Emmy used one-centimeter cubes to build a larger cube. The edges of Emmy's cube are 3 centimeters long. Tim has a cube-shaped box with edges that are 3 times as long as the edges of Emmy's cube. How much larger in volume is Tim's box than Emmy's cube?
Answers
Answer:
Tim's box volume is 27 times greater than Emmy's.
Step-by-step explanation:
The volume of a cube is given by the following expression:
volume = l³
Since Emmy's cube have a 3 centimeters long edge, then it's volume is:
volume1 = 3³ = 27 cm³
On the other hand Tim's cube has an edge that is 3 times as long as Emmy's, so it's 9 centimeters long. Therefore it's volume is:
volume2 = 9³ = 729 cm³
The relation between the volume is given by:
ratio = volume2/volume1 = 729/27 = 27
Tim's box volume is 27 times greater than Emmy's.
Related Questions
After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2 inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide. What will the total volume of the wedding cake be?
PLZ HURRY WILL MARK BRAINLIEST
Answers
1st layer: 2 1/2 x 12 x 10
2nd layer: 2 1/2 x 10 x 8
3rd layer: 2 1/2 x 8 x 6
And to make the math easier, turn 2 1/2 into 2.5. They still equal the same thing, but this makes it easier to multiply. Hope this helps!
This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.
How much of the new material is needed to build all 8 containers?
Enter your answer in the box.
Answers
Answer:
1872 ft.²
Step-by-step explanation:
First lets figure out all of the easy shapes:
The bottom one: 8 * 7 = 56
The one on the left: 5 * 8 = 40
The one of top: 8 * 3 = 24
The slanted rectangle: 5 * 8 = 40
The small rectangle below that : 2 * 8 = 16
Now we just have the polygon facing toward us. It can be broken up into 2 parts:
The lower half: 2 * 7 = 14
Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:
A = ((a + b) / 2) * h
What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:
(3 + 7) / 2 = 5 * 3 = 15
15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:
14 + 15 = 29
Then do the same again for the other identical figure
14 + 15 = 29
Now we have all the areas of our shapes. Let's add them up:
56 + 40 + 24 + 40 + 16 + 29 + 29 = 234
234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:
234 * 8 = 1872 ft.²
Don't forget to include units!
The solution is : 1872 ft.² of the new material is needed to build all 8 containers.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
First lets figure out all of the easy shapes:
The bottom one: 8 * 7 = 56
The one on the left: 5 * 8 = 40
The one of top: 8 * 3 = 24
The slanted rectangle: 5 * 8 = 40
The small rectangle below that : 2 * 8 = 16
Now we just have the polygon facing toward us. It can be broken up into 2 parts:
The lower half: 2 * 7 = 14
Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:
A = ((a + b) / 2) * h
What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:
(3 + 7) / 2 = 5 * 3 = 15
15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:
14 + 15 = 29
Then do the same again for the other identical figure
14 + 15 = 29
Now we have all the areas of our shapes. Let's add them up:
56 + 40 + 24 + 40 + 16 + 29 + 29 = 234
234 is the total surface area of the box.
Since there are 8 boxes, multiply this by 8 to get your final answer:
234 * 8 = 1872 ft.²
To learn more on Area click:
brainly.com/question/20693059
#SPJ2
You choose two different movies on a list at random. Out of 25 movies on the list, 13 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
- The probability is_____
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SOME HELP IS NEEDED!?
Answers
Answer:
Step-by-step explanation:
hicgerge
semsee45 this is your question.
In the equation x = ky^2 + m/y + 4, when x = 18 and y = 2, and when x = -3 and y = 1, find x when y = 4.
TY :) !
Answers
Solution is in da attachment mate!! :D
Terry had white and red marbles in a container. He takes out 4 marbles, without looking in the container. Is this a random sample of marbles in a container?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yess this is a random
Step-by-step explanation:
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
List all the factors of 56.
Choose one answer:
(A)1,28,56,112
(B)1,2,4,7,8,14,28,56
(C)1,2,3,6,14,28,56
Answers
1,2,4,7,8,14,28,56
Given that the measure of angle ABC is 70 degrees find the measure of angle BED.
Answers
Answer:
110 degrees
Step-by-step explanation:
ABL + ABC = 180
BED + ABC = 180 ( BED = ABL )
BED = 180 - ABC = 180 - 70 = 110
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answers
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.
Hope this helped
I almost broke my brain doing this so can you give me brainliest answer please thank you
Help...
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the outer and inner circumference of the coin? Check all that apply.
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Add the two diameters and multiply by 3107-11-05-20-05-task
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
P.S fr33 points, I know the answers ;)
Answers
Answer:
Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Show that the ratios
10/20
and
30/60
form a proportion by finding a common multiplier.
Show that the ratios in part (a) are equal by writing them in simplest form.
Answers
Answer:
Step-by-step explanation:
(A) We need to show both fraction of same proportion.
Ratio 1:
If we multiply by 3 at numerator and denominator
(B) Now we simplify both ration into simplest form
Step-by-step explanation:
Solve the equation:
3x + 1 over 4y2
Please help
Answers
Answer:
you cannot answer this
Step-by-step explanation:
PLSSS HELP MEEEE its simple volume of a triangular pyramid
Answers
Answer:700
Step-by-step explanation:
The base of the Triangular prism is 140
14 x 10 = 140
The volume
volume = L x w x h or b x h
140 x 5 = 700
the base is 140
The height is 5
The volume is 700
Base is L x W
Quadrilateral EFGH was dilated with the origin as the center of dilation to create quadrilateral E'F'G'H'. The quadrilateral was dilated using a scale factor of 2.5. The coordinates of the vertices of quadrilateral E F G H are given. What are the coordinates of G' ?
Answers
Answer: 6.25,-5
Step-by-step explanation:
all you have to do is go along the x and then the y-axis. the point is roughly 6.25 and because the y-axis is below 0 it will be minus therefore -5.
Adding fractions with unlike Denominators and Subtracting fractions (PLEASE HELP ME ASAP AND PLEASE ANSWER ALL)
Answers
Answer:1.27,2.83,3.73.
Step-by-step explanation: 1.27 becuase when you add and subtract
2. 25/50
3. 9/18 = 1/2
4. 8/12 = 4/6 = 2/3
5. 88/54 = 1 34/54
6. 26/24 = 1 2/24 = 1 1/12
7. 14/80 = 7/40
8. 3/6 = 1/2
so basically you can just tell me where the boxes go and bam you get 20 points
Answers
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45
A comet travelling through space at a rate of 75 miles per hour has just flown into a huge amount of space dust. This dust decreases the speed of the comet by 15 miles every hour, until it completely stops moving. Which are the domain and range of the linear function that represents this relationship?
Answers
Answer:
Linear function: y = -15x + 75
Domain: x ≤ 5
Range: y ≥ 0
Please tell me if there are any mistakes in my answer and I will correct them.
Step-by-step explanation:
The linear function is y = -15x + 75, written in y=mx+b form. X is the amount of hours. Since the speed is decreasing, we will use -15. Since we started at 75 miles per hour, our b value will be 75.
DomainThe domain is all the possible values for x.
Since the comet slows down by 15 miles every hour until it stops moving, we can solve for x by putting in 0 for y.
0 = -15x + 75
15x = 75
x = 5
Therefore, the domain is x ≤ 5.
RangeThe range is the set of all possible values of y. In this case, the range can be anything but 0 in order for the equation to make sense.
So, the range is y ≥ 0.
Answer:
domain is 0,5
Step-by-step explanation:
after 5 hours, it stops moving
Please HELPPPP I really need it
Answers
Answer:
7(2m - 3n) and 14m - 21n
Step-by-step explanation:
multiply 7 by 2m - 3n
14m - 21n = 14m - 21n
At 78°F, a certain insect chirps at a rate of 106 times per minute, and at 81°F, they chirp 112 times per minute. Write an equation in slope-intercept form that represents the situation.
Answers
Answer:
y=2x-50
Step-by-step explanation:
\(m=\frac{y^2-y^1}{x^2-x^1} = \frac{112-106}{81-78} =\frac{6}{3} =2\)
slope-intercept formula(substitute 81 for x, 112 for y, and 2 for m:
y=mx+b
112=2(81)+b
112=162+b
Then subtract 162 from both sides, and b=-50
Plug in all numbers into original equation
y=mx+b m=2 b= -50
So u get y=2x-50
Answer:
y = (1/2)x + 25 or y = 0.5x + 25
Step-by-step explanation:
I used a online calculator that is reliable.
Please help! I am so confused!
Answers
Answer:Since the data values have a spread of 69 cm, intervals with a range of 10 to 20 cm are reasonable
Step-by-step explanationl:The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
A trapezoid’s longer base is three times the length of its shorter base. If the trapezoid has an area of 32 square feet and a height of 4 feet, what is the length of each base?
Answers
Answer:
longer base: 10 2/3
shorter base: 5 1/3
Step-by-step explanation:
you first take 32 divided by 4 and then multiply that by 2 and you get 16 and then you divide that by 3 and you get 5 1/3 but then the longer one is 5 1/3 plus 5 1/3 (i hope that makes sense)
hi! my problem is: 6 x + 5 ≤ 11
we're solving and graphing inequalities (would really appreciate it if yall gave step by step solutions)
Answers
Answer:
x ≤ 1
Step-by-step explanation:
Step 1: Subtract 5 from both sides.
6x+5 −5 ≤ 11 −5
6x ≤ 6
Step 2: Divide both sides by 6.
6x/6 ≤ 6/6 =
x ≤ 1
Graphing on a number line:
‹__________________•_________›
−9−8−7−6−5−4−3−2−1 0 1 2 3 4 5
Answer:
i have the same question :(((((
Step-by-step explanation:
PLEASE HELP ME, LOOK AT THE PICTURE
no wrong answers please :(
Answers
Answer: 1/9
Step-by-step explanation:
There are 3 possibilities of it landing on 7 (greater than 6), is 1/3 alone. Then adding on landing on 5, right after, you have 1/9.
Problem Solving:Simulate a Problem (PLEASE HELP)
Answers
question 3:
2 dimes
3 nickels
3 pennies.
one of my savvas questions
Answers
Ms. Tanaka drove 252 miles on 12 gallons of gas. If she continues driving at the same rate, how far can Ms. Tanaka drive on 16 gallons of gas?
Answers
Answer: 336 miles
Step-by-step explanation: The reason I know is that I divided 252 by 12 and got 21 and multiplied 21 by 16 and got 336
Umm I need some help pleaseeeeee
Answers
Answer:
Step-by-step explanation:
Elvin
At the beginning of the season, Jamie pays full price for a ticket to see Panters, her favorite baseball team. The Panthers currently have 33 wins and 31 losses. A. Represent the total change in the cost of a ticket given in their losses. B. What is the cost of a ticket for the next game they play?
Answers
Answer:
oof
Step-by-step explanation:
Answer:
40
57
Step-by-step explanation:
15 points!! Will mark brainliest.
Answers
Answer:
The answer would be option 2.
Now you divide both sides of the inequality by -7 and flip the inequality sign
x+3 ≥-4
x ≥-4-3
x ≥-7
Is your answer so it’s going to be letter B possibly