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

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

v = l * w * h

v = x * 22 * 28

v = 616x

Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance​

Answers

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

Use the translation rule (x, y) --> (x -10, y + 6) to find the image of A(5, - 10).

Answers

Answer:

(-5, -4)

Step-by-step explanation:

Plugin the values:

(x, y) ⇒ (x -10, y + 6)

= x - 10, y + 6

= (5 - 10, -10 +6)

= (-5, -4)

Therefore, A prime is (-5, -4).

Work out the percentage change to 2 decimal places when a price of £60 is increased to £89.99.

Answers

Answer:

49.98%

Step-by-step explanation:

Original price: £60

New price: £89.99

The difference in prices: £89.99 - £60 = £29.99

£60 - 100% (the original price)

£29.99 - x  (the % that we want to calculate)

29.99 × 100 = 2999

2999 ÷ 60 = 49,9833333

Solve the following:
2x - 7 = x + 3
4 3

Answers

Answer:

x = 10

Step-by-step explanation:

2x - 7 = x + 3

=> 2x - 7 = x + 3

=> x = 10

Therefore, x = 10.

Hoped this helped.

Answer: x=350

Step-by-step explanation:

What if it’s not correct or not ?

Answers

Answer:

what is correct or not

connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow

Answers

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

The science club has 25 members and 40% of the girls how many girls are in the science club

Answers

Answer:

Step-by-step explanation:

25*40/100 = 10

Answer: 10

Step-by-step explanation:25*0.4=10

For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax?

Answers

Answer:

6

Step-by-step explanation:

19+22 =41256-10=246246-/41=6I hope this helps :)

The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?

Answers

Answer:

34.1°f

Step-by-step explanation:

just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day

Decimal Addition/Subtraction.

Answers

Answer:

D. 1.175L

Step-by-step explanation:

one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot​

Answers

Answer: C. 3 feet

Step-by-step explanation:

1 yard is equivalent to 3 feet.

please explain why. Thanks

Answers

Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and

f(x) = x³ - 3x² - x + 7 , then

f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1

Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)

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

Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.

Answers

The equation that can be used to determine the sales price of the bracelets is $22.5

Amount in her account = $150

Amount in her account after sales = $235

Change in account balance = $235 - $150

= $85

cost of necklace = $22.5

let

bracelet = x

necklace = y

The equation:

Total sales = 5x + y

85 = 5x + 22.5

85 - 22.5 = 5x

62.5 = 5x

x = 62.5/5

x = $12.5

Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5

Learn more about equation:

https://brainly.com/question/4916384

1/4 5/8 1/2 least to greatest

Answers

Answer:

1/4, 1/2, 5/8

Step-by-step explanation:

1/4, 1/2, 5/8

Answer:

1/4,1/2,5/8

Step-by-step explanation:

because 1/2 is 0.25 and 1/2 is 0.50

Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87

Answers

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]

Goran bought a sofa on sale for $172.80. This price was 36% of the original price.
What was the original price?

Answers

36% in decimal from it .36
172.80 + .36 = 173.16
So original price was 173.16

Answer:

$270

Step-by-step explanation:

So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)

SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.

.64p = 172.80

DIVIDE BY .64

p = 270

You can check it using the 36% ---

270 × .36 = 97.2

The discount is $97.20

270 - 97.20 = 172.80✅

The original price for Goran's sofa was $270.00

Need some help on this one as well haha, answer when you can:)​

Answers

Answer:

250 dollars

Step-by-step explanation:

Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?

Answers

Answer:

57°

Step-by-step explanation:

Let's assume the measurement of the second angle is x.

so, following the problem

(2x + 9) + x = 180

2x + x = 3x

=> 3x + 9 = 180

=> 3x = 180 - 9

3x = 171

x = 171/3

x = 57°

57° is the smallest angle

WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!

9y + 2 = 58; {4,5,6}
Please show your work.

A, Y=4
B, Y=5
C, Y=6

Answers

Answer:

Im pretty sure c Y=6

Step-by-step explanation:

9y+2=58

Subtract 2 from both sides.

9y=58−2

Subtract 2 from 58 to get 56.

9y=56

Divide both sides by 9.

y= 56/ 9  Which is Also 6.2

Graph the linear equation.

3x−4y=12
school: k 12

Answers

Answer: slope : 3/4 points: (0,-3) (4,0)

Step-by-step explanation:

i looked it up

Answer:

look at graph

Step-by-step explanation:

solve the systems of equations using substitution

y = -3x + 5

5x - 4y = -3

Answers

X = 1
y = 2

hope it helps good luck
X=1
Y=2
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
X=1
Y=-3(1)+5
-3+5
Y=2

Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

Answers

Answer:

28

Step-by-step explanation:    20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars

Why is education important is it experimental or observational

Answers

Answer:

it is experimental

Step-by-step explanation:

okay

does he like me (´༎ຶོρ༎ຶོ`)
yes or no !

Answers

Answer:

no he is dead

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Using the equation y2-y1 / x2-x1 to find the gradients:

The 'm' stands for gradient

7) 9+20/-5+14

m = 29/9


8) -6-1/5+1

m = -7/6


9) -9-9/-14-15

m = 18/29


10) 15+12/18-2

m = 27/16

simplify. rewrite the expression in the form 5^n

(5^-8) (5^-10)

Answers

Answer:

5^-18 or 1/(5^18)

Step-by-step explanation:

(5^-8) (5^-10)

= 5^(-8 + -10)

= 5^-18

or 1/(5^18)

What does (-4)+8-9+12-(-3)

Answers

10 is the your answer, hope its worth it

what is the quotient of 5/12 divided by 3/4​

Answers

your answer would be 5/9 or 0.5

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

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