Ian’s mom sang him S songs. Then his sister sang him two times as many as his mom had. If Ian listened to nine songs in all, Ian's mom sang _____songs.

Answer:

5.30

Step-by-step explanation:

One hundredth is 0.01. 5.31-0.01=5.30.

sorry for answering late!

99 as a product of primes is, 99 = 3² * 11

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

To Write 99 as a product of primes,

we get,

99 = 3 * 3 * 11

99 = 3² * 11

Hence, 99 as a product of primes is, 99 = 3² * 11

To learn more on multiplication click:

https://brainly.com/question/23940156

#SPJ1

The average rainfall for these seven states is 53.14 inches per year.

The rainfall for the seven different states can be represented using the following list: [83, 57, 48, 97, 20, 36, 31].
To find the average rainfall for these seven states, we need to add up all of the values in the list and then divide by the number of values.
Step 1: Add up all of the values in the list:
83 + 57 + 48 + 97 + 20 + 36 + 31 = 372
Step 2: Divide the sum by the number of values in the list:
372 / 7 = 53.14

You can learn more about averages at: brainly.com/question/12322912

#SPJ11

The given matrices are checked and their status is mentioned in the following list below :a. Reduced echelon form [100 010 000 -10-100] b. Not in echelon form [ -8000 -4200 -8110 -9101 -8130] c. Reduce echelon form [11 10 -4 -10] d. Echelon form [ 100 001 000 -502] Echelon form and reduced echelon form of matrices

The Matrix A is in the reduced echelon form if and only if the following conditions are satisfied:All rows having 0s are at the bottom of the matrix.There must be no 0 rows in the matrix.In each row of the matrix containing the leading nonzero element, all entries above and below the leading entry are 0.

The leading coefficient of a nonzero row is always strictly to the right of the leading coefficient of the row above it.In each column containing a leading coefficient, all other entries are zero.

For a matrix to be in echelon form, it must fulfill the following conditions : All rows containing all zero elements are located at the bottom of the matrix. All leading coefficients in any nonzero row are always strictly to the right of the leading coefficient in the row above it.

To know more about echelon form here:

https://brainly.com/question/30845166

#SPJ11

The ratio of Anson's savings to Billy's savings after the book fair was 20 : 3

Let's start by setting up some equations:

Let A be the amount of money Anson had before giving 1/10 of his savings to Billy, and let B be the amount of money Billy had at that time.

We know that the ratio of Anson's savings to Billy's savings was 3:11 before the transfer, so:

A/B = 3/11

We also know that after the transfer, Anson had 9/10 of his original savings left, so:

Anson's new savings = 9/10 A

And Billy had 1/10 of Anson's original savings, plus his original savings, so:

Billy's new savings = B + 1/10 A

We're also told that both Anson and Billy spent the same amount of money at a book fair.

Let's call that amount X.

So after the book fair:

Anson's new savings = 9/10 A - X

Billy's new savings = B + 1/10 A - X

Finally, we're told that the ratio of Anson's savings to Billy's savings was 1:9, and that Billy had $264 more than Anson. So:

(9/10 A - X)/(B + 1/10 A - X) = 1/9

B + 1/10 A - X = 264 + (9/10 A - X)

Simplifying the second equation, we get:

1/10 A + X = 264

Substituting X = 1/10 A + 264 into the first equation, we can solve for B:

(9/10 A - (1/10 A + 264))/(B + 1/10 A - (1/10 A + 264)) = 1/9

8/9 A - 2640 = B/9

B = 8/9 A - 23760

Now we can substitute this expression for B into the equation we found for X:

X = 1/10 A + 264

And we can substitute both expressions into the equation we found for Billy's new savings:

(B + 1/10 A - X) = (8/9 A - 23760 + 1/10 A - (1/10 A + 264))

Simplifying, we get:

B = 8/9 A - 23760

X = 1/10 A + 264

B + 1/10 A - X = 7/9 A - 24024

So we know that Anson had 7/9 of his original savings left after the book fair, and Billy had 2/9 of Anson's original savings plus $264:

Anson's new savings = 7/9 A

Billy's new savings = 2/9 A + 264

We also know that before the transfer, the ratio of Anson's savings to Billy's savings was 3:11. So we can set up another equation:

A/B = 3/11

Substituting our expression for B from earlier, we get:

A/(8/9 A - 23760) = 3/11

Solving for A, we get:

A = $83160

So Anson had $83160 before giving 1/10 of his savings to Billy, and Billy had $30360 at that time.

After the book fair, Anson had $50400 left, and Billy had $8316 + $264 = $8580.

Therefore, the ratio of Anson's savings to Billy's savings after the book fair was:

50400/8580 = 20/3 = 20 : 3

Learn more about ratios here: https://brainly.com/question/13513438

#SPJ1

All of the possible outcomes in which Hana wins the game is {6, 8, 10, 12, 14, 16}.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain to occur.

To win the game, the sum of the two spinners must be an even number greater than 6. Let's list all the possible outcomes:

So the possible outcomes in which Hana wins the game are: 2 + 4 = 6, 2 + 8 = 10, 4 + 2 = 6, 4 + 4 = 8, 4 + 6 = 10, 4 + 8 = 12, 6 + 2 = 8, 6 + 4 = 10, 6 + 6 = 12, 6 + 8 = 14, 8 + 2 = 10, 8 + 4 = 12, 8 + 6 = 14, and 8 + 8 = 16.

Therefore, all of the possible outcomes in which Hana wins the game is {6, 8, 10, 12, 14, 16}.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

18/40

or

9/20

Step-by-step explanation:

13 marbles are initially removed.

40 - 13 = 27

1/3 of that is removed.

27 - 9 = 18

We take whatever is left over (18 marbles), and put it in a fraction to represent what fraction is left over from 40.

18/40

or

9/20

The solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.        

Why does inequality matter?

Experts claim that disparity fosters political unrest and impedes economic growth. Concentrated financial resources reduce demand for products and services because affluent families generally spend less of their revenue than do poorer households. If low-income people have fewer choices, the company might suffer.

To solve the inequality 1.25x + 6.50 ≤ 15, we can start by isolating x on one side of the inequality:

1.25x + 6.50 ≤ 15

Subtract 6.50 from both sides:

1.25x ≤ 8.50

Divide both sides by 1.25:

x ≤ 6.8

Therefore, the solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.

To know more about Inequality visit:

brainly.com/question/24372553

#SPJ9

Minimum: 112

Quartile Q1: 129.5

Median: 138

Quartile Q3: 154.5

Maximum: 156

The value of the expression is A = 6xy

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 2 ( x ) ( 3 ) ( y )

On simplifying the equation , we get

A = ( 2 ) (3 ) ( xy )

A = 6xy

Therefore , the value of A is 6xy

Hence , the expression is A = 6xy

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

Christine swam 0.7 miles more than Jack.

The solution can be simply found out by subtracting the distance swam by Jack by the distance swam by Christine.

Distance swam more by Christine= 4.1 - 3.4

Distance swam more by Christine= 0.7

The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. One mile can be covered in under one minute. Nonetheless, there are varying speed limits on the roads. You should include in their average speed of 25–60 mph when calculating how long it will take you to reach your destination.

Learn more about mile here brainly.com/question/23245414

#SPJ1

The scale factor from the original pool's dimensions to the new pool's dimensions is approximately 3.682.

The volume of a rectangular prism (such as a swimming pool) is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

Let x be the scale factor from the original pool's dimensions to the new pool's dimensions. Then, the dimensions of the new pool can be expressed as lx, wx, and hx, where l, w, and h are the dimensions of the original pool.

We know that the original pool can hold 60,000 L of water, so we can set up the equation:

60,000 = lwh

Substituting in lx for l, wx for w, and hx for h, we get:

60,000 =[tex](lx)(wx)(hx)[/tex]

We also know that the new pool can hold 3,039,180 L of water, so we can set up another equation:

3,039,180 = [tex](lx)(wx)(hx)[/tex]

The result of dividing the second equation by the first equation is:

3,039,180/60,000 = [tex](lx)(wx)(hx)/(lx)(wx)(hx)[/tex]

Simplifying, we get:

50.653 =[tex]x^3[/tex]

The result of taking the cube root of both sides is:

x ≈ 3.682

Therefore, the scale factor from the original pool's dimensions to the new pool's dimensions is approximately 3.682.

for such more question on dimensions

https://brainly.com/question/19819849

#SPJ4

The 100th term of the arithmetic sequence: 7, -1, -9 is -785.

To find the 100th term of an arithmetic sequence, we can use the formula: an = a1 + (n - 1)d where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.

In this case, the first term is 7, the common difference is -8 (since -1 - 7 = -8), and we want to find the 100th term, so n = 100. Plugging these values into the formula, we get:

a100 = 7 + (100 - 1)(-8)

a100 = 7 + (99)(-8)

a100 = 7 - 792

a100 = -785

Therefore, the 100th term of the arithmetic sequence is -785.

To know more about arithmetic sequence, refer here:

https://brainly.com/question/28882428#

#SPJ11

The number of cubic centimeters of space that 3 ping pongs would have is 339. 29 cm ³

A ping pong ball takes the shape of a sphere and the volume of a sphere is ;

= 4 / 3 x π x radius ³

Given the radius of 3 cm, the volume of one ping pong ball is :

= 4 / 3 x π x 3 ³

= 113. 09734 cm ³

If there are three ping pong balls, the volume would then be :

= 113. 09734  x 3 ping pongs

= 339. 29 cm ³

Find out more on volume at https://brainly.com/question/11599162

#SPJ1

Using the slope-intercept form we know that Astrid is correct as the slope of the line is -4.

You can use the slope-intercept formula, y = mx + b, when you know the slope of the line to be studied and the provided point is also the y-intercept (0, b).

The formula's symbol b stands for the y value of the y-intercept point.

y=mx+b is a formula that expresses a line's slope and y-intercept.

The point where the line crosses the y-axis is known as the y-intercept and is typically represented in coordinate form as (0,b).

So, according to the given description of the slope-intercept form, we know that:

m = -4 and b = 1/3

Hence, we know that Astrid is correct.

Therefore, using the slope-intercept form we know that Astrid is correct as the slope of the line is -4.

Know more about the slope-intercept form here:

brainly.com/question/22057368

#SPJ1

The linear equation that shows a proportional relationship is y = 5x/6, the correct option is C.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A proportional relationship is one where two variables are related in such a way that when one variable changes, the other changes by a constant factor. In other words, the ratio of the two variables remains constant.

We are given that;

Linear equations to chose from

Now,

when x increases by a certain amount, y increases by a corresponding amount that is exactly 5/6 times as much. In other words, the ratio of y to x is always 5/6, which means that the two variables are proportional to each other.

Therefore, the linear equation will be y = 5x/6.

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ1

Each child will receive 0.8 (or 4/5) of a cake.

To solve this problem, we need to divide 4 small cakes equally among 5 children. This means we need to divide the total number of cakes by the number of children.

To represent this visually, we can draw 4 small cakes and divide them into 5 equal parts. Each part represents the portion of a cake that each child will receive.

The drawing is in the image attached.

Therefore, each child will receive 0.8 (or 4/5) of a cake.

Learn more about division here: https://brainly.com/question/25289437

#SPJ1

The area in square miles (rounded to the nearest integer) is:

area = 2,492 square miles.

Here we need to perform a change of units from acres to square miles. We know the relation:

1 square mile = 640 acres.

And we want to find the area of a park with 1,505,011 acres in square miles.

We can rewrite the relation above as:

1 acre = (1/604) square miles.

Then the area of the park will be:

Area = 1,505,011 acres  = 1,505,011*(1/604) square miles

Area = 2,491.74 square miles.

Rounding to the nearest integer we will get:

area = 2,492 square miles.

Learn more about changes of units at:

https://brainly.com/question/141163

#SPJ1

The ordered pair (1,-3) is a solution to the given system, while the ordered pair (0,0) is not

practice is a great way to help you understand how to determine whether ordered pairs are solutions to a given system. In this case, we are looking at the system:

3x+y=0

x+2y=-5

To determine whether the ordered pairs (0,0) and (1,-3) are solutions, we need to plug them into the equations and see if they make the equations true.

For the first ordered pair (0,0), we plug in x=0 and y=0 into the equations:

3(0)+(0)=0

(0)+2(0)=-5

The first equation is true, but the second equation is not. Therefore, (0,0) is not a solution to the system.

For the second ordered pair (1,-3), we plug in x=1 and y=-3 into the equations:

3(1)+(-3)=0

(1)+2(-3)=-5

Both equations are true, so (1,-3) is a solution to the system.

In conclusion, the ordered pair (1,-3) is a solution to the given system, while the ordered pair (0,0) is not.

Learn more about  ordered pairs

brainly.com/question/30113488

#SPJ11

The expression can be written as a single logarithm using the laws of logarithms as: 2logx(y)+logx(z/y).

The exponent or power to which a base must be increased in accordance with the laws of logarithms to arrive at a certain number. If bx = n, then x is the logarithm of n to the base b, which is expressed mathematically as x = logb n

Using the laws of logarithms, we can combine the given expression as follows:

2 log(x) - log(y) + log(z)

Now, using the law of logarithmic addition, we can combine the second and third terms as follows:

2 log(x) + log(z/y)

Therefore, the given expression as a single logarithm is:

2 log(x) + log(z/y)

Learn more about logarithm at https://brainly.com/question/25155749

#SPJ11

The implied domain of the function y = (-6x^2 - 4x)/8 is found to be (-∞, ∞).

The first step in determining the implied domain of the function is to isolate the dependent variable, in this case y, on one side of the equation.

We can do this by adding 5y to both sides of the equation and subtracting 4x from both sides of the equation:

-6x^2 - 4x = 8y

Next, we can divide both sides of the equation by 8 to get y by itself:

(-6x^2 - 4x)/8 = y

Now we have the function in terms of y:

y = (-6x^2 - 4x)/8

The implied domain of the function is the set of all x-values for which the function is defined.

In this case, there are no restrictions on the values of x that can be used in the function, so the implied domain is all real numbers.

Therefore, the implied domain of the function y = (-6x^2 - 4x)/8 is (-∞, ∞).

To learn more about function:

https://brainly.com/question/12431044#

#SPJ11

We can use the notation definition to show that Π does not perform too differently between two environments vj and v0 by comparing the performance of Π in both environments and calculating the difference between them.

In order to show that Π does not perform too differently between two environments vj and v0, we can use the notation definition to compare the performance of Π in both environments.

First, we can use the notation Π(vj) to represent the performance of Π in environment vj and Π(v0) to represent the performance of Π in environment v0.

Next, we can compare the two performances by calculating the difference between them using the notation |Π(vj) - Π(v0)|.

If the difference is small, then we can say that Π does not perform too differently between the two environments. However, if the difference is large, then we can say that Π performs differently in the two environments.

In conclusion, we can use the notation definition to show that Π does not perform too differently between two environments vj and v0 by comparing the performance of Π in both environments and calculating the difference between them.

Learn more about Notation

brainly.com/question/29531272

#SPJ11

A percentage of 25% οf the kids were οn the winning team.

Percentage is a way οf expressing a prοpοrtiοn οr fractiοn as a number οut οf 100. It is denοted by the symbοl "%".

Tο find the percentage οf kids οn the winning team, we can use the fοrmula:

percentage = (part/whοle) x 100%

In this case, the "part" is the number οf kids οn the winning team, which is 15. The "whοle" is the tοtal number οf kids whο played, which is 60. Substituting these values, we get:

percentage = (15/60) x 100% = 0.25 x 100% = 25%

Therefοre, 25% οf the kids were οn the winning team.

To learn more about Percentage from the given link

https://brainly.com/question/24877689

#SPJ1

The missing sides are 6.9 cm and 9.8 cm

A right triangle, also known as a right-angled triangle, is a triangle that has one angle measuring 90 degrees, which is known as a right angle. The side opposite the right angle is called the hypotenuse, while the other two sides are called the legs or the adjacent and opposite sides.

We know that;

Sin 35 = opposite/12

Opposite = 12 sin 35

= 6.9 cm

Cos 35 = adjacent/12

adjacent = 12 cos 35

adjacent = 9.8 cm

Learn more about triangle:https://brainly.com/question/2773823

#SPJ1

Answer:

490 newtons

Step-by-step explanation:

Answer:

Ava has 25 books initially, then gives away 7 books, leaving her with 25 - 7 = 18 books.

After Tom gives her 12 books, she will have 18 + 12 = 30 books.

Therefore, Ava has 30 books now.

Answer:

She would have 30 books

Step-by-step explanation:

25 - 7 + 12 = 30

Answer:

1. plot the point (6,5) and label it Mr. Snuffles

2. 26 treats were eaten in total (21 not counting Mr.Snuffles)

Step-by-step explanation for plotting the point:

On the bottom line (miles walked) go to the number six, then go up five until it is on the five line for the side line (number of treats) plot the point here and then label the point Mr.Snuffles.

plot the point (6,5)

21 treats were eaten in total

Step-by-step explanation:

On the X axis, go to the number six, then go up five until it is on the five line for the side line (number of treats) plot the point here and then label the point Mr. Snuffles.

The expression can be simplified using the rule of exponents. The value of the expression 0.5a²b³ * (-2b)⁶ is 32a²b¹⁵.

The exponents can be added when multiplying two powers with the same base, according to the product rule of exponents. This rule may be expanded to encompass exponents that are negative or fractional, variables, constants, and more.

The expression can be simplified using the rule of exponents.

0.5a²b³ * (-2b)⁶ = 0.5a²b³ * 64b⁶

Using the power rule of the exponents we have:

= 32a²b⁹ * b⁶

Simplifying the above value we have:

= 32a²b¹⁵

Hence, the value of the expression 0.5a²b³ * (-2b)⁶ is 32a²b¹⁵.

Learn more about exponents here:

https://brainly.com/question/3009444

#SPJ1

Expression 0.5a²b³ times (-2b)⁶ is -32a²b⁹

An algebraic expression is a combination of variables, constants, and mathematical operations. It represents a mathematical relationship between quantities and can be used to model real-world situations or solve problems.

Algebraic expressions can contain variables, which are symbols that represent unknown values, constants, which are fixed values, and mathematical operations such as addition, subtraction, multiplication, division, and exponents.

We can simplify this expression using the rules of exponents:

0.5a²b³ times (-2b)⁶ = 0.5a²b³ times (-64b⁶)

Multiplying the coefficients, we get:

-32a²b⁹

Therefore, the simplified expression is -32a²b⁹.

To know more about expression visit:

https://brainly.com/question/24242989

#SPJ1

In the following question, among the conditions given, the circumference of a cylinder is "20π cm, or approximately 62.83 cm" with a 6 cm radius and a 4 cm height.

The formula for the circumference of a cylinder is:

Circumference = 2πr + 2πh

where r is the radius of the circular base and h is the height of the cylinder.

In this case, the radius is 6 cm and the height is 4 cm, so we can plug those values into the formula:

Circumference = 2π(6) + 2π(4)

Circumference = 12π + 8π

Circumference = 20π

So the circumference of the cylinder is 20π cm, or approximately 62.83 cm (if we use a calculator to approximate the value of π to two decimal places).

For more such questions on circumference

https://brainly.com/question/27447563

#SPJ4

The exact value of sin(6/11π) is -sin(6/11π).

The exact value of sin(6/11π) can be found by using the reference angle of 6/11π. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. In this case, the reference angle is (6/11π) - π = (-5/11π).

To find the exact value of sin(-5/11π), we can use the fact that sin(-θ) = -sin(θ). So, sin(-5/11π) = -sin(5/11π).

Next, we can use the fact that sin(θ) = sin(π - θ) to find the exact value of sin(5/11π). So, sin(5/11π) = sin(π - 5/11π) = sin(6/11π).

Therefore, the exact value of sin(6/11π) is -sin(6/11π).

In conclusion, the exact value of sin(6/11π) is -sin(6/11π).

Learn more about Exact value

brainly.com/question/12060967

#SPJ11