Can you get this question answered please

Can You Get This Question Answered Please

Answers

Answer 1
D, B, C, E, A

You times all the denominators of the fractions to reach one common multiple

Related Questions

A cylindrical bucket can hold approximately 301.44 in. The height of the bucket is about 6 inches. What is the diameter of the bucket to the nearest inch?

Answers

Answer:

The diameter is 8 inches

Step-by-step explanation:

This problem bothers on mensuration of solid shapes, this in particular a cylindrical

Given data

Volume of cylinder in inches v=301.44in^3

Height of the bucket h= 6 inches

Radius r=?

To solve for the diameter we neeed to solve for the radius and multiply It by 2 to get the diameter

We know that the volume of a cylinder is given as

v= πr^2h

301.44= 3.142*r^2*6

301.44= 18.85*r^2

r^2= 301.44/18.85

r^2= 15.99

r=√15.99

r=3.998in

We know that the

diameter d =2r

Therefore d= 3.99*2

d= 7.997in

≈ d = 8 inches

In the Volume of Pyramids section, a right square pyramid has a slant height of 5cm and a base edge length of 6cm. Select all that apply. *
B = 6cm
B= 36cm squared
The height and the slant height form a right triangle.
h = 4cm
h= 7cm
h = 3cm
V = 1/3Bh
V = Bh
V = 144 cm cubed
V = 48 cm cubed

Answers

Answer:

B= 36cm squared

h = 4 cm

V = 48 cm cubed

Step-by-step explanation:

A square pyramid has a square base. The edge length are all equal.

Given that:

base length (b) = 6 cm and slant height (l) = 5 cm.

The height and the slant height form a right triangle i.e the slant height is the hypotenuse, the base of the triangle is the distance from the center of the square to the edge which is half of the base length (b/2). The height of the pyramid (h) is given as:

l² = h² + (b/2)²

h² = l² - (b/2)²

h² = 5² - (6/2)²

h² = 25 - 9

h = √16 = 4 cm

The area of the base = b² = 6² = 36 cm²

The volume of the pyramid (V) = 1/3 × b² × h = 1/3 × 6² × 4 = 48 cm³

Does it matter when finding if a slope is positive or negative if the line
goes through the origin?​

Answers

No it does not matter it just depends on the direction of the line. so even if it’s positive or negative it doesn’t matter where it’s coming from

The five-number summary suggests that about 75\%75%75, percent of salons in Jamesville have fewer than how many stylists employed?

Answers

Answer:

15

Step-by-step explanation:

khna academy

Find the area of the figure. PLEASSEEEEEEEE!!!!!!!!

Answers

Given:

side length = 6 ft

To find:

The area of the figure

Solution:

Area of the square = side × side

                               = 6 × 6

Area of the square = 36 ft²

Diameter of the semi-circle = 6 ft

Radius of the semi-circle = 6 ÷ 2 = 3 ft

Area of the semi-circle = [tex]\frac{1}{2} \pi r^2[/tex]

                                      [tex]$=\frac{1}{2} \times 3.14 \times 3^2[/tex]

Area of the semi-circle = 14.13 ft²

Area of the figure = Area of the square - Area of the semi-circle

                              = 36 ft² - 14.13 ft²

                              = 21.87 ft²

Area of the figure = 21.9 ft²

The area of the figure is 21.9 ft².

What’s the answer to this

Answers

Answer:

Slope = -2/3 (Answer choice "a.")

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

y = -2/3x +5

This is in the form y = mx+b where m is the slope and b is the y intercept

-2/3 is the slope

The line perpendicular has a negative reciprocal slope or - 1 over the slope

- 1 /(-2/3)

-1 * (-3/2)

3/2

The slope of the line that is perpendicular is 3/2

For the data set below which of the following measures is greatest? 3,3,4,5,6,8,16,20

Answers

In this question, the student is asked to compare mean, median, mode, and range for a given data set. Among these measures, the range, being 17, is the greatest.

The question given is asking for the greatest measure among the data set, which is 3,3,4,5,6,8,16,20. The measures being referred to are likely statistical measures such as mean, median, mode, and range.

The mean is the sum of all the numbers divided by the total count of the numbers, the median is the middle value when the numbers are arranged in order, the mode is the number that appears most frequently, and the range is the difference between the largest and smallest numbers.

To find the mean, we calculate (3+3+4+5+6+8+16+20)/8=7.875. The median is the average of the two middle numbers since we have an even count, (5+6)/2 = 5.5. This data set's mode is 3 since 3 repeats only. The range is 20 - 3 = 17.

Comparing these measures, we see that the range, with a value of 17, is the greatest.

For the angles shown in the diagram, which statements are true? Select all that apply.

A.The sum of m∠3 and m∠4 is 180°.

B.The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle.

C.∠3 is supplementary to ∠1.

D.m∠4 = m∠1 + m∠2.

E.m∠1 + m∠2 + m∠3 = 180

Answers

Answer:

A, D, E

Step-by-step explanation:

i just did it

The statements that are true include:

A.The sum of m∠3 and m∠4 is 180°.D.m∠4 = m∠1 + m∠2.E. m∠1 + m∠2 + m∠3 = 180°

It should be noted that the sum of angles that are in a triangle equals 180°. Therefore, m∠1 + m∠2 + m∠3 = 180°.

Also, the sum of m∠3 and m∠4 is 180°. This is because the angle on a straight line equals 180°.

Read related link on:

https://brainly.com/question/15961277

Which of the following describes a positive correlation? As the number of hours spent on homework increases, the tests scores increase. As the number of times going to bed early increases, the number of times waking up late decreases. As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same. The amount of time a team spent practicing increases, the number of games lost in a season decreases.

Answers

Answer:

As the number of hours spent on homework increases, the tests scores increase.

Step-by-step explanation:

because the independent variable and dependent variable are both increasing.

Final answer:

The statement "As the number of hours spent on homework increases, the test scores increase" best describes a positive correlation, where two variables increase together.

Explanation:

A positive correlation is described as a relationship in which the increase in one variable leads to the increase in another variable. Looking at the situations you provided, the scenario, "As the number of hours spent on homework increases, the test scores increase," clearly illustrates a positive correlation. More hours of homework tend to result in higher test scores, suggesting that the two variables change in the same direction.

A negative correlation involves an inverse relationship where an increase in one variable leads to a decrease in the other. For example, "As the number of times going to bed early increases, the number of times waking up late decreases," is a negative correlation because the variables move in opposite directions.

No correlation occurs when the changes in one variable do not relate to changes in another variable, such as "As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same." Here, there is no consistent pattern of increase or decrease between apple consumption and doctor visits.

Please Help, Look at attachments. Could you Please explain also.

Answers

Answer:

true, false, true, false

Step-by-step explanation:

On a graph, you can see wether or not you have a function by doing the VLT, or vertical line test. Hold a pen or pencil vertically on the paper on move it from left to right. If no 2 points touch the pencil at once, it's a function.

Another way to find out is if any two different points have the same x coordinate. If there is a match, this is not a function. For example, 3,4 and 3,9 cause the graph to not be a function.

What equation has a constant of proportionality equal to 1/2

Answers

Answer:

Y = 10/5x

10 divided by 5 = 2

Step-by-step explanation:


Enter the slope-intercept equation of the line that has the same slope as y - 3 = (x + 3) and contains
the point (8,4). Complete the explanation of how you found the equation.
y= ;l used the general form of a line in slope-intercept form, or y=mx+
b w The
slope, m, is .Then, I substituted for x and fory into the standard form and solved
for b, which is


HELLPPP please

Answers

Given:

[tex]y-3=\frac{1}{2}(x+3)[/tex]

Point = (8, 4)

To find:

The slope-intercept form of the equation of the line.

Solution:

[tex]$y-3=\frac{1}{2}(x+3)[/tex]

Slope of this line = [tex]\frac{1}{2}[/tex].

Slope of the line is same as the slope of  [tex]y-3=\frac{1}{2}(x+3)[/tex].

Slope of the line (m) = [tex]\frac{1}{2}[/tex]

General form of line:

y = mx + b

[tex]y=\frac{1}{2} x+b[/tex] ---------- (1)

It contains the point (8, 4). Substitute x = 8 and y = 4 in (1).

[tex]4=\frac{1}{2}( 8)+b[/tex]

[tex]4=4+b[/tex]

Subtract 4 from both sides, we get

b = 0

Substitute b = 0 in (1).

Equation of the line:

[tex]y=\frac{1}{2} x+0[/tex]

[tex]$y=\frac{1}{2} x[/tex]

Complete the sentence:

[tex]y=\frac{1}{2} x[/tex]; I used the general form of a line in slope-intercept form, y = mx + b. The slope, m is [tex]\frac{1}{2}[/tex]. Then I substituted 8 for x and 4 for y into the standard form and solved for b, which is 0.

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
the volume of the composite figure? Use 3.14 for Round to the nearest hundredth.
5 mm
10 mm
Recall the formulas y-Bhand V-
376.80 cubic millimeters
847 80 cubic millimeters
1.177 50 cubic millimeters
1308 33 cubic millimeters

Answers

Answer:

Rounded to the nearest hundredth the volume of the composite figure is:

1308 33 cubic millimeters

Explanation:

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

[tex]V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height[/tex]

While the volume of half a sphere is:

[tex]V_{hs}=\frac{2}{3}\pi r^3[/tex]

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

[tex]V_{s}=\frac{4}{3}\pi r^3[/tex]

Then, the composite figure is:

[tex]V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)[/tex]

The radius of the cylinder is the same of the radius of each half sphere. So:

[tex]r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}[/tex]

Could someone please help me with this?

Answers

Answer:

18000

Step-by-step explanation:

It was 75.5 degrees Fahrenheit and 2 hours later, the temperature dropped 15.1 degrees Fahrenheit. What is the new temperature?​

Answers

Answer:

60.4

Step-by-step explanation:

75.5-15.1=60.4

Answer:

60.4*F.

Step-by-step explanation:

75.5-15.1=60.4

WILL MARK BRAINLIEST
In which quadrants do solutions for the inequality y>1/5x+3
A) l and ll
B) I,ll, and lll
C)l,lll, and lV
D) All four quadrants

Answers

Answer:B is your correct answer

Step-by-step explanation:

I TOOK THE TEXT AND GOT A HUNDRED

100 points and brainliest, need this quick

pplleeaassee

This sphere has a diameter of 5 m.


A sphere with diameter 5 meters.


What is the volume of the sphere?

V = StartFraction 9 Over 2 EndFraction pim3

V = StartFraction 125 Over 6 Endfraction pim3

V = StartFraction 500 Over 3 EndFraction pim3

V = StartFraction 4,000 Over 3 EndFractionm3

Answers

9514 1404 393

Answer:

  (b) (125/6)π m³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³ . . . radius r

The radius is half the diameter, so is (5/2) m. Then the volume is ...

  V = (4/3)π(5/2 m)³ = (4/3)(125/8)π m³ = (125/6)π m³

Use grid paper to find the median of the data.
9,7,2,4,3,5,9,6,8,0,3,8
The median is....

Answers

You want to put the numbers in order from least to greatest like this-
0,2,3,3,4,5,6,7,8,8,9,9
then you want to start from the left end and the right end then you start crossing them off until you have a median, you keep crossing off until you get 5 and 6 in the middle, now you have to find the mean of the two numbers you add them together than you divide by 2 like this- 5+6=11 11/2=5.5
5.5 is your answer

The median of the data is 5.5.

Calculation of the median:

Since the sequence is 9,7,2,4,3,5,9,6,8,0,3,8

We have to arrange the above sequence in the smaller to largerst number

i.e.

0,2,3,3,4,5,6,7,8,8,9,9

So since 5 and 6 are in middle

So, the median is

[tex]= (5 + 6)\div 2[/tex]

= 5.5

Therefore, The median of the data is 5.5.

Learn more about median here: https://brainly.com/question/19822673

helllloo plss help asap it would mean alottttt
plss helppp asap

Answers

Answer: The point will move across the Y- axis

Step-by-step explanation:

When the X coordinate's sign is changed, then the coordinate will be reflected over the Y-axis, becoming equidistant from the Y-axis.

An office building has the dimensions shown.
What is the volume of the building?
2. 50 m
10 m
110 m
90 m
70 m

Answers

What are the dimensions

Which of the following does not represent a function?

Answers

Answer:

It would be the third one

Answer:

The third one.

Step-by-step explanation:

write y=3x-5 in function notation

Answers

Answer:

f(x) = 3x -5 is your answer

Step-by-step explanation:

f(x)=3x-5 is the function notation of the equation  y=3x-5.

The equation y=3x−5 can be written in function notation as: f(x)=3x−5.

In function notation, we use f(x) to represent the dependent variable (usually y), and  x remains the independent variable.

So, the function f(x) takes an input x, multiplies it by 3, and then subtracts 5 to determine the corresponding output y.

Hence, the equation y=3x-5 in function notation is f(x)=3x-5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Prove: If a point on a circle is equidistant from two radii, then the radius from the point bisects the angle formed by the two given radii.

Answers

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

OA+OB=radii of circle O

Point P is equidistant from radii OA and OB ----> given problem

so

PA=PB

OP is a common side

Triangle OAP is congruent to Triangle OBP by SSS Postulate Theorem

Remember that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

That means

[tex]m\angle POA=m\angle POB[/tex]

therefore

The radius from the point (PO) bisects the angle formed by the two given radii (angle ∠AOB)

Sixty percent of what number is equal to 45 percent of 80?

Answers

Answer:

60

Step-by-step explanation:

60% * x = 45% * 80

Changing to decimal form

.60x = .45 *80

.60x =36

Divide each side by .60

.60x/.60 = 36/.60

x =60

Answer:

60

Step-by-step explanation:

Calculate the exact lengths of segment e and segment f. Which is longer?

Answers

Answer:

Step-by-step explanation:

(We use the pythagorean theorem)

3-(-1) = 4

-2-1 = -3

4x4 + -3 x -3 = 16 x 9 = 144

line e: 12

2-(-1) = 3

2-(-1) = 3

3x3 + 3x3 = 9 x 9 = 81

line f: 9

Therefore, line e is longer!

Hope this helps!   .ω.

Please give me brainliest :<

Final answer:

Without specific figures or numerical data, we cannot conclusively calculate the exact lengths of segments e and f. However, geometric principles suggest that segment f, if similar to a hypotenuse, would be longer. Accurate measurement or calculations based on the context (geometry, trigonometry, physical surveying) are required to determine the length of segments.

Explanation:

To calculate the exact lengths of segment e and segment f, we need more specific information from the given figures. However, based on the information provided, we can infer certain principles that could lead us to a conclusion. The hypotenuse of a right-angle triangle, as mentioned, is always the longest side, which implies that the length of segment f, being akin to a hypotenuse, would be longer than segment e if these segments were sides of a right-angled triangle. Additionally, the concept of eccentricity described for an ellipse informs us about the ratio of distances and could be applied if the segments were part of an elliptical geometry. The surveyor's tapes information suggests that lengths must be measured accurately, taking into account environmental factors such as temperature, because this can affect the length measurements. Without specific numerical data or figures to reference, we cannot determine with certainty which segment is longer, but the principles outlined can guide us to make an educated conclusion once all data is available.

In general, when comparing two segments to determine which is longer, measurement tools or mathematical calculations are utilized based on the context, such as geometry, trigonometry, or physical measurement in the case of surveying. As per the given text, if the discussion revolves around visual illusions where segments appear different in length despite being the same, then careful measurement is necessary to establish their actual lengths.

What is the slope of the linear function represented in
the table?
-7

Answers

Answer:

The function is linear; therefore, the slope of the line joining any two points is the same. We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).

Answer:

1/7

i took the quiz already

-5(c-2)=20-5c+10

A. 4 B. Null Set C. 1 D. -1

Answers

B. Null Set
i’m pretty sure

WILL MARK BRAINLIEST! HELP PLEASE!
Ashley runs 5/8 miles in 4 minutes 30 seconds. Josh runs 3/4 miles in 5 minutes 15 seconds. Explain how you can tell who is the faster runner.
Please explain!

Answers

Answer:

Ashley is faster.

Step-by-step explanation:

I find it is easiest to convert into decimals.

Ashley ran 5/8 mile in 4 1/2 minutes.

5/8  is 0.625

Josh ran 3/4 mile in 5 minutes 15 seconds.

3/4 is 0.75

It looks like Josh won because his number is closer to 100, but, Ashley ran 0.625 mile faster than he ran 0.75 mile.

But then again, Josh ran more than her. Who won? Here is the answer.

Josh can run 0.75 mile in 5 minutes 15 seconds.

Ashley can run 0.625 miles in 4 1/2 minutes.

(4 + 1/2) ÷ 0.625 = 7.2

(5 + .15)  ÷ 0.75 = 6.8

7.2 is more & closer to 10.

So to sum it up, Ashley is faster.

Final answer:

To determine who's the faster runner, we calculate the speed of each runner by dividing the distance they run by the time it takes. Josh is slightly faster than Ashley because he covers more distance per minute.

Explanation:

In this problem, we are comparing the speeds of Ashley and Josh. Speed is calculated by dividing the distance traveled by the time it took to travel that distance. In Ashley's case, she runs 5/8 miles in 4 minutes and 30 seconds, or 4.5 minutes. So, her speed is (5/8) / 4.5 = 0.139 miles per minute.

Josh runs 3/4 miles in 5 minutes and 15 seconds, or 5.25 minutes. His speed is then (3/4) / 5.25 = 0.143 miles per minute.

We can see that Josh is slightly faster than Ashley because his speed (0.143 miles per minute) is higher than Ashley's speed (0.139 miles per minute).

Learn more about Speed Comparison here:

https://brainly.com/question/33844670

#SPJ3

the crazy coaster has 3 trains , each train holds 27 people and runs 9 times in 1 hour . If the crazy coaster operates for 13 hours a day how many people can ride it each day ?

Answers

The answer should be 9,477

Explanation:
3x27=81 (how many people in each run)
81x9=729 (how many people after each hour)
729x13=9,477 (Each hour multiplied by the amount of people that can ride)
I hope this helps!
Final answer:

Given that the crazy coaster has 3 trains each holding 27 people and runs 9 times in 1 hour, and also operates for 13 hours a day, it can carry a total of 9,477 people in a day.

Explanation:

To figure out how many people can ride the crazy coaster each day, we need to multiply all the related factors together. First, we consider the passengers each train can carry. Each of the 3 trains can hold 27 people which makes 81 people (3 trains multiplied by 27 people each). Then, each of these trains runs 9 times in 1 hour, so that's 81 people multiplied by 9 runs, which makes 729 people per hour. Since the crazy coaster operates for 13 hours a day, that's 729 people multiplied by 13 hours, which equals 9,477 people. Therefore, a total of 9,477 people can ride the crazy coaster each day, assuming every train is full on every run.

Learn more about Multiplication and Word Problems here:

https://brainly.com/question/41394143

#SPJ12

Can three segments with length 4 cm, 6 cm, and 11 cm be assembled to form an acute triangle, a right triangle, or an obtuse triangle? Explain.

Answers

Answer:

No

Step-by-step explanation:

Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.

Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.

Using triangle concepts, it is found that the sides with these lengths cannot form a triangle.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the larger side.

In this problem:

The smaller sides have lengths: 4 cm and 6 cm.The larger side has length: 11 cm.

[tex]4 + 6 = 10 < 11[/tex]

Since the larger side length is greater than the sum of the lengths of the smaller sides, a triangle cannot be formed.

A similar problem is given at https://brainly.com/question/305520

Other Questions
1. What causes Romeo and Benvolio tofind out about the Capulets' party? An oval track is made by erecting semicircles on each end of a 46 m by 92 m rectangle. Find the length of the track andthe area enclosed by the track. i need help please!!!!!!! Explain using complete sentences where on the HR diagram you would expect to find a main sequence star based on its physical properties. Lean AccountingThe annual budgeted conversion costs for a lean cell are $180,000 for 2,000 production hours. Each unit produced by the cell requires 18 minutes of cell process time. During the month, 550 units are manufactured in the cell. The estimated materials costs are $32 per unit. Provide the following journal entries:a. Materials are purchased to produce 600 units.b. Conversion costs are applied to 550 units of production.c. 500 units are completed and placed into finished goods.a.Raw and In Process InventoryAccounts Payableb.Raw and In Process InventoryConversion Costsc.Finished Goods InventoryRaw and In Process Inventory A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag atrandom. How many possible outcomes are there?35614 Why has Earth's climate changed so rapidly in recent years?(a)The sun has gotten much hotter.(b)People are eating too many plants.(c) People are burning too many fossil fuels.(D) The Earth is rotating too slowly to cool off effectively Here are the numbers of times 8 people ate out last month.5, 6, 3, 3, 4, 4, 7, 7Find the modes of this data set.If there is more than one mode, write them separated by commas.If there is no mode, click on "No mode." Which topology connects all the computers in a circular pattern?A. mesh topologyB. ring topologyC. star topologystar topologyD. bus topology What were interactions between pioneers and Native Americans like? Consider the four numbers a, b, c, d with a b c d, where a, b, c, d are integers. The mean of the four numbers is 4.The mode is 3. The median is 3.The range is 6. Find d The present value of a future amount of money is the amount that Appeasement was a popular policy because European leaders From this combustion equation, 2CH22 + 3102 - 22H,0 + 2000, calculate the liters ofcarbon dioxide produced when 16.9 grams of CH are combusted Suppose a manufacturer makes two types of skis: a trick ski and a slalom ski. Each trick ski requires 8 hours of design work and 4 hours of finishing. Each slalom ski requires 8 hours of design and 12 hours of finishing. Furthermore, the total number of hours allocated for design work is 160 and the total available for finishing work is 180. Finally, the number of tricks skis produced must be less than or equal to 15. How many trick and slalom skis can be made under these conditions? The profit on each trick ski is $5 and the profit on each slalom ski is $10. The diagram shows two different buttons and their weights.12 grams8 gramsc)How many of each type of button are in the box? Find the correct result.1+4=52+5=123+6=215+8= Lumber has been manufactured in Texas since the early nineteenth century. In the beginning, these companies cut down all of the trees before moving on to the next area. Now many lumber companies participate in reforestation which is the natural or intentional restocking of existing forests and woodlands that have been depleted. What impact does reforestation have on the environment?A)negative - reforestation provides a sustainable plan to use a renewable resourceB)positive - reforestation provides a sustainable plan to use a renewable resourceC)negative - reforestation provides a sustainable plan to use a nonrenewable resourceD)positive - reforestation provides a sustainable plan to use a nonrenewable resource Justin opened a savings account with $500. He plans to save $50 per week from his paycheck. Which equation would represent his total balance, y, after x weeks of saving?A . x = 50y + 500B . y = xC .y = 500x + 50D. y = 50x + 500 Danny brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Danny had $4.50 left over after buying these items. What was the cost of each item?