Homework: Ch 4. 3


A woman bought some large frames for $17 each and some small frames for $5 each at a closeout sale. If she bought 24 frames for $240, find how many of each type she bought


She bought large frames.

The full price of the wallet that Nathan bought before the discount is $18.60

In this case, we are given that:

The total price after the discount = $17.67

Let’s assume that the full price of the wallet is X

The discount = 5% off = 0.05 X

We can find the full price by using this following formula:

Full price – discount price = total price after discount

X – 0.05X = 17.67

0.95X = 17.67

X = 17.67 : 0.95

X = 18.6

Therefore, the full price of the wallet before the discount is $18.6

To learn more about discount, click here:

https://brainly.com/question/3541148

#SPJ4

The area of circle with circumference 5πm is 6.25π square meters.

What is circumference and area of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.

Circumference of circle(C)= 2πr

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Area of circle(A)= πr^2

We are given the circumference of circle(C)= 5π

This implies that 2πr= 5π because C= 2πr

On solving the equation,

2πr= 5π

r=5/2

=2.5

Now, area of circle(A)= πr^2

So, A= π (2.5)^2

A= 6.25π square meters

Hence, The area of circle with circumference 5πm is 6.25π square meters.

Learn more about circumference and area of a circle from the given link

https://brainly.com/question/402655

#SPJ1

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:

(r⁴ - 3r³ + 6r - 18) / (r - 3)

The divisor is +3

The coefficients are:

   1    -3    6    -18

Using synthetic division

the first coefficient is 1

the second coefficient = 1 * 3 + -3

the second coefficient = 0

the third coefficient = 0 * 3 + 6

the third coefficient = 6

the fourth coefficient = 6 * 3 + (-18)

the fourth coefficient = 0

Therefore, the solution =  1(r⁴/r) + 0(r³/r) + 6(r/r) + 0

the solution = r³ + 6

Learn more about synthetic division at: https://brainly.com/question/18788426

#SPJ1

Answer:

Here is your answer

((5 * 7) ^ 7) ^ 5 =

(35 ^ 7) ^ 5 =

64339296875 ^ 5 = 1102507499354148695951786433413508348166942596435546875

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.

To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.

Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.  

Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.

Learn more about equations here

brainly.com/question/29657992

#SPJ1

Yes, these expressions are equivalent.

Expressions that are equivalent do the same thing even when they have distinct appearances.

When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We may be given equations with algebraic expressions on both sides in some situations.

The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F

According to our question-

-2(x-1)+3(x+2)

further solving gives;

x+8

Hence, Yes, these expressions are equivalent.

learn more about equivalent expressions click here:

https://brainly.com/question/2972832

#SPJ1

The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .

What are Function ?

The Function is defined as a relation that associates each element 'a' from a non empty set A  to at least a single element 'b' from another non-empty set B.

For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;

the element 0 has the image as 4 , and the element 2 has the image as 3 .

So , we can see that , the each value of x has exactly only one corresponding value of y .

Therefore , the given ordered pair can be considered as a function .

Learn more about Function here

https://brainly.com/question/28931422

#SPJ4

Answer:     4.16

Step-by-step explanation:

Answer:

x = 7/30

Step-by-step explanation:

x + 2/3 = 9/10

(x + 2/3 = 9/10) * 30  ==> multiply the equation by 30.

                                     30 is the LCM (Least Common Multiple) of 3 and 10.

30x + 2*30/3 = 9*30/10  ==> Now the denominators will be removed,

                                            making the equation much easier to simplify

30x + 60/3 = 270/10  ==> simplify

30x + 20 = 27  ==> solve for x

30x = 7 ==> subtract 20 on both sides

x = 7/30  ==> simplify

To learn more about LCM (Least Common Multiple), click here:

https://brainly.com/question/19307065

yes. 904 is divisible  by 8  and quotient is 113.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

Learn more about divisible here:

brainly.com/question/24873057

#SPJ4

It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.

learn more about triangles click here:

brainly.com/question/1058720

#SPJ4

The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.

Read more on function here: https://brainly.com/question/12789432

#SPJ1

Complete Question:

The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?

To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.

Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.

Steps are:

1. Install Microsoft 3D Builder.

2. Uploading an image and converting it to 3D.

3. Which conversion method to choose.

4. Level selection and smoothing.

5. Scale your image to the size you want.

6. Save the image.

7. Export the 3D model for 3D printing or other 3D applications.

8. Rendering the 3D model.

9. Share the 3D model with others.

To know more about AutoCAD:

brainly.com/question/26979679

#SPJ4

The expression (-4)^2/7 can be written as seventh root 16

The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.

For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.

Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16

7 is the root of (-4)²

Therefore (-4)^2/7 can be written in radical for seventh root 16.

learn more about radicals from

https://brainly.com/question/738531

#SPJ1

the equation for g(x)= 32x-7

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

EXPLANATION

We want to find the equation for g(x).

First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:

f(x)→4f(x)

Therefore, the function becomes:

4(8x)

=32x

Then, it is translated 7 units down. This means that the function changes as follows:

f(x)→f(x)-7

Therefore, the equation for g(x) is:

g(x)=32x-7

Hence, the equation for g(x)= 32x-7.

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.

In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.

Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.

The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.

The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:

Mode > Median > Mean.

To know more about Negatively skewed curve refer to:

brainly.com/question/15380046

#SPJ4

1408 yards in 12 minutes doe a horse walk in twelve minute.

The term measurement in math is defined as the process of associating numbers with physical quantities and phenomena.

Here we have given that a horse can walk 4224 feet in 12 minutes.

As we all know that One yard is equal to three feet.

Therefore, if you want to get the yard equivalent, then we have to divide the feet term by 3.

Here we know that the horse walking distance in 12 minutes is 4224 feet.

Then the yard equivalent value is calculated as,

=> 4224/3

=> 1408

To know more about measurement here.

https://brainly.com/question/23816277

#SPJ4

Brianna will use 0.17 liters of the liquid

We know that an equation in which two ratios are set equal to each other is called as proportion.

Here, Brianna has a container which has 0.85 L of liquid in it.

Brianna needs to use 0.2 of this liquid.

Assume that 0.85 L represents the 100% of the liquid.

Then 0.2 represents 0.2 × 100 = 20% of the liquid .

Let Brianna will use x liters of liquid.

Consider a proportion.

[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]

0.0085 = x/20

x = 0.0085 × 20

x = 0.17 liters

so, she will use 0.17 liters of liquid.

Learn more about the proportion here:

https://brainly.com/question/29774220

#SPJ4

2x - 4y + 9 is the equation of the line in standard form.

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

Learn more about standard form

https://brainly.com/question/29000730

#SPJ1

Amount is paid for a tip = $1.48 that is 15% of the total cost.

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

To know more about tip visit:

https://brainly.com/question/17142182

#SPJ1

Answer:

First Newton's Law of motion

Step-by-step explanation:

a body will remain in it's constant motion or at rest unless acted upon by an external force.

Answer:

b

Step-by-step explanation:

Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Please let me know if this helped!!!

Scott receive 39-26= 13 dollar  when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.

Money is defined as something that serves as a medium of exchange.

Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.

1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.

2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.

3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years

Lat Friday Scott had $26.

Over the weekend he received ome money for babyitting.

He now ha $39.

Scott receive 39-26= 13 dollar

learn more about of money here

https://brainly.com/question/4372601

#SPJ4

The quadrilateral ABCD indicates that it is a rhombus.

A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.

The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically

Lets mark the given points onto a graph

As you can see in the graph,

The points given for quadrilateral ABCD indicates that its is a rhombus

As, All sides are equal

opposites sides are parallel

Thus, The quadrilateral ABCD indicates that it is a rhombus.

Learn more about rhombus

https://brainly.com/question/27870968

#SPJ1

Step-by-step explanation:

division so like it would go in 3 times I think

Answer:

2):  x - $31 = $69

Step-by-step explanation:

See attached worksheet.  The derivation of the answer, x - $69 = $31 (then x = $100) is shown.  Convert the written question into an equation:  If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:

   x - $69 = $31

This can be rearranged to:  x - $31 = $69, the second answer option.  Other options have errors, noted by the red circles.  There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.

Answer:

B)  Let x = amount paid to cashier

         x - $31 = $69

         x = $100

Step-by-step explanation:

We want to determine the amount Lemon paid the cashier.  Therefore, the unknown variable is:

If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:

To solve the equation, add $31 to both sides:

Therefore, the amount Lemon paid the cashier was $100.