58 people attend a banquet at Disney residents paid 13.00 and non residents paid 17.50. If Disney made 925.00 from ticket sales for the event how many residents and non residents attended

Answers

Answer 1
x= # of residents
y= # of non residents

QUANITY EQUATION
x+y= 58

COST EQUATION
$13.00x + $17.50y= $925.00

SOLVE FOR 1 VARIABLE
x+y= 58
subtract y from both sides
x= 58-y

SUBSTITUTE IN 2nd EQUATION
$13.00x + $17.50= $925.00
13(58-y) + 17.50y= 925.00
multiply 13 by all in parentheses
(13*58)+(13*-y)+17.50y= 925.00
754-13y+17.50y= 925.00
combine like terms
754+4.50y= 925.00
subtract both sides by 754
4.50y= 171
divide both sides by 4.50
y= 38 number of non residents

SUBSTITUTE TO FIND X
x+y= 58
x+38= 58
x= 20 number of residents

ANSWER: 20 residents and 38 non residents attended.

CHECK:
$13.00(20) + $17.50(38)= $925.00
260 + 665= 925
925 = 925

Hope this helps! :)
Answer 2

Answer:

$925.00

Step-by-step explanation:


Related Questions

Please help asap

The table below shows which sports events have sold out and which have not.

Answers

A. Volleyball has a 0.4 chance of being sold out because 2 out of 5 were sold out and that equals 0.4.

B. To answer this, you need to find the number of predicted outcomes over the total number of possible outcomes. In this case it is 6/10 or 3/5 chance/probability. Between the 2 sports events there were 6 sold out compared to the total of 10.

is a simplified version of 5(x+8)-10x =60

Answers

5(x+8)-10x =60
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4

Estimate how many 12 inch rulers will be about the same length as a sheet of paper

Answers

The answer is 1 that's what I got cus I actually mesured my paper and it is 11 inches so it's 1 plz gimme brainliest!!!!

The correct answer is one 1.

Write 6 percent as a decimal

Answers

0.06 is 6% as a decimal
0.06 because Move the decimal point two places to the left, adding in zeros as needed and then thats it.

if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?

Answers

12-6 = 6
6-6=0
6 is the rate of change in temperature 6 hours
Then 1 is the rate of change in temperature is 1 hour

For your party you purchased balloons for $.79 each. You spent a total of $11.85. About how many balloons were purchased?

Answers

15 ballons were purchased

Let us suppose the number of balloons purchased is x in number.

It is given balloons are purchased for $.79 each

Cost of x balloons = .79x.

Total amount spent on purchasing balloons = $11.85

Cost of x balloons = Total cost of balloons.

.79x=11.85

With x .79 is multiplied .Opposite of multiplication is division.

We perform the opposite operation both sides

Dividing both sides by .79

x=11.85÷.79

x=15

Total number of balloons purchased is 15.


PLEASE HELP

If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.

Answers

Answer: 40%

=========================================

Work Shown:

"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%

There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%

The probability that a randomly selected senior student is male is 40%.

Given Data:

We have a two-way table representing the number of students by gender and grade level.

The relevant information is that there are 2 male seniors.

Event Definitions:

Let’s define the following events:

A: Student is male.

B: Student is a senior.

Conditional Probability:

We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).

We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]

Calculations:

From the table, we know:

Number of male seniors (A and B): 2

Total number of seniors (B): 5

Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]

Rounded Answer:

Rounding to the nearest whole percent:

([tex]0.4 \times[/tex]100% = 40%)

Summary: The probability that a randomly selected senior student is male is 40%.

find the surface of the area of the rectangular prism 16m 5m 14m

Answers

Total Surface Area = 2(16 x 5) + 2(5 x 14) + 2(14 x 16)
Total Surface Area = 160 + 140 + 448
Total Surface Area = 748 m²

------------------------------
Answer: 748 m²
------------------------------

What do you draw to show that 50,000 pennies is equivalent to 100 five dollar bills?

Answers

draw a penny with the number 50,000 about it. Then draw an equal sign and draw 5 100 dollar bills. 
draw a few pennies with an equal sign next to 100 five dollar bills

The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation

Answers

The constant of variation is 2.76 dollars per gallon

Let "m" represent the money required.

Let "n" represent the number of gallons filled.

Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:

[tex] m\propto n [/tex]

We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".

Therefore the above expression will become:

[tex] m=k\times n [/tex]

Now, it is given that m=$16.56 and n=6 gallons

Therefore, [tex] 16.56=k\times 6 [/tex]

Dividing both sides by 16.56 we get:

[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]

Thus, k=2.76 $/gallon is the value of the constant of variation.


What is the volume of the composite figure ?

Answers

Do length x width x height for each of the shapes and add the products so )8 x 15 x 6) + (16 x 15 x 6) + (24 x 15 x 6) and the sum should be your answer. 4320 in[tex]^2[/tex]

NEED HELP ASAPPP




Figure TUVW is transformed to T’U’V’W’, as shown:


Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?

Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

Answers

The first sequence of transformation. 
If you look closely, the reflection was made from the y-axis. The reflection would be above or below the x-axis if the reflection was to be made through the x-axis. 
Also, the figure was moved 2 units to the left. Hence the reflection was moved 2 units from where the reflection should originally be which was (-6,-4). 

Hope this answer is helpful.

The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units

Step-by-step explanation:

the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth

Answers

In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :

Ratio of area =[tex] a^{2} :b^{2} [/tex]

Given ratio of area =81:64

Or 81:64=[tex] a^{2} :b^{2} [/tex]

Taking root of both sides

9:8=a:b

The ratio of perimeter of any two similar polygon is equal to the ratio of sides.

Ratio of perimeter = a:b

Perimeter of first polygon is 32 cm.

Let the perimeter of second polygon be x.

32:x=a:b

Or, 32:x=9:8

[tex] \frac{32}{x} =\frac{9}{8}
[/tex]

Cross multiplying

9x= (32)(8)

9x=256

Dividing both sides by 9

x=28.4.

The perimeter of second polygon is 28.4cm.



A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?

Answers

2 tons = 4000 pounds
8 x 10 = 80
4000 \ 80 = 50
The supplier needs to ship 50 crates.
Hope this helps

Pedro wants to paint his room, which is 12.5 feet by 11.5 feet, with an 8-foot-high ceiling. How many total square feet will Pedro need to paint?

Answers

Maybe 7.36 set up a proportion

Given the function f(x) = 2x-5/3, which of the below expression is correct?

F^-1(x) = 5-2x/3

F^-1(x) = 3x-5/2

F^-1(x) = 3x+5/2

F^-1(x) = -2x - 5/3

Answers

I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.

Last summer, Mike received a tip from 35% of his babysitting customers. If he had 20 customers, how many customers gave Mike a tip?

Answers

7 I think because you multiply 20 times 0.35
To solve you'll set up a proportion.

35/100 = x/20

cross multiply.

100x = 700

Now divide by 100.

x = 7

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.

Answers

Base length = 2 + height
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³

Answer:

128

Step-by-step explanation:

Just did the test ;)

How do I solve 20% out of 75

Answers

20% -->decimal 0.2

75 x 0.2 = ?

? = 15
You take the decimal of 20 percent which is 0.2 and multiply it by 75. Then when you got your answer move the number of numbers after the decimal from the answer backwards. Now you got your answer . :)

The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?

Answers

Hello!

First, find 1/5 of $130, and then subtract that from the original price of the item, because it is a discount.

Divide the price of the item by 5.

130 ÷ 5 = 26

130 - 26 = 104

So, the price of the item (not including tax) is $104. Now, we must calculate the sales tax and then add that onto the price of the item, as tax is money collected by the government.

To calculate the tax, multiply the discounted price of the item by the percentage of tax, and then add it.

104 × 10% = 10.4

104 + 10.4 = 114.4

ANSWER:

The amount of money you paid fot the item is $114.4.

Radius is 8 what is the area of the circle then ?

Answers

Hello!

We must use a certain formula to find the area of a circle. The formula is:

A = pi × r^2

Pi = Approximately 3.14

Radius = 8 cm

Substitute:

A = pi × r^2

A = 3.14 × 8^2

A = 3.14 × 64

A = 200.96

ANSWER:

The area of the circle is approximately 200.96 cm^2.

Did it tell u to use pi or 3.14
Using 3.14 itll be 200.96
Using actual pi it be 201.0619298 then it depends where to round

How do you get the value of x

Answers

You add the angles, then set that total to 180°, the total of the angles in any triangle.
.. 5x = 180
.. x = 180/5 = 36

Determine o X do triângulo na questão b

Answers

2x + 3x = 90

5x = 90

x = 18

What is the value of x?



Enter your answer in the box.

Answers

These are vertical angles. Vertical angles are congruent, so you can set their values equal to each other to solve for x.

2x + 2 = 3x - 52          Vertical angles are congruent
      2x = 3x - 54          Subtract 2 from both sides
       -x = -54                Subtract 3x from both sides
        x = 54                  Divide both sides by -1

Answer:
x = 54

HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!

Answers

They are the shape of stop signs.
They have 8 sides.
They can be constructed with a straightedge and a compass
They form patterns on some oriental rugs.
Janggi ( a game uses octagonal pieces). Look this up.

? - 12 = -6


What is the missing number?

Answers

the missing number is 6

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finished Level 2 in 28 minutes. What is your percent of change?

Answers

The first step to solve this problem is to compute how much change in minutes were you able to have today compared to the last week.

32 minutes – 28 minutes = 4 minutes faster than last week

To compute the percent of change you have to divide the change in minutes to the duration in minutes for the last week:

4 minutes / 32 minutes = 0.125 or 12.5% faster than last week

what is the slope of the line (2,-2) and (9,3)

Answers

slope =  3-(-2) / 9-2
slope = 5/7
HI,
the slope of the line is 
m=5/7
i hope this helped you

3×1 1/2=3×6/3=18/3=6

Answers

Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Hannah completed the multiplication below and said she needed 6 cups of chips for 3 batches of bars. Whats Hannah's error?
3*1 2/3 = 3 *6/3=18/3=6
Possible explanation: Hannah did not write the mixed number, 1 2/3, as a fraction correctly, 1 2/3 is not equal to 6/3

5 cups: explanation: first 1 wrote 1 2/3 as a fraction. 1 2/3 = 3/3+2/3=5/3, then I multiplied 3 x 5/3 = 15/3=5 = True
Thus: Hannah needs 5 cups for 3 batches of bars

Can anyone solve this?

Answers

C because stating at 1 if you add 2 you get 3 for x
 then multiply 3 by 2 to get 6 so you would have (3,6)

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