At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.
One Saturday, 209 admissions were purchased, with total receipts of $1304.50.
How many adult admissions and how many youth admissions were purchased?

Answers

Answer 1

The 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.

Let's suppose the number of admission of adults is x and for youth is y, then,

x + y = 209 ...(1)

8x + 4.50y = 1304.5 ...(2)

After solving the above two linear equation, we get:

x = 104

y = 105

Thus, the 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

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Related Questions

PLEASE HELP ASAP 100 POINTS BRAINLIST
uppose you toss a coin and then roll a number cube.

What is the sample space for the compound event?

Question 9 options:

H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6


TH1 TH2 TH3 TH4 TH5 TH6


H T 1 2 3 4 5 6


H1 T1 H6 T6

Answers

Two at once

So

Sample space for coin

{H,T}

Sample space for cube

{1,2,3,4,5,6}

Combine sample space

{H1,H2,H3,H4,H5,H6,T1,T2,TE,T4,T5,T6}

Option A

Which is the better deal?
A. 8 ounce jar of sauce for $1.20
B. 12 ounce jar of sauce for $1.44
C. 16 ounce jar of sauce for $2.40
D. 4 ounce jar of sauce for $0.64

Answers

B

It is B because When you do 1.44/12 you get 0.12 so, 12 ounce jar of sauce for $1.44 is the best deal.

The company plans to give away 750 hats. If you buy a ticket to the game, what is the probability that you
will receive a hat?

Answers

Answer: 750/500,000

Step-by-step explanation:

you get this because:

the company is giving out 750 hats and there are 500,000 people so you divided those numbers

The surn of the lengths of any two sides of a triangle is greater than the lengt of the third side what triangle inequality is being describre in the given statement?

Answers

Answer:

triangle inequality theorem

Step-by-step explanation:

the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the third side

(PLEASE HELP)What is the surface area?

Answers

Answer:

it would be six square yards or add all the numbers and your total will be it

Step-by-step explanation:


A rental car company charges $34.35 per day to rent a car and $0.09 for
every mile driven. Enola wants to rent a
car, knowing that:

She plans to drive 425 miles.
She has at most $210 to spend.
Use the drop-down menu below to write an inequality representing d, the
total number of days Enola can rent the car while staying within her budget.
d

Answers

The answer is $510 to spend and Enola should have to rest to resell

pls help ill give brainliest and 5 stars

Answers

Answer:

-3.75

-0.55

-0.5

-0.3

-0.2

Step-by-step explanation:

-3% = -0.3

-1/2 = -0.5

-1/5 = -0.2

-3.75

-0.55

Can someone please help?
{2x+y=20
{6x-5=12

Answers

Answer:

x= 7 y=6

Step-by-step explanation:

Please help I’m slow

Answers

show the options!! no ur not
1) +28 , the bird is ABOVE the surface of the ocean
2) -28, she has an OVERDRAFT which is negative
3) -12, the fish is BELOW the surface of the ocean
4) +12, he DEPOSITED 12 dollars
not sure what the options are but hope this helped


Solve the equations x + y = 300 and 12x + 15y
4,140

Answers

Answer:

x=120

y=180

Step-by-step explanation:

x=300-y

12x+15y=4140

12(300-y)+15=4140

y=180

substitute

x=300-180

x=120

need help on this please​

Answers

Step-by-step explanation:

the slope-intercept form is

y = ax + b

"a" is the slope (the slope is in all forms the factor of x). and "b" is the y-intercept (the y value when x = 0).

so the first equation is

y = -5x + b

b we get by using the point coordinates :

-22 = -5×5 + b = -25 + b

b = 3

so, the full equation is

y = -5x + 3

for the second equation we need to calculate the slope first. remember, it is the ratio "y coordinate change / x coordinate change" :

x changes by +1 (from -4 to -3).

y changes by +7 (from -2 to 5).

the slope is +7/+1 = 7/1 = 7.

the equation looks like

y = 7x + b

again, we use the coordinates of a point to get b. I picked (-4, -2) :

-2 = 7×-4 + b = -28 + b

b = 26

and the full equation is

y = 7x + 26

The spinner below is spun 60 times.
Results are shown in the table
below.

Answers

Answer:

Step-by-step explanation:

Theortical probability

A = 1/4

B = 1/3

C = 5/12

Experamental probability

A = 18/60 = 3/10

B = 20/60 = 1/3

C =  22/60 = 11/30

8) A rubber bouncy ball is dropped from a
height of 115.00 inches onto a hard flat
floor. After each bounce, the ball returns
to a height that is a constant percentage
less than the previous maximum height.
After the 19th bounce, the ball reaches a
maximum height of 3.34 inches. At what
percentage does the maximum ball height
reduce per bounce?

Answers

Answer: 1.8 or 180%

Step-by-step explanation:

Koji is cooking dinner. he has a yellow onion that weighs 0.59 pounds, and a red onion that weighs 208.65 grams. there are 453.5924 grams in a pound. which onion is heavier, and how many ounces heavier is it? a. the red onion is 4.48 ounces heavier than the yellow onion. b. the red onion is 7.69 ounces heavier than the yellow onion. c. the yellow onion is 1.56 ounces heavier than the red onion. d. the yellow onion is 2.08 ounces heavier than the red onion.

Answers

By using changes of units, we will see that the correct option is d.

Which onion is heavier?

We know that the yellow onion weighs 0.59 lb

The red onion weighs 208.65 grams.

The thing we need to do, is write the first mass in grams, then we use:

1 lb = 453.59g

Then we can rewrite:

0.59 lb =  0.59* 453.59g = 267.62g

Then we can see that the red onion is heavier.

The difference in mass is:

m = 267.62g - 208.65g = 58.97g

Now we want to rewrite this in ounces, remember that:

1g = 0.035oz

Then:

58.97g = 58.97*0.035oz = 2.064 oz

Then the correct option must be d.

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NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.

Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%


Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the table below to determine how much will be withheld annually for state income taxes.

Annual Gross Pay Tax Rate
First $1,000 1.5%
Next $2,000 3%
Next $2,000 4.5%
Over $5,000 5%


$1,460.00

$3,626.00

$1,210.00

$1,315.00

Answers

Answer:

$1,210

Step-by-step explanation:

$28,000 - $2,100 = $25,900

$25,900 - $5,000 = $20,900

1.5% × $1,000 = $15

3% × $2,000 = $60

4.5% × $2,000 = $90

5% × $20,900 = $1,045

$15 + $60 + $90 + $1,045 = $1,210

simplify........
[tex] {4x}^{2} {y}^{3} \times 3x {y}^{2} [/tex]

Answers

Answer:

12x^3y^5

Step-by-step explanation:

4x^2y^3 × 3xy^2 = 12x^3y^5

On a standardized exam, the scores are normally distributed with a mean of 21 and a
standard deviation of 4. find the z-score of a person who scored 13 on the exam.

Answers

The Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

u = 21

SD = 4

X = 13

[tex]\rm Z = \dfrac{13-21}{4}[/tex]

Z = -2

Thus, the Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.

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Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 × 10 6 ; Peru: 3.2 × 10 7 ; Thailand: 7 × 10 7.

Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished.

Answers

Using scientific notation, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, we don't want to increase the base values much. Panama's population can be represented as:

[tex]4 \times 10^6 = 0.4 \times 10^7[/tex]

Hence, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.

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43 points helppppppppppppppp

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Refer to the attachment ~

Length and width of the rectangle measure :

[tex]\qquad \sf  \dashrightarrow \:5 - ( - 4) = 9 \: units[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:0 - ( - 5) = 5 \: units[/tex]

Let's find the Perimeter ~

[tex]\qquad \sf  \dashrightarrow \:2(9 + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(14)[/tex]

[tex]\qquad \sf  \dashrightarrow \:28 \: units[/tex]

Now, find the Area of rectangle :

[tex]\qquad \sf  \dashrightarrow \:9 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:45 \:unit {}^{2} [/tex]

Answer:

Perimeter = 28 unitsArea = 45 square units

Step-by-step explanation:

Finding Perimeter

2(Length + Width)2(9 + 5)2(14)28 units

Finding Area

Length x Width9 x 545 square units

Angle 1 is 127 degrees, what is the measure of angle 8?

Answers

Answer: imagine your teacher figuered out

Step-by-step explanation:

Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. How many feet of ribbon are left?

Answers

The feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

What is the subtraction?

Subtraction is the resultant number which is obtained by reducing a number with another. Let a number a is subtracted with the another number b. Then the subtraction of these two number will be,

[tex]D=a- b[/tex]

Here, (a, b) are the real numbers.

Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. Let suppose she has left n feet of ribbon. Thus,

[tex]n=15-8\\n=7[/tex]

Thus, the feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

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Answer: Rosa has 5 feet left of her ribbon

Step-by-step explanation:

What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Answers

Answer:

25

Step-by-step explanation:

[tex]\text{distance} =\sqrt{\left( 11--13\right)^{2} +\left( 2-9\right)^{2} }[/tex]

             [tex]=\sqrt{\left( 24\right)^{2} +\left( -7\right)^{2} }[/tex]

             [tex]=\sqrt{576 +49 }[/tex]

             [tex]=\sqrt{625 }[/tex]

             [tex]=25[/tex]

Answer:

25

Step-by-step explanation:

A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking lot

Answers

Answer:

58,187.5 m²

Step-by-step explanation:

1 cm : 25 m

7 cm = 25 × 7 m

7 × 25 = 175 m

13.3 × 25 = 332.5 m

area = 332.5 m × 175 m

sarah burned 280 calories running 20 minutes the next day sarah burned 490 calories for running 35 minutes write an equation that represents this relationship

Answers

Answer: c= 14 * t
Explanation:
The first day:
280/20= 14
Second day:
490/35= 14
That is how it does not change from day to day, the average is 14 calories per minute,therefore, the equation would be:
c= 14 * t

what is the image of A(2,1) after reflecting it across x=4 and the. across the x-axis

Answers

Answer:

(6,-1)

Step-by-step explanation:

(2, 1) is the first point,

(6, 1) is the point after it is reflected over x = 4,

(6, -1) is the point after it is reflected over the x-axis.

divide £36 in the ratio 5:1

Answers

Answer:

30 : 6

Step-by-step explanation:

divide £36 in the ratio 5:1

36 : (5 + 1) =

36 : 6 =

6 (unit)

6 * 5 = 30

6 * 1 = 6

30 : 6

eight hundred sixty four minus three hundred three

Answers

864-303=561.
I hope this helped
864-303=561
561+303=864

can someone help me with this problem? Thank you!

Answers

113.04 ft2

Step-by-step explanation:

r=d/2=12/2=6

A= pi*r*r=3.14*6*6

A=113.04

Answer:

113.04

Step-by-step explanation:

r = 12÷2

r=6

A=3.14×6^2

A=113.04

I really need help please

Answers

Answer:

what?

Step-by-step explanation:

The answers are the second and third selection. Volume is always in units to the third power.

please help me with this i’m lost

Answers

Answer:

2 is fuction

3 fuction

4 is not a fuction

5 not a fuction

6 is fuction

7 fuction

8 not a fuction

9 fuction

10 fuction

Step-by-step explanation:

the x's should not be repeated

the X’s won’t be repeated
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