Store A
Store B
What is the cost of the repair and sales tax combined
at Store B?
Computer
Repair
$1,200
$1,350
$1,200
Sales Tax
6%
7%
$1,350
Gratuity
15%
15%
$1,444.50
$2295
Shipping
Free
2% of total
price
Answers
========================================================
There are two methods to get the answer.
The slightly longer method is to take 7% of the original price to get
7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50
The sales tax is $94.50
Add this onto the original price to get 1,350+94.50 = 1,444.50
----------------------------
A shortcut is to multiply the original price by 1.07
The multiplier 1.07 represents a 7% increase since
1 = 100%0.07 = 7%1.07 = 1 + 0.7 = 100% + 7%So we will have 1.07*1350 = 1,444.50
Answer:
$172.5
Step-by-step explanation:
Store A is defintley better because 6% of sales tax is $72 and $1200 + $71 = $1272 while store B: 7% of $1350 is $94.5 and $1350 + $94.5 = $1444.5. To find out how much you would save by using store A, you would simply subtract it = $1444.50 - $1272 = $172.5
Related Questions
Hi.
Please i need help with these questions :
Simplify
1.
[tex] \frac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } [/tex]
2.
[tex] \frac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } [/tex]
3.
[tex] \frac{ {x}^{2} + xy - 6 {y}^{2} }{ {x}^{2} - 3xy + 2 {y}^{2} } [/tex]
Answers
1)
[tex]\frac{d^2 - 9}{d^2 - 7d + 12} = \frac{(d - 3)(d + 3)}{(d - 3)(d - 4)} = \frac{d + 3}{d - 4}[/tex]
2)
[tex]\frac{m^2 + 2mn + n^2}{m^2 - n^2} = \frac{(m + n)(m + n)}{(m - n)(m + n)} = \frac{m + n}{m - n}[/tex]
3)
[tex]\frac{x^2 + xy - 6y^2}{x^2 - 3xy + 2y^2} = \frac{(x + 3y)(x - 2y)}{(x - y)(x - 2y)} = \frac{x + 3y}{x - y}[/tex]
1. [tex] \bf \dfrac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } [/tex]
[tex] \tt : \implies \dfrac{ {d}^{2} - (3)^{2} }{ {d}^{2} - 3d - 4d + 12 } [/tex]
By using identinty a² - b² = (a + b)(a - b) in numerator and splitting method in denominator :
[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{ {d}^{2} - 3d - 4d + 12 } [/tex]
[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{d(d - 3) - 4(d - 3)} [/tex]
[tex] \tt : \implies \dfrac{ (d+3)\cancel{(d-3)} }{\cancel{(d - 3)}(d - 4)} [/tex]
[tex] \tt : \implies \dfrac{d+3}{d - 4} [/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{d+3}{d - 4} }[/tex]
________________________________
2. [tex] \bf \dfrac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } [/tex]
By using identinty a² + 2ab + b² = (a + b)² in numerator and a² - n² = (a + b)(a - b) in denominator :
[tex] \tt : \implies \dfrac{(m+n)^{2}}{(m+n)(m-n)}[/tex]
[tex] \tt : \implies \dfrac{\cancel{(m+n)}(m+n)}{\cancel{(m+n)}(m-n)}[/tex]
[tex] \tt : \implies \dfrac{m+n}{m-n}[/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{m+n}{m-n}}[/tex]
________________________________
3. [tex] \bf \dfrac{{x}^{2} + xy - 6{y}^{2}}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]
By using splitting method in both numerator and denominator :
[tex] \tt : \implies \dfrac{{x}^{2} + 3xy - 2xy - 6{y}^{2}}{{x}^{2} - xy - 2xy + 2{y}^{2}}[/tex]
[tex] \tt : \implies \dfrac{x(x + 3y) - 2y(x + 3y)}{x(x - y) - 2y(x - y)}[/tex]
[tex] \tt : \implies \dfrac{\cancel{(x-2y)}(x + 3y)}{\cancel{(x-2y)}(x - y)}[/tex]
[tex] \tt : \implies \dfrac{x + 3y}{x - y}[/tex]
Hence, answer is [tex] \boxed{\bf \dfrac{x + 3y}{x - y}}[/tex]
Esmeralda and Genevieve are both planting square gardens. Esmeralda's garden is 25 square feet and
Genevieve's is 4 square yards. Convert their garden sizes to the same units (feet) to determine who's garden has a
larger area. (1 point)
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Genevieve's garden is 16 square feet and thus has a smaller area than Esmeralda's
O Genevieve's garden is 25 square feet, and thus has the exact same area as Esmeralda's
Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Answers
Answer:
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Step-by-step explanation:
Given:
Esmeralda's garden = 25 square feet
Genevieve's garden = 4 square yards
Convert Genevieve's units (yards) to feet
Yards to feet
1 yard = 3 feet
4 yards = 4 * 3 feet
4 yards = 12 feet
Genevieve's garden = 12 square feet
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Answer:
The answer is: Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Step-by-step explanation:
commom multiple of 3 and 7
Answers
Answer:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
Step-by-step explanation:
The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.
Ill give brainlist if right i neeeed helpppp
Answers
The answer is option 2. 9 units left and 7 units down.
Answer:
B. 9 units left and 7 units down.
Step-by-step explanation:
If you're moving the top and left side of the box. Then the left side moves left 9 units and the top moves down 7.
Write an algebraic expression for the word phrase.
10 times the product of g and h.
a. 10 (g+h)
b. 10 (g-h)
c. 10 (g/h)
d. 10gh
Answers
The answer is D) 10gh
Answer: I think the correct answer would be d
Step-by-step explanation:
Which equation has exactly one solution in common with the equation y=6x-2?
A. 18x - 3y = 6
B. 1/2y = 3x - 2
C. 2y = 4x - 12
D. 18x - 12 = 3y
Answers
Answer:
A. 18x - 3y = 6
Step-by-step explanation:
By taking 3 common from the terms 18x and 3y we get,
3 (6x-3y) = 6
or, 6x - y = 6/3
or, 6x - y = 2
And,
The equation becomes,
y = 6x - 2
The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
By taking 3 commons from the terms 18x and 3y we get,
3 (6x-3y) = 6
6x - y = 6/3
6x - y = 2
The equation becomes,
y = 6x - 2
Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.
To know more about equations follow
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9. A company is looking to hire a painter, One painter states that their fee can be determined by
using the expression 50x + 100 where x is the number of hours it takes to paint. A second painter
states that their fees can be determined by using the expression 40X + 125. The company wants
to know when the fee would be the same for each painter, What number of hours makes the
equation 50% + 100 = 40% + 150 true?
(10 Points)
The
Answers
A number is represented by x. How would we represent 3 more than the number. *
Answers
Answer:
Pretty sure we would just say 3+x.
Step-by-step explanation:
you are adding 3 to x, the number
Anyone mind giving me a helping hand hope you have a good day!!!
Answers
Answer:
The last option
Step-by-step explanation:
The last option
Answer:
C
Step-by-step explanation:
Are the triangles PQR and RST similar why or why not?
Answers
Answer: The triangles are similar
======================================================
Explanation:
The square markers show that
angle RPQ = angle RST = 90 degrees
So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.
Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.
Answer:
Triangle PQR and RST are both right triangles but they do not share the same side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.
Step-by-step explanation:
Write an equation that is parallel to y = 9x and goes through the point (1,5).
Answers
Answer:
y=9x-4
OR
y-5=9(x-1)
(both are correct and equal)
Step-by-step explanation:
Parallel means slope is the same, so the slope of the equation should be 9.
Using point slope form:
[tex]y-5=9(x-1)[/tex]
Which would be:
[tex]y=9x-4[/tex]
in slope intercept form.
Hey there!
Answer:
y = 9x - 4
Step-by-step explanation:
The other guy already gave the explanation soo... but I got the same answer
Good luck!! :D
Solve for AB. Round your answer to the nearest tenth if necessary.
Answers
Answer:
See Below
Step-by-step explanation:
You want to find AB.
They give the equation for AB, BC, and AC
AC - BC = AB
substitute the equations
(30) - (8x + 3) = 6x + 8
30 - 8x - 3 = 6x + 8
27 - 8x = 6x + 8
+8x +8x
27 = 14x + 8
-8 -8
19 = 14x
19/14 = 14x/14
1.3571428 = x
0.1 = tenth
1.4 = x
Substitute x into the equation for AB
6(1.4) + 8
16.4
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~First~you~need~to~make~an~equation:[/tex]
[tex]\bold{30-8x+3=6x+8}[/tex][tex]\bold{You~do~this~by~using~all~the~information~available~and~set~it~up~to~solve~for~AB.}[/tex][tex]2.)~Add~30~and~3~to~get~33:[/tex]
[tex]\bold{33-8x=6x+8}[/tex][tex]3.)~Subtract~6x~from~both~sides:[/tex]
[tex]\bold{33x-8x-6x=8}[/tex][tex]\bold{Causes~signs~to~change~and~the~equation~gets~rearranged.}[/tex][tex]4.)~Combine -8x~and~-6x:[/tex]
[tex]\bold{-8x-(-6x)=-14x}[/tex][tex]\bold{33-14x=8}[/tex][tex]5.)~Subtract~33~from~both~sides:[/tex]
[tex]\bold{33-33=Cancels~out}[/tex][tex]\bold{8-33=-25}[/tex][tex]5.)~Divide~both~sides~by~-14:[/tex]
[tex]\bold{-14x}[/tex] ÷ [tex]\bold{-14=x}[/tex][tex]\bold{-25}[/tex] ÷ [tex]\bold{-14=-1.78571429}[/tex][tex]6.)~Simplify:[/tex]
[tex]\bold{1.78571429}~(Take~Away~the~Negative!)[/tex][tex]\bold{1.8}~(Round~to~the~Nearest~Tenth!)[/tex][tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]
______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{AB=1.8}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Find the value of x.
Answers
75
58+ 47=105 and 180-105=75
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
Answers
Seven less than twice a number is -1
solve
Answers
Answer:
2x - 7 = -1
x = 3
Step-by-step explanation:
Hope this Helps!
Plz Mark Brainliest!
Answer:
2x - 7 = -1 x = 3
Step-by-step explanation:
2x - 7 = -1
+7 +7
2x = 6
/2 /2
-------------
x = 3
PLEASE HELP ASAP!!!!!
Answers
Answer:
C. Have a good day. :)
Step-by-step explanation:
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
Answers
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
[tex]6y + 13y - 10 = 180[/tex]
[tex] 19y - 10 = 180[/tex]
[tex]19y = 180 + 10[/tex]
[tex]19y = 190[/tex]
[tex]y = \frac{190}{19} [/tex]
[tex]y = 10[/tex]
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
[tex]60 + 9x + 12 = 180[/tex]
[tex]9x + 72 = 180[/tex]
[tex]9x = 180 - 72[/tex]
[tex]9x = 108[/tex]
[tex]x = \frac{108}{9} [/tex]
[tex]x = 12[/tex]
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
18/x -2 = 4/3 please help
Answers
Answer:
Step-by-step explanations:
What are the coordinates of (7,-5) and ( 3,3)
Answers
Answer:
Hope this help..
Step-by-step explanation:
Hope this helpp..
Six more than the product of a number and -2 is 4.
Answers
Hoped I help!
what is 11,500,000 written in scientific notation?
Answers
Answer:
1.15x10 to the power of 7
Answer:
1.15×10⁷
Step-by-step explanation:
that's the answer
What is times plus 4
Answers
Answer:
you forgot the number before times
Step-by-step explanation:
Perform the indicated operation.
-3(-8)(-2)
Answers
Answer:
-48
Step-by-step explanation:
Multiply all numbers to get -48
is "among us" better on pc or iphone? also how much does it cost?
Answers
Answer: anything honestly
Step-by-step explanation:I don't think it costs anything you only have to pay if you want specific accessories
Answer:
It is better on an iPhone and the game is free. Also, it is really personal preference!
Step-by-step explanation:
The population of a town y years after 1970 is 32,070 + 1,524y.
Which statement is correct?
A.
The population increased by 1,524 people each year after 1970.
B.
The population increased by 32,070 people each year after 1970.
C.
The population decreased by 32,070 people each year after 1970.
D.
The population decreased by 1,524 people each year after 1970.
Answers
Answer:
A
Step-by-step explanation:
1524y: this is your slope.
Notice it is positive. Thismust mean that your population can only increase. Therefore, C and D are wrong. Now what is increasing? 1524 each year.
5
Teresa reads an average of 1.5 books each week during the year.
Write an equation that represents the amount of books that she read (y) per week (x). *
(5 Points)
A.x = 1.5y
B.y = x
C. y = 52x
D. 52 = 1.52
Answers
Answer:
c
Step-by-step explanation:
lemme eat u ;)
not like that weirdo
love uuuu
Answers
Answer:
i- um chile anywaysssss
Choose the expression that is equal to 28.3.
33 + 27.2 – 6.8 + 24 – 3.1
33 + 27.2 – (6.8 + 24 – 3.1)
[33 + (27.2 – 6.8)] + 24 – 3.1
33 + 27.2 – (6.8 + 24) – 3.1
Answers
Which of the following expressions is equivalent to x − 9 − 3x + 2y + 3 − 2?
A.
4x + 2y + 14
B.
3x + 2y + 1
C.
x − 9
D.
−2x + 2y − 8
Answers
Answer:
D.
−2x + 2y − 8
Step-by-step explanation:
x − 9 − 3x + 2y + 3 − 2 ( collect like terms)
-2x + 2y - 8
x - 3x = -2x
2y = 2y
-9 + 3 - 2 = -8
1. The sum of 5 and x is 20. What is x?
Answers
If the sum of 5 and x is 20, then the value of x will be 15.
It is given that the sum of 5 and x is 20.
Mathematically, it can be written as:
5 + x = 20
We have to find the value of x.
In order to find the value of x we need to separate the variable and constant.
For this, subtract 5 from both the sides:
5+x-5 = 20-5
5-5 +x = 20-5
Then, solve the operation of subtraction on both the sides of above equation.
0+x = 15 -------(A)
Since, when we add 0 to any quantity, the result will be this quantity itself.
So, 0+x = x -------(B)
From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.
Equation right sides of (A) and (B). We have:
x = 15
Hence, the value of x is 15.
Learn more about sum of variable and constants here:
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