Mathematics College

One month Mai rented
6 movies and 2 video games for a total of
$36. The next month she rented 3
movies and 5 video games for a total of $39. Find the rental cost for each movie and each video game.

Answers

Answer 1
The first thing we must do for this case is to define variables:
 x = rental cost of movies
 y = rental cost of video games
 We write the system of equations:
 6x + 2y = 36
 3x + 5y = 39
 Resolving we have:
 x = 4.25 $
 y = 5.25 $
 Answer:
 The rental cost for each movie and each video game is:
 movies = 4.25 $
 video games = 5.25 $

Related Questions

PLEASE HELP ASAP Arrange the expressions in increasing order of their values.

(10⁰x 10¹ x 1¹⁰) (10 x 10¹) (10⁰+10¹+1¹⁰) (10⁰+10¹x 1¹⁰)

Answers

For this case we have the following expressions:
 (10⁰x 10¹ x 1¹⁰)
 (10 x 10¹)
 (10⁰ + 10¹ + 1¹⁰)
 (10⁰ + 10¹x 1¹⁰)
 Rewrite we have:
 (1x 10 x 1) = 10
 (10 x 10) = 100
 (1 + 10 + 1) = 12
 (1 + 10x 1) = 11
 Answer:
 In increasing order we have:
 (10⁰x 10¹ x 1¹⁰)
 (10⁰ + 10¹x 1¹⁰)
 (10⁰ + 10¹ + 1¹⁰)
 (10 x 10¹)

Final answer:

After calculating the values of the expressions, they can be arranged in increasing order of their values as follows:

(10⁰x 10¹ x 1¹⁰), (10⁰ + 10¹x 1¹⁰), (10⁰ + 10¹ + 1¹⁰), (10 x 10¹).

Explanation:

To arrange the expressions in increasing order of their values, we must first calculate the value of each expression.

(10⁰ x 10¹ x 1¹⁰): Here, 10⁰ = 1, 10¹ = 10, and 1¹⁰ = 1 (since any number to the power of zero is 1). Multiplying these together, we get 1 x 10 x 1 = 10.(10 x 10¹): This equals 10 x 10 = 100.(10⁰+10¹+1¹⁰): Adding these values together gives us 1 + 10 + 1 = 12.(10⁰+10¹ x 1¹⁰): Following the rules of operations (multiply before adding), first calculate 10¹ x 1¹⁰ which equals 10 x 1 = 10, then add 10⁰ which is 1. So, this gives 1 + 10 = 11.

Now we can arrange the expressions in increasing order:

(10⁰x 10¹ x 1¹⁰) (10⁰ + 10¹x 1¹⁰) (10⁰ + 10¹ + 1¹⁰) (10 x 10¹)

how many lines of symmetry does the figure have??

Answers

Zero because its slanted

Answer: The given figure does not have any line of symmetry.

Explanation:

Since, Given figure seems a parallelogram.

And, a line of a symmetry is an imaginary line through which we get two same figure or unchanged figure. Or, we can say that Line of symmetry makes a reflection of a figure in which the size or shape of the figure does not change.

In the case of parallelogram diagonals must be the line of symmetry. But  any diagonal in parallelogram does not make symmetry. Therefore, there is no line of symmetry in parallelogram.

The data set below shows the weights of some puppies, in pounds, at a kennel: 10, 11, 11, 12, 13, 13, 13, 14, 15 Which histogram represents the data set?

Answers

The sample size of the data set is 9.The range of the data is 10 - 15.
Group the data into 5 bins according to the table shown below.
Bin   Count-----  --------- 10      3 11       1 12      2 13      0 14      2 15      1
A plot of the histogram n shown in the figure.The data is skewed toward a value of 10, which has the largest frequency of 3.The average is 12, and the median is 12.

Answer:

I think it is C

Step-by-step explanation:

hello can you please help me out on this question posted picture

Answers

There are 3 possible outcomes of each game.

So, the tree will start with 3 leaves, and each leaf will further be divided into 3 leaves. Thus the total number of leaves in the tree diagram will be 3 x 3 = 9 leaves.

Option A correctly represent this situation. 

Find the final amount of $1000 investment after 9 years at 8% interest compound quarterly

Answers

Here's the equation for one year:
1000 + 0.08(1000)
But because it is 9 years:
1000 + 9(0.08(1000))
1000 + 0.72(1000)
We can make it simpler:
1.72(1000)
Multiply:
1720
You will have $1720

Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?

Answers

Take the points (1,8) and (8,1). Use rise over run to estimate the slope of the scatter plot.

[tex] \frac{1 - 8}{8 - 1} = \frac{-7}{7} = -1[/tex]

The answer is -0.99, as this is the closest answer to the estimate we found.
Final answer:

Correlation coefficient measures the relationship between two variables in a scatterplot. Its value ranges from -1.0 to 1.0. You can estimate it by observing the direction and the closeness of the data points to a line of best fit.

Explanation:

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.

To estimate the correlation coefficient from a scatterplot, observe the tightness of the points around a line of best fit and whether the points are mainly increasing or decreasing. For tight points increasing, it's close to 1. For tight points decreasing, it's close to -1. If there's no pattern, it's close to 0.

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What percent of data is in quartile 1

Answers

One quarter (25%) of the data is in any quartile. That is the meaning of the term "quartile."

25% of data is in quartile 1

Leon deposited $30000 in a bank which paid 2% interest per year. After 1 year, Leon withdrew all his money including the interest. how much money did Leon withdraw?

Answers

The amount of money Leon had after 1 year will be given by:
A=P(1+r)^n
where:
P=principle
r=rate
n=time
But from the information given:
P=$30,000, r=2%, n=1 year
thus
A=30000(1+2/100)^1
A=30000(1.02)^1
A=$30600
Thus amount after 1 year was $30600

Josefina spent 20 + 3b dollars on a pair of earrings and three blouses that cost b dollars each how much did she spend in all if each blouse cost 15 $

Answers

She spent $65.

Step by Step-

She spent $15 on 3 blouses, so you would multiply and get that she spent $45 on blouses.

You would then add that to the $20 she spent before, and get $65.

Therefore, she spent $65.

Hope this helps!!

Josefina spent $65 in total, with $20 on earrings and $45 on three blouses at the cost of $15 each.

Calculating Total Cost

Josefina spent a certain amount of money on a pair of earrings and three blouses. The cost of the pair of earrings is separate from the blouses and is a fixed amount of $20. Each blouse costs $15, and she bought three blouses. Therefore, the total cost for the blouses is 3 times $15, which equals $45. To find the total amount Josefina spent, we need to add the cost of the earrings to the cost of the blouses.

Total spent on blouses = 3 * $15 = $45

Cost of the earrings = $20

Total amount spent = Cost of the earrings + Total spent on blouses

Total = $20 + $45 = $65

Therefore, Josefina spent a total of $65 on her purchase.

A rectangular table is six times as long as it is wide. If the area is 294 ftsquared​, find the length and the width of the table.

Answers

42 length   7 width
please respond back if it was correct

the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

The area of a rectangular table is 294 ft².

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Let the width of a rectangular table be x.

Then, six times as long as it is wide = 6x

Area of a rectangular table = 6x × x

⇒ 6x²=294

⇒ x²=49

⇒ x=7 feet

So, length=6x=42 feet

Therefore, the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

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Multiple 3/4 times 16/9

Answers

3/4 times 16/9 is equal to 1 1/3.
Short Answer: 4/3
Remark
Before doing the multiplication, you should do a cancellation. You can cancel fractions by dividing any numerator by the same thing that will go into any denominator or vica versa.

3 goes into 9 = 3
4 goes into 16 four times.

So the fraction cancellation looks like this.
[tex] \frac{ \frac{16}{4} }{ \frac{9}{3} } = \frac{ \frac{4}{1} }{ \frac{3}{1} } = \frac{4}{3} [/tex]

A lifeboat can carry up to 24 people. Write an inequality to represent this situation

Answers

the inequality is n<24
hoped it helped
brainlist plz
If x represents the number of people that the lifeboat is carrying, and the lifeboat can be empty at the very least, then the inequality would be: 0[tex] \leq [/tex]x[tex] \leq [/tex]24

Find the greatest common factor of 30 and 60

Answers

The greatest common factor of 30 and 60 is 15 because 15 times 2 is 30 and 15 times 4 is 60.

I hope this helped

How many milliliters equal 1052 cm3? A. 1052 B. 1.052 C. 105.2 D. 10.52 30 points

Answers

Hello there, and thank you for asking your question here on brainly.

Short answer: A. 1052 ml

Why?

1 cm = 1 ml, so what would that be? 1052 cm = 1052 ml.

Hope this helped you! ♥

Hello!

I believe the answer is A) 1052.

I hope it helps!

Find the area of the circle r= 7

Answers

Area = π r² = π (7)² = 49π = 153.94 unit²

Show that the sum, over the set of people at a party, of the number of people a person has shaken hands with, is even. assume that no one shake his or her own hand.

Answers

If we assume the total no. of people to be odd then the no. of handshakes

each person will have will be an even number.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Assuming the no. of total people to be 'n' and 'n' is an odd no.

Now if each person shakes hands with each other except their own hands each person will have (n - 1) no. of handshakes and (n - 1) or odd - 1 will always be an even no.

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The sum of handshakes is always even at a party as each handshake involves two people.

To show that the sum of handshakes is even:

Consider that each handshake involves two people, adding two handshakes to the total.

Since each person shakes hands with an odd number of people, the total sum of handshakes will be even.

Hence, the sum of the number of people a person has shaken hands with will always be even.

Analyze the diagram below and complete the instructions that follow.

Solve for y.

Answers

Y= 10 because you have a 180 degree angle split in half which equals 90 degrees so 3•30=90 the the other side has to equal 90 degrees so 2•30=60 then 3•10=30 so then just add 60 and 20 and there is your 90

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Triangle Z' is the image of triangle Z after a series of transformations.
Aliyah and Ivan described the sequence of transformations in different ways.
Which sequence or sequences are correct and why?

GRID AND ANSWERS PROVIDED IN IMAGES!

Answers

Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle .  

Answer:

The third option is correct.

Step-by-step explanation:

Which properties are necessary to claim that the two prisms are congruent? Check all that apply. The lengths of corresponding edges are in a 1:1 ratio. The volumes are equal. Corresponding angles have different measures. Corresponding faces are not congruent. The base areas are equal. The prisms have the same height.

ANSWER IS:
The base areas are equal.The prisms have the same height.
The lengths of corresponding edges are in a 1:1 ratio.The volumes are equal.

Answers

The base areas are equal.The prisms have the same height. The lengths of corresponding edges are in a 1:1 ratio.The volumes are equal.

The two prisms are congruent means that they have the same measures of bases, height, faces and angles.

Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

So, for congruent prisms, the corresponding angles are expected to be of the same sizes and the corresponding sides are expected to be of the same length.

Therefore the correct statements are:

The base areas are equal.

The prisms have the same height.

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

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12% of 250 is what answer

Answers

The answer is 30.

Hope this helped :)
alisa202

A 10-ounce container of chocolate chips can be used to make 3 desserts. Each dessert has the same amount of chocolate chips. Which equation shows how to find the number of ounces in each dessert? 10÷3=310 ounce 10÷3=103 ounces 3÷10=310 ounce 3÷10=103 ounces

Answers

The answer is 10 ÷ 3 = 3.33

Answer:

10 divided by 4 =10 over 4 is the correct answer guys if your doing think through math

Step-by-step explanation:

Two trucks started traveling from the same place at 9:00 a.m. One truck traveled North going 45 mph and the other traveled South going 50 mph. What time will it be when the trucks are 380 miles apart?

Answers

Short Answer 1 PM
Givens
South bound truck's rate = 50 mph
North bound truck's rate = 45 mph
Distance apart = 380 after time t
The time that passes = t

Equations
d = r * t
d1 + d2 = 380
d1 = r_south * t 
d2 = r_north * t

Substitute and solve.
r_south * t + r_north * t = 380
50*t + 45*t  = 380 Combine like terms.
95t = 380  Divide by 95
t = 380 / 95
t = 4 hours

Answer
t = 9:00 + 4 hours = 1300 hours = 1:00 PM  <<<< answer

Answer: 1:00 PM

Step-by-step explanation:

Identify one characteristic of exponential growth.

A. A graph that is an increasing curve
B. A common ratio between 0 and 1
C. A common ratio less than 0
D. A common difference greater than 0

Answers

A. Exponential growth is called growth because it increases, so A is correct.
B. A common ratio between 0 and 1 would result in decay, not growth
C. A common ratio less than one would just reflect the graph across the x-axis. It does not give any information about whether or not it is exponential growth.
D. Exponential growth functions have no common differences.

Thus, A is the correct answer.

Exponential growth features a quantity increasing at a constant growth rate. The correct answer is Option A.

Exponential growth is characterized by a situation where a quantity increases at a constant growth rate. It is often represented graphically by an increasing curve.

This means that as time progresses, the rate at which the quantity grows also increases. For example, the population of a species might grow slowly at first, but as it becomes larger, the growth rate accelerates.

Given the options in the question, the correct answer is:

Option A. A graph that is an increasing curve

Hey can you please help me posted picture of question

Answers

Answer: option C. Emily got 12 text messages, adn 5 were from Jasmine. The probability a text message is from Jasmine is 5/12.

Explanation:

All the other options are theoretical probabilities because they were determined using the equation:

probablity = number of positive events / total number of possible events.

While, experimental probabilities are determined from actual results of an experiment (test). That is what the option C. describes. It compares the number of times that she actually got a message (5) with the number of trials (12). It is not determined theoretically.

6.
Valdez Construction signed a note with a payment of $5,200 per quarter for 5 years.
Find the amount they must set aside today to satisfy this capital requirement in an account earning 8% compounded quarterly.


$30,506.32

$126,346.32

$51,054.38

$85,027.44

Answers

[tex]PV = C* \frac{1- (1+r/n)^{-nt} }{r/n} [/tex]

Where, PV = Present vale, C = Quarterly payments =$52,000, r = Annual interest rate = 8% = 0.08, n = Number of  payments per year = 4, t= time of payment in years = 5

Substituting,
[tex]PV = 52000* \frac{1- (1+0.08/4)^{-4*5} }{0.08/4} = $85,027.53[/tex]

The closest answer is $85,027.44

What is the scale factor of figure ABCD?

a. 1/3

b. 4/3

c. 3

d. the figure isn't dilated properly

Answers

we know that
measure ABCD=scale factor*[measure A1B1C1D1]

in the axis of the y coordinate
we have
scale factor=measure ABCD/measure A1B1C1D1
scale factor=3/1----->3

in the axis of the x coordinate
we have
scale factor=measure ABCD/measure A1B1C1D1
scale factor=8/6----->4/3

therefore

the answer is the option
d. the figure isn't dilated properly

Which number produces an irrational number when added to 2/5? A) 0.555... B) -0.4 C) -/`5 D) 2/7

Answers

Answer to this question is pie of 5

The number that produces an irrational number when added to 2/5 is 0.55....

What is a rational number?

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

To produce an irrational number when added to 2/5, the number must be irrational itself.

Therefore, options B, C, and D are eliminated since they are all rational numbers.

Option A, 0.555..., is a repeating decimal and can be expressed as a fraction of 5/9. When added to 2/5, we get:

2/5 + 5/9 = (18/45) + (25/45) = 43/45

Since 43/45 is not a rational number, the answer is A) 0.555...

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please help........there are 3 problems

Answers

[tex]1.\ x^2+5x+4=x^2+x+4x+4=x(x+1)+4(x+1)=(x+1)(x+4)\\\\2.\ x^2-10x+21=x^2-7x-3x+21=x(x-7)-3(x-7)=(x-7)(x-3)\\\\3.\ x^2+2x-63=x^2+9x-7x-63=x(x+9)-7(x+9)=(x+9)(x-7)[/tex]
if
[tex]x^2+10x+21[/tex]
then
[tex]=x^2+7x+3x+21=x(x+7)+3(x+7)=(x+7)(x+3)[/tex]

WANT TO BE THE BRAINLIEST PLZ ANSWER STEP BY STEP

Answers

A and C, because the others are incorrect, if you look at the chart you can see that B and D are not true as its the complete opposite.
The answer is c because hip hop is preferred more than country in the 9-11 age group

A collection of dimes and quarters worth $9.25. There are 46 coins in all. Find how many of each there are. How many dimes are there?

Answers

If all were quarters, the value would be 46*$0.25 = $11.50. The actual value is $2.25 less than that. Replacing a quarter with a dime reduces the value by $0.15, so there must be $2.25/$0.15 = 15 dimes

There are 15 dimes.
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