How do I solve radical equations?
The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game
rented.
The Game Bank charges an annual fee of $11 plus $2.50 per game.
For how many game rentals will the cost be the same at both stores?
Answer:
2 games
Step-by-step explanation:
Given data
The Fun Guys game
charges annual fee of $5 plus $5.50 per game
let the number of games be x
and the total charges be y
The expression for the total is
y=5+5.5x---------------1
The Game Bank
charges an annual fee of $11 plus $2.50 per game.
y=11+2.5x---------------2
Equate 1 and 2 above
5+5.5x=11+2.5x
collect like terms
5.5x-2.5x= 11-5
3x= 6
divide both sides by 3
x= 6/3
x= 2
It will take 2 games
A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-controlled car at the hobby store?
Answer:
The retail price to purchase a remote-controlled car at the hobby store is $42
Step-by-step explanation:
Original Price of remote controlled car = $35
Mark up = 20%
We need to find retail price.
First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.
Finding 20% of 35
[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]
So, mark up price is $7
Now, the retail price will be:
Retail price = Original Price + Mark up
Retail price = 35 + 7
Retail price = 42
So, the retail price to purchase a remote-controlled car at the hobby store is $42
Fay has a lemonade stand.
She spends £42 on ingredients.
She sells each glass of lemonade for £1.50.
If she sells 30 glasses of lemonade, what is her total profit?
Answer:
her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3
Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?
A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
C.
reflection across the line y = x
D.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
E.
reflection across the x-axis followed by a reflection across the y-axis
Answer:
a
Step-by-step explanation:
5t^-2 • 2t^-5
can someone write the steps? i can’t remember the formula so i’m stuck
Just multiply the numbers 5 and 2 to get 10. Then add the the exponent t and add the exponents together so you answer would be 10t^-7
Brainiest please?
What is the value of m?
Answer:
23
Step-by-step explanation:
400 - 8m = 216
move 8m to the other side
400 = 216 + 8m
subtract 216 from both sides
8m = 184
divide both sides by 8
m = 23
Answer:
23
Step-by-step explanation:
400 - 216 = 184
184/8 = 23
Check
400 - 8m = 216
400 - 8(23) =
400 - 184 =
216 = 216 :)
Give me 3 examples of a ratio
Answer:
2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing
Step-by-step explanation:
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
He reflected it over the y-axis
Step-by-step explanation:
If the x coordinate is made a negative, that means it was crossed over the line that determines the y coordinate
Hi. I need help with these questions (see image)
Please show workings.
Question : Find the derivative with respect to x of each of the following:
(see image)
Answer:
see explanation
Step-by-step explanation:
Note that [tex]log_{e}[/tex] x = lnx ( natural logarithm)
Using the standard derivatives
[tex]\frac{d}{dx}[/tex] (lnx ) = [tex]\frac{1}{x}[/tex] , [tex]\frac{d}{dx}[/tex] ([tex]log_{a}[/tex] x ) = [tex]\frac{1}{xlna}[/tex]
Using the chain rule
Given y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x))) × g'(x) ← chain rule
(c)
y = [tex]log_{10}[/tex] (x² - 2) then
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{(x^2-2)ln10}[/tex] × [tex]\frac{d}{dx}[/tex] (x² - 2)
= [tex]\frac{1}{(x^2-2)ln10}[/tex] × 2x
= [tex]\frac{2x}{(x^2-2)ln10}[/tex]
(d)
y = ln([tex]\frac{1}{x}[/tex] )
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{\frac{1}{x} }[/tex] × [tex]\frac{d}{dx}[/tex] ([tex]x^{-1}[/tex] )
= x × - [tex]x^{-2}[/tex]
= x × [tex]\frac{-1}{x^2}[/tex]
= - [tex]\frac{1}{x}[/tex]
2/3 = 16/x
What is X
Answer:
Step-by-step explanation:
x=24
Answer:
X = 24
Step-by-step explanation:
Learn what 2/3 equals
2/3 = 0.666
Divide 16 until it equals that number
16/24 = 0.666
What is the slope of the line shown below?
(1,7)
(3,5)
-10
-10
O A.
O B.
1
2
O c. 1
O D.-1
Given;
The graph of a line.
To find:
The slope of the line.
Solution:
From the given graph it is clear that the line passes through the points (1,7) and (3,5).
So, the slope of the given line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-7}{3-1}[/tex]
[tex]m=\dfrac{-2}{2}[/tex]
[tex]m=-1[/tex]
Slope of the line is -1.
Therefore, the correct option is D.
Please help !! Will mark brainliest answer
Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
[tex]\frac{3}{4}[/tex] × 16 = 12
x = 12
OR: Set up a proportion:
[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]
cross-multiply
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
Answer: Store B
Step-by-step explanation:
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A: 1,2,9
Set B: 0,4,6,5
Answer:
Yes it is showing a function
Step-by-step explanation:
what is the sum of -3x + 9x
Answer: I believe the answer is 6x.
Answer:
6x
Step-by-step explanation:
the -3x cancels out 3 from the 9x making it 6x :)
a) 4
If the perimeter of this figure is 62 what is the value of x?
A.) 4
B.) -4
C.) -7
D.) 7
Answer:
i think c
Step-by-step explanation:
I think the answer is 47.73 not sure tho
Devaughn's age is three times Sydney's age. The sum of their ages is 104 . What is Sydney's age?
Answer:
26
Step-by-step explanation:
u dont need it
How can I solve this problem using substitution, please show the work. (x,y)
y=x+8
x+y=2
Answer:
(-3,5)
Step-by-step explanation:
To solve using substitution, first isolate one variable in one of the given equations. Then, substitute the value you received from that equation for the matching variable in the second equation. Finally, substitute that value back into any of the equations to have both the x and y values.
1) The y in y = x + 8 is already isolated, so let's substitute that value for the y in x + y = 2. Substitute x + 8 for y in x + y = 2, then solve:
[tex]x + y = 2\\x + (x + 8) = 2 \\x + x + 8 = 2\\2x + 8 = 2 \\2x = -6\\x =-3\\[/tex]
Therefore, the x-value of the solution is -3.
2) Substitute the x value back into any of the one equations to find the value. Any choice is fine - in my work, I chose to substitute -3 for the x in y = x + 8:
[tex]y = x + 8 \\y = (-3) + 8\\y = -3 + 8\\y = 5[/tex]
Therefore, the y-value of the solution is 5.
3) Thus, the solution is (-3, 5).
What is the common ratio of the following geometric sequence? 6,9,27/2,81/4,...
a. r=-2
b. r=2
c. r=3/2
d. r=2/3
Answer:
C
Step-by-step explanation:
The common ratio (r) can be found as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] → C
The common ratio of the geometric sequence is c. r = 3/2.
To determine the common ratio of a geometric sequence, we need to find the ratio between consecutive terms.
In the given sequence: 6, 9, 27 / 2, 81 / 4, ...
To find the ratio between consecutive terms, we divide each term by its preceding term.
9 / 6 = 3 / 2
(27 / 2) / 9 = 3 / 2
(81 /4 ) / (27 / 2) = 3 / 2
We observe that the ratio between consecutive terms is always 3 / 2.
Therefore, the common ratio of the geometric sequence is c. r = 3/2.
To know more about common ratio click here :
https://brainly.com/question/15458915
#SPJ2
HELPPPPPPPPPPP omll i cant fail
Answer:
F(-2)=2
Step-by-step explanation:
F(x)=4x+10
F(-2)
F(-2)=4(-2)+10
-8 +10
F(-2)= 2
what is 18/75 as a percent
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
Peyton buys cookies and apples at the store.
She pays a total of $51.26.
She pays a total of $6.54 for the cookies.
She buys 8 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine
x
x, how much each bag of apples costs.
I need an answer please
Answer:
Hope this helps sorry I'm in class right now
Step-by-step explanation:
Can 4cm 6cm and 12cm make a triangle
72÷853 PLZ HELP ASP I need an answer fast
Answer:
0.084408 or 8.44%
Step-by-step explanation:
hope this helps :)
Answer: 0.0084
Step-by-step explanation:
<8
Who knows both of them ??? pleaseee
Step-by-step explanation:
question 13: false
question 14: 1
Three students, Hunter, Gavin, and Levi, line up one behind the other. How many
different ways can they stand in line?
Answer:
Hunter, Gavin Levi
Levi, Gavin, Hunter
Gavin, Hunter, Levi
Hunter Levi Gavin
Levi Hunter Gavin
Gavin Levi Hunter
6 different ways
The number of different ways this can be done is 6 ways
Permutation and combinationGive the following students Hunter, Gavin, and Levi, line up one behind the other. They can line up in any form as they wish.
In order to line them up as they wish, we will take the factorial of the total student. In general;
n! = n(n-1)!
Since there are 3 students, the different ways can they stand in line is;
3! = 3 * 3 * 1
3! = 6
Hence the number of different ways this can be done is 6 ways
Learn more on permutation here: https://brainly.com/question/12468032
Please help! Find the perimeter of the figure.
Which trig function would you use?
⠀⠀ ⠀ ⠀⠀ [tex]\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}[/tex] Sine