Answer:
x = 22
x = 4,6
Step-by-step explanation:
3x - 22 = 44
3x = 44 + 22
3x = 66
x = 66/3
x = 22
5/6 = 10/2x - 3
5/6 + 3 = 10/2x
5/6 + 18/6 = 10/2x
23/6 = 10/2x
23/6 * 2 = 10x
46 = 10x
x = 46/10
x = 4,6
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.1) Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.2) Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.3) Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.4) Graph the function. On the graph, make sure to label the intercepts. 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Given
\(\begin{gathered} 2x+3y=1470 \\ x\rightarrow\text{ number of sandwiches} \\ y\rightarrow\text{ number of wraps} \end{gathered}\)1) Solve for y to find the slope-intercept form, as shown below
\(\begin{gathered} \Rightarrow3y=1470-2x \\ \Rightarrow y=\frac{1470}{3}-\frac{2x}{3} \\ \Rightarrow y=-\frac{2}{3}x+490 \end{gathered}\)The slope-intercept form of the equation is y=-2x/3+490, where -2/3 is the slope and +490 is the y-intercept.2) To graph the equation, start at (0,490), the y-intercept; then, move 3 units to the right for every 2 units down because the slope is -2/3.For example, to the right of (0,490) we can find (0+3,490-2)=(3,488)
3) From part 1), notice that to the right of the equality there are only terms of x; then, we can rewrite it as shown below
\(\begin{gathered} y=f(x) \\ \Rightarrow f(x)=-\frac{2x}{3}+490 \end{gathered}\)The graph of f(x) is the number of wraps as a function of the number of sandwiches (x).4)
5)
The slope of the two lines will be the same since the ratio cost of a sandwich to the cost of a wrap stays the same; in contrast, the value of the y-intercept will be different because the total profit is now $1593 rather than $1470Can someone please explain how to do number 9.
Answer:
x<15, probably
Step-by-step explanation:
maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right
What is the value of x?
A-14
B-26
C-35
D-69
Answer:
14
Step-by-step explanation:
What is the current temperature in Fahrenheit on the thermometer below?
A.
B.
C.
D.
Answer:
the answer is D just did the quiz hope this helps!!!!!
Step-by-step explanation:
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3
All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1
a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?
Answer:
a) For Pawnee:
Range = 11, Mean = 3.13, Mean deviation = 2.44
For Chickpee:
Range = 7, Mean = 4.25, Mean deviation = 1.59
b) Pawnee Location has fewer lost days.
c) variation of the Chickpee is less than Pawnee location
Step-by-step explanation:
Data given:
For Pawnee:
3 1 0 0 2 11 5 3
Max = 11
Min = 0
Range = Max - Min
Range = 11-0 = 11
Range = 11
For Chickpee:
3 6 8 4 4 5 3 1
Max = 8
Min = 1
Range = Max - Min
Range = 8 - 1
Range = 7
For mean of Pawnee:
Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8
Mean = 25/8
Mean = 3.125
For mean deviation, we find the difference from the mean of each point.
Note: all the negative values will be taken as 0.
Differences from the mean of each point =
(3-3.13)=0.13, (1-3.31) = 2.13 ,
(0-3.13)=0, (0-3.13)=3.13,
(2-3.13)=1.13, (11-3.13)=7.87,
(5-3.13)=1.87, (3-3.13)=0.13
So, our differences are:
(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )
Mean deviation = Sum of all differences/8
Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8
Mean deviation = 2.44
For mean of Chickpee:
Mean = (3+6+8+4+4+5+3+1)/8
Mean = 34/8
Mean = 4.25
Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.
Note: all the negative values will be taken as 0
Differences from the mean:
(3-4.25) = 1.25, (6-4.25) =1.75,
(8-4.25) = 3.75, (4-4.25)=0.25,
(4-4.25)=0.25, (5-4.25)= 0.75,
(3-4.25)=1.25, (1-4.25) =3.25
So, the differences are:
Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)
Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8
Mean deviation = 1.59
b) which location has fewer lost days:
This can be found out by the total number of days of Pawnee and chickpee.
Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days
Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days
Hence, Pawnee Location has fewer lost days.
C) which location has less variation?
Formula for variation = ∑(\(\frac{x^{2} }{8}\)) - (\(mean^{2}\))
where x = values of the set.
For Pawnee:
\(mean^{2}\) = \(3.13^{2}\) = 9.8
Sum of square of all the data points of Pawnee = 169
Variation = 169/8 - 98 = 11.325
Similarly,
For Chickpee:
\(mean^{2}\) = \(4.25^{2}\) = 18.06
Sum of square of all the data points of Chickpee = 176
Variation = 176/8 - 18.06
Variation = 22-18.06
Variation = 4
Hence, variation of the Chickpee is less than Pawnee location
Graph the inequality. y>|x+5|-3
Answer:
Step-by-step explanation:
1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Given the system of equations One-third x minus two-thirds y = 7 and two-thirds x + 3 y = 11, which numbers can be multiplied by the equations to eliminate the x-variable? Check all that apply.
–6 times the first and 3 times the second
6 times the first and –3 times the second
–3 times the first and 6 times the second
3 times the first and –6 times the second
2 times the first and –1 times the second
abe
Answer:
Step-by-step explanation:
2 times the first and –1 time the second will eliminate the x variables in the equations.
Option E is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
(1/3)x - (2/3)y = 7 ____(1)
(2/3)x + 3y = 11 _____(2)
Now,
Multiply 2 on equation (1).
Multiply - 1 on equation (2).
We get,
(2/3)x - (4/3)y = 14
-(2/3)x - 3y = -11
-(4/3)y - 3y = 14 - 11
Now x variable gets eliminated.
Thus,
2 times the first and –1 time the second will eliminate the x variables in the equations.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2
4
Step-by-step explanation:
I not understand this any help please answer and explain please
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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Work out the value of 6c + 7
when c = 8
Answer:
6c+7 (c=8)
Step-by-step explanation:
6×8+7
48+7
do the addition answer will come
The value of the expression 6c + 7 at c =8 will be 55.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of the expression will be given as:-
E = 6c+7
Put (c=8) in the above expression
E =6×8+7
E = 48+7
E = 55
Therefore the value of the expression 6c + 7 at c =8 will be 55.
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Find the volume of the following figure
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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How many 4 digit numbers are multiples of 8?
Answer:
The multiples of 8 are 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200,208 and so on. Any number that can be denoted in the form 8n where n is a natural number is a multiple of 8.
5) The area of a practice field is 45,100 squarefeet. How large is the field in squaremeters?
Given:
Area of practice field = 45,100 square feet
Let's convert to square meters.
Given that
1 square foot = 0.092903 square meter
45100 square feet = x square meter
\(45100\text{ }\ast\text{ }\frac{0.092903}{1\text{ sq. foot}}\text{ = }4189.93\text{ square meters}\)Therefore, the area of the field in square meters is:
4189.93 square meters
ANSWER:
4189.93 square meters
Pablo the trainer has to solo work out plans that offers his clients plan a and Plan B each client does either one or the other not both on Friday there are two clients who did plan a and three who did plan be on Saturday there were six clients who did plan a and five who did Plan B Pablo‘s training his Friday clients for a total of six hours and a Saturday class a total 12 hours how long does each of the work out plans last
Answer:
Frank the trainer has two solo workout plans that he offers his clients:
Frank the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 6 clients who did Plan A and 5 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Frank trained his Monday clients for a total of 7 hours and his Tuesday clients for a total of 3 hours. How long does each of the workout plans last?
Length of each plan A workout:
Length of each plan B workout:
Step-by-step explanation:
pa follow nalang po
30 points. WILL MARK BRAINLIEST
Which would be a correct first step to solve the following system of equations using the elimination method?
x + 3y = 16
2x + y = -18
A: Add the two equations together
B: Subtract the first equation from the second equation
C: Multiply the first equation by -2
D: Multiply the second equation by 2
Answer:
C: Multiply the first equation by -2
Step-by-step explanation:
-2 * (x + 3y = 16) = -2x-6y=-32
The resulting equation would be -2x-6y=-32
In the next if you add the two equations, you will successfuly eliminate x and can now solve for y.
-2x-6y=-32
2x + y = -18
Answer:
c
Step-by-step explanation:
x+3y=16________________eqn 1
2x+y=-18_______________eqn 2
multiply first equation by - 2
-2(x+3y=16)
-2x-6y= -32______________eqn 3
using elimination method
-2x-6y= -32
+
2x+y= -18
0-5y= -50
-5y= -50
divide both sides by -5
-5y/5= -50/5
y=10
substitute y in eqn 2 to find the value of x
2x+y= -18
2x+(10)= -18
2x+10= -18
2x= -18-10
2x= -28
divide both sides by 2
2x/2= -28/2
x= -14
The sum of two numbers is 52. If one number is
7/6
times the second number, then find the largest
Answer:
28
Step-by-step explanation:
Given:
sum of two numbers = 52one number is 7/6 times the second numberLet \(x\) = first number
\(\implies \dfrac76x = \textsf{second number}\)
Therefore, as the sum of the two numbers is 52:
\(\implies \dfrac76x+x=52\)
\(\implies \dfrac76x+\dfrac66x=52\)
\(\implies \dfrac{13}{6}x=52\)
\(\implies13x=52 \cdot 6\)
\(\implies13x=312\)
\(\implies x=\dfrac{312}{13}\)
\(\implies x=24\)
Therefore, the largest number is:
\(\implies \dfrac76\cdot 24 =\dfrac{168}{6}=28\)
I need help which triangle theorem do I use for these
Answer:
Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side, e. RHS because it has a right angle, f. AAS because it has two angles and non included side.
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f
Answer:
C on edge
hope this helps
Step-by-step explanation:
The answer was C for me on Edg.
Draw the next five shapes in this pattern.
Answer:
what next five shapes in the pattern
Answer:
I can make one up for you
Square , Circle , Square , Prism , Sphere , Cone , Semi-Circle , Square , Circle,
What are the next 5 shapes ?
Step-by-step explanation:
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
-
The sum of a number times 7 and 29 is at most − 26.
Use the variable b for the unknown number.
Using the variable b for the unknown number, we have the expression 7b + 29 ≤ - 26.
What is a variable?In algebra, a variable is a symbol (typically a letter) used to represent an unknowable numerical value in an equation. The variables x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are frequently used (arc length).
The sum of a number times 7 and 29 is at most -26 .
The inequality in the mathematical form will be written as below:-
7b + 29 ≤ -26.
Therefore, the inequality will be written as 7b + 29 ≤ - 26.
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The sum of two numbers is eight one number is four less than the other find the numbers
Step-by-step explanation:
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Answer: The answer is 6 and 2
Step-by-step explanation:
X is first number, Y is second
x + x - 4 = 8
2x = 12
x = 6
Y = x - 4
Y = 6 - 4
Y = 2
x = 6
Y = 2
PLEASE HELP AS SOON AS YOU CAN
Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Answer:
I not understand your questions
20% of 50 please?
thank usm
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
What is the perimeter of this rectangle?
Answer:
6\(\sqrt{17}\) or 24.738634
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.
The picture shows the Pythagorean theorem being used to find AB and AD.
AB = \(\sqrt{17}\)
AD = \(\sqrt{68}\)
Now we can find the perimeter
2(\(\sqrt{17}\)) + 2(\(\sqrt{68}\)) = 6\(\sqrt{17}\)