In this example, the number being divided (15) is known as the dividend, and the number being divided by (3 in this instance) is known as the divisor. The quotient is the outcome of the division. Observe how 15 x 3 = 5 is a correct equation even if you change the quotient and divisor.
Explain about the divisor and dividend?The dividend appears to the right, or underneath, the division bracket, while the divisor is the number that appears to the left, or outside, of the division bracket.
An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided. Quotient = Dividend Divisor.
To keep the divisor and dividend in the same proportion to one another, you multiply them by the same power.
This is true for division that is not decimal.
10 / 5 = 2.
Multiplying both sides by ten results in 100/50, which is still two.
If you merely divided by 10, you would get 100/5, which is equal to 20, or 10/50, which is equal to 1/5. Both of these throw off the ratio.
To learn more about divisor and dividend refer to:
https://brainly.com/question/28041197
#SPJ9
Divide and simplify your answer as much as possible
[tex]\cfrac{13u^3 y^2 - 32u^2 y}{-4u^3 y^2}\implies \cfrac{13u^3 y^2}{-4u^3 y^2}-\cfrac{32u^2 y}{-4u^3 y^2}\implies -\cfrac{13}{4}+\cfrac{8}{uy}[/tex]
the sampling distribution of the sample sum is normally distributed if thirty or more observations are taken from a population that is beta distributed.
According to the central limit theorem for sums, if you keep taking sums from bigger and bigger samples, the sums will eventually form their own normal distribution (the sampling distribution), which will become more similar to a normal distribution as the sample size grows.
What exactly does "normal distribution" mean?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.Because the probability density graph of the normal distribution resembles a bell, it is frequently referred to as the bell curve. In honor of the German mathematician Carl Gauss, who initially characterized it, it is often referred to as the Gaussian distribution.The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.
To learn more about Normal distribution refer to:
brainly.com/question/4079902
#SPJ4
How many 5-digit numbers can you form using the digits 8, 9, and 0?
Number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162
The numbers are 8, 9 and 0
Combination is the one of the method to show the number of arrangements the from collection of objects or numbers
Here we have to form 5 digits numbers using the digits 8,9 and 0
The ten thousand's place can be only filled with 8 or 9, we cant fill the digit 0 on the ten thousands place,
In remaining places we can fill all three digits
Therefore the number of combination = 2 × 3 × 3 × 3 × 3
= 162
Hence, number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162
Learn more about combination here
brainly.com/question/28720645
#SPJ1
2/3 ( 3/5 - 3/4) + 1/2÷1/4
Answer:
1.9
Step-by-step explanation:
-2x +
= -2x - 6 what is the missing constant?
Answer:
-6
Step-by-step explanation:
by using -6 any value of x would make the equation true resulting in infinitly many solutions
Find the measure of angle C.
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 360 ~~ = ~~ (7x+19)+(15x-1)+(4x-3)+(12x+3) \\\\\\ 360~~ = ~~38x+18\implies 342=38x\implies \cfrac{342}{38}=x\implies \boxed{9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle C}{15x-1}\implies 15(9)-1\implies 135-1\implies \stackrel{\measuredangle C}{\text{\LARGE 134}}[/tex]
calculate the area of parallelogram WXYZ.
The area of a parallelogram is:
a = bh
The base, b, of the parallelogram is 14.
The issue with this particular figure? We need the perpendicular height. We are given the side width, but that cannot be used in the final equation. So, we employ the Pythagorean Theorem.
We know that in the right triangle, a = 4, and c = 8.
a^2 + b^2 = c^2
4^2 + b^2 = 8^2
16 + b^2 = 64
16 - 16 + b^2 = 64 - 16
b^2 = 48
√b^2 = √48
b ≈ 6.93
So, b in this right triangle is equal to h in the parallelogram. So:
a ≈ 14(6.93)
a ≈ 97.02
Graph the lines with the given description: (Note: Question a) might be already solved.)
The graph of each equation is attached below each showing the point of intersection to the y-axis.
Graph of a Straight LineTo solve this question, we have to use a graphing calculator to plot the coordinates as well as show the point of intersection.
A line graph is a graphical representation of information that changes over a period of time. It is a chart made by joining points using line segments.
The graph of equation is attached below.
Learn more on graph of a straight line here;
https://brainly.com/question/14323743
#SPJ1
In a sale a TV has been
reduced by 20%. It now costs
£280. How much was it
before the sale?
Cost of the TV before sale £350
What is a Discount?We come across phrases like cost price, tagged price, discount, and selling price when making a purchase. Shop owners give discounts to customers to encourage product sales. Discount is the term used to describe a rebate or an offer made to clients on the listed price of goods. Let's examine the connections between these concepts.
Given,
Sale% = 20%
The cost of TV after the sale = £280
Finding the original price:
100% - 20% = 80%
So 80% is the price £280
We have to find the 20% which has been less
Or, £280 = 0.80 x T
Let the original price be T,
280 = 0.80 x T
280/0.80 = T
350 = T
Hence, the original price of the TV was £350.
To learn more about Discount click on the link
https://brainly.com/question/24304697
#SPJ9
Lesson 3 Practice Problems
1. Noah is running a portion of a marathon at a constant speed of 6 miles per hour.
Complete the table to predict how long it
would take him to run different distances
at that speed, and how far he would run in
different time intervals.
time
in hours
1
11/2012
13
miles traveled at
6 miles per hour
1/1/2012
9
4/1/2
The complete table when Noah is running a marathon at a constant speed of 6 miles per hour is mentioned below:
Time Distance
1 6
1/2 3
[tex]1\frac{1}{3}[/tex] 8
[tex]1\frac{1}{2}[/tex] 9
9 54
[tex]4\frac{1}{2}[/tex] 27
The running speed of Noah is 6 mph.
The formula for distance is given as:
D = v × t
Where D is the distance, v is the speed and t is the time.
Now,
When t = 1 hour,
D = 6 × 1 = 6 miles
When t = 1/2hour,
D = 6 × 1/2 = 3 miles
When t = [tex]1\frac{1}{3}[/tex] hour,
D = 6 × [tex]1\frac{1}{3}[/tex] = 6 × 4/3 = 8 miles
When t = [tex]1\frac{1}{2}[/tex] hour,
D = 6 × [tex]1\frac{1}{2}[/tex] = 6 × 3/2 = 9 miles
When t = 9 hours,
D = 6 × 9 = 54 miles
When t = [tex]4\frac{1}{2}[/tex] hour,
D = 6 × [tex]4\frac{1}{2}[/tex] = 6 × 9/2 = 27 miles
Therefore, the table will be:
Time Distance
1 6
1/2 3
[tex]1\frac{1}{3}[/tex] 8
[tex]1\frac{1}{2}[/tex] 9
9 54
[tex]4\frac{1}{2}[/tex] 27
Learn more about speed here:
brainly.com/question/13943409
#SPJ1
Crayons manufactory product 36,552 crayons each hour if the crayons containing 24 crayons each how many boxes of crayons are produced each hour 
After calculating basic arithmetic we have come to find that, 1523 boxes of crayons are produced in each hour if crayons manufactory produces 36,552 crayons in an hour.
What is arithmetic?Arithmetic ((arithmós) 'number', 'art, craft') is a fundamental branch of mathematics that focuses on the properties of traditional operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Giuseppe Peano, an Italian mathematician, formalized arithmetic in the nineteenth century with his Peano axioms,[disputed - discuss], which are still very important in the field of mathematical logic today.
The prehistory of arithmetic is limited to a few artifacts that may indicate the concept of addition and subtraction, the best-known of which is the Ishango bone from central Africa, which dates from somewhere between 20,000 and 18,000 BC, though its interpretation is disputed.
We have given that
crayon manufactory produces 36,552 per hours
Each box contain 24 crayons
No. of boxes manufactured in 1 hour = 36,552/24
= 1523
Thus, 1523 boxes of crayons are produced in each hour if Crayons manufactory produces 36,552 crayons in an hour.
Learn more about arithmetic
https://brainly.com/question/6561461
#SPJ9
Find the new price on a $14.50 shirt marked up 35%
Show Work.
Answer:$19.575
Solution
135/100of $14.50
=$19.575
or 35/100 of $14.50
=$5.075
$14.50+5.075
=$19.575
compare | 0.525 | and | -0.067 |
Answer:
|0.525| > |−0.067|
Step-by-step explanation:
Simplifying then comparing both terms |0.525| and |−0.067|, 0.525 is greater than 0.067, which means that the first term is greater than the second term.
2 of 35 Question 12 Review When the binomial 27x² - 300 is factored, the result is 3(3x - b)(3x + b). What is the value of b? a.10 b.20 c.50 d.150
In elementary algebra, the binomial expansion defines the algebraic expansion of powers of a binomial. The binomial equation be 27x² - 300 exists 3(3x + 10)(3x - 10).
What is meant by binomial equation?In elementary algebra, the binomial theorem (or binomial expansion) defines the algebraic expansion of powers of a binomial. According to the theorem, it exists possible to extend the polynomial [tex]$(x+y)^n$[/tex] into a sum involving terms of the form [tex]$a x^b y^c$[/tex], where the exponents b and c exists nonnegative integers with b + c = n, and the coefficient a of each term exists a specific positive integer depending on n and b.
Let the binomial equation be 27x² - 300
Factor out common term 3:
[tex]$\quad 3\left(9 x^2-100\right)$[/tex] [tex]$=3\left(9 x^2-100\right)$[/tex]
simplifying the above equation, we get
Factor [tex]$9 x^2-100: (3 x+10)(3 x-10)$[/tex]
= 3(3x + 10)(3x - 10)
If 3(3x - b)(3x + b) then we get
= 3(3x + 10)(3x - 10)
b = 10
The value of b = 10.
Therefore, the correct answer is option a. 10.
To learn more about binomial equation refer to:
https://brainly.com/question/9325204
#SPJ9
not sure how to work it out
Answer:
u hv to do middle terms ig
Graph △JKL and its image after a reflection in the line y=−3.
J(3,−5), K(4,−1), L(0,−3)
The vertices of the image are the points J'(x, y) = (3, - 1), K'(x, y) = (4, - 5) and L'(x, y) = (0, - 3), respectively.
What are the coordinates of the image of a triangle after using a reflection?
Triangles are created by three non-colinear points called vertices and the location of the image of the triangle is found by using a reflection around a line parallel to the x-axis for every point of the figure. This operation is described by the following expression:
P'(x, y) = P(x, y) - 2 · [P(x, y) - (p, k)]
Where:
P(x, y) - Coordinates of the original vertex.p - x-Coordinate of the original vertex.k - y-Coordinate of the equation of the line of reflection.If we know that J(x, y) = (3, - 5), K(x, y) = (4, - 1), L(x, y) = (0, - 3) and k = - 3, then the coordinates of the vertices of the image of the triangle are:
J'(x, y) = (3, - 5) - 2 · [(3, - 5) - (3, - 3)]
J'(x, y) = (3, - 5) - 2 · (0, - 2)
J'(x, y) = (3, - 5) + (0, 4)
J'(x, y) = (3, - 1)
K'(x, y) = (4, - 1) - 2 · [(4, - 1) - (4, - 3)]
K'(x, y) = (4, - 1) - 2 · (0, 2)
K'(x, y) = (4, - 1) + (0, - 4)
K'(x, y) = (4, - 5)
L'(x, y) = (0, - 3) - 2 · [(0, - 3) - (0, - 3)]
L'(x, y) = (0, - 3) - 2 · (0, 0)
L'(x, y) = (0, - 3) + (0, 0)
L'(x, y) = (0, - 3)
The vertices of the image of the triangle are J'(x, y) = (3, - 1), K'(x, y) = (4, - 5) and L'(x, y) = (0, - 3).
To learn more on reflections: https://brainly.com/question/17983440
#SPJ1
Find the y-intercept of the following equation. Simplify your answer.
4x + 5y = 0
Answer:
y-intercept= (0,0)
Step-by-step explanation:
4x+5y=0
4(0)+5y=0
5y/5=0/5
y=0
4x+5(0)=0
4x/4=0/4
x=0
same for x-intercept (0,0)
A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition, which is 12 times as much as a car in very
nice condition-if you can find an owner willing to part with one for any price.
What would be the value of the car in very nice condition?
Note: Do not round Intermediate calculations.
Value of the car
The value of the car in very nice condition is $5177.
How to calculate the value?From the information, a car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition, which is 12 times as much as a car in very nice condition.
Let the value of the nice condition car be x
Therefore, the expression will be;
= (12 × x) = 62125
12x = 62125
Divide
x = 62125 / 12
x = 5177
The value is $5177.
Learn more about car on:
brainly.com/question/25749514
#SPJ1
What’s the answer pls
What is the equation of the line that passes through the point (4,0) and has a slope
of -2
Answer: y=-2x+8
Step-by-step explanation: Write a table of values where for every x y goes down 2 to find the y intercept (0,8) so it would be 8. The slope is -2 and that is all you need to write the equation.
The weight, in pounds, of a certain type of adult squirrel is normally distributed with a mean of 4. 1 pounds and a standard deviation of 0. 5 pounds. What is the probability that a randomly selected squirrel has a weight less than 3 pounds? round your answer to four decimal places.
The percentage of squirrels that have a weight between 3 and 5 pounds is; 95.017%
What is percentage?In mathematics ,a percentage is a number that can be expressed as a fraction of 100. If you need to calculate the percentage of a number, divide the number by the whole number and multiply by 100. Percentages therefore mean 1 in 100. If you need to convert a decimal number like 0.57 to percent just multiply by 100 So 0.57 x 100 = 57. So as a percentage, 0.57 equals 57%. Percentage can be calculated by dividing the value by the total and multiplying the result by 100. The formula used to calculate the percentage is (value/total) x 100%.To learn more about percentage from the given link :
https://brainly.com/question/2155156
#SPJ4
Which expression has a value of 23?-3 - 2007 -(-16)10 - 13O-18 - (-5)
Firstly, we will need to try the following options one after the other in order to ascertain our answer
The first option
To find the distance between two points
Distance = Higher number - Lower number
-3 - 20
= - 23
This is very wrong because it has a negative sign
The second option
7 - (-16)
In mathematics, - x - = +
7 + 16
7 + 16 = 23
The answer is OPTION B
how to solve inequality 3x - y > 2 2x + y > 3
The graph of an inequality is a region in the Cartesian plane. To know which line is the limit of the graphical region, the inequalities are as if they were equations, that is, graph the following lines:
[tex]\begin{gathered} 3x-y=2\text{ (1)} \\ 2x+y=3\text{ (2)} \end{gathered}[/tex]To do this, first clear y in each of the equations:
First equation
[tex]\begin{gathered} 3x-y=2 \\ \text{ Subtract 3x from both sides of the equation} \\ 3x-y-3x=2-3x \\ -y=2-3x \\ \text{ Multiply by -1 on both sides of the equation} \\ (-y)\cdot-1=(2-3x)\cdot-1 \\ y=-2+3x \end{gathered}[/tex]Second equation
[tex]\begin{gathered} 2x+y=3 \\ \text{ Subtract 2x from both sides of the equation} \\ 2x+y-2x=3-2x \\ y=3-2x \end{gathered}[/tex]Now, give x values that are within the domain of each equation and replace them in each equation to find its corresponding value in y:
First equation
[tex]\begin{gathered} x=-1 \\ y=-2+3x \\ y=-2+3(-1) \\ y=-2-3 \\ y=-5 \\ \text{ Then, you have the ordered pair} \\ (-1,-5) \end{gathered}[/tex][tex]\begin{gathered} x=2 \\ y=-2+3x \\ y=-2+3(2) \\ y=-2+6 \\ y=4 \\ \text{ Then, you have the ordered pair} \\ (2,4) \end{gathered}[/tex]Second equation
[tex]\begin{gathered} x=0 \\ y=3-2x \\ y=3-2(0) \\ y=3 \\ \text{ Then you have the ordered pair} \\ (0,3) \end{gathered}[/tex][tex]\begin{gathered} x=3 \\ y=3-2x \\ y=3-2(3) \\ y=3-6 \\ y=-3 \\ \text{ Then you have the ordered pair} \\ (3,-3) \end{gathered}[/tex]Now, with the points found you can graph the lines that are the limit of the inequalities. So, you have
Finally, it only remains to paint the regions, taking into account the symbols of the inequalities
[tex]\begin{gathered} 3x-y>2 \\ \text{ Subtract 3x from both sides of the equation} \\ 3x-y-3x>2-3x \\ -y>2-3x \\ \text{ Multiply by -1 on both sides of the equation} \\ (-y)\cdot-1>(2-3x)\cdot-1 \\ y<-2+3x \end{gathered}[/tex][tex]\begin{gathered} 2x+y>3 \\ \text{ Subtract 2x from both sides of the equation} \\ 2x+y-2x>3-2x \\ y>3-2x \end{gathered}[/tex]In the case of the first inequality, you can see that y "is less than" the rest of the terms, and in the second inequality, you can see that y "is greater than" the rest of the terms.
Therefore, the graph of the given system of inequalities is
Which expression is equivalent to 8(x+3)−14(20x−56)
The equivalent expression of 8(x+3)−14(20x−56) is - 272x + 808.
What are equivalent expression?Two algebraic expressions are equivalent, when the two expressions have the same value when we plug in the same value(s) for the variable(s).
In other words, two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same.
Therefore, the equivalent expression of 8(x+3)−14(20x−56) can be found as follows;
8(x+3) − 14(20x−56)
open the parenthesis
8x + 24 - 280x + 784
combine the like terms
8x + 24 - 280x + 784
8x - 280x + 24 + 784
Therefore, the equivalent expression is as follows:
- 272x + 808
learn more on equivalent expression here: https://brainly.com/question/27950681
#SPJ1
Which expression is equivalent to the given expression?
-2x² + 8x 9 + 4x + 7x² + 2
A. -9x²
OB.
c.
-
D.
12x + 11
-5x² + 4x + 11
-9x² + 4x - 7
5x² + 12x - 7
Answer:
[tex]5x^{2} +12x-7[/tex]
Step-by-step explanation:
first, we need to simplify the expression: [tex]-2x^{2} +8x-9+4x+7x^{2} +2[/tex]we know that [tex]-2x^{2}[/tex] and [tex]7x^{2}[/tex] have the same exponent ([tex]x^{2}[/tex]) so we can combine them[tex]-2x^{2} +7x^{2} =5x^{2}[/tex]now we have left is [tex]+8x-9+4x+2[/tex]we also see that 8x and 4x have the same exponent (x). now we combine them8x+4x=12xnow we have left is -9+2-9 and 2 can be combined together-9+2=-7now we put each exponent in order (x^power biggest to least)(ex; [tex]x^{6}x^{5} x^{3}[/tex]) then just x then numbers without xit should be[tex]5x^{2} +12x-7[/tex]Given the polynomial: f(x) = 3x² + x + 9, find f(-5).
Answer:
79.
Step-by-step explanation:
Replace the x by -5 and simplify:
f(-5) = 3(-5)^2 + (-5) + 9
= 75 - 5 + 9
= 79.
The value of f(-5) will be 79.
Step-by-step explanation:
An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s) is called a polynomial.
The following table gives special names given to polynomials of low orders.
polynomial order polynomial name
2 quadratic polynomial
3 cubic polynomial
4 quartic
5 quintic
6 sextic
Here, the given polynomial: f(x) = 3x² + x + 9
by putting value of x = -5
[tex]3*(-5)^{2} + (-5) + 9[/tex]
after putting we get,
[tex]75 - 5 + 9[/tex]
On solving the above numerical we get,
[tex]79[/tex].
So our final answer would be 79 on putting x = -5 in the given polynomial : f(x) = 3x² + x + 9
To learn more about polynomials, visit :
https://brainly.com/question/11536910?referrer=searchResults
you are selling packs of 12 for $3.28 at this rate how much should you charge for a pack of 20 pens
Find the value of x
Please show work!!
Answer:
x = 6
Step-by-step explanation:
8x + 7x = 90
15x = 90
x = 6
x+y+z=4
x = -2y
z = -3y
We're given : x+y+z = 4
x = -2y
z = -3y
So, we replace x = -2y and z = -3y in the original equation.
-> -2y + y + -3y = 4
-> -4y = 4
-> y = -1
Now we have the value of y, we substitute it into x and z
x = -2y = -2(-1) = 2
z = -3(-1) = 3
what is the significance of finding the n(10) values and absolute ages of the 6 surfaces that the apollo astronauts landed on? select the answer that best addresses the question.
The surface age. The surface age is the amount of time that has passed between the start of a surface's or interface's creation and the observation or measurement. A continuous probability distribution called a normal distribution has values distributed symmetrically, primarily in an area around the mean.
What exactly does "normal distribution" mean?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.Because the probability density graph of the normal distribution resembles a bell, it is frequently referred to as the bell curve. In honor of the German mathematician Carl Gauss, who initially characterized it, it is often referred to as the Gaussian distribution.The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.To learn more about Normal distribution refer to:
https://brainly.com/question/4079902
#SPJ4
