Mathematics High School

Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $20. If their total is $115, what is the cost of one month of game play?

Answers

Answer 1
The cost of one month play is $15 dollars. 15×5=75 and 20+20=40
75+40=115

Related Questions

In 1 1/2 h, a lawnmower uses 2 1/16 gal of fuel. How many gallons of fuel did the lawnmower use each hour?

Answers

the answer is 8/11, hope that helps.

Answer:

[tex]\frac{11}{8}[/tex] [tex]\text{gallons}[/tex]

Step-by-step explanation:

Given: In [tex]1\frac{1}{2}[/tex] hour, a lawnmower uses [tex]2\frac{1}{16}[/tex] gallon of fuel.

To Find: How many gallons of fuel did the lawnmower use each hour.

Solution:

Number of hour lawnmower used [tex]=1\frac{1}{2}[/tex] [tex]\text{hour}[/tex]

                                                         [tex]\frac{3}{2}[/tex] [tex]\text{hour}[/tex]

Fuel consumed by lawnmower   [tex]=2\frac{1}{16}[/tex] [tex]\text{gallon}[/tex]

                                                      [tex]\frac{33}{16}[/tex] [tex]\text{gallon}[/tex]

Fuel used by lawnmower each hour [tex]=\frac{\text{Total fuel used}}{\text{Total time taken}}[/tex]

                                                            [tex]=\frac{\frac{33}{16}}{\frac{3}{2}}[/tex]

                                                            [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]

Hence the fuel consumed by lawnmower each hour is [tex]=\frac{11}{8}[/tex] [tex]\text{gallon}[/tex]

The greatest integer function, shown below, is defined so that it produces the greatest integer __ or equal to x. f(x) = [ [x] ]

Answers

Less than or equal to X :)

The greatest integer function is defined so that it produces the greatest integer less than or equal to x

What is a function?

A relation is a function if it has only One y-value for each x-value.

The greatest integer function, denoted by [x], produces the greatest integer less than or equal to x.

Let us consider a example to understand better

[3.8] = 3, [-2.4] = -3, [0] = 0, and [-7] = -7.

The function f(x) = [[x]] applies the greatest integer function twice to x

so f(x) produces the greatest integer less than or equal to the greatest integer less than or equal to x.

Hence, the greatest integer function is defined so that it produces the greatest integer less than or equal to x

To learn more on Functions click:

https://brainly.com/question/30721594

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Find the quotient of 10/5

Answers

5 divided by 10 is 2
The answer is 10=-5
                       ----
                        5

Hope this helps

If five times the square of a certain positive number is decreased by twice the number, the result is 16. Find the number.

Answers

im pressed they made me sign up to see the asnwer and there isnt one 

An angle is a right angle if and only if the measure of the angle is 90°. True or false?

Answers

The answer is True. it is a right angle if it is 90°.
The answer to this question is TRUE!

translate into an equation:
1) The difference between a number and fifteen is seven.
2) Four more than three times a number is thirteen.
3) The sum of three consecutive odd integers is fifty-one.

Answers

In order to do these, simply translate the sentence mathematically.
1) x-15=7
2)3x+4=13
3)x+x+2+x+4=51
Hope this helped :D. Comment below if you have any questions!

If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are diamonds

Answers

Probability=13/52*12/51*11/50*10/49=11/4165

When maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.50 s. how many meters before a stop sign must she apply her brakes in order to stop at the sign?

Answers

In this question, we can determine Maggie car initial speed (15m/s), final speed(0m/s) and the time her car moves (2.5s). Then to calculate the distance she travels, we need to multiply the average speed with time. The equation would be:

Distance traveled= (initial speed+final speed)/2 x time
Distance traveled= (0m/s + 15m/s)/2 x 2.5 second= 7.5m/s x 2.5s= 18.75m

Standard deduction on federal income tax return for head of the household is $8350. hilda, a single mom of two, paid $6780 in state income tax and $1230 in mortgage interest last year. how should she file her taxes?

Answers

The answer is Claiming standard deduction

Answer:

Hilda can file her taxes by claiming standard deduction.

Step-by-step explanation:

Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.

Here in this scenario, Hilda can claim standard deductions.

Simplify 3^5/3^2.
I do have a basic understanding but I need help on this.

Answers

The answer is:  " 27 " .
__________________________________________

3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
__________________________________________
-Edit -- Note the following property of exponents :  "quotient rule" of exponents:
_____________________________________________
Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero"; 
____________________________________________
  If a ≥ b ,  then:

   xᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
____________________________________________
If a < b , then:

xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
____________________________________________ 

What is the period of y = 3cot(4x - 3pi)

Answers

Answer:

.25

Step-by-step explanation:

PLATO

The answer is y=25.

What's the period formula?

Every whole oscillation, known as the length, is steady. The method for the duration T of a pendulum is T = 2π square root of√L/g, where L is the period of the pendulum and g is the acceleration because of gravity.

What are period and frequency?

Frequency refers to how often something occurs. period refers back to the time it takes something to take place. Frequency is a rate amount. The period is a time amount. Frequency is the cycles/second.

Learn more about the Period  here: https://brainly.com/question/558692

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7533/10000 in simplest form

Answers

7533/10000 is already the simplest form possible

hope this helps
That is the simplest form.

Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what was the total amount contributed to the 401(k) at the end of the year?

Answers

amount she contributed
105×12 months = 1260

Her employers contributions per month
0.17×105=17.85

Amount contributed for the year
17.85×12=214.2

The total amount contributed to the 401(k) at the end of the year is
1,260+214.2=1,474.2

Hope it helps!

2. Dan poured 5 cups of water into a rectangular container measuring 8 inches by 6 inches by 7 centimeters.

[1 cup = 14.44 cubic inches; 1 inch = 2.54 cm]

Part A: What is the maximum volume of water that the rectangular container can hold?  Show your work. (3 points)

Part B: How many cubic inches of water was poured into the container? (3 points)


Answers

A. the volume of the container is 8*2.54*6*2.54*7=2167.74 cm^3=2.17dm^3 (all the measures were converted from inch to cm) in 2.17dm^3 you can pour 2.17l of water or 8*6*7/2.54=132.28 cubic inches B. it was poured 14.44*5=72;2 cubic inches into the container C to see the heigth you must divide this volume by the area of the container which is 8*6=48 heigth=72.2/48=1.5 inch=3.82 cm

Tucker drove at a speed of 45 miles per hour. This means that Tucker traveled _______ feet per second.

Answers

66 Feet Per second.
Hope this helps :D

Answer:

the answer is 66 feet per second.



what's the equation of the line parallel to the equation 2x+6y=-4 and that passes through the point (3, -3) .

Answers

y+3=(-1/3)(x-3)

y+3=(-1/3)x+1

y=(-1/3)x-2

jeffs dog weighs 76 pounds. what is the doofs weight rounded to the nearest tens pounds?

Answers

I think the answer is 80 pounds            

What is the quotient of (7^-1/7^-2)?

Answers

(7^-1/7^-2) = 7^(-1 + 2) = 7^1 = 7

hope it helps

Answer:

7^1 = 7

Step-by-step explanation:

we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]

The exponents are in division

When the base of exponents are same and  exponents are in division then we subtract the exponents

We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]

anyone good at trigonometry please help

Answers

to find the vertical height

 multiply the tangent of the angle by the horizontal distance

 so tan(12) x 5 = 1.0628

 rounded to nearest hundredth = 1.06 miles


Use the distributive property to simplify the expression. 8(3x + 4)

Answers

Answer:

24x + 32

Step-by-step explanation:


Answer:

24x+32

Step-by-step explanation:

trust

Prove the diagonals of the square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0) are perpendicular bisectors of each other.

Step 1: calculate the slope of the diagonals.

The slope of diagonal PS is ____

The slope of diagonal QR is ____

Step 2: calculate the midpoint of the diagonals

The midpoint of PS is ___

Midpoint of QR is ___

Answers

The diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.

Given information:

The square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0).

It is required to prove that the diagonals of the given square are perpendicular bisectors.

First, calculate the slope of the diagonals.

The slope of diagonal PS will be,

[tex]m = \dfrac{0-4}{4-0}\\m = -1[/tex]

So, the slope of diagonal PS is -1.

The slope of diagonal QR will be,

[tex]m' = \dfrac{0-4}{0-4}\\m' = 1[/tex]

So, the slope of diagonal QR is 1.

From the slope of the diagonals, the diagonals are perpendicular because the product of slope is -1.

Now, it is required to find the mid-point of the diagonals.

The midpoint of PS will be,

[tex](x,y)=(\dfrac{0+4}{2},\dfrac{4+0}{2})=(2,2)[/tex]

Midpoint of QR will be,

[tex](x,y)=(\dfrac{4+0}{2},\dfrac{4+0}{2})=(2,2)[/tex]

So, the midpoint of both the diagonals is also same.

Therefore, it can be said that the diagonals are perpendicular because the product of their slope is -1, and their midpoint is same (2,2). Hence, it is proved that the diagonals of the given square are perpendicular bisectors of each other.

For more details, refer to the link:

https://brainly.com/question/3417399

Answer:

-1, 1, (2,2), (2,2), and perpendicular and share the same midpoint

Step-by-step explanation:

A stuntwoman jumps from a building 73ft high and lands on an air bag that is 9ft tall. Her height above ground h in feet can be modeled by h (t) = 73 – 16 t^2, where t is the time in seconds.
a. How many seconds will the stuntwoman fall before touching the air bag? (Hint: Find the time t when the stuntwoman’s height above ground is 9 ft.)

Answers

Take the equation   h (t) = 73 – 16 t^2 and plugin 9 for h(t) and then solve for t like the following:

9 = 73 - 16 t^2
9 - 73 = 73-73 - 16t^2
-64 = -16t^2
-64 / -16 = -16t^2 / -16
4 = t^2
Now square both sides of 4 = t^2
[tex]\sqrt{4} = \sqrt{t^2}[/tex]
2 = t
t = 2
Answer = 2 seconds 

The mesaure of an angles supplement is 28 more than 3 times the measure of the angle. find the measure o the angle and its suplment

Answers

angle 1 = 38°
angle 2 = 142°

is this right? putting that into scientific notation

Answers

4.6 x 10 ^8 = 460,000,000


 you are correct

A sum of money is divided in ratio 3:5:9 . Calculate the smallest share given that the largest share is $558

Answers

first work out the 'multiplier'

3 + 5 + 9 = 17 so Multiplier = 1/17

$558 is the largest share  and that equals  9 * 1/17  of x  where x is the total amount of money

9x / 17 = 558

x = (558 * 17) / 9  =   $1054

So the smallest share  = 3 /17  *  1054 =  $186  Answer

How many times does 15000 go in to 3000000?

Answers

Answer It goes 200 times

To determine how many times 15000 goes into 3000000, divide 3000000 by 15000. The answer is 200.

To find out how many times 15000 goes into 3000000, we need to perform a simple division.

We divide 3000000 by 15000:

3000000 ÷ 15000 = 200

Thus, 15000 goes into 3000000- 200 times.

Virginia beach is about 20 miles wide and 28 miles long. if one inch of rain falls there during a daily rain shower, how many cubic feet of rain fell? (convert all units to feet first)

Answers

In this question, you are given the width( 20 miles), the length(28 miles) and the height( 1 inch). You are asked to count the rain water volume which was going with formula length x width x height. But the unit asked is ft, so you need to convert them all. The calculation would be:

Water volume= length x width x height
Water volume= 20 miles x 5280ft/miles x 28 miles x 5280ft/miles x 1inch x 1ft/12inch
Water volume = 1300992000 cubic ft.
As we know 1 miles = 5280 feet.
Firstly we will convert everything into feet.

So Length = 28 miles =  28 * 5280 feet = 147,840 feet

Width = 20 miles = 20 * 5280 feet = 105,600 feet.

Depth = 1 inch=  1 * 1/12 feet = 1/12 feet
(because 1 inch = 1/12 feet)

So Volume = Length * Width * Depth
                   = 147840 * 105600 * 1/12 = 1300,992,000 cubic feet.

So we can say 1300,992,000 cubic feet rain fell.

complete the next three terms in the pattern below

Answers

look for an addition/subtraction or multiplication/division patterns between numbers in the sequence.

1, 4, 9, 16, ...
if you look at what you add to get to the next number.

+3, +5, +7, ...
the pattern is adding consecutive odd numbers

16+9 = 25
25+11 = 36
36+13 = 49

1, 4, 9, 16, 25, 36, 49, ...

What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?

Answers

Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

describe a way in which the diagram above illustrates the unique line postulate.

Answers

B. There is exactly one line, m, through points B and D
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