Tickets to the zoo cost $8 per child and $12 per adult. The zoo sold $5500 in tickets yesterday.
a. Write an equation to model the ticket sales for yesterday. Use c to represent child tickets
and a to represent adult tickets.
b. 125 more child tickets than adult tickets were sold. That can be modeled using the equatic
c = 125 + a. How many child tickets were sold? How many adult tickets were sold? Show
your work.

Answers

Answer 1

Answer:

a.   12a + 8c = 5500

b.    225 adult tickets

      350 child tickets

Step-by-step explanation:

a.    12a + 8c = 5500

b.     12a + 8(125 + a) = 5500

        12a + 1000 + 8a = 5500

                  20a = 4500

                       a = 225 adult tickets

            125 + a = 125 + 225 = 350 child tickets


Related Questions

which expression has a constant of 5?

Answers

Answer:

A

Step-by-step explanation:

i’m pretty sure it’s (A) :)

A dairy company can make 1200 units of product each week. To meet the needs of its regular customers, the dairy company must produce at least 300 units of cheese, and 450 units of yogurt. If the profit for each unit of cheese is $60 and for each unit of yogurt is $90, how many units of each type of dairy product should the dairy company make to maximize its profit?
Answers:
300 yogurt and 450 cheese


300 cheese and 900 yogurt


450 yogurt and 750 cheese


750 yogurt and 450 cheese

Answers

Answer:

300 cheese and 900 yogurt

Step-by-step explanation:

300 cheese and 900 yogurt

Write the expression using exponents. 8 x 8 x 8 x 8 x 8​

Answers

Answer:

8^{5}  or 32,768

Step-by-step explanation:

8 x 8 x 8 x 8 x 8

= 8² + 8²

=8²+²

=8^5

9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9​

Answers

Answer:

c

Step-by-step explanation:

because in a proper fraction the numerator is less than the denominator

How many degrees is angle A? ​

Answers

Answer:

128 degrees

Step-by-step explanation:

Answer:  112 degrees

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

Explanation:

If we assume ABCD is a parallelogram, then the adjacent angles are supplementary.

So,

A+D = 180

A+68 = 180

A = 180-68

A = 112

Look at the image below

Answers

Answer:

your answer will be 12

Step-by-step explanation:

[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]

have a nice day ^_^

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

∠B=∠E

7x+10=947x=94-107x=84x=8yx=8y/7x=12

------------------

∠A=∠D

42=4x-64x=6+424x=48x=48/4x=12

⭒☆━━━━━━━☆⭒

hope it helps...

have a great day!!

witch one is the function ​

Answers

Answer:

B

Step-by-step explanation:

a function doesn't have any repeating x values

the answer is B. it’s a function cause there’s only one output for each input. so if you graph it no points will be on the same line

Suppose demand d for a company's product at cost x is predicted by the

function d(x)=0.36x + 810, and that the price p that the company can charge

for the product is given by p(x) = x+14. Find the company's revenue function.

Answers

Answer:

0.36x ² + 815.04x + 11,340

Step-by-step explanation:

Revenue = price × quantity

p(x) = x+14

d(x) = 0.36x + 810

Revenue = price × quantity

= (x + 14) * (0.36x + 810)

= 0.36x² + 810x + 5.04x + 11,340

= 0.36x ² + 815.04x + 11,340

Company's revenue = 0.36x ² + 815.04x + 11,340

Find the median for the following set of numbers.
4, 18, 3, 29, 23
0 29
3
18
04

Answers

Answer:

3 is the median

Step-by-step explanation:

the median is just the middle number, the number in the middle of a sequence

3 is perfectly in the middle

hope this helps chu <3

What number is the the value of the digit 7 one hundred times as much as the value of the digit in 532,736 A)27,038 B). 73,645 C).124,743 D) 736,942

Answers

I dont know sorry

Step-by-step explanation:

Can someone Help? thank you! :)

Answers

Answer:

$3

Step-by-step explanation:

Since he’s leaving a 20% tip, we need 20% of 15.

To solve, multiply 20/100 (20%) by 15:

20/100*15 = 300/100 = 3

He will leave a $3 tip.

Answer:

$3

Step-by-step explanation:

To solve this problem, first, one must convert the percent of the tip to decimal form. This can be done by dividing the percent by 100. Then one will multiply this value by the total bill.

20% * 15

= 0.2 * 15

= 3

Please tell me the answer to 8 to the tenth power times 6 to the 4 power? I really need to know

Answers

Answer:

1391569403904

Step-by-step explanation:

Answer:

1.3915694e+12

Step-by-step explanation:

2/17=X/9


what does x equal??

Answers

Answer:    Multiply to remove the fraction, then set equal to  

0

and solve.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1 1 /17

2

17

=

X

9

what does  

x

equal??

Multiply both sides of the equation by  

9

.

2

17

9

=

X

9

9

Simplify.

Tap for more steps...

18 /17  =  X

Rewrite the equation as  

X  =  18 /17 .

X  =  18 /17

The result can be shown in multiple forms.

Exact Form:

X  =  18 /17

Decimal Form:

X  =  1.05882352 …

Mixed Number Form:

X  =  1   1 /17

Step-by-step explanation:

2/17=X/9

what does x equal??

5x+6y+4, 3x+7z+6, and t+6h+2s+5​

Answers

Answer:

1st x=66y

2nd x=35z

3rd 6h+2s+t+5

Step-by-step explanation:

MArk BRAINLIEST FOR 4 MATH ALGEBRA CALCULATORS

2x + 3 = -x + 12

Solve the equation, explanation is good.

Answers

Answer:

3

Step-by-step explanation:

2x + 3 = -x + 12

subtract 3 from both sides

2x = - x + 9

add x to both sides

3x = 9

divide by 3

x = 3

Charley has 1 ⅞ pounds of trail mix. If each bag can hold 1/12-pound of mix, how many full bags can be made?

Answers

Answer:

9

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

1 7/8 = 15/8

15/8 ÷ 1/12 = 15/8 × 12/1 = 45/2 or 22 1/2

Help me WILL PICK BRAINLIEST

Ok so the equation is 5 (n - 4) = -60. We're supposed to find out what n is but I don't know. help meeeee

Answers

n is 7 :] ...

Step-by-step explanation:

pls mark brainlest

Answer:

n = -8

Step-by-step explanation:

5 (-8 - 4) = -60

5 (-12) = -60

-60 = -60

Do it on any calculator that's what you'll get

Answer please to the best of your ability

Answers

Answer:

1.8 m

Step-by-step explanation:

h(T)=-9.8T^2+20T+1

just replace the T with 2

h=-9.8(2^2)+20(2)+1

-9.8×4+40+1=1.8m

1.8m

HI PLS HELP
x^2 - 6x + ___ = ( _____ )^2
Select one:
a. 9; x + 3
b. 9; x - 3
c. -6; x + 6
d. -6; x - 6

Answers

Answer:

Hello

Step-by-step explanation:

Answer:

B. 9; x-3

Hope this helps!

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

range of f(x)=3x^2-30x-9

Answers

Answer:

y ≥ -84

Step-by-step explanation:

-84 id the vertex so it is the lowest possible value for the range

Find the rate of change between (3, 8) and (6, 26)

Answers

Answer:

6

Step-by-step explanation:

The slope m between the 2 points is a measure of the rate of change.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)

m = [tex]\frac{26-8}{6-3}[/tex] = [tex]\frac{18}{3}[/tex] = 6

Then rate of change is 6

A population of wolves in a county is represented by the
equation P(t) = 80(0.98)', where t is the number of years
since 1998. What is the percent decrease of wolves per year?

Answers

Answer:

P(t)=80(0.98)t P ( t ) = 80 ( 0.98 ) t , where t is the number of years since 1998 Step-by-step explanation:

P(t)=80(0.98)t P ( t ) = 80 ( 0.98 ) t , where t is the number of years since 1998

The percent decrease of wolves per year is 2%.

To understand more, check below explanation.

Percentage decrease :

A population of wolves in a county is represented by the equation,

                        [tex]P(t)=80(0.98)^{t}[/tex]

where t is the number of years.

Let us consider that, 1998 is base year. so that, t = 0

                 [tex]P(0)=80[/tex]

Population of wolves in 1999, substitute t=1

             [tex]P(1)=80*0.98=78.4[/tex]

the percent decrease of wolves per year is computed as;

                                      [tex]=\frac{80-78.4}{80} *100\\\\=\frac{1.6}{100}*100\\ \\=0.02*100=2\%[/tex]

The percent decrease of wolves per year is 2%.

Learn more about the percentage here:

https://brainly.com/question/24304697

f(x) = 9x2 - 4

Find the zeros of the function

Answers

Answer:

I believe that the answer is 14.

Step-by-step explanation:

hope it helped

Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.

Which of the following rotations is equivalent 270° clockwise rotation about the origin?

clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°

Answers

A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.

Answer:

counterclockwise 360°

Step-by-step explanation:

ABC is the image of ABC under a translation

Answers

The translation is (x-8,y+5). To get from A to A’ you go left (x-axis) 8 times and up (y-axis) 5 times.

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

(3RD TIME POSTING THIS)
Write the word sentence as an inequality
A number x is no more than - 8

Answers

Answer:

x ≤ -8

Step-by-step explanation:

"A number x": x

"is no more than": ≤*

"-8": -8

x ≤ -8 is your answer.

*Note the choice of less than or equal too. "No more than" implies that it can technically be -8, only that it can't be greater than -8 (-7 or more).

~

"The difference between the circumference and diameter of a wheel is 18cm. Find the radius of the wheel. Use 3.14 for Pi. Round to the nearest tenth."

Answers

Answer:

[tex]4.2\ \text{cm}[/tex]

Step-by-step explanation:

d = Diameter of wheel

The difference between the circumference and diameter of a wheel is 18 cm.

[tex]2\pi r-d=18\\\Rightarrow \pi d-d=18\\\Rightarrow d(\pi-1)=18\\\Rightarrow d=\dfrac{18}{\pi -1}\\\Rightarrow d=\dfrac{18}{3.14-1}\\\Rightarrow d=8.41\ \text{cm}[/tex]

The diameter of the wheel is 8.41 cm so the radius will be [tex]\dfrac{8.41}{2}=4.205\approx 4.2\ \text{cm}[/tex].

5C. Amanda pours 3/4 of her water into Barbara’s empty bottle. Barbara then pours 3/5 of her water into Charlie’s empty bottle. Charlie then pours 1/2 of his water into David’s empty bottle. If David now has 18 ounces of water, how many ounces does Amanda still have?

Answers

Answer:

20 ounces

Step-by-step explanation:

For this type of problem it is best to work backwards.

If David has 18, and Charlie gave him 1/2, then Charlie has 36 because 18x2=36. Barbara has 60, because 36/3= 12 and 5x12=60. Then, Amanda has 80 because 60/3=20 and 20x4= 80. But, we need to subtract 60 because the problem asks how many ounces of water does Amanda still have. So, 80- 60(The amount of water she gave to Barbara)=20.

Answer:

20

Step-by-step explanation:

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