A customer at a concession stand bought 2 boxes of popcorn & 3 drinks for $12. Another customer bought 3 boxes of popcorn & 5 drinks for $19. How much does a box of popcorn cost? How much does a drink cost? Write and solve a system of equations Equation 1 : ______________ Equation 2: ______________ Popcorn: _______ Drink: ______

Answers

Answer 1

Answer:

$10 each

Step-by-step explanation:


Related Questions

A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?

Answers

Step-by-step explanation:

me kuch nhi karunga

When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?

Pls help ASAP I’ll brainlest

Answers

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

4
3
?
2
5
10
5
15
20
What is the missing number?​

Answers

Answer:

i think it's 7

Step-by-step explanation:

i think the pattern is like

x + x = x

x • x = x ( • = multiplication sign)

x + x = x

Hope this helps ;-;

6y + 25 = 79
can you please help?

Answers

Answer:

y=9

Step-by-step explanation:

6y=79-25

= 6y= 54

= y=54/6

= y= 9

6y+25=79
Subtract 25 from both sides
6y=54
Divide both sides by 6
Y=9

Question 5 (Fill-In-The-Blank Worth 5 points) (04.01 LC) The coordinates of point Aon a grid are (5.-3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5,_​

Answers

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Help

Don’t use for points or will take it back

Answers

Answer:

134=2x

X= 67

hope it helps

134 because the isosceles base angles thereom

23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes

Answers

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?

1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.

Karen: y = x +
Alice: y = x +

2. What are the slopes of the lines represented by the equations?

3. What are the y-intercepts of the lines represented by the equations?

4. Do the lines intersect?

5. How many solutions are there to this system of equations?

math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?​

Answers

Answer:

(1)

Karen: [tex]y = 2x +3[/tex]

Alice: [tex]y = 2x +1[/tex]

(2): Slope is 2

(3) y intercept

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) They do not intersect

(5) No solution

(6) No

Step-by-step explanation:

Given

[tex]x = loaves[/tex]

[tex]y = amount[/tex]

Solving (1): Complete the equation.

For Karen:

[tex]m = 2[/tex] --- the rate

[tex]b = 3[/tex] --- additional spendings

For Alice:

[tex]m = 2[/tex] --- the rate

[tex]b = 1[/tex] --- additional spendings

The general equation is;

[tex]y = mx +b[/tex]

For Karen, it becomes

[tex]y = 2x +3[/tex]

For Alice, it is:

[tex]y = 2x +1[/tex]

(2): The slopes.

In (1), we have:

[tex]m = 2[/tex] --- the rate (for both Karen and Alice).

This rate implies the slope.

Hence, the slope is 2

(3): The y intercept.

The additional spendings in (1) means the y intercept.

So, we have:

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) Because they have the same slope, they do not intersect

(5) Number of solutions.

[tex]y = 2x +3[/tex]

[tex]y = 2x +1[/tex]

Subtract both equations

[tex]y-y = 2x-2x +3-1[/tex]

[tex]0 = 2[/tex]

This means there is no solution

(6) Can they spend the same amount on the same number of loaves

In (5), the equations have no solution

Hence, it is not possible to spend the same amount for the same number of loaves

A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office?

Answers

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]

[tex]P(S) = \dfrac{21}{56}[/tex]

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?

6.83 years
7.83 years
8.67 years
9.67 years

Answers

Answer: 7.83 years

:)))

An amount of $42,000 is borrowed for 6 years at 9% interest, compounded annually. If the loan is paid in full at the the end of hat period how much must be paid back?

Answers

Answer:

70,438.20

Step-by-step explanation:

To calculate the future value you use the following formula

FV=PV(1+i)^n

Plug in our numbers and get

FV=42000(1+.09)^6

42000*1.09^6=70,438.20

A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
How far is the top of the ladder from the ground?
How far is the bottom of the ladder from the wall?

Answers

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

The top of the ladder is 3.7088 m away from the ground.

The bottom of the ladder is 1.5 m away from the wall.

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Angle = 68 degree

Hypotenuse = 4 m

Now, using Trigonometry

sin 68 = P/ H

0.9272 = P/ 4

P = 3.7088 m

Thus, the top of the ladder is 3.7088 m away from the ground.

Now, using Pythagoras theorem

H²= P² + B²

4² = (3.7088)² + B²

16 = 13.75 + B²

B² = 2.25

B= 1.5 m

Thus, the bottom of the ladder is 1.5 m away from the wall.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?

Answers

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

 

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).

As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,

[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]

Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.

Learn more about Equation:

https://brainly.com/question/2263981

what is sociallizatioj​

Answers

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Job-sharing is an innovative employment alternative that originated in Sweden and is becoming popular in the United States (for example, in 2001, 26% of companies in the U.S. offered it as a flexible work option). Firms that offer job-sharing plans allow two or more persons to work part-time, sharing one full-time job. For example, two job-sharers might alternate work weeks, with one working while the other is off. Job-sharers never work at the same time, and may not even know each other. Job-sharing is particularly attractive to working mothers and to people who frequently lose their jobs due to fluctuations in the economy. In a recent survey of 1,035 major U.S. firms, approximately 23% offer job-sharing to their employees.

For each of the questions, select the correct answer from choices i. through xi. listed below.

a. What is the population of interest?
b. What is the variable measured?
c. What is the sample selected?
d. What is the parameter?
e. What is the statistic?


i. All major U.S. firms
ii. All major firms in the world
iii. All U.S. firms
iv. Job-sharing availability
v. Proportion of employees who are working mothers
vi. The 1,035 firms surveyed
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
ix. 25%
x. The percentage of all U.S. major firms which employ working mothers
xi. All workers in the U.S. who have participated in he job-sharing program


Answers

Answer:

a. The population of interest is:

xi. All workers in the U.S. who have participated in the job-sharing program

b. The variable that is being measured is:

viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees

c. The sample selected is:

vi. The 1,035 firms surveyed

d. The parameter is:

v. Proportion of employees who are working mothers

e. The statistic is:

ix. 25% (stated as 23%)

Step-by-step explanation:

The parameter of a population is a fixed value calculated from every individual in the population.  It is different from a statistic, which is computed from a sample of the population.  The statistic is meant to approximate a population parameter.

You can use the definition of parameter and statistic to distinguish between the two.

The answers to the given sections are:

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

What is a population and parameter?

The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.

Ex: If we're taking about health problem in a country, then the whole country people form a population.

If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.

Those numbers who summarize information about population are called parameter.

What is sample and statistic?

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

Using the above definitions to find the answers

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

Learn more about parameter and statistic here:

https://brainly.com/question/3640262

Check all the statements that are true:

a. A predicate is a proposition-valued function.
b. It is possible to define disjunction using only negations and conjunction.
c. A conditional is false when both premise and conclusion are false.
d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional.
e. The negation of a conjunction is the disjunction of the negations.
f. Inverse and converse are logically equivalent.
g. (p→q)∧(p→¬q) is a contradiction.
h. (p→q)∨(p→¬q) is a tautology.
i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional.
j. The contrapositive is the inverse of the converse.

Answers

Answer:

a. True

b. False

c. True

d. True

e. False

f. True

g. False

h. True

i. True

j. True

Step-by-step explanation:

The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.

Answer:

true

false

true

true

false

true

false

true

true

true

Which of the following statements about this function's domain is true?


A.) Domain: 0≤x≤16 and 0 The domain represents all of the values that were measured in this problem.


B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.


C.) Domain: 0 The domain represents the set of all possible outputs - the various depths of the pool.


D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.

Answers

Answer:

D.) Domain: 0≤x≤16

The domain represents the set of all possible inputs - the times when depth was measured

Step-by-step explanation:

Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.

In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.

Domain ranges from 0 to 16. Thus:

Domain: 0 ≤ x ≤ 16

The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

help ill give brainliest 9 − 3z + 4 + 6z − 2 = ______

15 + 9z

11 + 3z

11 + 9z

11 − 3z

15 + 3z

Answers

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

[B] 11 + 3z

Explanation:

9 − 3z + 4 + 6z − 2

Group Like Terms

-3z + 6z + 9 + 4 - 2

Add Similar Elements: -3z + 6z = 3z

3z + 9 + 4 - 2

Add / Subtract: 9 + 4 - 2 = 113z + 11

Find c.
Round to the nearest tenth:

Answers

Answer:

Step-by-step explanation:

2/Sin(105) = c / sin(15)

2 * sin(15) = c * sin(105)        Divide by Sin(105)

2 * sin(15)/Sin(105) = c

2 * 0.2679  = c

c = 0.539

c = 0.5

can someone help me ?!

Answers

Answer:

Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake

Step-by-step explanation:

Write the expression using exponents.
2.1•x•z•z•z•z

Answers

Answer:

I believe it's 2.1xz^4

Step-by-step explanation:

The expression of exponent is  2.1.x.z⁴ or 2.x.z⁴.

What is exponent?

The process of expressing large numbers in terms of powers is what is meant by the term "exponent." Therefore, the term "exponent" refers to the number of times a number multiplies itself.

The exponent is represented by the character (^), which is also known as a carrot.

Given expression

2.1.x.z.z.z.z

here z repeats 4 times,

according to exponents z can be written as

z⁴,

2 and 1 and x are not repeated so there powers are only 1

expression is

2.1.x.z⁴ or

2.x.z⁴

Hence the expression is  2.1.x.z⁴ or 2.x.z⁴.

Learn more about exponent;

https://brainly.com/question/5497425

#SPJ2

b.) -1, 6, -36, ....​

Answers

Answer:
108, -648, 3888
Pattern: multiply by -6

-2(x+1)-x+5 what do you think it is

Answers

Answer:

The answer is -3x + 3

Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .

Answers

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?

O parallelogram
Orhombus
O rectangle
O trapezoid

Answers

Rectangle

Just finished the post test right now.

is y=5/7x+2,y=5/7x-30 parell or perpendicular

Answers

Answer:

is y=5/7x+2,y=5/7x-30 parell or perpendicular

It's parallel

When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?

Answers

Answer:

Step-by-step explanation:

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

Answer:

A 60% chance

Step-by-step explanation:

Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?

Answers

Answer:

14 dimes and 4 quarters

Step-by-step explanation:

x= number of dimes

y=number of quarters

x-10=y

0.10x+0.25y=2.40

substitute for y

0.10x+0.25(x-10)=2.40

0.35x-2.50=2.40

0.35x=4.90

x=14

y=4

Other Questions
Does light travel faster in seawater or in fresh water? Does light travel faster in seawater or in fresh water? Light travels faster in seawater, because the index of refraction is smaller in seawater. Light travels faster in fresh water, because the index of refraction is smaller in fresh water. Light travels faster in fresh water, because the index of refraction is larger in fresh water. Light travels faster in seawater, because the index of refraction is larger in seawater. (3 bulletin points) for George Washington Carver Early Years!!!! x=-y+3,3x-2y=-1 use substitution to solve the equation If recycling 2,500 pounds of paper saves 20 trees, how many trees are saved when 4,000 pounds of paper are recycled? Answer quick plsWhy is it important for cells in your body to go through the cell cycle? Check all the statements that are true:a. A predicate is a proposition-valued function. b. It is possible to define disjunction using only negations and conjunction. c. A conditional is false when both premise and conclusion are false. d. Domain-restricted universal quantification is logically equivalent to the unrestricted universal quantification of a conditional. e. The negation of a conjunction is the disjunction of the negations. f. Inverse and converse are logically equivalent. g. (pq)(pq) is a contradiction. h. (pq)(pq) is a tautology. i. Domain-restricted existential quantification is logically equivalent to the unrestricted existential quantification of a conditional. j. The contrapositive is the inverse of the converse. -16+ x= -15Need this answer What is the volume of this rectangular prism? How much will Jason earn, if he invests $8,000 at 7.5% interest rate for 18 months? How much will be in the account at the end of the 18 months? A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side. Noah was hired for $28.751.00 per year. Howmuch does Noah receive per week? pls Help I hate math Which function is shown on the graph?A. f(x)=1/2cos xB. f(x)=1/2sin xC. f(x)=-1/2cos xD. f(x)=-1/2sin x what is a sacred ceremony which two involves in a lifelong commitment? Q#4) List and briefly explain two reasons why Lenin signed a peace-treaty with Germany in 1917.ASAP HelpDont use for points or will take it back Explain why Oxfordshire is an area that experiences water stress In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch Pls help ASAP Ill brainlest Solve. show all work-2x+10=20