The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
Algebraic expression to show how much Maria paid for the ticketsNumber of tickets Maria bought = 5Cost of each tickets = $20Additional fee per tickets = $2let
Total amount Maria paid for the tickets = yTotal amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)
y = 20(5) + 2(5)
y = 100 + 10
y = $110
Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
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What is the correct answer?
Answer: 7x=9
because x is 2 and 7+2= 9
partial products
16x29?
Step-by-step explanation:
464
first u will multiply 16 with 29
after u get that number that will be your answer
Answer:
29
× 16
54
120
90
+ 200
= 464
Determine the domain of the following graph:
Answer:
[-10, 2]
Step-by-step explanation:
The domain is the set of x values.
if fx(x)=3x -1 and g(x)x^2 then what is (fog)(x)
The result function of (fog)(x) in the given functions is 3x² - 1.
What is the result function of (fog)(x)?Given the functions in the questions;
fx(x) = 3x - 1g(x) = x²(fog)(x) = ?Set up the composite result function and simplify.
(fog)(x) = f(g(x) = f(x²)
Evaluate f(x²) by substituting in the value of g into f
fx(x) = 3x - 1
f(x²) = 3(x²) - 1
Now, simplify
f(x²) = 3(x²) - 1
f(x²) = 3x² - 1
Therefore the result function of (fog)(x) in the given functions is 3x² - 1.
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. 3 is decreased by a number.
Answer:
3-x
Step-by-step explanation:
Which of the following are the most likely factors of the function
graphed above?
O(x+1)(x-5)
0 (x)(x-5)
0 (x-1)(x+5)
0 (x)(x+5)
2. Suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes
Answer:3
Step-by-step explanation:bc
Zach had surgery, which was his third claim of the year. He had a bill of $5000. Considering the prior visits, what is Zach’s portion of this bill and what is the responsibility of the insurance carrier?
Zach is supposed to pay $1000 for this surgery. The other $4000 is to be covered by his insurance.
Responsibility of insurance carriers:-
A primary function of an insurance agent is that of a communicator, counselor, and facilitator. The insurance agent can provide the best products and services for the prospective customer's various needs, such as life, property, health, and burglary insurance. When purchasing an insurance product, let the insurance agent know ahead of time how much money they have set aside for insurance coverage. In turn, the insurance agent will assist their clients in obtaining the lowest or best insurance product costs.
:- The insurance agent has a variety of responsibilities in the insurance industry, as noted below:
1) An insurance agent assists customers in promoting and selling insurance products and services.
2) Providing consumers with solid financial advice and personal service
3) Desires to work with individuals and their families and businesses.
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The points I, J, K and L all lie on the same line segment, in that order, such that the ratio IJ:JK:KL is equal to 2:5:5 IfIL=60, find KL.
By definitions of collinearity and line segment, the length of the line segment KL is equal to 25 units.
What is the length of a line segment within another line segment?
In this problem we find four points that are collinear, that is, that lie in the same line. Therefore, there are three consecutive line segments: IJ, JK and KL, whose ratios are known. From the statement, we derive the following formula for KL:
KL = (5 / 12) · IL
KL = (5 / 12) · 60
KL = 25
The length of the line segment KL is equal to 25 units.
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Which of the following statements is true?
3/4 > 3/5
3/7 > 3/5
12/25 > 3/5
30/100 > 3/5
Answer:
3/4 > 3/5 is true.
Hope this helps :)
Explanation and Check below.
Step-by-step explanation:
1. To compare fractions with the same numerators, look at the denominators and the greater one is the smaller number.
2. To compare fractions with the same denominator, look at the numerator and the answer will be the bigger number.
3. To compare fractions with different denominators, find the Least Common Multiple (LCM).
3/4 > 3/5 ✓
3/7 > 3/5 ✘
12/25 > 3/5 = 12/25 > 15/25 ✘
30/100 > 3/5 = 30/100 > 60 ✘
There are three sections of College Algebra at Stellar
University. Section B has twice as many students as section A
has. Section C is has greater than or equal to the number of
students enrolled in section A plus B.
If there are 24 students in section C, what is the maximum
number of students that could be in section A?
Answer:
8 students
c>=A+B
b=2a
24<=C
If the two lines below are perpendicular and the slope of the red line is -,
what is the slope of the green line?
-5
01
A
5
5
We get that the slope of the green line will be 2 / 5 when it is perpendicular to the red line.
We are given that the red line is perpendicular to the green line.
Also, we are given that the slope of the red line is - 5 / 2
m₁ = - 5 / 2
Now, we need to find the slope of green line.
Let the slope of the green line be m₂
We know that, when the lines are perpendicular, then the relationship between their slopes is given by:
m₁ × m₂ = - 1
Substituting the values, we get that:
- 5 / 2 × m₂ = - 1
m₂ = - 1 × - 2 / 5
m₂ = 2 / 5
Therefore, we get that the slope of the green line will be 2 / 5 when it is perpendicular to the red line.
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In the figure below, points Y, S, R, and Q lie in plane P.
Points T and X do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
P
R
S
P
(a) S, , and
(b) TX and 0
are distinct points that are collinear.
are distinct lines that intersect.
(c) Point Y and line are coplanar.
(d) Another name for plane P is plane
a. S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
What are Coplanar Lines?If two lines are lie on the same plane, they are referred to as coplanar lines.
a. S, R, and Q are on a straight line. Therefore:
S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest tenth of a percent. Original: 90 New: 160
Answer:
Since the quantity started at 90 and then changed to 160, there was clearly an increase in its value.
Step-by-step explanation:
Complete the statement 7 divide by blank
=56
Based on the statement given, the completion of the statement is 7 divided by 1/8 = 56.
What divides 7 to give 56?The statement is asking for the number that would divide 7 such that the result of this division would be 56.
Assuming the number is x, the formula would be:
7/x = 56
Here, x would be the mystery number that would divide 7 to give 56.
Solving for x is:
7/x = 56
7 = 56x
x = 7/ 56
x = 1/8
In conclusion, when 7 is divided by 1/8, it gives 56.
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Use the equation y=5/2 x to complete the table. What is the value of A?
we need the table to answer the question
1190 1172 1217 1207 1197
1202 1197 1168 1204 1189
1185 1191 1198 1185 1183
1205 1207 1197 1201 1225
1172 1208 1187 1197 1179
1231 1208 1211 1205 1194
1210 1250 1217 1177 1221
1185 1177 1202 1221 1204
1182 1204 1218 1194 1198
1187 1198 1198 1183 1227
Use this data for problems 1 thru 4.
1. Calculate the mean, median and mode of this data.
Mean=1199.3
Median=1797
Mode=1197
2. Calculate the Coefficient of skewness of the data using Pearson’s formula. Is the data skewed?
Yes it positively skewed because the mean is greater than the mode. -112.238
3. What is the range of the above data?
82
4. What is the standard deviation of the data. Assume it is a sample.
STANDARD deviation=15.97593
For the given data-set, we have that:
1. The mean is of 1199.3, the median is of 1198 and the distribution is bimodal, with 1197 and 1198 as modes.
2. The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.
3. The range is of 82.
4. The standard deviation is of 16.47.
What are the mean, the standard deviation, the range, the median and the mode of a data-set?The mean of a data-set is given by the sum of all the observations in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.The range is the difference between the maximum value and the minimum value of the data-set.The median is the middle value of the data-set, the value which 50% of the data-set is smaller than and 50% of the data-set is greater than.The mode is the value that appears the most times in the data-set.Using a calculator, which just applies the concepts explained above, as the data-set is too large, the measures are given as follows:
Mean: 1199.3.Median: 1198.Mode: 1197 and 1198. (each appeared 4 times).Range: 82 (difference between 1250 and 1168).Standard deviation: 16.47.What is the Pearson's Skewness Coefficient?The Pearson Skewness Coefficient is given by:
P = 3(Mean - Mode)/Standard Deviation
The meaning of the coefficient is:
If the coefficient is positive, the distribution is right skewed.If the coefficient is negative, the distribution is left skewed.If the coefficient is close to 0, the distribution is bell shaped.For this problem, the coefficient is given by:
P = 3(1199.3 - 1198)/16.48 = 0.24.
The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.
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A choir bakes and sells cookies to raise money for their end-of-year production. Lin sells 3 times as many cookies as Noah. Jada sells 5 more cookies than Lin. Elena sells 7 more cookies than Jada. Diego sells 4 fewer cookies than Noah, and Andre sells twice as many as Diego. If the six students sold 317 cookies, write and solve an equation to determine how many cookies Noah sold.
The equation used to determine how many cookies Noah sold is 317 = 13n + 5 where number of cookies Noah sold is 24
EquationTotal cookies sold = 317Noah = nLin, l = 3nJada, j = 5 + 3nElena, e = 7 + (5 + 3n)Diego, d = n - 4Andre, a = 2(n - 4)Total = Noah + Lin + Jada + Elena + Diego + Andre
317 = n + 3n + (5 + 3n) + {7 + (5 + 3n)} + (n - 4) + {2(n - 4)}
317 = n + 3n + 5 + 3n + 7 + 5 + 3n + n - 4 + 2n - 8
317 = 13n + 5
317 - 5 = 13n
312 = 13n
divide both sides by 13n = 312 / 13
n = 24 cookies
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Pls help
Solve for y.
–4|y| − 1 = –13
Answer:
3
Step-by-step explanation:
-4|3| -1 = -13
-12 -1 = -13
-13 = -13
Answer:
3
Step-by-step explanation:
-4|3| -1 = -13
-12 -1 = -13
-13 = -13
Triangle ABC is shown on the grid.
What is the perimeter of triangle ABC?
9 + units
9 + units
9 + units
9 + units
(C) The perimeter of the ΔABC is 9 + √41 units.
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
The vertices of the triangle on the girds are A( - 1, 5 ), B( 4, 5 ), and C( - 1, 1 ).
The distance formula for the length of a line segment is given as:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore,
[tex]AB=\sqrt{(4-(-1))^2+(5-5)^2}=\sqrt{(4+1)^2+0}=5[/tex]
[tex]BC=\sqrt{(-1-4)^2+(1-5)^2}=\sqrt{(-5)^2+(-4)^2}=\sqrt{25+16}\\BC=\sqrt{41}[/tex]
[tex]AC=\sqrt{(-1-(-1))^2+(1-5)^2}=\sqrt{(-1+1)^2+(-4)^2}\\AC=\sqrt{0+16}=4[/tex]
Hence, the length of the sides of the triangle are [tex]5,\sqrt{41},4[/tex] units.
Now, the perimeter of a triangle is the sum of all three sides of the triangle.
Therefore, the perimeter of the triangle ABC is:
P = AB + BC + AC
P = 5 + √41 + 4
P = 9 + √41 units
Therefore, the perimeter of ABC is 9 + √41 units.
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The complete question is mentioned below:
Triangle ABC is shown on the grid.
What is the perimeter of triangle ABC?
(A) 9 + √21 units
(B) 9 + √29 units
(C) 9 + √41 units
(D) 9 + √61 units
solve 2(x + 3)=-4(x+1) for x
[tex]\boxed{\begin{minipage}{5cm}\sf{2(x+3)=-4(x+1)}\\\sf{2x+6=-4x-4}\\\sf{6x+6=-4}\\\sf{6x=-10}\\\sf{x=-10/6}\\\sf{x=-5/3}\end{minipage}}[/tex]
without using tables solve for x in: Log10(x²+4)=2+Log10x-Log10 20
The value of x for a given logarithm is 49.9.
Log10(x²+4)=2+Log10x-Log10 20=
x = 49.9
2 = log10( 100)
so we have
log10( x [tex]\times[/tex]2 4) = log10( 100) log10( x)- log10( 20).
factor out log10 from RHS.
also log10( [tex]x[/tex] x 2 4) = log10( 100x/ 20).
log10 cancel log10.so, break the quadratic equation after simplification to have x = 49.9 or0.080
That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to produce x. In the most the logarithm counts the number of times the same factor appears in repeated addition; for illustration, since 1000 = 10 10 10 = 103, the" logarithm base 10" of 1000 is 3, or log10( 1000) = 3. When no mistake is conceivable, or when the base does not important, the logarithm of x to base b is expressed as logb( x), without logb x, or indeed without the base, logx.
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2. The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).
Parker states that quadrilateral ABCD is a parallelogram. Prove or disprove Parker's statement.
The given quadrilateral is not a parallelogram.
According to the statement
We have to find that the whether the quadrilateral is a parallelogram or not.
So, For this purpose, we know that the
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
From the given information:
The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).
Then
To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.
So,
Midpoint of AC = Midpoint of BD
Midpoint of A(-6,-1),C(-1.-5) = Midpoint of B(-5,2),D(0.-2)
( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)
( -7/2 , -6/2) = (-5/2 , 0/2)
And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.
So, The given quadrilateral is not a parallelogram.
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The lengths of the four sides of a quadrilateral (in meters) are consecutive integers. If the perimeter is 42 meters, find the value of the longest of the four side lengths.
The four sides of the quadrilateral are 9 m,10 m, 11 m and 12 m.
What is a quadrilateral?
A quadrilateral is a four-sided polygon with four angles and four vertices. The term "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."
Let the four sides of the quadrilateral be (x-2), (x-1), x, (x+1).
Then, perimeter = (x-2) + (x-1) + x + (x+1)
i.e., x - 2 + x - 1 + x + x + 1 = 42
i.e., 4x - 2 = 42
i.e., 4x = 42 + 2
i.e., 4x = 44
i.e., x = 11
Hence, the four sides of the quadrilateral are 9 meters, 10 meters, 11 meters and 12 meters.
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Find the distance of segment NP given its two endpoints: N(8, 14) and P(-21, -39).
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{8}~,~\stackrel{y_1}{14})\qquad P(\stackrel{x_2}{-21}~,~\stackrel{y_2}{-39})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{(~~-21 - 8~~)^2 + (~~-39 - 14~~)^2} \implies NP=\sqrt{( -29 )^2 + ( -53 )^2} \\\\\\ NP=\sqrt{ 841 + 2809 } \implies NP=\sqrt{ 3650 }\implies NP\approx 60.42[/tex]
What is the solution set for 7x − 3 =18, given the replacement set {0, 1, 2, 3, 4}?
x = 0
x = 1
x = 2
x = 3
x = 4
Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−3=18
Step 1: Add 3 to both sides.
7x−3+3=18+3
7x=21
Step 2: Divide both sides by 7.
7x/7 = 21/7
x=3
Marcellus's lawn is 4/5 of an acre. If 10 1/2 pounds of fertilizer are needed for 2 acres, how many pounds will he need to fertilize his lawn.
Based on the area of Marcellus's lawn, the number of pounds of fertilizer needed for Marcellus's lawn is 4 ¹/₅ pounds
How much fertilizer is needed?In order to fertilize an area of 2 acres, the number of pounds of fertilizer needed is 10 ¹/₂ pounds.
The area of Marcellus's lawn is only 4/5 of an acre however so to find the pounds of fertilizer needed, use direct proportion:
2 acres : 10 ¹/₂ pounds
4/5 acres : x
2x = 8.4
x = 8.4 / 2
x = 4.2 pounds
= 4 ¹/₅ pounds
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4 tablets each day 28 day supply with 55 tablets per bottle how many bottles are needed and how many additional tablets
Answer:
Approximately 3 bottles
Step-by-step explanation:
28*4 = 112 tablets in a month
122/55 = 2.218 bottles
Basically, you will need to buy 3 bottles.
A bookstore manager purchased a case of
40 paperback books and a display stand
that cost $8.00. He paid $108.00 for the
total purchase. If each book cost the same
amount, how much did he pay per book?
A
B
C
D
$0.34
$2.50
$2.70
$100.00
The average (or mean) annual rainfall for Bramford, Ohio is 51 inches, and the rainfall for last year was 29 inches. What is the change in rainfall between the rainfall last year and the average (or mean) annual rainfall?
The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches
What is the change in rainfall between the rainfall last year and the average (or mean) annual rainfall?The given parameters are
Average annual rainfall = 51 inches
Last year = 29 inches
The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is calculated as
Change = |Annual rainfall - Last year|
This gives
Change = |51 - 29|
Evaluate
Change = 22
Hence, the change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches
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Find the equation of the line using the given information. The slope is undefined and it passes through the point (x, y) = (8, 6).
Answer:
x= 8
Step-by-step explanation:
Vertical lines have undefined slopes, with an equation of x= ____. This is because when using the slope formula, the denominator would be a zero. The coordinates of points that lie on a vertical line have the same y-coordinate, but different x-coordinate value.
Given that the line passes through (8, 6), the line has an equation of x= 8.
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