Given:
A video game customers to rent games for $4.75 each.
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each.
To find:
The number of video games a customer would have to rent in a year in order for the two options to be equal.
Solution:
Let x be the number of video games.
A video game customers to rent games for $4.75 each. So, the total cost is
[tex]C_1(x)=4.75x[/tex]
Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. So, the total cost is
[tex]C_2(x)=54+2.50x[/tex]
Now, [tex]C_1(x)=C_2(x)[/tex], if the rent in a year for the two options to be equal.
[tex]4.75x=54+2.50x[/tex]
[tex]4.75x-2.50x=54[/tex]
[tex]2.25x=54[/tex]
Divide both sides by 2.25.
[tex]x=\dfrac{54}{2.25}[/tex]
[tex]x=24[/tex]
Therefore, the rent in two options are equal for 24 video games.
Solve for y: 1 + 7y = 5x -2
Answer:
5x/7 - 3/7
Step-by-step explanation:
Evaluate the function?
Answer:
187
Step-by-step explanation:
fill in (-9) where it says x, so 2(-9)^2 -5(-9) -20, which gives 187
What is the missing value 2/6=x/15
Answer:
x= 5
Step-by-step explanation:
Your teacher should have explained it but give me points please
Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour. What is Dave's rate of completion expressed in walls per hour?
A. 1 /3
B. 3 /4
C. 1 1/6
D. 1 1/3
Dave's rate of completion is 4/3 walls per hour and this can be determined by using the concept of unit rate.
Given :
Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour.The following steps can be used in order to determine Dave's rate of completion:
Step 1 - The concept of unit rate can be used in order to determine Dave's rate of completion.
Step 2 - According to the given data, Dave completes on average 2/3 of a wall in 1/2 of an hour.
Step 3 - Now, let Dave's rate of completion be 'x'.
Step 4 - So, the value of 'x' can be calculated as:
[tex]x = \dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}[/tex]
Step 5 - Simplify the above expression.
[tex]x = \dfrac{2}{3}\times\dfrac{2}{1}[/tex]
[tex]\rm x = \dfrac{4}{3}\;walls \;per \;hour[/tex]
Therefore, Dave's rate of completion is 4/3 walls per hour.
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The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline Write an equation that represents this path
Please help!
Answer:
y = 1/2x + 4 1/2
Step-by-step explanation:
pleaseeeeee helppppp, ill give you brainley i promise
haaaaallllllppppppp my brains fried atm
Element X is a radioactive isotope such that its mass decreases by 81% every year. If an experiment starts out with 490 grams of Element X, write a function to represent the mass of the sample after tt years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.
Answer:
We can say we start with 490 grams and after 1 year we have (490 * .81 grams) or 396.9 grams.
We can solve for half-life by this equation:
Half life = (time * log 2) / log (beginning amount / ending amount)
Half-life = (1 year * 0.30102999566) / log (490 / 396.9)
Half life = (1 year * 0.30102999566) / log (1.2345679012 )
Half life = (0.30102999566) / 0.091514981109
Half-Life = 3.2894067399 years
Well, that's a start.
Step-by-step explanation:
The half life of the given radioactive isotope will be 3.2894067399 years.
What is Half life period?
The amount of time it takes to disintegrate by half an initial amount. For a given reaction, a reactant's half-life t-1/2 is the time it takes for its concentration to reach a value which is the arithmetic mean of its initial and final value.
Here, Element X starts with 490 grams
After 1 year we have (490 X 0.81 grams) or 396.9 grams
Now, We can solve for half-life by this equation:
Half life = (time X log 2) / log (beginning amount / ending amount)
Half-life = (1 year X 0.30102999566) / log (490 / 396.9)
Half life = (1 year X 0.30102999566) / log (1.2345679012 )
Half life = (0.30102999566) / 0.091514981109
Half-Life = 3.2894067399 years
Thus, the half life of the given radioactive isotope will be 3.2894067399 years.
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Deanna and Lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0.75 per game. Lulu starts with $13, and her machine costs $0.50 per game. After how many games will the two friends have the same amount of money remaining? Write and solve an equation. Let g represent the number of games. Show your work.
i really need an answer!
Answer:
8
Step-by-step explanation:
15 - .75g = 13 - .50g
2 = .25g
8 = g
If Deanna starts with $15, and the machine she is playing costs $0.75 per game. Lulu starts with $13, and her machine costs $0.50 per game.Then after 8 games will the two friends have the same amount of money remaining
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Let g represents game
Deanna starts with $15, and the machine she is playing costs $0.75 per game
So the equation will be
15 -0.75g
Lulu starts with $13, and her machine costs $0.50 per game.
The equation for Lulu will be
13 - 0.50g
Now let us equations of both Deanna and Lulu
15 -0.75g =13 - 0.50g
15-13=0.75g-0.50g
2 = 0.25g
Divide both sides by 0.25
8 = g
Hence after 8 games the two friends have the same amount of money remaining
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I picked the blue one, was I correct?
9514 1404 393
Answer:
5
Step-by-step explanation:
The degree of the polynomial is the degree of the highest-degree term. The degrees of the terms are ...
4, 5, 1
The highest degree is 5, so the degree of the polynomial is 5.
The cost of two books is ₹126.If the cost of one book is twice the other, the find the cost of books.
126x52 what is it I don’t know
Answer:
6552
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
6,552
Step-by-step explanation:
Solve for x using the vertical angles below:
(2 + 3x)
62
Answer:
20
Step-by-step explanation:
Solving for x using the vertical angles we get , the value of x is: x = 20.
Here, we have,
from the given figure we get,
angle (2 + 3x) and angle62 are opposite angles.
we know that,
When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.
so, we have,
angle (2 + 3x) = angle62
(2 + 3x) = 62
or, 3x = 60
or, x = 20
Hence, Solving for x using the vertical angles we get , the value of x is: x = 20.
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please factor x^3+2x^2-x-2=(x+ )(x+ )(x+ )
Answer:
(x+2) (x+1) (x-1)
Step-by-step explanation:
You would add and subtract the second term to the expression
Factor x3+2x2−x−2
x3+2x2−x−2
=(x+2)(x+1)(x−1)
7.) A store had 2 unstuffed turkeys for
$22.78 or 6 stuffed turkeys for $67.80. What
is the price of the lower unit rate
Answer:
11.30 for unstuffed turkey is the lowest unit rate
Step-by-step explanation:
2 unstuffed turkey for 22.78..............22.78/2=11.39 per turkey unstuffed
6 stuffed turkey for 67.80................67.80/6=11.30
28 members;50% increase
Answer:
I think the answer is 42.
Step-by-step explanation:
If there is a 50% increase in members then the number of members would go up 14. Adding 14 to 28, you come away with 42.
Sorry if it's wrong.
can someone help me with 5 х 10 squared
Answer:
500
Step-by-step explanation:
2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)
Answer:
[tex]y = -2x + 10[/tex]
Step-by-step explanation:
Slope: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Slope-Intercept Form: [tex]y=mx+b[/tex]
[tex]m=\frac{8-0}{1-5}[/tex]
[tex]m = -2[/tex]
[tex]y = -2x + b[/tex]
[tex]0 = -2 (5)+b[/tex]
[tex]0=(-10)+b[/tex]
[tex]b = 10[/tex]
[tex]y = -2x + 10[/tex]
PLEASE HELP DUE IN 30 MINUTES
Answer:
y= 1/2x-2
Step-by-step explanation:
45+92+40+43+102x4/5=
can someone plz help me with this question: select the correct answer. what is √125 in simplest form?
Answer: First Option (5√5)
Answer:
First, you see if there are any perfect squares that are a factor of 125. If you do find some, find what is seemingly the biggest. In this case, it is 25, I think. So you can then out it as root(25×5), I think. As 25 is a perfect square, you can square and then put the number you get on the outside. So since 5×5=25, it becomes 5(root)5, which essentially means 5×(root)5, I think.
Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.
Draw and label the dimensions of a scale drawing of Mai’s kitchen, using a scale of 1 to 40. HEEEEEEEELPPPP
Answer:
Length of scale = 15 cm
Width of scale = 5 cm
Step-by-step explanation:
Dimensions of the kitchen of Mai are given as:
Length of kitchen = 6 m
Width of kitchen = 2 m
Scale to be used = 1 to 40
To find:
The drawing with labeling and dimensions of the scale drawing.
Solution:
First of all, let us understand about the concept of scaling.
Scaling is a method to represent big structures on paper.
For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.
Here, the scale factor used is 1 to 40.
i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.
40 units of kitchen = 1 unit of scale
1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale
6 m of kitchen = [tex]\frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm[/tex]
Length of scale = 15 cm
40 units of kitchen = 1 unit of scale
1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale
2 m of kitchen = [tex]\frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm[/tex]
Width of scale = 5 cm
Please refer to the attached image as well for representation of given scale.
Carter stated that 5(x + 9) - 3x is the same as 2x + 45. Lori disagreed with him and said that an equivalent expression is 2x + 9. Who was right?
Answer:
Carter;
5 ( x + 9 ) - 3x = 2x + 45
Step-by-step explanation:
Simplify the equation;
5 ( x + 9 ) - 3x
Distribute the 5, remember, you have to distribute 5 over both terms.
5x + 45 - 3x
Combine like terms;
2x + 45
-4(x + 3) <-2 – 2x?
What’s the answer on the number line for this equation
Answer:
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
Step-by-step explanation:
Given the expression
[tex]-4\left(x\:+\:3\right)\:<\:-2\:-\:2x[/tex]
Expanding
[tex]-4x-12<-2-2x[/tex]
Add 12 to both sides
[tex]-4x-12+12<-2-2x+12[/tex]
[tex]-4x<-2x+10[/tex]
Add 2x to both sides
[tex]-4x+2x<-2x+10+2x[/tex]
[tex]-2x<10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]
[tex]2x>-10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]
[tex]x>-5[/tex]
The solution graph is also attached below. On the solution graph, the value will be:
[tex]x>-5[/tex]15x18x47x9 I don't understand multiplication pls help!
Answer:
the answer is 114,210..................
Simplify 3+(5+p) I need help nowwe
Answer:
8+p
Step-by-step explanation:
add 3 plues 5 and you got ur answer
Kareem has a collect of dimes and quarters. He can tell that he has more quarters than dimes, and he knows that he has at most $2.
Write the system of inequalities to represent this.
Answer:
D<Q≤2 Or D<Q Q+D≤2
Step-by-step explanation:
I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars
please help. I will mark you brainliest
Answer:
I think AB would be 67
BC would be 20 because its the whole line s 10+10 is 20
I am really sorry I don't know 1 and 4 I hope this helps tho
Also you dont have to give me brainliest
Step-by-step explanation:
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor
tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
1. How much money will they collect for selling x floor tickets?
2. How much money will they collect for selling y balcony tickets?
Answer:
We know that x is the number of floor tickets they sell, and each one costs $15, then the amount of money they will get by those sells is x times $15, this is:
x*$15.
And y is the number of balcony tickets they sold, each one of these costs $12, then the total amount of money made in those tickets is:
y*$12.
Then the total amount of money that the band made is:
x*$15 + y*$12
And they want to make, at least, $3,000, then we will have the inequality:
x*$15 + y*$12 ≥ $3000
That can´t really be solved, because we have two variables and only one inequality, but this represents the given situation.
Help question in the picture
Answer:
thank you for the points :D
Step-by-step explanation: