers

Answer:

Parul's age=7 years

Atul's age=19 years

Step-by-step explanation:

Let present age of Parul be x

Let present age of Atul be y

3 years ago

Parul's age=x-3

Atul's age=y-3

5 years after

Parul's age=x+5

Atul's age=y+5

According to question

y-3=4(x-3)

y-3=4x-12

y-4x+9=0.....(1)

y+5=2(x+5)

y+5=2x+10

y-2x-5=0......(2)

from(1),y=4x-9

Put y in (2)

4x-9-2x-5=0

2x-14

2x=14

x=7

y=19

Parul's age=7 years

Atul's age=19 years

Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.

Answers

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

find area of parallelogram multiple choice

refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation

Answers

In ∆ABD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]

In ∆BCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]

Now

IN PARALLELOGRAM ABCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]

Option A

- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?

Answers

Answer:

8.95

Step-by-step explanation:

when you divide it 44.75 divided by 5 it willl appeer the price of only one

Answer:

$8.95

Step-by-step explanation:

44.75/5=8.95

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