Answer:
13 for blank
Step-by-step explanation:
if I am correct i believe that you want both sides to equal each other
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
Question 11 (1 point)
Find the slope between the two given points.
Answer:
Step-by-step explanation:
i would say a
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.
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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.
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-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
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]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 :
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not sure how to work it out
Answer:
u hv to do middle terms ig
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
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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]
Part Brom least toBlair purchases the T-shirts from Company B. She needs to add a 759markup to her total cost to make a profit when she sells the shirts at thcarnival. How should Blair determine the selling price of each T-shirt atthe carnival?st CostDrag a number into each box to make the statements true.В B.She canThe total cost Blair paid for one T-shirt is $calculate the markup by multiplying her total cost by:Blair will sell each T-shirt at the carnival for $Finish LaterIISubmit
First step
We want to find the cost of each shirt Blair paid. In order to find it we want to find the total price Blair paid for the whole order and then divide it by 150 (total number of shirts).
She chose Company B.
They charge $3.10 per shirt, plus 4% of the total order for shipping.
There are 150 shirts, then the total order for shipping is:
150 · $3.10 = $465
we want to add the 4%. The 4% of $465 is
$465 · 4/100 = $465 · 0.04
= $18.60
If we add it to the total order for shipping:
$465 + $18.60 = $483.60
Second step
Now we divide the total price of 150 into 150: this is the cost for one shirt.
$483.60/150 = $3.224
If we round it to the nearest hundredth:
$3.224 ≅ $3.22
Answer- The total cost Blair paid for one T-shirt is $3.22
Mark upWe know that she needs to add 75% to the total cost.
Let's remember that every percentage is equivalent to it divided by 100: for example 100% is equivalent to 1. For 75%:
75% = 75/100 = 0.75
Then 75% is equivalent to 0.75.
This means that if we want to find the 75% of something we multiply it by its equivalent: 0.75.
Answer- She can calculate the markup by multiplying her total cost by 0.75
Sell price
Based on the previous parts, we know that we want to add the 75% (0.75) of the cost of each T-shirt Blair paid ($3.22).
We first find the 75% of $3.22 and then add it to it: it will be the cost of sell.
First step
The 75% of the total cost of each shirt ($3.22) is:
0.75 · $3.224 = $2.418
Second step
Adding the 75% to the total price:
$3.224 + $2.418 = $5.642
If we round it to the nearest hundredth:
$5.642 ≅ $5.64
Answer- Blair will sell each T-shirt at the carnival for $5.64.
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
Algebra 1-Semester 1
What is the value of x in this equation
3(2x - 5)- 4x + 8 = -1.
Answer: x=3
Step-by-step explanation:
6x-15-4x+8=-1
2x-7=-1
2x=6
x=3
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]
due now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A major weakness of the Articles of Confederation is that: B. States could ignore laws passed by the Congress.
What are the Articles of Confederation?The Articles of Confederation can be defined as the first written documents that were regarded as the Constitution of the United States of America, which was agreed upon by the thirteen (13) original states.
Under the Articles of Confederation, the national government was unable to raise revenue due to lack of enforcement powers of the confederate Congress.
In conclusion, we can reasonably infer and logically deduce that one of the limitations of the Articles of Confederation was the inability of Congress to enforce the laws it made because they can be ignored by states.
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Complete Question:
What was one major weakness of the Articles of Confederation?
A. State governments lost most of their political power.
B. States could ignore laws passed by the Congress.
C. The national government could not negotiate treaties.
O D. There was no way for new territories to become states.
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.
A)y= 160.5 (2.3^x) + 20.5B)y= 99.8 (1.5^x) - 80.8C)y= 120.4 (0.8^x) – 209.1D)y= 147.3 (1.2^x) – 221.4Using technology, find the exponential function of best fit for the data.
The plot of the data in the table is shown below.
And the plot of the answer choices is plotted in the following figure.
As we can clearly see, the exponential function of choice D best fits the data in the table,
Hence, choice D is the correct one.
A t-shirt and two pairs of shorts cost $53.50. At the same store, two t-shirts and three pairs of shorts cost $84.
Assuming that all shirts are sold for the same price, and all shorts cost the same, too, which statement is true?
A)A t-shirt is $7.50 and a pair of shorts is $23.
B)A t-shirt is $30.50 and a pair of shorts is $3.75.
D)A t-shirt is $3.75 and a pair of shorts is $30.50.
E)A t-shirt is $23 and a pair of shorts is $7.50
First option is correct. A t - shirt cost $7.50 and a pair of shorts cost $23
Simultaneous linear equation: what is it?First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between them.
Linear equations are those with one degree.
Simultaneous linear equations are two or more linear equations that can be solved simultaneously to find a common solution.
Let the price of one t-shirt be $x and price of one pair of shorts be $y
A t-shirt and two pairs of shorts cost $53.50
So, x + 2y = 53.50 .................... (1)
Two t-shirts and three pairs of shorts cost $84.
So, 2x + 3y = 84 ................ (2)
Multiplying (1) by 2,
2x + 4y = 107 .............(3)
Subtracting (2) from (3),
4y - 3y = 107 - 84
y = 23
Putting the value of y in (1)
x + 2[tex]\times[/tex]23 = 53.50
x = 53.50 - 46
x = 7.50
A t shirt cost $7.50 and a pair of shorts cost $23
First option is correct
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2 of 35 Question 12 Review When the binomial 27x² - 300 is factored, the result is 3(3x - b)(3x + b). What is the value of b? a.10 b.20 c.50 d.150
In elementary algebra, the binomial expansion defines the algebraic expansion of powers of a binomial. The binomial equation be 27x² - 300 exists 3(3x + 10)(3x - 10).
What is meant by binomial equation?In elementary algebra, the binomial theorem (or binomial expansion) defines the algebraic expansion of powers of a binomial. According to the theorem, it exists possible to extend the polynomial [tex]$(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.
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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
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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
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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:
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2/3 ( 3/5 - 3/4) + 1/2÷1/4
Answer:
1.9
Step-by-step explanation:
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
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.
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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
you are selling packs of 12 for $3.28 at this rate how much should you charge for a pack of 20 pens
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).
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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.
What’s the answer pls
