Mathematics College

A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a total of $140 to rent movies and video games from this store. If he rented twice as many video games as movies, how much did he spend on movie rentals during the summer?

Answers

Answer 1
Let's use the variables m and v for this:
4m + 3v = 140
v = 2m
Insert this variable:
4m + 3(2m) = 140
4m + 6m = 140
10m = 140
m = 14
One movie costs 4 dollars:
14*4 = 56
He spent $56 on movies

Related Questions

How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,730 ?

Answers

The sum of n terms of a geometric series is given by
[tex]S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}[/tex]

Substituting the given numbers, you have
[tex]2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6[/tex]

There are 6 terms in the series.

400,000 + 80,000 + 4,000 + 50 + 9 Write the standard form of the number shown above.

Answers

Add:

 400,000
   80,000
      4,000
           59
--------------
484,059 (answer)
Hello there, and thank you for posting your question here on brainly.

Short answer: 484,059

Why?

This equation shown is an expanded form of a number. 400k is the largest number, so that'd go first. 80k is the second largest, so that would go next to the largest number, 4. (400k) 4k is the third largest, so that'd go next to the first and second largest numbers, 48. (480k) Now, we have 484,000. Since there is no hundred, we put a zero there. Now, add a 59 at the end of the zero. Which gives us the number 484,059.

Hope this helped you! ♥

Robert planted 24 daffodil bulbs and 36 tulip bulbs in his guarden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Roberts guarden? Expressed as a simplified ratio.

Answers

36:24->
18:12 ->
9:6 ->
3:2 is the simplified ratio
Final answer:

The ratio of tulips to daffodils in Robert's garden is 3:2. This is obtained by dividing the number of tulips by the number of daffodils (36/24), and simplifying the result.

Explanation:

This problem pertains to ratios. Given that Robert planted 24 daffodil bulbs and 36 tulip bulbs, the ratio of tulips to daffodils is obtained by dividing the number of tulips by the number of daffodils. Thus, the ratio is 36/24. This simplifies to 1.5 when expressed as a decimal. However, we need the ratio in its simplest form, so let's convert 1.5 into a whole number. By multiplying both numbers by 2, we get the ratio 3:2. Therefore, the ratio of tulips to daffodils in Robert's garden is 3:2

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A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend


A. 1-inch IMC.

B. 3/4 inch IMC.

C. 1/2 inch EMT.

D. 1-inch rigid conduit.

Answers

1/2 inch EMT.........................

there is one plane that leaves from the city to the ski resort every hour. the first plane leaves at 10 the last plane leaves at 4 how many planes fly to the resort each day

Answers

There are flights at 10, 11, 12, 1, 2, 3, 4. That's a total of 7 flights per day.

Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fraction and as a decimal?

Answers

For this case we have:
 1 quarter:
 (1) * (0.25) = 0.25 $
 2 dimes:
 (2) * (0.1) = 0.2 $
 13 pennies:
 (13) * (0.01) = 0.13 $
 Adding we have:
 0.25 + 0.2 + 0.13 = 0.58 $
 As a fraction:
 58/10 = 29/5 $
 Answer:
 The total amount of money as a fraction and as a decimal are:
 $ 29/5
 $ 0.58

Solve, if 1.32 : 3 1/7 = (14y) : 5/6

Answers

we have that
1.32 : 3 1/7 = (14*y) : 5/6

we know that
3 1/7------> (3*7+1)/7------> 22/7

substitute
1.32 : 22/7 = (14*y) : 5/6
1.32*(5/6)=14*y*(22/7)
1.1=44*y
y=1.1/44--------> y=0.025

the answer is
y=0.025

How do you do a probability tree? How do you start it? How do I get all my percentages to add up to 100?

Please help guys, this is for a project. I need to know the steps on how to do one or I'll funk the class.

Answers

why you just give the question give the question && the answer !!!

Answer:

why you just give the question give the question && the answer !!!

expand (x^2-3/2)^9 using binomial process

Answers

Use the Binomial expansion theorem to find and simplify each term.

[tex] x^{18} - \frac{ 27x^{6} }{2}+ 81x^{14}- \frac{ 567x^{12} }{2}+ \frac{ 5103x^{10} }{16}- \frac{ 15309x^{8} }{16}+ \frac{ 15309x^{6} }{16} - \frac{ 59049x^{2} }{256}- [/tex][tex] \frac{19683}{512} [/tex]

Man that was a lot to type out, hopefully i helped, and Gosh I hope I get a brainly for all that freaking typing. hehe~ ^.^

Factor completely. y2 - xy - 56x2

Answers

For this case we have the following expression:
 y2 - xy - 56x2
 Rewriting we have the factored expression, which is given by:
 (7x + y) (y-8x)
 Checking we have:
 7xy - 56x ^ 2 + y ^ 2 - 8xy
 y ^ 2 - xy - 56x ^ 2 (OK)
 Answer:
 The factored expression is given by:
 y2 - xy - 56x2 = (7x + y) (y-8x)

Answer:

(y - 8x) (y + 7x)

Step-by-step explanation:

This person's videos helped me out so much with questions like these.

Brian McLogan -

1) Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2

2) Learn How to Factor a Trinomial in Your Head When a is not Equal to One

I'm not paid to do this, I genuinely recommend you watch these two videos, because it helped me tremendously when I once did a question like this.

Have a blessed day!

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

Answers

Final answer:

Rhombus B, which has dimensions three times larger than Rhombus A, has an area that is nine times larger than the area of Rhombus A.

Explanation:

This question is based on geometry and compares the areas of two rhombuses. Firstly, remember that the area of a rhombus is obtained by the formula A = base x height. For Rhombus A, with a base of 7 inches and area 35 square inches, this implies that its height is 5 inches (since 7 x 5 = 35). Therefore, the height of Rhombus B which is three times larger than that of Rhombus A would be 15 inches, and its base would be 21 inches (three times that of Rhombus A).

Now applying these values into the formula for the area of a rhombus, for rhombus B we get A = 21 x 15, which equals 315 square inches - this is the area of Rhombus B. Comparing this with the area of Rhombus A (35 square inches), we find that Rhombus B is 9 times larger than Rhombus A (because 315 divided by 35 equals 9).

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Final answer:

By increasing the base and height of Rhombus A by three times, the resulting area of Rhombus B is nine times the area of Rhombus A. The area of Rhombus A is 35 square inches and the area of Rhombus B is 315 square inches.

Explanation:

The subject of this question is area of rhombuses. A key concept to remember is that the area of a rhombus is calculated by the formula: Area = base x height.

Rhombus A has base of 7 inches and an area of 35 square inches. This means the height h of Rhombus A is A/base = [tex]35/7 = 5[/tex] inches.

The base and height of Rhombus B are three times the base and height of rhombus A. So, Rhombus B has a base of [tex]7 * 3 = 21[/tex] inches and height of [tex]5 * 3 = 15[/tex] inches.

To find the area of Rhombus B, you apply the same formula, Substituting the values we get, B = base x height = [tex]21 * 15 = 315[/tex] square inches. Therefore, the area of Rhombus B is nine times the area of Rhombus A since 315/35 = 9.

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Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6

Answers

Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6

The correct answer is d)2/6
Since, once solved, the value would give, 0.33333333333333333333333333333333
the answer to this question is 2/6

The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with a mean of 18.6 and a standard deviation of 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?

Answers

The mean of the distribution of the sampling mean is the same as the mean of the population, 18.6.

WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)

Answers

p - 4 is common to  the 2 parts so we have

(2y^2 - 7)(p - 4)  Answer
For this case we have the following expression:
 2y ^ 2 (p-4) -7 (p-4)
 The first thing you should observe is the similar terms in both parts of the expression.
 We note that the term (p-4) is repeated in both parts of the expression.
 Therefore, by doing common factor (p-4) we have:
 (p-4) (2y ^ 2-7)
 Answer:
 The expression in complete factored form is:
 (p-4) (2y ^ 2-7)

3,072 c= _______ gal

Answers

3072 c = 192 gal

That is the answer

There are 16 cups in a gallon

You divide 3072 by 16 which gives you 192.

Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows that the bank pays a 3 percent interest rate. He sits down with a pen, paper, and calculator to find out the simple interest

Answers

Nice story.

We suppose the question is, "what is the amount of interest Matt will be paid?"

The formula that applies is
  I = Prt
  I = $550*0.03*1 = $16.50

Matt will be paid $16.50 in interest for the year.

In what form is the following linear equation written?

A. standard

B. Point Slope

C. Slope intercept

D. Rise Run

Answers

This is point slope form which in general is

y - y1 = m(x-x1)

The slope is m, which in this case is m = 2/3
The point this line goes through is (x1,y1) = (1,3)

As the name "point slope form" suggests, this form quickly lets us know the slope and one point that is on the line.

does anyone know the answer???

Answers

The slope of line AB is
  slope = (change in y)/(change in x)
  slope = (14 -(-3))/(7 -(-10)) = 17/17 = 1

The slope of line CD is the negative reciprocal of that, -1/1 = -1.
The point-slope form of the equation for line CD can be written as
  y = -1(x -5) +12
  y = -x +17

The x-intercept is the value of x when y = 0.
  0 = -x +17
  x = 17
The x-intercept is ...
  (17, 0)



Another way to write the equation for line CD is "standard form." For this, we add x to the slope-intercept form to get ...
  x + y = 17

For the second part of your question, we can find the answer by adding the x- and y-coordinates to see which sum is 17.
  -5 +24 = 19
  -2 +19 = 17 . . . . . . . . . the point (-2, 19) is the correct choice
  7 +(-10) = -3
  8 +11 = 19

Frank wrote 1/2 of his book report before dinner. he wrote another 1/8 of the report after dinner. What fraction of the report did he finish?

Answers

Final answer:

Frank finished 5/8 of the report.

Explanation:

To find the fraction of the book report that Frank finished, you need to add together the fractions of the report he wrote before and after dinner. Frank wrote 1/2 of the report before dinner and 1/8 of the report after dinner. To add these fractions, you need to find a common denominator. The least common multiple of 2 and 8 is 8, so you can rewrite 1/2 as 4/8. Adding 4/8 and 1/8 gives you a total of 5/8.

Therefore, Frank finished 5/8 of the report.

In the eco-garden of a school, the number of aquatic animals is 80% of the number of aquatic plants. There are 162 aquatic plants and animals in all. How many aquatic animals are there in the eco-garden?

Answers

Final answer:

By establishing a relationship between the total number of aquatic plants and animals and knowing that animals are 80% of the plants, we can determine that there are 72 aquatic animals in the eco-garden.

Explanation:

To calculate the number of aquatic animals in the eco-garden, we need to first establish the relationship between the number of animals and plants. According to the information, the number of aquatic animals is 80% of the number of aquatic plants. If we denote the number of aquatic plants as 'P' and aquatic animals as 'A', then A = 0.80 × P.

Given that there are a total of 162 aquatic plants and animals, we can represent this as A + P = 162. Since A is 80% of P, we can substitute the first relationship into the second equation, which gives us 0.80 × P + P = 162. Simplifying this, we get 1.80 × P = 162.

To find the value of P, we divide both sides by 1.80 to get P = 162 / 1.80, which yields P = 90. This indicates there are 90 aquatic plants. To determine the number of aquatic animals, we use the relationship A = 0.80 × P, so A = 0.80 × 90, resulting in A = 72.

Therefore, there are 72 aquatic animals in the eco-garden.

Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. What are the dimensions of the garden

Answers

Length is 130 ft. and width is 26 ft.

The graph represents the feasible region for the system:  y<2x                        x + y 45 x > 30 Minimize the objective function P = 20x + 16y.

Answers

minimum value= 780
and occurs when x= 15
and y=30

the function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2 \\\\\\ \textit{we also know that } \begin{cases} f(x)=96\\ x=4 \end{cases}\implies 96=k(4)^2\implies 96=16k \\\\\\ \cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2} \\\\\\ \textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2[/tex]

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2

Answers

The perimeter of the given rectangle is 
   2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is 
   (6 cm)*(8 cm) = 48 cm^2

The larger rectangle will have a perimeter of
   6.5*28 cm = 182 cm
The larger rectangle will have an area of
   6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area

The appropriate choice is the 3rd one, ...
   Perimeter = 182 cm, area = 2,028 cm^2

Answer:

Perimeter = 182 cm, area = 2,028 cm^2

Step-by-step explanation:


Start over a triangle prism has a height of 9 in the Triangle base has a base of 3 in in the heights of 8 in find the volume of the prism

Answers

the formula to get the volume of the triangular prism is;

V = B x H1 x H2

where;

B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.

now, to find the area of the base simply use the formula

A = 1/2 B x H

where B is the value of the base and H is the value of the height of the triangle.

given the formula we can derive another formula to get the volume of the triangular prism.

V = 1/2 B x H1 x H2

given the formula, you can now substitute the values 
.

V = 1/2 (3 in. x 8 in. x 9 in.)

V = 1/2 (216 in.^3)   

V = (216 in.^3)/2

V = 108 in.^3   this is the final answer 

The continuous function f is defined on the interval -4 ≤ x ≤ 3. there is no point c, -4 ≤ c ≤ 3, for which

Answers

We can say that there is no point c, which is not defined on this function's domain. Indeed, the intervals of this function and the interval of c coincide. 

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u-v)(x)?

Answers

For domain to work, we would need to find intersection of two domain sets. Because if one input causes one function to be undefined, then combined function would be undefined too.

So then domain of (u-v)(x) would be the set of all real values except 0 and 2.

Hope this helps.

Answer: x = 2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

Suppose that 12 inches of wire costs 60 cents. At the same rate, how much (in cents) will 27 inches of wire cost?

Answers

The 12 inches wire costs 60 cents, so the cost of 1 inch of wire is

Rate = 60/12 = 5 cents

So the cost of 1 inch of wire which is the rate is 5 cents.

Now we have to find the cost (in cents) of 27 inches wire.

We know the cost of 1 inch of wire is 5 cents so the cost of 27 inches of wire is

= Total inches of wire * Price of 1 inch of wire

= 27 * 5

= 135

The cost of 27 inches of wire is 135 cents

Stocks are units of ownership in a company. The stock market is a place where stocks are bought and sold. When you buy a stock, you own a part of the company. If the company’s profits go up, the stock value goes up. If the profits fall, so does the value of the stock. Stock prices rise and fall every day. Last week, Isabelle bought stock in a toy company. Since then, the price of the stock had a change of -3 dollars. What is the absolute value of -3?

Answers

The absolute value is three.
Think of it like this. Whenever the absolute value is there, the number or expression inside, whether negative or positive takes a shower. When they are done showering, they are clean. The clean equals positive, all numbers after absolute value are positive so the answer is three.

Answer:

The absolute value is three!

Step-by-step explanation:

have a nice day/night!

19 hundred thousandths in scientific
notation

Answers

19 hundred thousandths is the same thing as 0.00019. With scientific notation the number must be greater than or equal to one and less than two, so the answer would be 1.9*10⁻⁴ since it is in the decimals
Final answer:

The scientific notation of 19 hundred thousandths which is 0.000019 is 1.9 x 10^-5.

Explanation:

The number 19 hundred thousandths would mean 19 divided by 1,000,000 which equals 0.000019. When we convert this decimal to scientific notation, it becomes 1.9 x 10^-5. In scientific notation, we want to express a number as a value between 1 and 10 multiplied by a power of 10. So, to convert 0.000019 to scientific notation, we need to move the decimal point five places to the right, which gives us 1.9. The '10^-5' shows that the decimal point has moved five places to the right from the original number.


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