The next number in the sequence is 47, 1, and 27.
What is a number series?
A series of numbers is called a number series. We must identify the rules that lead to the formation of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
One possible pattern in this sequence is that each number is the reverse of the sum of the digits of the previous number, followed by the next odd number. Applying this pattern to the given sequence, we have:
The reverse of 63 is 36. The sum of the digits of 63 is 6 + 3 = 9. Therefore, the next number is 36 + 9 = 45, followed by the next odd number, which is 47. So the next number is 47.
The reverse of 00 is 00. The sum of the digits of 00 is 0 + 0 = 0. Therefore, the next number is 00 + 0 = 0, followed by the next odd number, which is 1. So the next number is 1.
The reverse of 22 is 22. The sum of the digits of 22 is 2 + 2 = 4. Therefore, the next number is 22 + 4 = 26, followed by the next odd number, which is 27. So the next number is 27.
Therefore, the next number in the sequence is 47, 1, 27.
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Write the equation of the circle in standard form
X^2+y^2-8x-6y+16=0
Show work
The equation of the circle x² + y² - 8x - 6y + 16 = 0 in standard form is (x - 4)² + (y - 3)² = 3².
What is the equation of the circle in standard form?Given the equation of the circle ;
x² + y² - 8x - 6y + 16 = 0
To write the equation of a circle in standard form, we need to express it as:
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
To do this, we need to complete the square for both x and y terms in the given equation.
Starting with the x terms:
x² - 8x = x² - 8x + 16 - 16
= (x - 4)² - 16
Similarly, for the y terms:
y² - 6y = y² - 6y + 9 - 9
= (y - 3)² - 9
Substituting these results into the original equation, we get:
x² + y² - 8x - 6y + 16 = 0
(x - 4)² - 16 + (y - 3)² - 9 + 16 = 0
Simplifying, we get:
(x - 4)² + (y - 3)² - 9 = 0
(x - 4)² + (y - 3)² = 9
So the equation of the circle in standard form is:
(x - 4)² + (y - 3)² = 3²
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A square with side s has area s to the 2nd power. Brandon uses a square mat when he practices karate. The mat is 11 feet on each side.
Answer:
Step-by-step explanation:
i assume you mean that the mat is 11 feet on each side so
area = s*s(or S^2)
so 11*11=121feet sq
Draw and determine the equation of a trend line that modles the data set (1, 27.5), (4,35), (7,42.5), (10, 50), (13, 57.5)
Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:
(1, 27.5) ●
(4, 35) ●
(7, 42.5) ●
(10, 50) ●
(13, 57.5) ●
We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.
Using a calculator or software, we can find that the equation of the trend line is:
y = 3.5x + 24
This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.
We can plot the trend line on the same graph as follows:
|
60 |-●-
| |
55 |-●-----
| |
50 |-●-------
| |
45 |-●--------
| |
40 |-●----------
| |
35 |-●------------
| |
30 |-●--------------
| |
25 |-●-----------------
| |
--------------------
1 4 7 10 13
The dots represent the original data points, and the line represents the trend line.
Step-by-step explanation:
I need help please anyone ?!!!!?
Answer:
b
Step-by-step explanation:
3 + 3 = 6 lol
6 how many apples
A triangle has vertices x(2,1), y(5,4), z(5,1). What is the base and height of the triangle
Answer:
The base is XZ and the height is ZY.
The measure of base is: 3 Units
The measure of Height is: 3 Units
Step-by-step explanation:
The explaination is given in the pictures...
The length of a wall in a computer classroom is 15 metres. How many computer desks can be placed side-by-side along the wall if the desk has a length of 70cm and a breadth of 40cm
There will be 21 computer workstations that may be arranged side by side along the wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number of computer desks that can be placed side-by-side along the wall is calculated as,
⇒ (15 x 100) / 70
⇒ 1500 / 70
⇒ 21.42
There will be 21 computer workstations that may be arranged side by side along the wall.
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Can someone help me find X?? Please Help IXL is so difficult ive been doing this for 4 hours.
The value of x is 47 from the given figure.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
The sum of angles is 180 degrees from the figure.
x-2+x-2+x-2+x-2=180
Add the like terms
4x-8=180
Add 8 on both sides
4x=188
Divide both sides by 4
x=188/4
x=47
Hence, the value of x is 47 from the given figure.
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PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
The coordinates after the rotation are:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
What are the coordinates after the rotation?By looking at the diagram, we can see that the mapings of the rotation are:
R → M
U → N
T → P
S → Q
We know this by looking at the orientation of the figures and by knowing how a rotation works.
So the cordinates after the rotation are the ones of these points, we can use the graph to find them:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
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Write a verbal sentence to represent 5n/n+3=n-8
For this equation our term is root of -24
What is verbal sentence ?
Verbal sentences consist of a verb + subject + object or adverbial phrase. The subject and object can be either nouns or pronouns.
After solving the equation we get square of n which is equal to three times of eight
If the subject is a pronoun, it is always a suffix; and if the object is pronoun, it is always a dependent pronoun. When the subject is a pronoun, the word order is normal, meaning that the subject follows the verb and precedes the object.
If the subject is a noun and the object is a dependent pronoun, the pronoun object is before the noun subject.
The dative has a special place in the word-order of verbal sentences. It is expressed by the preposition n in addition to a noun or pronoun referring to a person, if the subject is a pronoun. It assumes a third place following the verb and its subject. However, if the subject is a noun, the dative is allocated a forward position and occurs before the subject.
If the subject is a noun and the object is a pronoun and the sentence consists of a dative, the word order is thus:
Verb + dative + dependent pronoun (object) + subject
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Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each
section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40
students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college
$29,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $298,000
in revenues, how many sections of each course should it offer?
Finite Math
Applied Calculus
Computer Methods
Need Help?
Read It
section(s)
section(s)
section(s)
Watch It
Answer:
Step-by-step explanation:
Let's use the following variables:
Let F be the number of sections of Finite Math
Let A be the number of sections of Applied Calculus
Let C be the number of sections of Computer Methods
We can create a system of equations based on the given information:
F + A + C = 7 (the college wishes to offer a total of seven sections)
40F + 60A + 290C = 298000 (the college wishes to bring in $298,000 in revenues)
40F + 40A + 10C = 220 (the college wishes to accommodate 220 students)
We can solve this system of equations using any method we prefer. Here's one possible way:
Multiply the third equation by 10 to get:
400F + 400A + 100C = 2200
Subtract the third equation from the second equation to eliminate C:
20A + 280C = 76000
Multiply the first equation by 40 and subtract it from the previous equation to eliminate A:
240C = 76000 - 1600
Solve for C:
C = 290
Substitute C = 290 into the third equation to solve for F:
40F + 40A + 10(290) = 220
40F + 40A = -2680
F + A = -67
Substitute C = 290 and F + A = -67 into the first equation to solve for A:
A = 10
Substitute A = 10 and C = 290 into the first equation to solve for F:
F = -3
We have a problem here: we obtained a negative number of sections for Finite Math, which is impossible. This means that the original system of equations is inconsistent, and there is no solution that satisfies all the requirements.
Therefore, the college cannot offer the desired number of sections while accommodating the desired number of students and revenue. Some adjustments need to be made, such as changing the number of students per section or the tuition fees.
[tex]7x + 3y = 13 \\ 2x - 3y = - 4 [/tex]
how can i solve them simultaneously?
use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
Answer:
Step-by-step explanation:
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
69 and 5.6 x 10^5 expressed in scientific notation
The product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
Describe Scientific Notation?Scientific notation, also known as standard form, is a way of writing very large or very small numbers in a concise and convenient way. It expresses a number as the product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10.
The general form of a number written in scientific notation is:
a × 10^n
where a is the coefficient, and n is an integer exponent that indicates the number of places the decimal point must be moved to obtain the original number.
To multiply numbers in scientific notation, we multiply their coefficients and add their exponents.
69 x 5.6 x 10⁵ = (6.9 x 10¹) x (5.6 x 10⁵)
= (6.9 x 5.6) x 10¹⁺⁵
= 38.64 x 10⁶
= 3.864 x 10⁷ (in scientific notation)
Therefore, the product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
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The complete question is :
a candidate is contesting for both national and provincial seats.
(A)what is the probability that he'll win both seats.
(B)what is the probability he'll loose both seats.
(C)what is the probability he'll win one seat.
A. The probability that he'll win both seats is 0.48.
B. The probability he'll loose both seats is 0.52.
C. The probability he'll win one seat is 0.92.
What is probability?The probability of an event is calculated using the mathematical notion of probability. We can only use it to determine the likelihood that an event will occur. On a scale from 0 to 1, where 0 denotes impossibility and 1 denotes a specific occurrence.
We are given that a candidate is contesting for both national and provincial seats.
Event A = Winning national seat
Event B = Winning provincial seat
A. The probability that he'll win both seats is
P(A) × P(B) = 0.8 × 0.6 = 0.48
B. The probability he'll loose both seats is
1 - 0.48 = 0.52
C. The probability he'll win one seat is
Probability = 0.8 + 0.6 - 0.48
Probability = 0.92
Hence, the required probabilities have been obtained.
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Question: a candidate is consisting for both national and provincial assembly seats. the probability that he will win the national seat is 0.8 and will win the provincial seat is 0.6. what is the probability that
a) he will win both seats
b) he will lose both the seats
c) he will win at least one seat
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. What is the best predicted value for y given x=41? Assume that the variables x and y have a significant correlation.
X= 38 41 45 48 51 53 57 61 65
Y= 116 120 123 131 142 145 148 150 152
The solution is : the predicted blood pressure for a person aged 64 will be : 156.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ; ax^2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution.
here, we have,
Given the data:
Age (X) :
38
41
45
48
51
53
57
61
65
Pressure(Y) :
116
120
123
131
142
145
148
150
152
From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :
The regression equation obtained is :
y = 1.48769X + 60.46103
Using the model, the predicted blood pressure for a person aged 64 will be :
y = 1.48769(64) + 60.46103
y = 95.21216 + 60.46103
y = 155.67319
y = 156 (nearest whole number)
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The best predicted value of y for the given x=41 is 121.45.
What is the correlation coefficient?The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.
Given that,
X= 38 41 45 48 51 53 57 61 65
Y= 116 120 123 131 142 145 148 150 152
∑x= 459
∑y= 1227
∑x²= 24059
∑y²= 168843
∑xy= 63544
Sxx= ∑x²-∑x²/n
= 24059-459²/9
= 650
Sxy = ∑xy-(∑x·∑y)/n
= 63544-(459×1227)/9
= 63544-62577
= 967
Now, slope =967/650= 1.488
Mean of x=459/9 =51
Mean of y=1227/9 = 136.33
Now, intercept is b=136.33-(1.488×51)
= 60.442
Here, the equation of a line is y=1.488x+60.442
When x=41, we get
y=1.488×41+60.442
y= 121.45
Therefore, the best predicted value of y is 121.45.
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Which of these areas is getting the least precipitation?
Answer:
A. Lancaster
Lancaster is on the edge of the yellow area.
Which statement best describes discretionary government spending?
Back
A. A fixed amount of money spent on the same categories every year
B. The money used to pay for Social Security and Medicare
C. A changing amount of money spent on different categories each year
D. Money that you determine how it is spent by the government when you submit your taxes
Select an answer
C. A changing amount of money spent on different categories each year
What is amount?Amount is a term used to describe a quantity of something, typically money. It is often used to refer to the total value of a financial transaction or the sum of multiple payments. Amount can also refer to any other quantifiable measure, such as a number of items, units of time, or a volume or quantity of something.
Discretionary government spending is a type of government spending that is determined each year by the Congress, and typically includes funds for defense, education, infrastructure, and other government programs. The amount of money spent on each category can vary from year to year, making it a type of changing, or discretionary, spending.
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Mary has $250 to spend. She buys gift cards for $130. She will use the rest of the money
to buy candy bars that cost $1.50 each. Which inequality can be used to find the greatest
number of candy bars she can buy with the rest of the money?
A. 130x+1.50 ≥250
B. 130x +1.50 ≤ 250
C. 130 +1.50x ≥ 250
D. 130 +1.50x ≤ 250
Answer:
Let's start by finding how much money Mary has left after buying the gift cards:
$250 - $130 = $120
Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:
$120 ÷ $1.50 = 80
So Mary can buy up to 80 candy bars with the rest of her money.
We can check which inequality represents this situation by plugging in the numbers:
130 + 1.50x ≤ 250
where x represents the number of candy bars Mary buys.
If we subtract 130 from both sides, we get:
1.50x ≤ 120
Finally, if we divide both sides by 1.50, we get:
x ≤ 80
This matches our answer, so the correct inequality is:
D. 130 +1.50x ≤ 250
Answer:
D. 130 +1.50x ≤ 250
Step-by-step explanation:
250 - 130 = 120
1.50x = 120
To display charts and other educational material, your teacher has requested that
two rows of strips be placed around the entire room. What is the total length of strips
that is required? (Show how you arrive at your answer)
If to display charts and other educational material, your teacher has requested that two rows of strips be placed around the entire room. the total length of strips is: 4L + 4W.
How to find the length?To find the total length of strips required, we need to know the dimensions of the room. Let's assume that the room has a length of L and a width of W.
If we place two rows of strips around the entire room, one at the top and one at the bottom, the length of each strip will be equal to the perimeter of the room.
The perimeter of the room can be calculated as:
P = 2L + 2W
So, the length of strips required for one row around the room will be:
L1 = P = 2L + 2W
Since we need two rows of strips, the total length of strips required will be:
L2 = 2L1 = 2(2L + 2W) = 4L + 4W
Therefore, the total length is 4 times the length of the room plus 4 times the width of the room.
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The volume of the right cone below is 1152\piπ units^3
3
. Find the value of x.
x
12
The volume of the right cone below is 1152π/3 cubic units then the value of x is 24.
What is the volume of a right circular cone?The volume of a right circular cone is given by the formula:
V = (1/3)πr²h
where π is pi (approximately equal to 3.14), r is the radius of the circular base, and h is the height of the cone.
In this problem, we are given that the volume of the cone is 1152π/3 cubic units and that the value of x is related to the radius and height of the cone.
Let's first write the formula for the volume of the cone in terms of x:
V = (1/3)π(x/3)²(x/3)
Simplifying this expression, we get:
V = (1/27)πx²
We are given that V = 1152π/3, so we can substitute this into the formula above and solve for x:
1152π/3 = (1/27)πx³
Multiplying both sides by 27/π, we get:
x³ = 1152*27/3
x³ = 27648
Taking the cube root of both sides, we get:
x = 24
Therefore, the value of x is 24.
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1. You work at a department store that needs at least 4200 labor hours covered per week. It employs full-time staff 40 hours per week and part-time staff 25 hours per week. The cost to employ a full-time staff member is more because the company pays benefits such as health care and life insurance
Full-time
Part-time
Hours per Week Cost per Hour
40 hr
$25
25 hr
$18
The store manager also knows that to make the store run efficiently, the number of full-time employees must be at least 1.25 times the number of part-time employees. You have been asked to help the store manager determine the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
a. Clearly define the variables in this problem.
b. Clearly state the constraints (all inequalities) related to the feasible region.
c. State the objective function.
d. Use the graphical method to
solve: Graph the solution region, showing the intercepts used. Label axes, units, points, and lines. Find and label all corner points. The grid for the graph is on the next page.
Show all necessary work.
e. In a complete sentence, state the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)
What are the variables in this problema. Let x be the number of full-time employees and y be the number of part-time employees.
b. The constraints are:
Full-time employees work 40 hours per week, so the total number of full-time labor hours used must be at least 40x.Part-time employees work 25 hours per week, so the total number of part-time labor hours used must be at least 25y.The total number of labor hours used must be at least 4200: 40x + 25y ≥ 4200The number of full-time employees must be at least 1.25 times the number of part-time employees: x ≥ 1.25yThe number of full-time and part-time employees must be non-negative: x ≥ 0 and y ≥ 0c. The objective function is to minimize the weekly labor cost, which is given by:
Cost = 25x + 18y
d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:
Convert the inequality to an equation: 40x + 25y = 4200Solve for y: y = (4200 - 40x)/25 = (168 - 1.6x)Plot the y-intercept: (0, 168)Plot the x-intercept: (105, 0) (found by setting y = 0 and solving for x)Draw the line passing through the two intercepts.Next, we can graph the inequality x ≥ 1.25y as a line:
Convert the inequality to an equation: x = 1.25yPlot two points on the line: (0, 0) and (0, 0) (found by setting y = 0 and x = 0 respectively)Draw the line passing through the two points.The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:
To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:
40x + 25y = 4200 and x = 0 (y-axis intercept) --> (0, 168)40x + 25y = 4200 and y = 0 (x-axis intercept) --> (105, 0)x = 1.25y and y = 0 (x-axis intercept) --> (0, 0)x = 1.25y and 40x + 25y = 4200 --> (84, 67.2)Now we can evaluate the objective function at each of the corner points:
(0, 0): Cost = 0(0, 168): Cost = 25(0) + 18(168) = 3024(105, 0): Cost = 25(105) + 18(0) = 2625(84, 67.2): Cost = 25(84) + 18(67.2) = 2616Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).
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If Leroy made 9 more penalty kicks than he missed, how many penalty kicks did he make?
Answer:
it is impossible to know
A tunnel connecting two portions of a space station has a circular cross-section of radius 15 feet. Two walkway decks are constructed in the tunnel. Deck A
is… A tunnel connecting two portions of a space station has a circular cross-section of radius 15 feet. Two walkway decks are constructed in the tunnel. Deck A is along a horizontal diameter and another parallel Deck B is 2 feet below Deck A. Because the space station is in a weightless environment, you can walk vertically upright along Deck A, or vertically upside down along Deck B. You have been assigned to paint "safety stripes" on each deck level, so that a 6 foot person can safely walk upright along either deck. Determine the width of the "safe walk zone" on each deck
Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.
What is maximum height?Maximum Height refers to the vertical distance between the Reference Level and the highest point of a building's roof surface, including parapet walls, mechanical equipment installed on the roof, authorised Signage, and other permissible projections of any type.
The equation of the given circular space station is:
[tex]x^2 + y^2 = 15^2\\\\x^2 + y^2 = 225[/tex]
Given that, a 6-foot person can walk through the circular station.
Substitute the value of y = 6.
[tex]x^2 + 6^2 = 225\\\\x^2 = 225 - 36\\\\x = \sqrt{189}\\ \\x = \pm 13.74[/tex]
Also, Deck B is 2 feet below deck A thus,
[tex]x^2 + 8^2 = 225\\\\x^2 = 225 - 64\\\\x = \sqrt{161}\\ \\x = \pm 12.68[/tex]
Hence, for Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.
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Eight students in Ms. Reese's class decided to purchase their textbook from two different sources. Some of the students purchased the textbook from the colleg
bookstore for $16.50. The rest of the students purchased the textbook from an online discount store for $11.00 per book. If the total amount spent by the eight
students is $121.00, how many students purchased the book online?
students purchased the book online.
If the total amount spent by the eight students in Ms. Reese's class is $121.00, using a system of equations, the number that purchased from the:
College Bookstore = 6Online = 2.What is a system of equations?A system of equations is two or more equations solved at the same time or concurrently.
It is also known as simultaneous equations.
The total number of students in Ms. Reese's class who decided to purchase their textbook from two different sources = 8
The unit cost per textbook from the college bookstore = $16.50
The unit cost per textbook from an online discount store = $11.00
The total spending by the eight students = $121.00
Let the number of students who purchased from the college bookstore = x
Let the number of students who purchased from an online discount store = y
Equations:x + y = 8 …Equation 1
16.5x + 11y = 121 …Equation 2
Multiply Equation 1 by 11:
11x + 11y = 88 …Equation 3
Subtract Equation 3 from Equation 2:
16.5x + 11y = 121
-
11x + 11y = 88
5.5x = 33
x = 6
Substitute x = 6 in either equation:
x + y = 8
6 + y = 8
y = 2
Thus, 6 students purchased their textbooks from the college bookstore while 2 purchased online.
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Which of these correctly expresses the system of equations in standard form
Equations that correctly expresses the system of equations in standard form are x + y = 22 and 3x + 4y = 76.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given,
Cost of blue sea shells = $3
Cost of pink sea shells = $4
Cost of 22 sea shells = $76
Let number of blue sea shells is x and number of pink sea shells is y
then number of total shells
x + y = 22
Cost of shells
3x + 4y = 76
Hence, x + y = 22 and 3x + 4y = 76 are the equations that correctly expresses the system of equations in standard form
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Use synthetic division to evaluate for the indicated x value.
--x³-2; f (5)
f (5)
=
We can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
What is expression?An expression is a term made up of both constants and variables.
Given is the function as -
f(x) = - x³ - 2
We can write f(5) as -
f(5) = - (5)³ - 2
f(5) = - 125 - 2
f(5) = - 127
Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
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Elsa menabung uang di bank sebesar Rp.2.000.000,00. Apabila ia mendapat bunga 0,5% perbulan, berapa jumlah uang tabungan di bank selama 10 bulan?
Answer:
Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:
A = P(1 + r)^n
dimana:
A = jumlah uang tabungan akhir
P = jumlah uang tabungan awal
r = tingkat bunga per bulan (dalam desimal)
n = jumlah bulan
Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.
Maka,
A = 2.000.000(1 + 0,005)^10
= 2.000.000(1,005)^10
= 2.000.000(1,0512)
= Rp.2.102.400,00
Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.
Step-by-step explanation:
Which step is incorrect?
Answer:
c step 3
Step-by-step explanation:
from the correct x^(2/5) do we suddenly get to
x^(5/2).
1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).
the correct step 3 is then
x^(2/5)x^(-3)
step 4 is then
x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5
Pencil boxes cost $15 each. Calculators cost $24 each. Kelly bought a total of 100 pencil boxes and calculators for $2130. How many pencil boxes did she buy?
Answer:
Step-by-step explanation:
Kelly bought a total of 1500 pencil boxes.
5 students want pancakes and 13 students want waffles. What is the ratio of the number of students who want pancakes to the total number of students?
Answer: 5/18. or 5 over 18
Step-by-step explanation:
5 is the number of kids that want pancakes
13 is the number of kids that want waffles
18 is the total number of students
The question is asking what is the ratio of the number of students who want pancakes to the total number of students?
So you just do
5 kids that want pancakes over 18 kids total or 5/18
Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 10 inches and height of 7 inches.
Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.
V equals 355 over 113 times 5 squared times 7
V equals 355 over 113 times 7 squared times 5
V equals 355 over 113 times 7 squared times 10
V equals 355 over 113 times 10 squared times 7
The correct method to calculate the number of cubic units(volume) of cake batter needed to fill the mold is option (a) , i.e V equals 355 over 113 times 5 squared times 7.
What is mensuration?Mensuration is the branch of mathematics concerned with the study of various geometric shapes, their areas and volumes. In a broad sense, it is about the process of measurement. Measurement is a branch of mathematics. That is measurement.
Solution:
Given, Diameter = 10 inches
Radius = 5 inches
Height = 7 inches
Volume of cylinder = πr²h
= (355/113)×5²×7
= 3.14×25×7
= 549.77 inches³
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