A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?

Answers

Answer 1

Answer:

Adult tickets cost $11 and child tickets cost $13

Step-by-step explanation:

Multiply the second equation by -2, then add the equations together.

(8a+9c=205)

−2(4a+3c=83)

Becomes:

8a+9c=205

−8a−6c=−166

Add these equations to eliminate a:

3c = 39

Then solve3c=39for c:

3c=39

[tex]\frac{3c}{3}[/tex] = [tex]\frac{39}{3}[/tex]

(Divide both sides by 3)

c = 13

Now that we've found c let's plug it back in to solve for a.

Write down an original equation:

8a+9c=205

Substitute 13 for c in 8a+9c=205:

8a+(9)(13)=205

8a+117=205 (Simplify both sides of the equation)

8a+117+−117=205+−117 (Add -117 to both sides)

8a=88

[tex]\frac{8a}{8}[/tex] = [tex]\frac{88}{8}[/tex]

(Divide both sides by 8)

a = 11


Related Questions

Mark simplified 3/5 + 5/8 his work is shown below. Identify where he made his error.

Step 1: 3/5 * 8/5

Step 2: 3 * 8 / 5 * 5

Step 3: 24/5

Step 4: 4 4/5

Answers

Answer:

Step 1

Step-by-step explanation:

Mark simplified 3/5 + 5/8 using the steps below:

Step 1: 3/5 * 8/5

Step 2: 3 * 8 / 5 * 5

Step 3: 24/5

Step 4: 4 4/5

Mark's error is in Step 1 where he changed the addition sign to multiplication sign.

The correct solution is:

[tex]Step 1: \dfrac{3}{5}+ \dfrac{5}{8}\\Step 2: \dfrac{24+25}{40}\\Step 3: \dfrac{49}{40}\\Step 4: 1\dfrac{9}{40}[/tex]

IM GIVING 20 POINTS. Help me with this please. it would be very helpful.

Answers

Solution:

hypotenuse=p

perpendicular=m

base=n

According to Pythagoras theorem,

h^2=p^2+b^2

So the right answer of your question is m^2+n^2=p^2

Right answer is of option A.

Hope it helps....

Good luck on your assignment

Answer:

[tex] {m}^{2} + {n}^{2} = {p}^{2} [/tex]

Answer A is correct.

Step-by-step explanation:

According to PYTHAGORAS theorem,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] = {p}^{2} + {b}^{2} = {h}^{2} \\ \\[/tex]

P = perpendicular

b = base

h= hypotenuse

So, according to this , the correct answer is,

[tex] {m}^{2} + {n}^{2} = {p}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

pleaseeee help :)))))))

Answers

Answer:

28.26

Step-by-step explanation:

3.14 * 3*3 = 3.14*9 = 31.4 - 3.14 = 28.26

(would indeed appreciate the brainliest if you appreciate the work)

Answer:

28.26

Step-by-step explanation:

A = pi r^2

Let pi = 3.14 and r = 3

A = 3.14 (3)^2

A = 3.14 *9

A =28.26


What is the measure of the missing angle?​

Answers

Answer:

115

Step-by-step explanation:

Use the following figure to answer the question.
5/6
1 and
28 are
angles.
O alternate exterior
O alternate interior
corresponding
Oright​

Answers

Answer:

1

Step-by-step explanation:

i need help please answer with explantation

Answers

Answer:

what is it about i mite help

Step-by-step explanation:

okay!

2/25 × 5 fraction in simplest form​

Answers

Answer:

2/5

Step-by-step explanation:

2/25 * 5

2*5=10

25*1=25

10/25=2/5

The simplest form of the fraction is, 2/5

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ 2/25 × 5

Now, Simplify as;

⇒ 2 × 5 / 25

⇒ 2 × 1 / 5

⇒ 2 / 5

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ5

A local hamburger shop sold a combined total of 773 hamburgers and cheeseburgers on Sunday. There were 73 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:  There were 350 hamburgers sold.

Step-by-step explanation:

x + (x +73)= 773  where x is the number of hamburgers sold and (x+ 73) is the number of cheese burgers sold.

x + (x+ 73)=773

2x + 73 = 773

2x + 700

x= 350

1(350)= 350

A car travels 42 miles for every 2 gallons of gasoline. What is the unit rate?

Answers

Answer:

21 miles per 1 gallon

Step-by-step explanation:

The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.

PLZ MARK BRAINLIEST!!!

Answer:

21 mpg

Step-by-step explanation:

The unit rate is:

  42 miles

------------------- = 21 mpg

 2 gallons

(4,2) in y+mx+b form
Line 1
Line 2
Graph above

Answers

Answer:

Step-by-step explanation:

Select Ruler from the tools to measure the petal, anther, filament, pistil, and ovary. Record these measurements in Table A of the
Student Guide. Select the Magnifying Lens to read the ruler. Select continue when done

Answers

Answer:

There is nothing here for me to answer

Step-by-step explanation:

Matching quantities with units

Answers

Answer:

1. Volume = length x width x height => cubic centimetres.

2. Perimeter = 2(length) + 2(width) => metres.

3. Speed = Distance /time => metres per second.

4. Area = length x width => square metres.

Step-by-step explanation:

1. Volume = length x width x height

If the length, width and height are measured in centimetre (cm) , then, the unit of the volume will be:

Volume = cm x cm xcm = cm3 i.e cubic centimetres.

2. Perimeter = 2(length) + 2(width)

If the length and width are measured in meter (m), then, the unit of the perimeter will also be in metre (m).

3. Speed = Distance /time

If the unit of distance is measured in metre (m) and the time is measured in second (s), then , the unit of the speed will be:

Speed = Distance /time = m/s i.e metres per second.

4. Area = length x width

If the length and width are measured in metres (m), then, the unit of the area will be:

Area = m x m = m2 i.e square metres

Which statement is true?

Only some squares are rhombuses. Rhombuses have 4 right angles. Therefore, only some squares have 4 right angles.

All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

All squares are rhombuses. Rhombuses have 4 right angles. Therefore, all squares have 4 right angles.

Only some squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.

Answers

Answer: All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

The answer is the explanation.  That's the second choice.

Answer:

C

Step-by-step explanation:

Determine which description of description.
trendlines would be a better fit for the data. Choose yes or no for each

❏ Yes ❏ No A line that passes through the points (10, 20) and (45, 40)

❏ Yes ❏ No A line that passes through the points (10, 15) and (45, 35)

❏ Yes ❏ No A line that passes through the points (10, 15) and (50, 15)

❏ Yes ❏ No A line that passes through the points (20, 25) and (35, 35)

Answers

Answer:

Step-by-step explanation:

If you're good at logarithms please help me with question two d and h thanks
show full working out ;)

Answers

Answer:

d. -0.301

h. 1.38

Step-by-step explanation:

Loga0.5 = loga2^-1

= -1(loga2)

       = -1 (0.301)

= -0.301

Loga24 = loga(2^3 x 3)

= loga2^3 + loga3

= 3 (loga2) + loga3

       = 3 (0.301) + (0.477)

       = 1.38

Look at this square. Find the value of p.
Perimeter = 24 yards
P =
yards​

Answers

Answer:

I do not know what P is supposed to be. Please explain so I can answer.

Step-by-step explanation:

Assuming the yard is rectangular then the following applies:

The perimeter of a rectangle is the distance around the outside

of the rectangle. A rectangle has four sides with opposite sides
being congruent. The formula for finding the perimeter is Side A +
Side B + Side A + Side B. This could also be stated as 2xSide A +

2xSide B or 2x(Side A + Side B)

Side A =2m, p = 24m, therefore:
2x2m + 2xside B= 24m

Side B = (24-4) ÷ 2 = 10m

1. If x is the supplementary angle of 155°,
find the value of tan x.
A. 0.0423 B. 0.0466 C.0.4226
D. 0.4663 - E. 0.9063​

Answers

Answer:

0.466 degree is the. answer

Why do tangent function have vertical asymptotes at the same places a cosine function crosses the x axis

Answers

Answer:

The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. They separate each piece of the tangent curve, or each complete cycle from the next. is because those points are where the cosine function is equal to 0

Step-by-step explanation:

For the function y = ln(x+1)+5, which of the following statements is
true?
O A. The domain is (1,00), and the range is all real numbers.
O B. The domain is (1,0), and the range is [5,).
O C. The domain is (-1,0), and the range is all real numbers.
O D. The domain is all real numbers, and the range is [5,).

Answers

Answer:

C. The domain is (-1,+∞), and the range is all real numbers.

Step-by-step explanation:

The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1

and the range is all real numbers.

check the attached picture for the graph.

C. Is the answer for this question

help please
Find the circumference of the object.

Answers

Answer:

18.84

Step-by-step explanation:

We have to use the circumference formula: pi x r x 2. The diameter is 6, so the radius is 3. 3.14 is pi in this scenario. 3.14 x 3 x 2 = 18.84

Answer: 18.85 cm

Step-by-step explanation:

C = 2 x 3.14 x r

Pls help !!!! I will mark as Brainiest

Answers

Answer:

13 pounds

Step-by-step explanation:

205-192=13

Answer:

Just subtract.

Step-by-step explanation:

Big brain mathematics

Answers

Answer:

y - 6= -5/4(x+4)

Step-by-step explanation:

The point slope form of the equation of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -6 = -5/4(x - -4)

y - 6= -5/4(x+4)

how may students prefer burgers?

Answers

21 student prefer more burgers
17 students prefer burgers

What is the value of x?

Answers

50


Step by step explanation

Answer:

A

Step-by-step explanation:

Find all the angles of the triangle.

A straight line is 180° therefore you do 180°-105°=75°

All the angles in the triangle added together is 180°.

Now you write it into an equation,

55+75+x=180

x=180-130

x=50°

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit for the scatter plot can be described by the equation y = 4/5x. If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36
39
56
24

Answers

Answer:

[tex]36\ \text{gallons per unit}[/tex] will flow from the hose in 45 minutes.

Step-by-step explanation:

The line of best fit for the scatter plot can be described by the equation :

[tex]y=\dfrac{4}{5}x[/tex]

y is amount of water in gallons

x is time

When x = 45 minutes, put x = 45 in above formula as :

[tex]y=\dfrac{4}{5}\times 45\\\\y=36\ \text{gallons per unit}[/tex]

So, [tex]36\ \text{gallons per unit}[/tex] will flow from the hose in 45 minutes.

in a secondary school there are 40 classes all together. 8 of the classes are year 7 classes. what fractions of the classes in school are year 7?
give your answer in the simplest form

Answers

It’s 7/40 I hope this helps

Answer:

1/5 is the answer, I searched it up.

Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y = -x-5
y = x + 1

Answers

Answer:

(-3,-2)

Step-by-step explanation:

which choice represents the expression below as a single exponential expression?
6.5^8 • 6.5^4
a.6.15^12 • 6.5^13
b. 6.5^32
c. 6.5^12
d. 6.5^4

Answers

I think it’s B if not C

A house painter used the equation y = 6.2x to determine the number of gallons of paint, y, needed to paint a number of houses, x. Which table represents the equation?



Answers

Answer:

(2,12.4)  , (5,31),  (8,49.6)

Step-by-step explanation:

To Solve this problem, let substitute value  of x from given table into equation y = 6.2x and determine value of y .

For x = 2

y = 6.2x

=> y = 6.2*2 = 12.4

__________________________________________

For x = 5

y = 6.2*5

=> y = 31

__________________________________________

For x = 8

y = 6.2*8

=> y = 49.6

__________________________________________

Thus, second table represent the equation.

(2,12.4)  , (5,31),  (8,49.6)

Answer:

(2,12.4)   (5,31)  (8,49.6)

Step-by-step explanation:

-10x – 1= -51
Solve 2-step equation

Answers

Answer:

5

Step-by-step explanation:

-10x-1=-51

Add 1 to both sides:

-10x=-50

Divide both sides by -10:

x=5

Hope this helps!

Answer:

x=5

Step-by-step explanation:

10x=-51+1

-10x=-50

x=5

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Assume the negotiation and exchange of permits are costless.The following table shows the cost each firm faces to eliminate each unit of pollution.Cost of Eliminating: Firm X Firm Y Firm ZFirst ton of pollution $950 $280 $600Second ton of pollution $1,650 $300 $720Third ton of pollution $2,500 $350 $880Fourth ton of pollution $3,550 $450 $1,050Suppose the owners of the three firms get together and agree on a trading price of $800 per permit.Complete the following table with the action each firm will take at this permit price and the amount of pollution each firm will eliminate.Firm Initial Pollution Permit Allocation (Tons of pollution) Action Final Amount of Pollution Eliminated (Tons of pollution)Firm X 2 Firm Y 2 Firm Z 2Determine the total cost of eliminating 6 tons of pollution under each method, and enter the amounts in the following table.Method Total Cost of Eliminating 6 Tons of Pollution (Dollars)Regulation Tradable pollution permits Excerpt from The Secret GardenFrances Hodgson BurnettSo if Mary had not chosen to really want 8 to know how to read books she would never have learned her letters at all.Read the passage underlined (8). 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