Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a snack.

Answers

Answer 1

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2


Related Questions

Use the data set to answer the question.

{122,132,155,198,213,225,261,280}

What is the mean absolute deviation for the data set?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

Final answer:

The mean absolute deviation for the given data set is 45.1.

Explanation:

To find the mean absolute deviation for a given data set, follow these steps:

Find the mean of the data set by adding up all the values and dividing by the total number of values.

For each value in the data set, find the absolute difference between the value and the mean.

Find the average of these absolute differences by summing them up and dividing by the total number of values.

In this case, the data set is {122,132,155,198,213,225,261,280}.

The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.

The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.

Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90)(190%)
= (90)(100%+90%)
= (90)(100%) +(90) (90%)
= (90)(1.0)+(90) (0.9)
= 90+ 18
= 108

Answers

2 pretty major mistakes, the numbers are messed up in her calculations. If she had done the correct numbers although her way of solving is not the best way, she would have gotten the correct answer

Answer:

she incorrectly multiplied 90 times 0.9

Step-by-step explanation:

Each lapel on a suit jacket is in the shape of a triangle.the three angles of each triangle measure 47 , 68 and 65. classify the triangle by its angles

Answers

The type of triangle is acute angled triangle.

Solution:

Let us first define the type of triangles based on angles.

If all angles of a triangle are less than 90°, then it is acute angled triangle.

If any one angle of a triangle is exactly 90°, then it is right angled triangle.

If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.

Given angles of a triangle:

47°, 68° and 65°

Here all the three angles are less than 90°.

Hence it is a acute angled triangle.

(-6)*(-6)*(-6)*z*z
the expression is

Answers

Answer:  (-6)³z²  =  -216z²

Step-by-step explanation:

(-6)(-6)(-6)z·z

-6 is multiplied by itself 3 times so gets an exponent of 3 --> (-6)³

z is multiplied by itself 2 times so gets an exponent of 2 --> z²

Which sequence is geometric and has `1/4` as its fifth term and `1/2' as the common ratio?
O A..., 1, 1/2", 1/4", 1/8"...
B..., `1/4,' 1/2,' '1, 2, ...
O C.., 1/72", 1/36', '1/18', '1/9 ,...
OD..., 8,' '4,' '2,' 1,' ....​

Answers

Answer:

A..., 1, 1/2", 1/4", 1/8"...

Step-by-step explanation:

Which scoring scheme is the most favorable to the test taker?

Answers

Answer:

If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?

Then I believe the answer is scheme D

Step-by-step explanation:

edge ( Brainliest if you can)

Distributive property of (-1)(4-c)

Answers

Answer:

[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]

Step-by-step explanation:

[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]

Two sides of a triangle measure 10 cm and 18 cm. Which could be the measure of the third side of the triangle?
6 cm
8 cm
12 cm
30 cm

Answers

Answer:

12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22

Step-by-step explanation:

Final answer:

The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.

Explanation:

The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.

Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.

ASAP NEED ANSWERS :) PLEASEEEEEEEE

Answers

Answer:

C I think.

Step-by-step explanation:

Answer: Choice A)  The circumference of one of the circles would be greater than the longer side of the rectangle

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

Why this is the answer:

The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.

While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r

Comparing 6.28r and 6r, we see that 6.28r is larger than 6r

6.28r > 6r

6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)

This is true for any value of r.

What is the area of this parallelogram?


A.60 cm²

B.66 cm²

C.72 cm²

D.132 cm²

Answers

Answer:

Hello, Your answer will be,D) 132cm²

Hope That Helps! And if you find this answer helpful you can give me a brainleist!

Answer:D.132cm^2





Explanation:




James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.

Answers

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

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

2x = 116

x = 58

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

y = 97 - 58

y = 39

Final answer:

To find the ages of two friends based on the sum and difference of their ages.

Explanation:

James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:

Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.

Therefore, James is 58 years old, and Tyson is 39 years old.

Edward owes his parents $20 for a new video
game that he bought. He pays his parents back
$5 every 2 days. Complete the table and graph
to find how long it will take Edward to
pay back his debt.

Answers

Answer:

it would take Edward 8 to pay back his debt

Step-by-step explanation:

every 2 days he pays his parents 5 bucks so because 5 times 4 equals 20 he would have to multiply the 4 by 2 and that gets you 8 days

Final answer:

Edward will pay back his $20 debt to his parents by repaying $5 every 2 days; thus, it will take him 8 days in total to repay the full amount.

Explanation:

The question asks us to determine how long it will take for Edward to pay back a $20 debt to his parents if he repays $5 every 2 days. To solve this, we can set up a simple table showing the cumulative amount paid over time, and then establish a corresponding graph if needed. Here's how the repayment schedule works out:

Day 0: $0 paid back

Day 2: $5 paid back (Total: $5)

Day 4: $5 paid back (Total: $10)

Day 6: $5 paid back (Total: $15)

Day 8: $5 paid back (Total: $20)

From the table, it is clear that it will take Edward 8 days to pay back the full $20 debt.

Find the perimeter of a rectangle with a base of 24m
and a height of 36m.

Answers

To find the perimeter of a rectangle, you need to add the lengths of the rectangles four sides. Since we have the base and the height this is easy. 24 x 2 + 36 x 2 = 120. Hope this helps!

need this answer asap my homework is due soon

Answers

Answer:

a) x < 3

b) 3,4,5,6

c) x > 6

Step-by-step explanation:

a) x < 3

b) 3,4,5,6

c) 3x + 7 > x + 19

2x > 12

x > 6

What is the factored form of x6 - 9?​

Answers

Answer:

Step-by-step explanation:

(x 3)(x – 3)

(x5 3)(x – 3)

(x3 3)(x2 – 3)

(x3 3)(x3 – 3)

Answer:

(x3 + 3)(x3 – 3)

Step-by-step explanation:

Practice
pies and factors - QUIZ - LEVEL
Which statement is true?
4 is a factor of 18.
4 is a factor of 20.
4 is a factor of 26.
4 is a factor of 30.

Answers

Answer:

4 is a factor of 20.

Step-by-step explanation:

Final answer:

The true statement regarding factors is that 4 is a factor of 20. This is proven by dividing 20 by 4, which results in 5 without any remainder.

Explanation:

The question asks which statement is true regarding factors of numbers. A factor is a number that can divide another number without leaving a remainder. For example, 4 is a factor of 20 because when you divide 20 by 4, there is no remainder, and you get 5 which is a whole number. So the true statement among the given options is that 4 is a factor of 20.

Looking at the other options, 4 is not a factor of 18 since 18 divided by 4 gives you 4 with a remainder of 2. Similarly, 4 is not a factor of 26 because 26 divided by 4 is 6 with a remainder of 2. Lastly, 4 is not a factor of 30 because 30 divided by 4 is 7 with a remainder of 2. Therefore, the correct answer is that 4 is a factor of 20.

I need help ASAP! Please do not decimal it

Answers

Answer:

the correct answer for this question is

1¹/³ is 0.333'

and the second one is 1.111'

Answer:

Place one on the 3rd mark after one, then the 5th mark after 2

Step-by-step explanation:

Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter

Answers

The perimeter of the triangle = 60 cm

Solution:

The given triangle is a right triangle.

Base of the triangle = 15 cm

Hypotenuse = 25 cm

Let the unknown side of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]x^2+15^2=25^2[/tex]

[tex]x^2+225=625[/tex]

Subtract 225 from both sides,

[tex]x^2=400[/tex]

Taking square root on both sides, we get

x = 20

The unknown side of the triangle is 20 cm.

The perimeter of the triangle = Sum of the sides of the triangle

                                                 = 15 cm + 25 cm + 20 cm

                                                 = 60 cm

The perimeter of the triangle = 60 cm



On 1st January 2016 Li bought a boat for $170000

The value of the boat depreciates by 8% per year.

Work out the value of the boat on 1st January 2019

Give your answer correct to the nearest dollar.

Answers

Final answer:

After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.

Explanation:

The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.

Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).

So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258

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if a pair of 1-6 number generators is tossed once, what is the propabilitly that the total number rolled would be..1?.... 2?.... 3?​

Answers

Probability that the total number rolled would be 1 , 2 , 3  is [tex]\frac{1}{6}[/tex] or 0.167 each .

Step-by-step explanation:

Here we have , a pair of 1-6 number generators is tossed once,   . We need to find that  what is the probability that the total number rolled would be..1?.... 2?.... 3?​. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .

Probability for 1: Number 1 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 2:Number 2 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 3:Number 3 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step

Answers

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

Help. Interpreting Graphs Of Proptional Relasionships. !

Answers

Final answer:

Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.

Explanation:

When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.

Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.

Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.

Which fraction is larger 2/3 3/12 4/5 3/4

Answers

Answer:

4/5

Step-by-step explanation:

2/3 is  0.66666666

3/12 is 0.25

4/5 is 0.8

3/4 is 0.75

The largest fraction is 4/5.

Comparing Of Fractions.

To compare these fractions, make sure they all have the same denominator.

The lowest common factor is 60

Now, express each fraction with a denominator of 60.

2/3 = 40/60

3/12 = 15/60

4/5 = 48/60

3/4 = 45/60

Therefore, the largest fraction is 48/60 which is equivalent to 4/5.

So, 4/5 is the largest fraction among the given fractions.

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What are the characteristic of financially responsible decision ​

Answers

1. Detail- oriented.
2. Patient.
3. Rational.
4. Self-confident.
5. Savings focused.

I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!

Find the volume of the prism.

A. 250 yd3

B. 50 yd3

C. 20 yd3

D. 200 yd3

Answers

Answer:

D

Step-by-step explanation:

To find Volume, you multiply length, width and height.

10x4=40

40x5=200

Answer:

D)200yd^3

Step-by-step explanation:

all you have to do is times 4*5*10=200 to get the volume


Anna pays for her purchase with four $20 bills and two $10 bills. Which is the correct change for Anna's purchase?
A) Two $1 bills, one nickel, and two pennies
B) Two $1 bills and one dime
C) Three $1 bills, one nickel, and two pennies
D) Three $1 bills, two nickels, and two pennies
E) None of the above

Answers

Answer:

what was she buying ?total she has 100 dollars

Step-by-step explanation:

I think the answer would be E

1 meter = 100 centimeters
Each centimeter is
_or_
of a meter.

Answers

Answer: 1/100 or 0.01

Answer:

1 cm = 0.01 m

Step-by-step explanation:

Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:

  1 meter        100 cm

---------------- = -------------

 100                 100

Reducing this, we find that:  1 cm = 0.01 m

a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?​

Answers

Answer:   17lbs of carrots

Step-by-step explanation:

the area of the base (B) of a triangular pyramid is 28 cm. The perimeter (p) is 20 cm, and the slant height (S) is 5 cm. Determine the pyramid's surface area. A) 96 cm2 B) 128 cm2 C) 225 cm2 D) 78 cm2

Answers

Answer: D. 78cm2

Step-by-step explanation:

SA=B+1/2ph

SA=28+1/2(20)(5)

SA=78cm2

Answer:

78 cm2

SA = B +  

1

2

ph

SA = 28 +  

1

2

(20)(5)

SA = 78 cm2

If the r-value, or correlation coefficient, of a data set is 0.934, what is the
coefficient of determination to three decimal places?

Answers

.872

To find the coefficient of determination, simply square the r-value (r^2).

(.934)^2 = .872356
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