The original price of the upright bike is $3,600.
What is the original price of the upright bike?
Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign that is used to represent percentages is %. Percentage is a measure of frequency.
Original price of the upright bike = sales price / percent discount
= $720 / (20/100)
$720 / 0.2
= $3,600
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Solve the equation
below. Show all of your
work.
20= m÷-5
Answer:
The solution to the equation 20 = m ÷ -5 is m = -100
To see this, we can multiply both sides of the equation by -5 to isolate the variable m:
20 × -5 = m ÷ -5 × -5
Expanding the right side of the equation:
20 × -5 = m × 1
Combining like terms:
-100 = m
And the solution is:
m = -100
Verification:
To verify the solution, we can plug in the value of m back into the original equation and see if it is true:
20 = -100 ÷ -5
Expanding -100 ÷ -5:
20 = 20
Since 20 = 20 is a true statement, we have verified that the solution m = -100 is correct.
Hakeem made 5% of his free throws over the season. If he shot 200 free throws, how many did he make?
Hakeem made 10 shots. The solution has been obtained by using proportions.
What is proportion?
Two numbers are compared. It is known as a proportion in mathematics. The law of proportion states that if two sets of given numbers rise or decrease in the same ratio, they are considered to be directly proportionate to one another.
We are given that Hakeem made 5% of his free throws over the season.
He shot 200 free throws and was able to make 5% from them.
So,
Number of throws he made = Number of free throws x Percentage made
Using this, we get
⇒Number of throws he made = 200 x 5%
⇒Number of throws he made = 10
Hence, Hakeem made 10 shots.
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Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.
Answer:
(a) Possible number(s) of positive real zeros: 3
(b) Possible number(s) of negative real zeros: 1
Step-by-step explanation:
Descartes' Rule of Signs tells us the maximum number of positive and negative roots.
Positive root case
[tex]f(x)=-3x^4+2x^3-x^2+9x+7[/tex]
As there are 3 sign changes, the maximum possible number of positive roots is 3.
Negative root case
[tex]\begin{aligned}f(x)&=-3(-x)^4+2(-x)^3-(-x)^2+9(-x)+7\\&=-3x^4-2x^3-x^2-9x+7 \end{aligned}[/tex]
As there is one sign change, the maximum possible number of negative roots is 1.
The period of a function represents _____.
the displacement of x at which the graph begins to repeat
the displacement of y at which the graph begins to repeat
the displacement of y from the central axis of the wave
the displacement of x from the central axis of the wave
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To encourage bulk buying, a company reduces the list price of $4,000 per unit by
three cents times the number of units bought. Write a function statement for the
company's revenue (R) from a particular distributor that buys x units.
R(x) =
The expression (4000 - 0.03x) represents the discounted price per unit when x units are purchased and multiplying by x gives the total revenue from selling x units at that price.
What is revenue?
Revenue can be defined as the total amount of income generated by the sale of goods and services related to the primary operations of the business.
The revenue (R) from a particular distributor that buys x units can be calculated using the following function statement:
R(x) = (4000 - 0.03x) * x
Where
4000 is the original list price per unit 0.03 is the discount per unit per unit purchased x is the number of units purchasedThe expression (4000 - 0.03x) represents the discounted price per unit when x units are purchased, and multiplying by x gives the total revenue from selling x units at that price.
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Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −4 −3 −2 P(X=x) 0.55 0.39 0.06 Answer Keyboard Shortcuts First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision. Decide Reason
Answer:
x −4 −3 −2
P(X=x) 0.55 0.39 0.06
Step-by-step explanation:
∠X = 89°, ∠Y = 90°, ∠Z = ?
∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°
→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°
→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°
angle Y and W are supplementary angles
so
→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°
angle X and Z are supplementary angles
so
→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°
Therefore, the answer is
∠Z=40°
Find the equation of the line L
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture above
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{-3}-\underset{x_1}{(-1)}}} \implies \cfrac{1 +1}{-3 +1} \implies \cfrac{ 2 }{ -2 } \implies - 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-1)}) \implies y +1 = - 1 ( x +1) \\\\\\ y+1=-x-1\implies {\Large \begin{array}{llll} y=-x-2 \end{array}}[/tex]
Find the common difference of the arithmetic sequence -1,7,15,…
The common difference of the given arithmetic sequence is 8.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
The given arithmetic sequence is -1, 7, 15,....
Common difference = Second term - First term
= 7-(-1)
= 7+1=8
Common difference = Third term - Second term
= 15-7
= 8
Therefore, the common difference is 8.
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The solution is, the common differences are -3, -20, -10, -2, 5.
What is common difference?In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.
here, we have,
So we just need to take different pairs of consecutive terms and see if their difference is always the same:
1) The differences are:
32 - 35 = -3
29 - 32 = -3
26 - 29 = -3
So yes, this is an arithmetic sequence and the common difference is -3
2) The differences are:
-23 - (-3) = -20
-43 - (-23) = -20
-63 - (-43) = -20
This is an arithmetic sequence, and the common difference is -20
3) The differences are:
-64 -(-34) = -30
-94 -(-64) = -30
-124 -(-94) = -30
This is an arithmetic sequence and the common difference is -30
4) The differences are:
-40 -(-30) = -10
-50 - (-40) = -10
-60 - (-50) = -10
This is an arithmetic sequence and the common difference is -10
5) The differences are:
-9 - (-7) = -2
-11 - (-9) = -2
-13 - (-11) = -2
This is an arithmetic sequence, and the common difference is -2
6) The differences are:
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
This is an arithmetic sequence, and the common difference is 5.
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Which of the following equations represents a parabola with a vertical axis of symmetry, vertex at (10, –4), and p = –3?
(y + 10)2 = 12(x – 4)
(y – 10)2 = –12(x + 4)
(x + 10)2 = 12(y – 4)
(x – 10)2 = –12(y + 4)
(x - 10)² = -12 (y + 4) represents a parabola with a vertical axis of symmetry, vertex at (10, –4), and p = –3 .
What's a vertical parabola?
A vertical parabola has its axis of symmetry at x = h, and the vertex is (h, v). With this information, you can find the focus and directrix. The focus is the distance from the vertex to the focus is 1/(4a), where a can be found in the equation of the parabola (it is the scalar in front of the parentheses).
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to
4p(y - k) = (x - h)²
where
(h,k) is the vertex
In this problem we have
(h,k) = (10, –4)
p= -3
substitute
4*(-3)(y - (-4)) = (x - 10)²
-12 (y + 4) = (x - 10)²
or
(x - 10)² = -12 (y + 4)
Hence , option D is correct.
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Paying for First Dates USA Today posted this question on the electronic version of its newspaper: “Should guys pay for the first date?” Of the 1148 subjects who decided to respond, 85% of them said “yes.” What is wrong with this survey? Is the value of 85% a statistic or a parameter? Does the survey constitute an experiment or an observational study?
On solving the provided question we cans ay that the statistical data In this instance, the subject is not treated by the researcher.
what are statistical data?Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied. Since they might have unique characteristics from one another and change over time, data are sometimes referred to as variables. Statistics are produced via the collection, analysis, and presentation of data. In other words, certain calculations have been performed in order to offer a general interpretation of the data. Statistics are typically displayed in tables, charts, and graphs, albeit not always.
Due to the fact that these replies are not random, they may not accurately represent the population.
because they chose themselves.
The majority of the sample proportion demonstrates that it is statistical in (b)
(c) In this instance, the subject is not treated by the researcher.
The observational research is presented here.
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Are the ratios 4:6 and 2:3 equivalent? Yes or No
Answer:
Step-by-step explanation:
Yes, the ratios 4:6 and 2:3 are equivalent.
To see why, we can compare the proportions of the two ratios by dividing each term by the smaller term in each ratio.
In the ratio 4:6, if we divide both terms by 4, we get:
4/4 : 6/4 = 1 : 3/2
In the ratio 2:3, if we divide both terms by 2, we get:
2/2 : 3/2 = 1 : 3/2
Since both ratios reduce to the same proportion of 1 : 3/2, we can conclude that the ratios 4:6 and 2:3 are equivalent.
Ratios are mathematical expressions that compare two or more quantities. When two ratios are equivalent, it means that they represent the same proportion, even if the numbers in the ratios are different.
To compare the ratios 4:6 and 2:3, we divided each term in each ratio by the smallest term. This is because dividing each term by the same number will keep the proportion of the ratio the same.
For example, in the ratio 4:6, dividing both terms by 4 gave us the proportion of 1 : 3/2, which is the same as the proportion of 2:3 when divided by 2. This means that, even though the numbers in the two ratios are different, they represent the same proportion, and therefore the ratios are equivalent.
It's important to note that when comparing ratios, it's best to reduce the ratios to their simplest form so that the proportions are more easily compared.
Find side RT
10 m
13m
14 m
16 m
The side RT of the triangle is 13 m.
How to find the side RT of the triangle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The sine law is a mathematical formula used in trigonometry to relate the sides and angles of a triangle. The sine law states that:
a/sin(A) = b/sin(B) = c/sin(C)
where:
a, b, and c are the lengths of the sides of the triangle
A, B, and C are the angles opposite those sides
Using sine law:
RT/sin 34° = ST/sin 109°
RT/sin 34° = 22/sin 109°
RT = (22 * sin 34°)/(sin 109°)
RT = 13 m
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A collection of nickels, dimes, and quarters consist of
11
coins with a total of
$1.70
. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
The number of each type of coins are 3 nickle, 3 dime and 5 quarters.
What are coins?A usually flat piece of metal issued by governmental authority as money.
Given that, a collection of nickels, dimes, and quarters consist of 11 coins with a total of $1.70
We know that, the values are:
quarters (q) = 25 cent, nickles (n) = 10 cent, dime (d) = 5 cent:
q + n + d = 11 coins…(x)
25q + 10n + 5d = 170 cents
Since, d = n
Therefore,
q + 2n = 11
25q + 15n = 170
q + 2n = 11...(i)
5q + 3n = 34...(ii)
Put q = 11-2n, in eq(ii)
Therefore,
5(11-2n)+3n = 34
55-10n+3n = 34
7n = 21
n = 3
Put n = 3 in eq (i)
q = 11-6
q = 5
Put the values of n and q in eq (x)
3+5+d = 11
d = 3
Hence, the number of each type of coins are 3 nickle, 3 dime and 5 quarters.
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At a hair salon, each womab is charged $15 for a cut and 35$ for a color. how much money will the salon earn if w women grt a cut and a color?
=$50
Step-by-step explanation:
Total amount to be earn
if one women cut and add a colour
35$ + 15$
= $50
The salon earn if the women get a cut and a colour is $50.
What is Total amount?There are many meanings of total, but they all have something to do with completeness. A total is a whole or complete amount, and "to total" is to add numbers or to destroy something.
In math, you total numbers by adding them: the result is the total. If you add 8 and 8, the total is 16. If a car is totalled in an accident, it has been completely destroyed. A total defeat is a complete and utter defeat with no chance of recovering. The total resources of a company are all its resources, everything it has.
Step-by-step explanation:
Total amount to be earn
if one women cut and add a colour
35$ + 15$
= $50
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The ratio of the length to width of a rectangle is 3 to 2. If the length of the rectangle is 1 3/4 feet, what is the area of the rectangle in square inches?
Answer:
If the ratio of the length to width of the rectangle is 3 to 2, we can write the length and width as:
length = 3x and width = 2x
where x is a common factor that can be determined once we know one of the dimensions.
Since the length of the rectangle is given as 1 3/4 feet, we can set x = 1 3/4:
length = 3x = 3 * 1 3/4 = 5 1/4 feet
width = 2x = 2 * 1 3/4 = 3 1/2 feet
Now that we know the length and width of the rectangle, we can calculate its area in square inches:
area = length * width = 5 1/4 * 3 1/2 = 18 3/8 square feet
To convert from square feet to square inches, we multiply by 12^2 = 144:
area = 18 3/8 * 144 = 2664 square inches
So the area of the rectangle is 2664 square inches.
Find the unknown side length.
Answer:
x = 2.4 inch
Step-by-step explanation:
Tall retangular prism = lwh = 6 x 9 x 3 = 162 in^3
378 - 162 = 216
Long rectangular prism = lwh = (15)(6)(x) = 90x
216 = 90x
x = 2.4
a. A and D
b. B, C, and E
c. A,B,C,D, and E
d. A,D, and E
Answer:
b. B, C, and E
Step-by-step explanation:
The lateral surface area is the sum of the areas of all the faces except for the base.
Solve for x with the given measures
please help me. i don't know how to do this.
- 54 is the value of x in the linear equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
f(X) = x² + 7x - 4
A) f(-2) + f(4) = - 14 + 40 = 26
B) f(-2) - f(4) = - 14 - 40 = -54
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The equation $x^2 + 6x + y^2 + 6y = 18$ represents a circle. What is its center?
Answer:
Center = (-3, -3)
Step-by-step explanation:
[tex](x-h)^2+(y-k)^2=r^2\\\\Center=(h,k)[/tex]
[tex]x^2+6x+y^2+6y=18\\(x^2+6x \,\,\,\,\,\,\,) + (y^2+6y\,\,\,\,\,\,\,)=18\\\\\frac{6}{2} =(3)^2=9\,\,\,\,\,\,\,\,\,\,\,\,\,\, \frac{6}{2}=(3)^2 =9\\\\(x^2+6x+9)+(y^2+6y+9)=18+9+9\\(x+3)^2+(y+3)^2=36\\\\Center=(-3,-3)[/tex]
The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w)= 0.11w^1.36
Factor out the greatest common factor from the expressions below to find an equivalent ex
pression. (Hint First combine the like terms and them find the GCF and factor the expression
4 16p+5+9p+25
The solution is, the Factor out the greatest common factor from the expression is 5(5p+6).
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.
here, we have,
given expression is,
16p+5+9p+25
=25p+30
=5(5p+6)
Hence, The solution is, the Factor out the greatest common factor from the expression is 5(5p+6).
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This right circular cylinder has a radius of 8 in. And a height of 15 in. What is its volume, v?.
The volume of the cylinder is approximately 9,558.4 cubic inches.
The volume V of a right circular cylinder is given by the formula:
V = πr^2h
where r is the radius of the circular base and h is the height of the cylinder.
In this case, the radius is 8 inches and the height is 15 inches. Substituting these values into the formula, we get:
V = π(8^2)(15)
= π(64)(15)
= 3,040π cubic inches
Therefore, the volume of the cylinder is 3,040π cubic inches. If you want an approximate value, you can use the approximation π ≈ 3.14 and calculate:
V ≈ 3,040(3.14)
≈ 9,558.4 cubic inches
So, the volume of the cylinder is approximately 9,558.4 cubic inches.
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Find the lower quartile for the data. {63, 74, 63, 76. 73, 70, 74, 69, 69, 65, 70, 70, 72, 70, 65}
A. 65
B. 68
C. 66
D. 67
Answer:
65
Step-by-step explanation:
The lower quartile for the given data is 65. To calculate this, we first need to sort the data in ascending order: {63, 63, 65, 65, 69, 70, 70, 70, 70, 72, 73, 74, 74, 76}. The lower quartile is then calculated as the median of the lower half of the data, which is 65.
please help!!
I can’t put the answer options because brainly won’t allow me to choose multiple photos at once, but there are solid line graphs, dotted line graphs, and they are all shaded.
Please help I have no clue on what to do I will give you guys multiple points if you are able to help.
Based on the information, we can infer that the graph would be a curve like the one shown in the attached image.
How to graph this information?First of all, to graph the information about the body temperature of children, we must consult on the internet or other sources what is the body temperature of children. Below is the information:
The average body temperature is 98.6 F (37 C). But normal body temperature can range between 97 F (36.1 C) and 99 F (37.2 C) or more.According to the above, the graph should present a higher frequency at a temperature of 98.6, so the highest point on the graph would be at that temperature. On the other hand, the other temperatures would decrease because they are less frequent among children.
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1 1/2 + 3 2/3 + 2/3 equals what?
Answer: 35/6 or 5 and 5/6
Step-by-step explanation:
Answer:
35/6
Step-by-step explanation:
T (ABCD) = (A'B'C'D'). If A is (6, −8), A' is (−2, 4), and B is (4, −6), what are the coordinates of B'?
A. (−4, −12)
B. (−8, −4)
C. (−4, 6)
D. (−2, −12)
Option C : (-4, 6) are the coordinates of B'.
What are meant by coordinates?
Coordinates are two integers (Cartesian coordinates) or often a letter and a number that identify a particular place on a grid known as a coordinate plane. A coordinate plane has four quadrants and two axes: the horizontal x-axis and the vertical y-axis (vertical).
Given T(ABCD) = (A'B'C'D') and A = (6, -8) , A' = (-2, 4)
If B = (4, -6) then let B' = (x, y)
now, x - 4 = -2 - 6
x = 4 - 2 - 6 = -4
and y - (-6) = 4 - (-8)
y + 6 = 4 + 8
y = 6
Therefore, B' = (-4, 6)
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You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.
The system of linear equations representing the given situation is: 2x + y = 10 and 2x + 3y = 22. Solving this system, we find that it takes 6 minutes to jog around the park.
a. Let's use x to represent the number of minutes it takes to jog around the block and y to represent the number of minutes it takes to jog around the park.
From the problem statement, we know that:
2x + y = 10 (jog around the block twice and the park once in 10 minutes)
2x + 3y = 22 (jog around the block twice and the park three times in 22 minutes)
These are the two linear equations that represent the given situation.
b. We can solve this system of equations to find the value of y, which represents the number of minutes it takes to jog around the park.
We can start by eliminating x from the equations. Subtracting the first equation from the second, we get:
(2x + 3y) - (2x + y) = 22 - 10
2y = 12
y = 6
So, it takes 6 minutes to jog around the park.
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Complete question:
You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes.
a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations:
b. how long does it take you to jog around the park? it takes you minutes to jog around the park.
