movie theater charges $9 for adults and $7 for senior citizens. On a day when 325 people paid an admission, the total receipts were $2504. How many were seniors and how many were adults?

Answers

Answer 1

I will set it up.

Let a = adults

Let s = seniors

The first equation is a + s = 325.

The second equation is 9a + 7s = 2504.

Here is your system of equations:

{a + s = 325

{9a + 7s = 2504

Take it from here.


Related Questions

Approximately what portion of the circle is shaded blue?

Answers

Answer: C. (1/6)

Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.

HELPPPP ASAPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Which value of a makes the equation true?

Answers

Answer:

a = -2

Step-by-step explanation:

3(a + 1.5) = -1.5

3a + 4.5 (-4.5) = -1.5 (-4.5)

3a = -6

a = -2

Which list of angle measures could be the angle measures of a triangle?

Answers

Hello there! So the answer would be D: 35 degrees, 60 degrees and 85 degrees. We know this because angles in a triangle sum to 180 degrees. By simply adding each angle up, we can confirm that 35 + 60 + 85 = 180. :)

Which quadrilateral is a trapezoid?

Answers

Answer:

Hey mate!

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

pls mark me as brainliest!!

A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5

Answers

Answer:

71.02

Step-by-step explanation:

x is the number of days

1 week = 7 days

-3.64 (7) + 96.5 = 71.02

If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х

Answers

Answer:

x.

Step-by-step explanation:

f(g(x)) = x.

Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?

Answers

Answer:

39

Step-by-step explanation:

d = s - 15

d + s = 63

Replace d with s - 15

s - 15 + s = 63

2s -15 = 63

2s = 78

s = 39

Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?

Answers

Answer:

18mph

Step-by-step explanation:

We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.

[tex]\frac{88yd}{10sec} times \frac{3ft}{1yd} times\frac{1mi}{5280ft} times\frac{60sec}{1min} times\frac{60}{1hr}[/tex]

When you multiply all that you get 18 mph

The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?

Answers

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

Example:

2, 3, 4, 5

The average number of 1, 2, 4, and 5 is 3.

i.e 12 ÷ 4 = 3

We have,

The average of eight different numbers is 5.

Let the sum of 8 different numbers be M.

Average = M / 8

5 = M / 8

M = 8 x 5

M = 40

Now,

If 1 is added to the largest number.

This means,

40 + 1 = 41

The resulting average of the eight numbers:

= 41/8

= 5.125

Thus,

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

Learn more about mean here:

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Select the correct answer.
Simplify the following expression.

Answers

Answer:

B. 1/3

Step-by-step explanation:

This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.

Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)

In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3

Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?

Answers

Hsbshshhsshhshshshhshs

Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.

Answers

Answer:

See the calculation below

Step-by-step explanation:

[tex]16 + 13 + 20 = 49[/tex]

[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]

[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]

[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]

someone please answer this

Answers

The slope is the number in front of the x. And the y-intercept is the number after the x.

A negative y-intercept would be subtracted from the equation.

Answer is B. Y = 7.5x - 2

Answer:

B

Step-by-step explanation:

y = 7.5x - 2

The slope is 7.5

y- intercept is -2

can somebody help solve 75 - 6x = 4x - 15

Answers

Answer:

x = 9

Step-by-step explanation:

75 - 6x = 4x - 15

We want to arrive at an answer that looks like

x = a number,

so we want x on the left side and numbers on the right side.

Remember that whichever operation we do to one side of the equation, we must do to both sides.

Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.

75 - 75 - 6x = 4x - 15 - 75

Simplify both sides.

-6x = 4x - 90

Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.

-6x - 4x = 4x - 4x - 90

Simplify both sides.

-10x = -90

We want x, but x is being multiplied by -10, so we divide both sides by -10.

[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]

Simplify both sides.

x = 9

The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.

Answers

Answer:

14r

Step-by-step explanation:

since there are 14 members and each sold r tickets r x 14 which is 14r

I NEED HELP ON QUESTION B AND C ASAP.

Answers

Answer:

See below

Step-by-step explanation:

Part B

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cmPart C

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

I need help ASAPPP this is very important

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 Seconds.

Step-by-step explanation:

The answer is 217 seconds because 60x3+37=217.

Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.

Answers

Answer:

113 each day

Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry

$113 each day

Divide $565 by 5 and you get $113
So you would have 5 groups of 113

20% percent tip on 8 dollar

Answers

Answer:

9.60 dollars tip is $1.60

Step-by-step explanation:

Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.

please help! its my exam study guide and i need to finish it! ​

Answers

[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]

[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]

Helppp it’s due today

Answers

Answer:

128

Step-by-step explanation:

128!!!! mhm mhm mhm mhm mhm

4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?

Answers

12 boys and 8 girls

Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:

Answers

Answer:

Step-by-step explanation:

3x3 then 4 x v ?

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​

Answers

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

Answer:

Step-by-step explanation:

So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated

A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert. Cus
4 drinks, 5 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... w different dinner combo meals.
1
2
3
4
Choose...
12
45
60
75
5
6
7

Answers

Answer:

Your Answer Is 60

Step-by-step explanation:

I Took The Test Just Now

The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

What is arrangement?

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!. Here, n is the number of objects.

A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.

Dinner includes 4 drinks,5 main types of dishes.3 types of desserts.

The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,

[tex]n=4\times5\times3\\n=60[/tex]

Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

Learn more about the arrangement here;

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Select the interval where g(2) < 0.

(graphed on khan academy)

Answers

Answer:

the number 0 Originally called finding the vertical asymptote.

Helpppp for a math exammm

Answers

Answer:

2. angle A is congruent to angle X

Step-by-step explanation:

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

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