A popular kid's game has 15 tiles and 1 open space. The goal of the game is to rearrange the tiles to put them in order (from least to greatest, starting at the upper left-hand corner and going across each row). Use the figure to write the transformation(s) that describe the path of where the 8 tile is currently, and where it must be by the end of the game. Can this same translation be used to describe the path of all the tiles?
Answers
The translation that describe the path of the 8 tile to reach it's final position is given as follows:
(x,y) -> (x + 3, y - 1).
This same translation cannot be used to describe the path of all tiles, as some will move up, some down, some left and some right, but the movement is not the same for all tiles.
What are the translations?There are four translations that are standard, and their rules are defined as follows:
Translation left a units: (x,y) -> (x - a, y).Translation right a units: (x,y) -> (x + a, y).Translation up a units: (x, y) -> (x, y + a).Translation down a units: (x,y) -> (x, y - a).The tiles will be placed in order, meaning that the tile number eight should be the second row and fourth column.
As the tile with the number eight is at the first row and the first column, the movements are given as follows:
3 units right: x -> x + 3.1 unit down: y -> y - 1.Hence the compound translation is given as follows:
(x,y) -> (x + 3, y - 1).
This, however, cannot be used for all the points, as some of them, for example 5 and 6, are already in their final position, while the movement for tile 1 is 2 units up.
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Related Questions
which expression is equal to (V3+i)^3?
Answers
The simplified form of the given expression is (V³+i)³ = V⁹ + 3iV⁶- 3V³ - i.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
The expression is given in the question as:
(V³+i)³
The expression (V³+i)³ can be simplified using the identity:
(a+b)³ = a³ + 3a²b + 3ab² + b³
Substituting V³ and i for a and b, respectively, and Multiply the real and imaginary numbers gives:
(V³+i)³ = V⁹ + 3V⁶i + 3V³i² + i³
Reduce the imaginary units using the property i² = -1
(V³+i)³ = V⁹ + 3iV⁶- 3V³ - i
This is the final simplified form of the expression.
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Which is the wrong one highlighted ?
Answers
Answer:
First step
Step-by-step explanation:
The right one is
[tex] {10}^{2} - {1}^{2} = 99 \\ \sqrt{99} = 3 \sqrt{11} [/tex]
If you have problems with mathematics you can text me if you want
What is data or other facts gathered to test an idea?
Answers
Data or other facts gathered to test an idea are called evidence. Evidence is information that is collected and analyzed to support or refute a hypothesis or theory.
It can come in many forms such as observations, measurements, or statistics, and it can be qualitative or quantitative in nature. The purpose of gathering evidence is to evaluate the validity and reliability of an idea or theory by testing it against the facts.
Evidence-based decision-making is the process of using the best available evidence to inform decisions. The goal of evidence-based decision-making is to make decisions that are based on the best available evidence, rather than relying on intuition, tradition, or personal experience.
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A talent contest has 8 contestants. Judges must award prizes for first, second, and third places. If there are no ties,
A. In how many different ways can the 3 prizes be awarded?
B. How many different groups of 3 people can get prizes?
Answers
A. The 3 prizes be awarded in 336 different ways.
B. The 3 people can get prizes in 56 different groups.
PROBABILITY CALCULATION
A. The different ways can the 3 prizes be awarded:
There are 8 contestants, so the number of ways to award the first prize is 8. Once the first prize is awarded, there are 7 remaining contestants for the second prize, and 6 remaining contestants for the third prize. So, the total number of ways to award the 3 prizes is 876 = 336.
B. The different groups of 3 people can get prizes:
This is a combination problem. To find the number of ways to choose a group of 3 people from a group of 8, we use the formula [tex]_{n} C_{r}[/tex], where n is the total number of people and r is the number of people we want to choose. In this case, n = 8 and r = 3, so the number of ways to choose a group of 3 people from 8 is ₈C₃ = 56.
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Consider these functions: what is the value of g(f(2))?
Answers
Answer: 31
Step-by-step explanation: I did this before
Given that a = 4 cm and b = 9 cm, work out the area of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.
Answers
18 cm
To determine the area of a truangle the formula (b*h) /2 shall be used.
In this problem the base is 9 cm and the height is 4 cm. therefore those two values should be multiplied, thus giving 36cm. Lastly, 36 should be divided by 2 which should be 18 cm.
A system consists of two particles. At t = 0 one particle is at the origin; the other, which has a mass of 0. 50 kg, is on the y-axis at y = 6. 0 m. At t = 0 the center of mass of the system is on the y-axis at y = 2. 4 m. The velocity of the center of mass is given by (0. 75 m/s3) t2i^.
Answers
The total mass of the system which consists of two patches is1.25 kg.
The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.
Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in thex-direction. So, the position vector of the center of mass can be expressed as
Rcm = 2.4 i
The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation
m1 m2 = mtotal
m1 * R1 m2 * R2 = mtotal * Rcm
Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.
working the below equation for mtotal, we get
mtotal = m1 m2 = m2 *( R2/ Rcm)
mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)
mtotal = 1.25 kg
Hence the total mass of the system is1.25 kg.
This question is deficient and should be written as
A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system. The aggregate mass of the system which consists of two patches is1.25 kg.
The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.
Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in the x-direction. So, the position vector of the center of mass can be expressed as
Rcm = 2.4 i
The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation
m1 m2 = mtotal
m1 * R1 m2 * R2 = mtotal * Rcm
Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.
working the below equation for mtotal, we get
mtotal = m1 m2 = m2 *( R2/ Rcm)
mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)
mtotal = 1.25 kg
Hence the total mass of the system is1.25 kg.
This question is deficient and should be written as
A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system.
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The total mass of the system which consists of two particles is 1.25 kg.
The position vector of the center of mass of the system can be defined as the weighted average of the position vectors of the two particles, with the weights being the masses of the particles.
Given that the position of the center of mass is on the y-axis at y = 2.4 m and the y-component of the velocity of the center of mass is (0.75 m/s^3)t^2, we know that the center of mass does not move in the x-direction. So, the position vector of the center of mass can be expressed as:
Rcm = 2.4iThe position vector of the first particle is given as the origin, and the position vector of the second particle is given as 6j. The total mass of the system is given by the following equation:
m1 + m2 = mtotalm1 * R1 + m2 * R2 = mtotal * RcmWhere R1 and R2 are the position vectors of the first and second particles, respectively, and m1 and m2 are their respective masses.
Solving the above equation for mtotal, we get
mtotal = m1 + m2 = m2*(R2/Rcm) mtotal = 0.5*(6/2.4) = 0.5*(2.5) mtotal = 1.25 kgHence the total mass of the system is 1.25 kg.
This question is incomplete and should be written as:
A system consists of two particles. At t = 0 one particle is at the origin; the other, which has a mass of 0.50 kg, is on the y-axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y-axis at y = 2.4 m. The velocity of the center of mass is given by (0.75 m/s3) t^2i. Find the total mass of the system.Learn more about center of a mass here: brainly.com/question/8662931
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Nathalia is shopping for a bank. She does not write checks or use
the ATM. She pays for lunch with her debit card 25 times each
month. Which bank is a better deal for Nathalia?
A. Tex-Bank is the better deal because the fees for
this bank for Nathalia is $3.50 per month.
B. Nation-Bank is the better deal because the fees
for this bank for Nathalia is $2.75.
C. Tex-Bank is the better deal because the fees for
this bank for Nathalia is $12.25 per month.
D. Nation Bank is the better deal because the fees
for this bank for Nathalia is $20.75.
Answers
Tex-Bank is the better deal because the fees for this bank for Nathalia is $12.25 per month.
What kind of account allows you to make withdrawals when you need cash and spend money instantly using a debit card or check?Savings account: A checking account makes it simple to access your money for daily transactions while also keeping it safe. Typically, customers may pay their bills or make purchases using a debit card or a cheque.There is a fixed fee of Rs. 10,000 per ATM if you use an ATM for more than ten hours in a month. In the event of White Label ATMs (WLAs), the bank providing the required amount of cash would be charged the penalty.To learn more about Tex-Bank refer to:
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Right triangle abc is on a coordinate plane. segment ab is on the line y = 2 and is 6 units long. point c is on the line x = −3. if the area of δabc is 6 square units, then find a possible y-coordinate of point c. 3 4 5 6
Answers
Answer:
(b) 4
Step-by-step explanation:
You want the y-coordinate of point C on the line x=-3 so that ∆ABC has area 6 square units with segment AB being 6 units long.
AreaThe formula for the area of a triangle is ...
A = 1/2bh
Given the base of 6 units, and area of 6 square units, we find the height to be ...
6 = 1/2(6)h
6/3 = h = 2
The height of the triangle is 2 units.
CoordinatesPoint C is given as being on the line x=-3. Its y-coordinate must differ from the y-coordinates of A and B by 2 units. Those y-coordinates are 2, so the y-coordinate of C is ...
2 ±2 = {4, 0}
Point C may have a y-coordinate of 0 or 4. The appropriate answer choice is 4.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $10. The auditorium can hold no more than 140 people. The drama club must make at least $1100 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y
y represents the number of adult tickets sold, write and solve a system of inequalities (in y= form) graphically and determine one possible solution.
Answers
The system of inequalities is 6.50x + 10y ≥ 1100 and x + y ≤ 140.
The graph is attached below
How to plot the graph of the inequalitiesTo plot the system of equations, we can first plot the lines for each equation on the same coordinate plane.
The first inequality is 6.50x + 10y ≥ 1100.
We can rewrite this in slope-intercept form as
y = (-6.50/10)x + (1100/10).
The slope of the line is -6.50/10 = -0.65
And the y-intercept is (1100/10) = 110.
The second inequality is x + y ≤ 140.
We can rewrite this in slope-intercept form as y = (-1/1)x + (140/1).
The slope of the line is -1/1 = -1
And the y-intercept is (140/1) = 140.
We can now plot these lines on the same coordinate plane.
The points of intersection are the solutions to the system of equations.
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given
produce one triangle, two triangles, or no triangle at all. Solve each triangle that
measurements
results.
a = 17,
c = 18.3
A = 56°
Answers
Answer:
no triangle at all
Step-by-step explanation:
When two sides and an angle (SSA) of a triangle are given, we can use the Law of Cosines to determine whether the given measurements produce one triangle, two triangles, or no triangle at all.
The Law of Cosines states that in any triangle ABC, c² = a² + b² - 2ab cos(C), where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the measures of the angles opposite those sides.
Given a = 17, c = 18.3, and A = 56°, we can use the Law of Cosines to find the value of b²:
b² = c² - a² + 2ab cos(A)
If the value of b² is positive, then the given measurements produce one triangle. If the value of b² is zero, then the given measurements produce one degenerate triangle. If the value of b² is negative, then the given measurements do not produce any triangle.
Calculating b² = 18.3² - 17² + 2(17)(18.3)cos(56°) = 0.3
As the value of b² is zero, the given measurements produce one degenerate triangle. A degenerate triangle is a triangle whose sides do not form a valid triangle, i.e the three sides are collinear.
Since, the value of b² is zero, it means that the three sides of the triangle are collinear and it will not form a triangle. The measurements provided do not produce any triangle.
(04.05 mc) remo needs to buy a countertop for a bathroom. he calculated the area as 10 square feet. the actual area is 9.5 square feet. what is remo's percentage error? (1 point) 0.5% 0.95% 5% 5.26%
Answers
The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
To find the percentage error, we need to divide the difference between the measured value and the actual value by the actual value and multiply by 100%. In this case, the difference between the measured value and the actual value is 10 - 9.5 = 0.5. The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.
The percentage error tells us how much the measured value differs from the actual value as a percentage. In this case, the measured value (10 square feet) is 5.26% larger than the actual value (9.5 square feet).
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Remo's percentage error is 5.26%
In this question we have been given Remo calculated the area as 10 square feet.
And the actual area is 9.5 square feet.
We need to find Remo's percentage error
We know that the formula for the percentage error.
E = (V_o - V_a)/V_a × 100
where V_a is the actual value
V_o is the observed value
E is the percentage error
From given data: calculate area A_o = 10 square feet
actual area A_a = 9.5 square feet
So, Remo's percentage error would be.
E = (A_o - A_a)/A_a × 100
E = [(10 - 9.5)/9.5] × 100
E = 5.26%
Therefore, the percentage error is 5.26%
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What should we be taken away from 3x² - 4y² + 5xy + 20 to obtain - x² - y² + 6xy + 20?
Answers
Answer:
Hence, the expression ( 4 x 2 - 3 y 2 - x y ) should be taken away from 3 x 2 - 4 y 2 + 5 x y + 20 to obtain - x 2 - y 2 + 6 x y + 20 .
Step-by-step explanation:
Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay?
A. $7.99
B. $14.99
C. $31.99
D. $39.74
Answers
Answer:
C
Step-by-step explanation:
1. 100% - 20% = 80%
2. 39.99*0.8 = $31.99
hope this helps!!
If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.
Answers
Answer:
taken to the hospital or get medical attention where you are.
Step-by-step explanation:
Brainliest?
Why there is no AAA congruence theorem?
Answers
There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.
The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.
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There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.
The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.
congruence
the quality of being similar to or in agreement with something: the congruence of the two systems.
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6. Make Sense and Persevere Glen compares the rates of
change of two linear functions represented in different forms.
a. For a linear function in the form y = mx + b,
how does Glen determine the rate of change?
b. How can Glen determine the constant rate of change of the linear
function presented in the table on the right? What is the rate of change?
Answers
The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.
What is Slope ?The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Slope indicates that for every unit change in the independent variable, x, the dependent variable will vary by the same amount, b. Slope indicates both direction and steepness. Positive slope causes the line to rise when it goes from left to right. When the slope is negative, the line descends when moving from left to right.
Here,
You may get the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two places. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.
The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.
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1.
A car travels 200 miles to Alabama at 55 miles per hour. It then goes
another 10 miles to Dothan. Write an equation and solve to find how many
hours it takes
Answers
Answer: 12.5 miles
Step-by-step explanation:
Graph the image of the given triangle, translated by the rule
X,Y > (X + 2, Y - 7.)
Answers
Answer:Xkskx
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. Each candle is 6 cm long, 5 cm wide, and 14 cm tall. If the company used 4620 cm^3 of wax, how many candles did they make?
Answers
30×14=420
Therefore, each candle is 420 cm3
4620÷420=11
The company was able to produce 11 candles
In the ardmore hotel, 20 percent of the customers pay by american express credit card. (a) of the next 10 customers, what is the probability that none pay by american express? (b) at least two? (c) fewer than three? (d) what is the expected number who pay by american express? (e) find the standard deviation.
Answers
a) The probability that none pay by American express is 0.107.
b) The probability of atleast two is 0.8350
c) The probability of fewer than three is 0.1650
d) The expected number who pay by American Express is 4.
e) The Standard deviation is 1.788
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
In the Ardmore Hotel, 20 percent of the customers pay by American Express credit card.
Here,
Mean = μ = np = 20*0.2 = 4
Standard deviation = σ = √(npq) = √(20×0.2×0.8) = √(3.2) = 1.7889
Let A be the event in which they pay by American express.
∴ P(A) = 0.2
∴ The probability that they do not pay by American Express = 1 - P(A)= 0.8.
(a) P(none in 10) = 0.8^10 = 0.10737
(b) At least two:
P(none pay) + P(one pays) + P(at least two pay) = 1
P(at least two) = 1 - [P(none) + P(one pay)
= 1 - [0.10737 + 20C1(0.2)^1*(0.8)^19] = 1 - [0.10737+0.05765] = 0.8350
(c) Fewer than three = P(one) + P(two) = 1- 0.8350 = 0.1650
(d) The expected number who pay by American Express is:
Mean = np = 20*0.2 = 4
(e) Standard deviation:
σ = √(npq) = √(4* 0.8) = √(3.2) = √(1.6*2) = 1.788
Thus,
a) The probability that none pay by American express is 0.107.
b) The probability of atleast two is 0.8350
c) The probability of fewer than three is 0.1650
d) The expected number who pay by American Express is 4.
e) The Standard deviation is 1.788
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Suppose that y varies directly with x, and y=9 when x= -3.
(a) Write a direct variation equation that relates x and y
Equation: y = -3
Answers
The equation that relates x and y is y = -3x.
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,
y ∝ x
y = kx
Now,
When x = -3, y = 9
This means,
9 = -3k
k = -3
Now,
The equation is y = -3x
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Erin wants to buy a set of paintbrushes.
Store A sells a set for \$ 25.00$25.00 and offers a 10\%10% discount.
Store B sells a set for \$ 27.00$27.00 and offers a 20\%20% discount.
Store C sells a set for \$ 26.00$26.00 and offers a 15\%15% discount.
After calculating the discounted prices, place the stores in order from lowest price to highest price for a set of paintbrushes.
Lowest price:
Middle price:
Highest price:
Answers
Placing the stores in order from lowest price to highest price for a set of paintbrushes will be;
Lowest price: Store B
Middle price: Store C
Highest price: Store A
What is Discount?Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.
Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products
Store A
Discounted Price = $25 - ((10/100) x 25)
Discounted Price = $25 - $2.5
Discounted Price = $22.5
Store B
Discounted Price = $27 - ((20/100) x 27)
Discounted Price = $25 - $5.4
Discounted Price = $21.6
Store C
Discounted Price = $26 - ((15/100) x 26)
Discounted Price = $26 - $3.9
Discounted Price = $22.1
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The volume of a cylinder is given by the formula v=nr^2h where is r is the radius of the cylinder and h is the height
Answers
The volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].
we know that
The volume of a cylinder is given by the formula v=nr^2h
where
r is the radius of the cylinder
h is the height of the cylinder
in this problem, We know that height of the cylinder is given by h = 2x + 7 and radius r = x-3
Substituting the given values in the above formula to get:
Volume = [tex]\pi .(x - 3)^{2} .2x+7[/tex]
[tex]= \pi (x^{2} - 6x + 9)(2x + 7)\\\\= \pi (2x^{3} - 5x^{2} -24x +63)[/tex]
Hence , the volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].
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Rewrite 1/14x^3y + 8/14xy^2 using a common factor
Answers
Factor the polynomial.
x
y
(
x
2
14
+
8
y
14
)
i pasted this from p01nhub
Find the rational number which when multiplied with -9/13 gives the product 45.
Answers
Answer:
-1/45
If this help please set brainliest.
Step-by-step explanation:
To find the number that when multiplied with -9/13 gives the product 45, you can divide 45 by -9/13. Dividing 45 by -9/13 is the same as multiplying -9/13 by the reciprocal of 45, which is -1/45. The reciprocal of a number is 1 divided by that number, so the reciprocal of 45 is 1/45.
Therefore, the number you are looking for is -1/45. When multiplied by -9/13, this number gives the product 45:
(-1/45) * (-9/13) = (-1 * -9) / (45 * 13) = 9/585 = 45
The number you are looking for is -1/45.
How many terms is 3xy?
Answers
The gift shop sold 4 times as much wrapping paper in december as in january. they sold 635 rolls over the two moths Draw a bar model to represent the number sold each month. write an equation to show the number represented by each box of the bar model. then find the number. how much wrapping paper was sold in december? explain how you know.
Answers
Answer:
5x = 635
x = 127
508 rolls of paper were sold in December.
Step-by-step explanation:
if 11011 and 11 are in binary, find their product in binary
Answers
To find the product of 11011 and 11 in binary, you can use the standard multiplication algorithm that you would use for decimal numbers.
First, you need to multiply 11011 by the rightmost digit of 11, which is 1. This gives you 11011.
Then, you need to multiply 11011 by the next digit of 11, which is 1. This gives you 100110.
Finally, you need to add these two results together to get the final answer:
11011
100110
110121
The product of 11011 and 11 in binary is 110121.
1) (6.4G) What percentage of the
model is shaded?
Answers
Answer:
66%
Step-by-step explanation:
If you count all the shaded blocks you get 10 to a total of 15 blocks
which simplifies down to 2/3
