Mathematics High School

The cost of a banquet at Nick's Catering is $215 plus $27.50 per person. If
the total cost of a banquet was $2827.50, how many people were invited?​

Answers

Answer 1

Answer:

x = 95

Step-by-step explanation:

Given that,

The cost of a banquet at Nick's Catering is $215 plus $27.50 per person

The total cost of a banquet was $2827.50

We need to find the number of people invited. Let there are x people. So,

215+27.5x = 2827.50

27.5x = 2827.50 -215

27.5x = 2612.5

x = 95

So, there are 95 people that were invited.

Related Questions

Find the missing length 3 9 c

Answers

Answer:

Step-by-step explanation:

c²  =  a² + b²

c   =  √(a² + b²)

    =  √(9² + 3²)

    =  √(81 + 9)  

c   =  √90             = √(9)(10)       =   3√10  simplified

Three friends ate 3/4 of a pizza. The 3 friends ate
equal amounts. How much of the pizza did each
friend eat?

Answers

Answer:

each friend ate 1/4 of pizza

Step-by-step explanation:

3/4 ÷ 3

= 1/4

Write the number for thirteen million thirty thousand

Answers

Answer:

13,030,000

Step-by-step explanation:

write first the value for thirteen millions,

13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two

13 000 000

+ 30 000

=. 13 030 000

Answer:

13,030,000

Step-by-step explanation:

13,000,000

+ 30,000

13,030,000

In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R

Answers

Answer:

104

Step-by-step explanation:

:)

Please help me with this I am stuck

Answers

i’m stuck in the dryer step bro

Answer:

450 cm ^3

Step-by-step explanation:

Please help thanks!!!

For question 3, you don’t need to calculate it. Please explain the steps of how you would work it out.

Answers

Answer:

30 or 780 is your answer for the first one. i dont know how to work out the answer for the 2 one im sorry :(

Step-by-step explanation:

13+12+5 = 30

13 x 12 x 5 = 780

I would go for 780

it seems more like to be the answer

He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation

2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more

Answers

Answer:

I think you should go with 3

Martin recorded the low temperatures at his house for one week. the temperatures are shown below -
-7, -3, 4, 1, -2, -8. 7
Approximately what was the average low temperature of the week?

Answers

Answer:

The average temp was 4

Step-by-step explanation:

What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 ? Show or explain how you got your answer.

Answers

Given Info : What is the difference of the value of Lily's expression , 6x-3, when x=5 and the value of Pedro's expression when x=5 .

To Find :- Show or explain how you got your answer.

Solution:-

The expression is 6x-3 , and we need to find its value at x = 5 , On putting x =5 we have

6*5-3 = 30-3 = 27.

This value will come same in case of Pedro, therefore our required answer is 5

The price of an mp3 player is reduced by 60%. The expression c – 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price?

Answers

Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

Distribute
3x(5x-5)

a) 12x^2+8x
b) 15x^2+10x
c) 12x^2-9x
d) 15x^2-15x​

Answers

Answer:

d

Step-by-step explanation:

3x times 5x equals 15x^2

3x times -5 equals -15x

---> 15x^2 - 15x

You have 64 grams of a radioactive kind of strontium. If its half-life is 6 hours, how much will be left after 3 hours?

Answers

Answer: 48 grams

Step-by-step explanation:

The half-life of an element refers to the amount of time that it takes for half of it to decay.

For instance, if the half life is 2 hours and the element weighs 12 g, the element will only weigh 6g after 2 hours.

The half-life of the above is 6 hours, in 3 hours therefore, it would only have lost of the half that it would have lost in 3 hours which means it would have lost only a quarter.

= 64 * ( 1 - 1/4)

= 48 grams

If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k

Answers

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8

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What is the value of x in the figure at the right?

Answers

Answer:

Answers is D

Step-by-step explanation:

2x = 60° because they are vertically opposite angles.

x=60÷2=30°

Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)

Answers

Answer:

Simplified : 1:3

Step-by-step explanation:

7:21 is equal to 1:3

Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.

Answer:

7:21 = 1:3

Tips for algebra...

just know the basics and related rules or theorams and practice as much as u can

good day mate

What is the Quartile 1 for the Box & Whisker Plot below?


PLSS HELP

Answers

Answer:

17

Step-by-step explanation:

The lower quartile Q₁ is positioned at the left side of the box.

The value at the left is Q₁ is 17

Which expression represents the length of the spring after Gerard removes some weight? Gerard adds weight to the end of the hanging spring D-- The song stretches to a length of p centimeters. Gerard removes some weight and the song moves up by a 8 E-p) - 9 D-9--​

Answers

Answer: p+(-q)

Step-by-step explanation:

A package of 12 pencils costs $0.96. At this rate, how much would 100 pencils cost?



A. $8.35


B. $10.80


C. $9.60


D. $8.00

Answers

Answer:

B

Step-by-step explanation:

Please Give brainliest

Answer:

D

Step-by-step explanation:

Find mZN.
62°
K
N
Need help with this question?

Answers

Answer:

118degrees

Step-by-step explanation:

Assuming we are given the following and m<k and ,<N lies on the same straight line, hence;

m<K = 62 degrees

n<N = ?

Since are on the same straight line, hence;

m<N + m<K = 180

m<N + 62 = 180

m<N = 180 - 62

m<N  = 118

Hence the measure of m<N is 118degrees

'

,

I need help on the circled problem please

Answers

Answer:

There would be infinite solutions because the equations are exactly the same.

I hope this answered your question

3. if u get this right i’ll give u brainliest

Answers

Answer:

(-3,2)

Step-by-step explanation:

3/4 of eight is six so go to two and then find the x, as x wasn't on the numbers it is not a multiple of two, so three was the closest number

may be wrong

You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE

Answers

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.


a. annual premium: $ a0

b. monthly premium: $ a1

Answers

Answer:

Step-by-step explanation:

a. annual premium: 79.35

b. monthly premium: 7.14

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.

What is division?

One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.

Given: Marcie Ann Weber,

insured amount of term insurance plan = $15,000.

Number of year = 10 year

To find the amount of annual premium:

Divide the total insured amount by number of years.

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

To find the amount of monthly premium:

Monthly premium = Insured amount of term insurance plan / Number of month in 10 year

Monthly premium = 15,000 / (10 x 12)

Monthly premium = 15,000 / 120

Monthly premium = $125 per month.

Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ5

Maria rides her bike on the same route each day. The table shows the relationship between the days (d) Maria rides her bike and the total miles (m) traveled. Maria's Bike Rides Days (d) Total Miles (m) 4 50 12 150 16 200 24 300 Which equation describes the data in the table? A. m = 12.5d B. m = d + 8.3 C. m = d + 12.5 D. m = 8.3d

Answers

Answer:

C

Step-by-step explanation:

WILL GIVE BRAINLIEST!
The graph below shows the relationship between distance walked and calories burned.

Find the slope of the line.


Write a sentence that explains the meaning of the slope.
Walking this many miles burns 100 calories.
Walking this many hours burns one calorie.
Walking burns this many calories per hour.
Walking this many miles burns one calorie.
Walking burns this many calories per mile.

Answers

Answer:

70

Step-by-step explanation:

The slope is down 1 over 1.5, so that means Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(140 - 280)

(2 - 4)

Simplify each side of the equation

m=

(140 - 280)

(2 - 4)

=

-140

-2

Solve for slope (m)

m= 70

Booommmm, Im proud of this lol, hope it helps <3

help plsss. marking brainliest

Answers

Answer:

1. 3

2. 1

Step-by-step explanation:

Answer:

1.3. now mark brainlieet plsssssssssss like you said you would

Tammy read for 1/3 hour today. She read for 1/6 hour yesterday. How many hours did Tammy read in all?

Answers

Answer is 1/3+1/6= 1/2 hours

If a car can travel 78 miles using 3 gallons of gas, what is the unit rate?

Answers

Answer:

26

Step-by-step explanation:

Well since a car can travel 78 miles Using 3 gallons

78/3=26

26 miles for each gallon

Answer:

26

Step-by-step explanation:

The unit rate refers to the distance the car can travel using 1 gallon of gas. One way to solve this is to create an algebraic equation like [tex]78=3x[/tex]. Then, to find the unit rate isolate x by dividing both sides by 3. This means that the unit rate is 26.

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Answers

Answer:

The answer is C

Step-by-step explanation:

The mean of math is 84, and the Mean of science is 85.

so, science is clearly one point higher

Find the slope: numbers are: (1,-3) and (-5,-4)

Answers

[tex]\frac{-3 - (-4)}{1 - (-5)}[/tex]

= [tex]\frac{-3 + 4}{1 + 5}[/tex]

= 1/6

Answer: the slope is 1/6
The slope should be 1/6. If you count using rise/run you count up 1 and over 6. Therefor the slope is 1/6.
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