Answer:
$38
Step-by-step explanation:
I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.
You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.
A percentage is a number or ratio that represents a fraction of 100.
If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
Example:
50% = 50/100 = 1/2
20% = 20/100 = 1/5
25% = 25/100 = 1/4
10% = 10/100 = 1/10
5% = 5/100 = 1/20
We have,
Cost of an item including tax = $41.04
Sales tax = 8%
8% = 8/100
The cost of the item without the sales tax:
= 41.04 - (8% of 41.04)
= 41.04 - (8/100 x 41.04)
= 41.04 - 3.2832
= 37.76
Thus,
The cost of the item before the tax is $37.76.
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Determine the range of the function graphed above.
OA. (-4, 0]
OB. [0, 4]
Oc. (-00, 4]
OD. [4, 00)
Answer:
Step-by-step explanation:
the range are the y values so must be [4,-∞) because if you look at the y-axis the highest value is 4 and the lowest goes to -∞
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I- I'm speechless
Do you even have a question-
Find the volume of the cylinder please
Answer:
105.m3
Step-by-step explanation:
Two times a number is 16 more than 10. What is the number?
Answer:
3
Step-by-step explanation:
2n+10=16
2n=6
n=3
classify triangles by its sides and angles geometry
Answer:
1. isosceles and acute
2. Scalene and acute
3. Equilateral and equiangular
4. Right (and isosceles ?)
(not sure ab isosceles for the last one but everything else is fine)
:)
Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?
I’m stuck on all of these
:( any help would be very appreciated
Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
Need help asap
How many solutions does 5 - 2x = 3 + x -4 - 3 have
A. No solution
B. two
C. one
D.infinite
Rewrite 14/32 in simplest form.
Answer:
7/16
Step-by-step explanation:
Answer:
14/32 = 7/16
Step-by-step explanation:
You divide each number by two
How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992
I’d ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line segment E’F’
Answer:
Line Segment EF passes through the center of the dilatation
Step-by-step explanation:
I just know...
Option (4) will be the correct option.
Given in the question,
ABCD is dilated by a scale factor of 2 about point E.A'B'C'D' is the dilated figure.Option (1). E'F' is perpendicular to EF.
Since, center of dilation of ABCD is at E, E' will coincide point E.
Therefore, EF and E'F' can't be perpendicular.
Option (2). E'F' is parallel to EF.
Since, center of dilation of ABCD is at E, point E' will coincide point E.
Therefore, E'F' can't be parallel.
Option (3). E'F' intersects with point B'.
Since, center of dilation of ABCD is at E, EF will lie on E'F'.
Therefore, E'F' cant intersect point B'.
Option (4). E'F' passes through center of dilation.
Since, center of dilation of ABCD is at E, therefore, E'F' will pass through the center of dilation E.
Therefore, Option (4) is the correct option.
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What is the distance between -34 and 16
Answer:
1) 50
2) -18
Step-by-step explanation:
2) what I did was subtract -34 from -16
The distance between -34 and 16 as requested is; 50
The distance between two points, x and y on the number line is the absolute value of their difference.
Distance = | x -y |
In this scenario; the distance between -34 and 16 is therefore;
Distance = | -34 - 16|
Distance = | -50 |
In essence, Distance = 50.
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Assume that math SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. If you scored 560, what percentage of those taking the test scored below you?
Answer:
89.2% scored below you
Step-by-step explanation:
500/560 = 0.892...
0.892 x100= 89.2%
2/5x+1/4x=26 what is x
Answer:
x = 40
Step-by-step explanation:
2/5x + 1/4x = 26
~Find common denominators
8/20x + 5/20x = 26
~Combine like terms
13/20x = 26
~Multiply 20/13 to both sides
x = 40
Best of Luck!
What is the LCM of 12 and 13
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
Jessie is going to the county fair. The cost of admission is $5.00 and it is $2.00 for each ride. If Jessie has $19.00, Write an equation to determine how many rides Jessie can ride. Draw and use algebra tiles to solve.
By direct calculation, we will see that Jessie can go to 7 rides in the county fair.
So we know that the cost of admission is $5.00 and each ride costs $2.00.
So if you go to the county fair and go to x rides, the cost is:
c(x) = $2.00*x + $5.00
And you have $19, then by solving:
c(x) = $19
We can find the number of rides at which Jessie can go.
$19 = $2.00*x + $5.00
$19 - $5 = $2*x
$14 = $2*x
$14/$2 = x = 7
Jessie can go to 7 rides.
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999 to the nearest thousand
Answer: 1000
Step-by-step explanation:
Answer:
1000
Is the answer I think
In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations
In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
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Multiply the pairs of numbers and match them to their products.
Answer:
-1.2*-7=8.4 -2.5*-2=5 2.5*-2=-5 -1.2*7=-8.4
Step-by-step explanation:
P=x/n
Solve the equation for x
Answer:
x = PnStep-by-step explanation:
[tex]P = \frac{x}{n}[/tex]
Cross Multiply
[tex]P\times n = x\\\\Pn = x\\\\x =Pn[/tex]
Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.
(−2, −4), (2, 0)
Answer:
y = x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (2, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+4}{2+2}[/tex]Add: [tex]m=\frac{4}{4}[/tex]Divide: [tex]m=1[/tex]Step 3: Find y-intercept b
Substitute in m: y = x + bSubstitute in point: 0 = 2 + bIsolate b: -2 = bRewrite: b = -2Step 4: Write linear equation
Slope-Intercept Form: y = x - 2
And we have our final answer!
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
could somebody explain dividing fractions to me?
Answer:
so all you do is cross flip and multiply
Step-by-step explanation:
what that means is you flip the fraction on the right and then cross multiply the two fractions
I hope this helps
Answer:
ok so
lets say
1 2/4 divided by 1/3
okay so first you change the 1 2/4 into a improper fraction
1 2/4 = 6/4
okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4
so the question is now
18/12 divided by 4/12
then you divide the numerator by numerator and the denominator stays the same
heres another way:
you change the number to improper if not already
18/12 divided by 4/12
and then you switch the 4 and the 12 around so its now
18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is
18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator
sorry if this is confusing, im bad at explaining >_<
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
what is the function of this graph?
Answer:
-2 X3
Step-by-step explanation:
which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
Answer:
see below
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - 2 = 4(x- -1)
y - 2 = 4(x+1)
slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substituting the point in
2 = 4(-1)+b
2 = -4+b
6 =b
y = 4x+6
standard form
Ax +by = c where A is a positive integer and b and c are integers
y = 4x+6
Subtract 4x from each side
-4x+y = 6
Multiply by -1
4x -y = 6
2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
help meeeeee plsssss
