a pair of in line skates is on sale for $90 if this price represents a 25% discount, what is the original price
Answers
Let:
Op = Original price
Sp = Sale price
Express the discount percentage as a decimal:
25% = 25/100 = 0.25
the original price will be given by:
\(\begin{gathered} Sp=Op-0.25Op \\ where\colon \\ Sp=90 \\ solve_{\text{ }}for_{\text{ }}Op\colon \\ 90=Op(1-0.25) \\ so\colon \\ Op=\frac{90}{1-0.25} \\ Op=120 \end{gathered}\)$120
Related Questions
Help ASAP plsssssssssssssssssssssss
Answers
Answer:
2/6
Step-by-step explanation:
There are 2 out of 3 on one half shaded so it is 2/6
Find the coordinates of the figure after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis.
Answers
The final image is the same as Translate 5 units down, and then reflect over the y axis.
What is Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
Transformation is the movement of a point from its initial location to a new location.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Therefore the coordinates remains same as previous figure.
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In a normal distribution, which is greater, the mean or the median? Explain.
Answers
the mean and median are equal.
Tell whether each ordered pair is a solution of the equation: 2x - y = 4, ( 3, -2 )
Answers
The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, an equation 2x - y = 4 now if (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.
when x = 3,
2(3) - y = 4.
6 - y = 4.
- y = 4 - 6.
- y = - 2.
y = 2.
So, (3, - 2) is not a solution to an equation 2x - y = 4.
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You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as you. You collect 15 objects. Your friend collects 30 objects. How many rocks and how many fossils do you each collect?
Answers
Answer:
I got 9 rocks and 6 fossils and my friend got 27 rocks and 3 fossils
Step-by-step explanation:
Subtract 8 from h. Then, divide by 2.
what would this equation look like pls hurry and thanks
Answers
Answer:
h-8/8
Step-by-step explanation:
MARK MY ANSWER AS BRAINLIST
pls help worth b and c “find the slope of each line”
Answers
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses:17, 16, 4, 11, 13, 8,5Find the median and mean number of hours for these students.If necessary, round your answers to the nearest tenth.
Answers
Mean is given by:
\(\begin{gathered} \operatorname{mean}=\frac{\text{Sum hours}}{\text{total students }}=\frac{17+16+4+11+13+8+5}{7} \\ =\frac{74}{7}=10.57 \end{gathered}\)Round to the nearest tenth = 10.6
Median
We order the data from smallest to largest:
4, 5, 8, 11, 13, 16, 17
Then we locate the middle data and this is the median.
The middle data is 11.
Answer:
Mean = 10.6
Median = 11
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
Answers
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
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What is the pattern to the sequence -21,-51,-81,-111,-141?
Answers
The sequence is:
-21,-51,-81,-111,-141:
You need to find the difference between each term:
\(\begin{gathered} -51-(-21)=-30 \\ -81-(-51)=-30 \\ -111-(-81)=-30 \\ -141-(-111)=-30 \end{gathered}\)The difference is -30.
You use the next formula to get the pattern:
\(a_n=a_1+d(n-1)\)Where
an: pattern
a1: first term of the sequence
d: difference
\(\begin{gathered} a_n=-21+(-30)(n-1) \\ a_n=-21-30(n-1) \\ a_n=-21-30n+30 \\ a_n=-30n+9 \end{gathered}\)Then, the sequence follows the pattern:
\(a_n=-30n+9\)A cone has a height of 10 in and a radius of 4 in. What is the slant height of the cone ?
Answers
Answer: The slant height of the cone is 10.770329614269 inches.
Answer:
96in
Step-by-step explanation:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Find the quotient of 24 and 3.
Please help
Answers
Answer
8
Step-by-step explanation
we know that the term quotient means that we divided so we think backward if 24 is being divided by 3 what times 3 equals 24 the answer would be 8 because 3x8=24.
If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse
Answers
Write the equation of the line perpendicular to y=3/2x+5/2 that passes through the point (-3,7)
Answers
Answer:
y = -2/3x + 5
Step-by-step explanation:
lmk if you want an explanation
Of the registered voters in the city of Bella Vista, 45% cast votes on a proposed school budget. Of those who voted, 68% voted to pass the school budget. What percent of registered voters in Bella Vista voted to pass the school budget?
Algebra
Answers
30.6% of registered voters in Bella Vista voted to pass the school budget.
What is successive percentage change?When more than one successive changes are applied to a quantity the total percentage change is called successive percentage change.
Given,
Percentage of registered voters casting vote = 45%
Of those who voted, percentage of voters who voted to pass the school budget = 68%.
Let, total registered voters = x .
Number of registered voters casting vote = 45% of x
= 45x/100
Total number of registered voters in Bella Vista who voted to pass the school budget = 68% of number of registered voters casting vote
= (68/100) × (45x/100)
Percentage of registered voters in Bella Vista who voted to pass the school budget = {(68/100) × (45x/100)} / x
= 30.6%
Hence, 30.6% of registered voters in Bella Vista voted to pass the school budget.
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Someone help on this question ASAP
Answers
Answer:
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
Step-by-step explanation:
For a dilation at the origin, multiply each of the coordinates by the scale factor.
\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)
Determine if 0.292992999299992999992... is rational or irrational
and give a reason for your answer.
Answers
Answer:
Irrational
Step-by-step explanation:
Can't be put into a fraction.
99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
1.1
1.3
2.3
3.0
Answers
Answer: 1.1
Step-by-step explanation:
To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:
1 - 3 = -2 -> |-2| = 2
2 - 3 = -1 -> |-1| = 1
2 - 3 = -1 -> |-1| = 1
3 - 3 = 0
4 - 3 = 1
4 - 3 = 1
5 - 3 = 2
-
\(\frac{2+1+1+0+1+1+2}{7}\)
\(\frac{8}{7}\)
1.14
The mean absolute deviation is about 1.1
Aidan buys a bag of cookies that contains 5 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies.
What is the probability that Aidan reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Write your answer as a percent. Round to the nearest tenth of a percent.
Answers
Answer- 62%
Step-by-step explanation
5+5+8+8= 26 There are 8 peanut butter cookies,so 8/26 is the chance we will get a peanut butter cookie. In percentage form that is 0.307692308 or 30% chance that a peanut butter cookie will be selected. This also means that since there are 8 oatmeal there is a 30% percent chance for those as well.5/26 is 0.192307692, which is almost 20 percent. 30 +30 +20+20 is 100 percent. Now that we know there is a 30 percent for both peanut butter and oatmeal, we would have to have the percent of 8+8/26. 16/26 is 0.615384615. This means that the chance of picking a peanut butter then oatmeal cookie, back-to-back would be around 62%
Hope this helps good luck.
PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answers
Answer:
-222
Step-by-step explanation:
5/6 having denominator 35
Answers
Answer:( 175/6)
Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35
for what value of x is ABC~DEF 30,36
15 ,72
Answers
Answer:
Just do x 30,36 x 15,72
Step-by-step explanation:
just go on the calculator
you had $20 at the beginning of the week you worked 10 hours during the week having $70 how much do you earn each hour
Answers
Answer:
You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?
plss help me for branleist
Answers
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
A video game randomly chooses your car color and type. The
probability of getting a red car is 0.20, and the probability of
a getting a convertible is 0.30.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if
• A. The probability of getting a red car or a convertible is 0.06.
O
B. The probability of getting a red convertible is 0.06.
• C. The probability of getting a red car or a convertible is 0.50.
O D. The probability of getting a red convertible is 0.
Answers
The correct statement regarding when the events will be independent is given as follows:
B. The probability of getting a red convertible is 0.06.
What are independent events?Two events, A and B are independent, if:
\(P(A \cap B) = P(A)P(B)\)
In this problem, the probabilities are given as follows:
P(A) = 0.2.P(B) = 0.3.The events will be independent if:
\(P(A \cap B) = 0.2 \times 0.3 = 0.06\)
The intersection of events A and B is a red convertible car, hence the correct option is:
B. The probability of getting a red convertible is 0.06.
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If
\( \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0\)
and
\( {x}^{2} + {y}^{2} + {z}^{2} = 25\)
, then x + y + z will be? Z
Answers
Answer:
5
Step-by-step explanation:
We would like to find out the value of \( x + y + z \) from the given equations , which are ;
\(\longrightarrow \dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=0\)
\(\longrightarrow \\ x^2+y^2+z^2=25\)
Now consider ,
\(\longrightarrow \dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=0\\\)
\(\longrightarrow \dfrac{xy + yz + zx }{xyz }=0\\\)
\(\longrightarrow xy + yz + zx = 0(xyz)\\ \)
\(\longrightarrow xy + yz + zx = 0\\ \)
\(\longrightarrow 2(xy + yz + zx)=0(2)\\\)
\(\longrightarrow 2(xy + yz + zx)=0\)
Now recall the identity ,
\(\longrightarrow (a + b + c)^2=a^2+b^2+c^2+2(ab + bc + ca)\)
Plug in the values ,
\(\longrightarrow (x+y+z)^2= 25 + 0\\ \)
\(\longrightarrow (x + y + z )^2=25\\\)
\(\longrightarrow (x + y + z)=\sqrt{25}\\\)
\(\longrightarrow \underline{\underline{\boldsymbol{ x + y + z = 5}}}{} \)
And we are done !
Answer :
5⠀
Step-by-step explanation:
Given,
⠀
\({ \longrightarrow \qquad{ { \sf{ \dfrac{1}{x} + \dfrac{1}{y} + \dfrac{1}{z} = 0}}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ {x}^{2} + {y}^{2} + {z}^{2} = 25 }}}}\)
⠀
To Find :
\({ \longrightarrow \qquad{ { \sf{ x + y + z }}}}\)
⠀
Solution :
\({ \longrightarrow \qquad{ { \sf{ \dfrac{1}{x} + \dfrac{1}{y} + \dfrac{1}{z} = 0}}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ \dfrac{yz + zx + xy}{xyz} = 0}}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ {yz + zx + xy} = 0}}}}\)
⠀
Multiplying both sides by 2 :
⠀
\({ \longrightarrow \qquad{ { \sf{ 2( {yz + zx + xy} )= 0.2}}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ 2( {yz + zx + xy} )= 0}}}}\)
⠀
We know,
⠀
\({ \longrightarrow \qquad{ { \sf{ {(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2(xy + yz + zx) }}}}\)
⠀
As, It is given that,
⠀
\({ \longrightarrow \qquad{ { \sf{ {x}^{2} + {y}^{2} + {z}^{2} = 25 }}}}\)
⠀
and as we get,
⠀
\({ \longrightarrow \qquad{ { \sf{ 2( {yz + zx + xy} )= 0}}}} \\ \\{ \longrightarrow \qquad{ { \sf{ 2( {xy + yz + zx} )= 0}}}}\)
⠀
Now, We'll substitute it in the formula :
\({ \longrightarrow \qquad{ { \sf{ {(x + y + z)}^{2} = 25 + 0 }}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ {(x + y + z)}^{2} = {25} }}}}\)
⠀
\({ \longrightarrow \qquad{ { \sf{ {x + y + z}^{} = \sqrt{25} }}}}\)
⠀
\({ \longrightarrow \qquad{ { \bf{ \pmb {x + y + z}^{} = {5} }}}}\)
⠀
Therefore,
The value of x + y + z is 5 .100 Points! Algebra question. Sketch the angle. Then find its reference angle. Show your calculations. Photo attached. Thank you!
Answers
The reference angle of 13π/8 is 3π/8 and the sketch of the angle is attached
How to sketch the angle and find the reference angleFrom the question, we have the following parameters that can be used in our computation:
Angle = 13π/8
Rewrite as
θ = 13π/8
The above angle is in the fourth quadrant
So, we subtract it from 2π to calculate the reference angle
Using the above as a guide, we have the following:
Reference angle = 2π - 13π/8
Evaluate the difference
Reference angle = 3π/8
Hence, the reference angle is 3π/8 and the sketch of the angle is added as an attachment
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The probability of getting heads on a single coin flip is ;
2
The probability of getting nothing but heads
on a series of coin flips decreases by
2
for each additional coin flip. Enter an exponential function for the
probability p(n) of getting all heads in a series of n coin flips. Give your answer in the form a (b)'. In the
event that a = 1, give your answer in the form (b)'.
Answers
select all of the statements that are true for the given parabola?check all that apply(everything in picture)
Answers
The x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
Here the graph or equation is not given:
So we are assuming the equation for the parabola is:
y = x²—4
If we plot the graph of the parabola, we can say:
The x-intercepts are (-2, 0) and (2, 0) The minimum is at (0, -3)The line of symmetry is x = 0Thus, the x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
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Given that p=3i+j+2kand q=i-2j-4k are the position vectors
of points P and Q respectively, use the information to answer
Questions 2 and 3.
2.
Find an equation for the plane passing through Qand
perpendicular to liné PQ.
Answers
The equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
Let position vector of point P be:
p = 3 i + j + 2 k
Let position vector of point Q be:
q = i - 2 j - 4 k
So, PQ = Q - P
PQ = n = i - 2 j - 4 k - (3 i + j + 2 k)
n = i - 2 j - 4 k - 3 i - j - 2 k
n = - 2 i - 3 j - 6 k
The Equation of plane passing through point Q and perpendicular to PQ will be:
(r - q).n = 0
r n = q n
q n = (i - 2 j - 4 k) . (- 2 i - 3 j - 6 k)
q n = - 2 + 6 + 24
q n = 28
r n = 28
r (- 2 i - 3 j - 6 k) = 28
r (2 i + 3 j + 6 k) + 28 = 0
Therefore the equation for the plane passing through Q and perpendicular to line PQ is r (2 i + 3 j + 6 k) + 28 = 0.
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