Mathematics Middle School

after painting his porch jamil had a 1/4 can of paint left the radius of the can is 8 cm and the height is 20 cm he wants to put the remaining paint into a smaller can with a radius of 5 cm
what does the height of the smaller can need to be to hold all the paint.

Answers

Answer 1

Answer:

The height of small can need to be 12.8 cm to hold all the paint

Step-by-step explanation:

- Jamil had a 1/4 can of paint left

- The radius of the can is 8 cm and its height is 20 cm

- He wants to put the remaining paint into a smaller can with a

 radius of 5 cm

- We need to find the height of the smaller can

- The volume of the paint in the larger can is the same volume of paint

  will put in the smaller can

- Lets find the volume of the paint in the larger can

∵ The volume of the paint in the larger can = 1/4 its volume

∵ The can is shaped a cylinder

∵ Volume the cylinder = πr²h, where r is the radius of it and h its height

∵ r = 8 cm and h = 20 cm

∴ The volume of the paint = [tex]\frac{1}{4}\pi (8)^{2}(20)=320\pi[/tex] cm³

- Same amount of paint will put in the smaller can

∵ r = 5 cm and V = 320π cm³

∴ 320π = π(5)²h

- Divide both sides by π

∴ 320 = 25 h

- divide both sides by 25

∴ h = 12.8 cm

* The height of small can need to be 12.8 cm to hold all the paint

Answer 2

The height of the smaller can need to be to hold all the paint will be 12.8 cm.The term height is frequently used to describe someone's or something's height.

What is the height?

Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.

From the given conditions;

The volume of the paint in the larger can is,[tex]\rm V_L[/tex]

The volume of the paint in the smaller can is,[tex]\rm V_S[/tex]

The volume of the cylinder is, V

The radius of the can is,r= 8 cm

The height is,h=20 cm

The volume of the paint in the larger can is found as;

[tex]\rm V_L = \frac{1}{4} V \\\\ V=\pi r^2 h \\\\ V_L= \frac{1}{4} \pi (8)^2 (20) \\\\ V_L = 320 \pi \ cm^3[/tex]

The volume of the larger can is equal to the volume of the smaller can;

[tex]\rm V_S = V_L \\\\ 320 \ \pi \ cm^3=\pi r^2 h \\\\ \pi \ cm^3=\pi (5)^2 h \\\\ 320=25h \\\\ h =12.8 \ cm[/tex]

Hence the height of the smaller can need to be to hold all the paint will be 12.8 cm.

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Related Questions

What is the approximate area of a 120° sector of a circle whose radius is 6 ft? Use 3.14 for π . 37.68 ​ ft2 ​ ​​6.28 ft2 ​​ ​​20 ​ ft2 ​ 33.6 ​ ft2 ​

Answers

The area of the sector is 12π units².
The answer to the question is 12 pi

dennis wants to buy a card for his wife. dennis calculates the amount of the card as $4.50. the actual price of the card is $4. what is Dennis's percent error?

Answers

First, calculate the error by subtracting the actual price from the estimated price. So the error is $4.50 - $4 = $.50. 
To find the percent error, divide the error by the actual price and multiply by 100 %. Hence, $.50/$4 =.125 x 100 = 12.5 %.
Dennis' percent error is 12.5 %.

Final answer:

Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.

Explanation:

Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.

Here's how we'll calculate it:

Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.

Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.

The percent error in Dennis's estimate is 12.5%.

•WILL GIVE BRAINLIEST!•

The chart shows the numbers of lines Ana and Daris used in poems they wrote.

Based on the data, which statement is true?

A. In Ana’s data, the median is closer to the mean than in Daris’s data.

B. In both sets of data, the mode is greater than the median

C. In both sets of data, the mode is equal to the median

D. In Daris’s data, the median is closer to the mean than in Ana’s data

Answers

B. mode is greatee than the median

Based on the data, the true statement:

In Ana’s data, the median is closer to the mean than in Daris’s data.

What is the median?

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of the data point. To find the median first arrange the data points in ascending order.

Given:

The chart shows the number of lines Ana and Daris used in their poems.

In Ana's data;

the median = 30

The mean = 36 and the mode = 30

In Daris's data;

the median = 50

The mean = 39 and the mode = 10.

From the given choices;

In Ana’s data, the median is closer to the mean than in Daris’s data.

Therefore, the median is closer to the mean.

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You and your friend are selling tickets to a charity event. You sell 4 adult tickets and 11 student tickets for $148. Your friend sells 7 adult tickets and 5 student tickets for $145. What is the cost of a student ticket?

Answers

4x + 11y = 148
7x +  5y = 145

multiply first equation by 7 and second by -4:-

28x + 77y = 1036
-28x - 20y = -580      Adding:-

0 + 57y = 456

y = 456 / 57 =  8

Cost of a student ticket = $8  Answer

Christopher Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn. If Christopher buys 12 balls of yarn, how many scarves can he make

Answers

2/3=.6 repeating
12/.6 repeating = 18
13 balls of yarn would be used to make 18 scarves.
Hello!

Let's convert 2/3 to a decimal and then divide 12 balls of yarn by that.

To convert a fraction to a decimal, we must divide its numerator by its denominator.

2 ÷ 3 = 0.67 (6 Repeating)

Now, divide 12 yarn balls by this:

12 ÷ 0.67 (Repeating) = 17.91 (Repeating decimal)

A N S W E R:

Christopher can make 18 scarves with 12 balls of yarn.

Wesley walked 11 miles in 4 hours if he walked the same distance every hour , how far did he walk in one hour

Answers

You would multiply 11 by 4 because he walked 11 miles for every hour so your answer is 44

Wesley walked 2.75 miles in one hour, calculated by dividing the total distance (11 miles) by the total time (4 hours).

The question asks how far Wesley walked in one hour if he walked 11 miles in 4 hours at a consistent pace. To find this, we can calculate his average speed by dividing the total distance by the total time. This gives us an equation: Average speed = Total distance / Total time, which simplifies to: Average speed = 11 miles / 4 hours.

Performing the division, we get an average speed of 2.75 miles per hour. Therefore, Wesley walked 2.75 miles in one hour.

Your friend invites you to go to an indoor skateboard park. You'd like to go, but since you don't have a helmet or knee pads, you'll have to rent them. You'll also need to but a day pass to enter the park.

Write a formula that will help you determine your total cost.

Let's let:

h = helmet rental

k = knee pad rental

p = cost of day pass

c = total cost

Answers

h+k+p=c im not sure if its a correct formula, 

HELP What is the area of this figure?

Answers

The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
_________________________________________________

What is the best approximation for the area of this circle?

Use 3.14 to approximate pi.

Answers

Area = pi r^2
r = 4m
pi = 3.14

Area = 3.14 * 4*4
Area = 50.24 which means that the answer is
50.2; third one down. <<<<=====

Answer:

The answer is C

50.4m²

Step-by-step explanation:

To find the area of the circle the formular is

Formular for area of circle = πr²

π = 3.14

r = 4m

Therefore

Area = 3.14 * 4²

= 3.14 * 16

= 50.24m²

So the answer is C

50.4m²

What number could be added to 0.40 mL for the level of precision to be 0.01mL

Answers

Answer:

- 0.39

Step-by-step explanation:

Level of precision = 0.01 mL

We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .

Let x be a number  which could be added to 0.40 mL for the level of precision to be 0.01 mL .

[tex]x+0.40=0.01[/tex]

On subtracting 0.40 from both sides , we get

[tex]x+0.40-0.40=0.01-0.40[/tex]

On solving , we get

[tex]x+0=0.01-0.40[/tex]

We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .

So,

[tex]x=0.01-0.40[/tex]

Here , [tex]0.01-0.40=-0.39[/tex]

Therefore ,

[tex]x=0.01-0.40=-0.39[/tex]

Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL

Explain the Segment of Decant Theorem for Geometry

Answers

Segments from Secant and Tangents. If a tangent and secant meet at a common point outside the circle, the segments created have a similar relationship to that of two secant rays.

please help with number #22

Answers

so you have to try and elimate everything by getting a by itself. so u move all the variables with an 'a' in it. so thats ax-aw=-z-y ( dont forget to change the signs since u r moving it to the opposite side of the equation) then get 'a' by itself so its a(x-y)= -z-y then move (x-y) to the other side but now its the denominator.
so ur answer is a= -z over -x (since the y's cancel)

Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages. Jessica typically sends about 900 text messages per month. Does it make sense for her to switch to the new plan ? explain.

Answers

No, because that would mean that she is spending about $13.85 on 1 message per month. That is ridiculous lol.

Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages.

Jessica typically sends about 900 text messages per month.

Cost per message under the new plan = $65 / 900 = $ 0.072 per message

It make sense for her to switch to the new plan only if the cost per message in her existing plan is more than $ 0.072

Hope this helps..!!

Thank you :)


(A rectangular prism has a length of 1 1/4 yards, a width of 2 1/2 yards, and a height of 4 yards.

Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

Step-by-step explanation:

It is given that A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]yards a width of [tex]2\frac{1}{2}[/tex] yards, and a height of 4 yards.

Now, the volume of the prism is given as:

[tex]V=Length{\times}width{\times}height[/tex]

[tex]V=\frac{5}{4}{\times}\frac{5}{2}{\times}4[/tex]

[tex]V=\frac{25}{2}[/tex]

[tex]V=12\frac{1}{2}cubic yards[/tex]

Therefore, the volume of the rectangular prism will be [tex]V=12\frac{1}{2}cubic yards[/tex].

Answer:

V=12 1/2cubic yards.

Step-by-step explanation:

What is the value of the expression, written in standard form? (6.6x10^-2)/(3.3x10^-4)

Answers

0.066/0.00033
The answer is 200.

Answer:  Value of expression is 200.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}[/tex]

We need to use "law of exponents":

[tex]a^m\div a^n=a^{m-n}[/tex]

So, it becomes

[tex]\dfrac{6.6\times 10^{-2}}{3.3\times 10^{-4}}\\\\=2\times 10^{-2+4}\\\\=2\times 10^2\\\\=200[/tex]

Hence, Value of expression is 200.

Write the first terms of the sequence. Rule:start at 1/2,add1/3

Answers

Here are the first 3 terms of the sequence: 5/6, 1 1/6, 1 1/2

1/2+1/3=5/6
5/6+1/3=1 1/6
1 1/6+1/3=1 1/2

James has 375 coins. One-fifth of the coins are quarters. How many of his coins are not quarters?

Answers

300 of his coins are not quarters. 
Hello!

Simply divide the total amount of coins by 5, because 1/5 of the coins are quarters.

375 ÷ 5 = 75

Subtract the amount of coins that are quarters (75) from the total amount of coins (375).

375 - 75 = 300

A N S W E R:

300 of James' coins are not quarters.

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.

Answers

Greg weighs 180 and justin weighs 165

Answer:

greg weighs 180 justin weighs 165

Step-by-step explanation:

The length of a rectangle is 6 inches more than it’s with the perimeter of the rectangle is 24 inches what is the width and length of the rectangle

Answers

W= width
L= W+6= length
P= 24 inches

Perimeter= 2(W + L)
substitute L= W+6 for L
24= 2(W +(W+6)
combine like terms in parentheses
24= 2(2W + 6)
multiply 2 by all in parentheses
24= (2*2W) + (2*6)
24= 4W + 12
subtract 12 from both sides
12= 4W
divide both sides by 4
3= W

W= 3 inches
L= W+6= 3+6= 9 inches

CHECK:
24= 2(3 + 9)
24= 2(12)
24= 24

ANSWER:
W= 3 inches
L= 9 inches

Hope this helps! :)


The sum of three consecutive even numbers is 48. What are the smallest of these numbers?

Answers

the smallest no. is 14
let start with 
(x)+(x+2)+(x+4)=48
3x+6=48
3x=42
x=14

I hope this helped you :)

What shows all like terms in this expression?

4x - 3 + 7x + 1

Answers

Answer:

a

Step-by-step explanation:

Jones of Boston borrowed $40,000, 90 day, 10% note. After 60 days Jones made an initial payment of $6,000. Assuming the U.S. Rule what is adjusted balance after the first payment. Use 360 days.

Answers

check a website called math-way without the dash it might help

Need help with number 12 please, thanks.

Answers

The answer is B because the question states that the temperature at noon was 8 degrees below zero Celcius. 8 degrees below zero Celcius is written as -8 degrees.

when writing an equation of a proportional relationship in the form y equals KX what does K represent

Answers

K represents the constant

Answer:

k = the constant of proportionality .>. sorry this already kinda answered ;w;'

Who can help me with #9 a. and b.

Answers

A) 150% is also 1 1/2 times the original amount, so to find 100% of the number divide it by 3 to get 21 for the bike and 7 for the helmet, then multiply it by 2. 
The bike cost $42 and the helmet cost $14 for the company. 
B) They earned $21 for the bike and $7 for the helmet, the numbers we got earlier by dividing the other numbers by 3, which is how much they marked up prices. 

Hope this helps!

10p = 66 what is the value of p

Answers

The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.
Isolate the p

divide 10 from both sides

10p/10 = 66/10

p = 66/10

p = 6.6

6.6 is your answer

hope this helps

camerina started work at 9am and left at 230 pm how many hours of work should she record on her time card for the day

Answers

she should record 5.5 hours

Camerina worked for 5 hours and 30 minutes.

How to convert 12 hour format to 24 hour format time (military time)?

If the standard time is in am, simply remove the "am". If the hours portion is in a single digit. If the 12 hour time is in pm, we will add 12 hours amd remove pm.

According to the given question.

The work started at 9 am.

And Camerina end her work at 2:30pm.

To find the number of hours she had worked, we will subtract the started  time from the end time. But both are different one is in am and another is in pm.

So, first we have to make the time same i.e. we will convert the time in  24 hour.

So, according to 24 hour time 2:30pm  = 12: 00 + 2:30 = 14:30 hours

And 9 am = 09:00hr

Therefore,

The number of hours Camerina worked

= 14:30hr - 09:00hr

= 5 hours 30 minutes

Hence, Camerina worked for 5 hours and 30 minutes.

Find out more information about conversion of standard time in 24 hour time format here:

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A trapezoid window has a height of 18 centimeters. The bases of the window are 34 and 28 centimeters long. What is the area of the window?

Answers

The answer will be 17,136 that will be area of the window Hopes this helps. :)

The area of the trapezoid window is 396cm sq.

The area of a trapezoid window can be calculated using the formula:

Area = 1/2 x (base1 + base2) x height

Plugging in the values:

base1 = 34 cm

base2 = 28 cm

height = 18 cm

Area = 1/2 x (34 + 28) x 18 = 396 cm²

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotient of the bases to be one fourth, and cancelling common factors By finding the quotient of the bases to be one fourth, and simplifying the expression By simplifying 8 to 23 to make both powers base two, and subtracting the exponents By simplifying 8 to 23 to make both powers base two, and adding the exponents

Answers

Answer:

 we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  [tex]\frac{2^5}{8}=2^2[/tex]

8 can be rewritten as [tex]2^3[/tex]

Hence, the given expression becomes

[tex]\frac{2^5}{2^3}=2^2[/tex]

After subtracting the exponents on left hand side of the equation we get:

[tex]2^2=2^2[/tex]

we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Answer:

c

Step-by-step explanation:

We have been given the expression  2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please

Answers

The volume of a frustum of a cone is given by
.. V = (1/3)*π*h*(R^2 +r^2 +R*r)
We will assume the diameter at the bottom is 1 1/2 inch. Then the slanted part has volume
.. V = (1/3)*π*4*(2.5^2 +.75^2 +2.5*.75) ≈ 36.39 . . . . in^3

The volume of the 1-inch cylinder at the bottom is
.. V = π*(1/2)^2*1 = π/4 ≈ 0.79 . . . . in^3

Then the total volume of the cone is approximately 37.18 in^3.
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Write an expression to represent: four more than the product of three and a number xxx. read the excerpt from spring and autumnSo think the herbs I cannot pluck my fill but in the autumn-tide I cull the scarlet leave and love them dear, and let the green leaves stay with many a tear.Identify the key clues that you used to determine the meaning of the term "cull"A: herbs, scarlet, dear, stayB: love, dear, green, tearC: think, love, tear D: pluck, love, them, green, stay What led to the creation of "Two Chinas" Which of the following describes stock speculation? a. Speculation is a theory that if enough people buy stock on credit, the market will continue to rise. b. Speculation is a gamble that the price of a stock will increase and an investor will make money. c. Speculation is a belief that the price of a stock is based on reality and an investor risks no loss. d. Speculation is a review of stock prices to determine whether they accurately reflect the value of a stock. Paul, sean, and mike have each consumed four beers in the last two hours. paul weighs 220 pounds, sean weighs 165 pounds, and mike weighs 197 pounds. who has the highest blood alcohol concentration (bac) Excerpted from "The Children's Hour" by Henry Wadsworth Longfellow I hear in the chamber above me The patter of little feet, The sound of a door that is opened, And voices soft and sweet. From my study I see in the lamplight, Descending the broad hall stair, Grave Alice, and laughing Allegra, And Edith with golden hair. What is the rhyme scheme of the poem? A.abab B.abba C.abcb D.abcd Matt has 75 hundredths of a dollar. Kendra has 7 tenths of a dollar. Who has more money? Explain why the body cells of an organism can differ in structure and function, even though they all contain the same genetic information. What is the measure of JK? V = 1/3 HS^2Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Tina is conducting an investigation on bicycle helmet aerodynamics. She is trying to find out what kind of helmet causes the least amount of air resistance. She tested three different helmets, using the same rider each time. She recorded the time it took for the rider to complete one circuit on a track in the table below.HelmetTime in SecondsA35B28C41How could Tina get more reliable data for this experiment? Explain why many people in ancient west africa valued salt more than gold. Worldwide, women are ________ likely than men to live in poverty, and they are ________ likely than men to be illiterate. _____ season is when the weather is best in a locale and when many people have time off for vacation. A.Low B.High C.Shoulder D.AverageHELP PLEASEEEE The average adult needs about 8 hours of sleep each night. When should teens go to bed relative to adults if they wake up at the same time?1 to 2 hours earlier20 to 30 minutes earlier20 to 30 minutes later1 to 2 hours later What type of pollution is the greatest cause of acid rain? The presidents of which two countries were killed in a mysterious plane crash? a) Rwanda b) Burundi c) Darfur d) Cambodia e) Sudan A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building? Which transportation development had the greatest long-term impact on the American economy? Steamboat Canal system Horse-drawn cart Steam locomotive 3758.75 Divided by 303.125Please give a picture in your answer to show how u got the answer Offering lots of points and giving up lots of points.. so, please answer correctly !