PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.

PLEASE HELP 20 POINTS Stephen And Chelsea Want To Increase The Volume Of This Prism By 72 Cubic Centimeters.

Answers

Answer 1

Step-by-step explanation:

2.

- the volume of initial prism is 3*3*6=54 cm³;

- the number of cubics of the requested 72 cm³ is 72;

- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;

- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.

3.

- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;

- according to the requirement 3 layers is 16*3=48 in³; three times 16.

- according to the requirement 5 layers is 16*5=80 in³; five times 16.

- according to the requirement 7 layers is 16*7=112 in³; seven times 16.


Related Questions

How many times does the line y=-6 intersect with the circle x^2+y^2=36?

Answers

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

[tex]x^2 + y^2 = 36[/tex]

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when [tex]y = -6[/tex]

So

[tex]x^2 + y^2 = 36[/tex]

[tex]x^2 + (-6)^2 = 36[/tex]

[tex]x^2 + 36 = 36[/tex]

[tex]x^2 = 0[/tex]

[tex]x = 0[/tex]

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

Help please


look at the picture above

Answers

Answer:

6 square inches

Step-by-step explanation:

4x3=12

12/2=6

Answer:

It's 12 from what I can remember on finding the area.

Step-by-step explanation:

I'm pretty sure that you add them all together and don't quote me on this but if you add 5 and 4 you get 9 then add 3 and you get 12. Hope this helped!

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:y=x+0

Step-by-step explanation:

Please help me with an explanation so i can understand it better

Answers

Answer:

9.5

Step-by-step explanation:divide area by 12.3

i think it is right

Answer:

u= 19 miles

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given that the area is 116.85 mi² and height= 12.3 mi,

116.85= ½ ×u ×12.3

6.15u= 116.85

u= 116.85 ÷6.15 (÷6.15 on both sides)

u= 19 mi

Which of the following equations is the result after the first step in solving 5x – 4 = 15? A. x – 4 = 3 B. x = 2 C. 5x = 19 D. 5x = 11

Answers

Answer:

C

Step-by-step explanation:

5x-4=15

5x=15+4

5x=19

Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie

Answers

Answer: $17.16

Explanation: do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16

Answer:$17.16

Step-by-step explanation:

do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16

If I'm building a dog house that is 3ft by 2ft, and I only want to line the floor with tile, and the tiles are 1.5 square feet each, how many do I need?

Answers

Answer:

4

Step-by-step explanation:

A triangle has one angle that measures 81° and one that measures 37° what is the measure of the third angle

Answers

Answer:

the third angle of the triangle is 62°

62 grad

Step-by-step explanation:

This is not a multiple choice, I need your help!

Answers

Answer:

Trapezoid, E, is the correct answer.

What is the multiplicative inverse of y?

Answers

Answer:

The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

Step-by-step explanation:

Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.

Let the multiplicative inverse of y be represented by a, so that;

a x y = 1

ay = 1

divide both sides by y to have,

a = [tex]\frac{1}{y}[/tex]

Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

This is applicable to any given value. Examples:

i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].

⇒ 2 x [tex]\frac{1}{2}[/tex] = 1

ii. What is the multiplicative inverse of 5?

The required answer is [tex]\frac{1}{5}[/tex].

The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed
the person's kayak in still water?
The speed of the person's kayak in still water is

Answers

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

[tex]\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.[/tex]










Find the sum or difference. Write your answer in simplest form

3/8 + 1/4​

Answers

Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

Help plz....................

Answers

Opposite sides in a parallelogram are equal
So,
XY=WZ
3a-4=a+2
2a=6
a=3

XW=YZ
b+1=2b
b=1

You find that you receive on average about 3 pieces of junk mail per week. Find the probability that the number of pieces of junk mail you receive next week will be (a) none at all. (b) exactly four. (c) no more than two. (d) more than two g

Answers

Answer:

a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Step-by-step explanation:

We have only the mean, which means that we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

You find that you receive on average about 3 pieces of junk mail per week.

This means that [tex]\mu = 3[/tex]

(a) none at all.

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

(b) exactly four.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]

0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

(c) no more than two.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]

0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

(d) more than two

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]

0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

HELP! I am really confused and need someone to explain this to me!!



Draw two symmetric (not skewed) with the same means but different standard deviations. Explain the similarities or differences in means and standard deviations.

Answers

Answer: See the diagram below

There are infinitely many ways to do this. So there isn't one set answer. However, all of the answers have these properties in common.

The center peak points are at the same locationOne distribution is more narrow than the other, or one is more wider than the other.

In the diagram below, I've made distribution B wider and more spread out compared to distribution A. Distribution B has a higher standard deviation. The larger the standard deviation is, the more spread out the data values will be. Standard deviation is always some positive number.

Both distributions are centered at 0, which is the mean. You could change the center to whatever you want, but make sure both distributions have this same center value.

As the diagram shows, each curve is symmetric about the center point. The left half can be reflected over the center line to get the right half, and vice versa. The curves peak at the center because this is where the majority of the data values are located. As you move to either end, the curve levels off to indicate not as many individuals are found here.

What part of an hour passed from 4:30 P.M. to 4:45 P.M.?

Answers

Answer:

15 minutes it what we call it pretty sure its 10

Step-by-step explanation:

Answer:

15min or a quarter of an hour.

Step-by-step explanation:

reflected over the x-axis, then translated 6
units left

Answers

take the original coordinate (x,y)
to reflect over x-axis change it to (x,-y)
*basically change the sign of y*
to translate 6 units left (x-6,y)
* basically subtract 6 from x
So your new point should be (x-6,-y)

A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is the number of tangerines. Let A represent the number of apples in each bag and T represent the number of tangerines in each bag. Which system of equations can be used to solve for A and T?​

Answers

Answer: The system we need to use is:

A = T - 3

A = (2/3)*T

Solving this, we get:

In a bag, there are 9 tangerines and 6 apples.

Step-by-step explanation:

The question seems to be incomplete, by a quick online search i've found the complete question:

"A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is 2/3 the number of tangerines..."

We know that:

A = number of apples in one bag

T = number of tangerines in one bag

We also know that:

"Each bag has 3 fewer apples than tangerines"

This can be written as:

A = T - 3

"In each bag, the number of apples is 2/3 the number of tangerines"

This can be written as:

A = (2/3)*T

Then we have a system of equations:

A = T - 3

A = (2/3)*T

This is the system of equations that can be used to solve for A and T, now let's solve this.

Because A means the same thing in both equations, then we can write:

A = T - 3 = A = (2/3)*T

Then:

T - 3 = (2/3)*T

We can solve this for T.

T - 3 = (2/3)*T

T - (2/3)*T = 3

(1 - 2/3)*T = 3

(1/3)*T = 3

T = 3/(1/3) = 3*3 = 9

This means that in each bag we have 9 tangerines in a bag.

Now we can use any of the two equations in the system to find the value of A.

I will use the first one:

A = T - 3

Now let's replace T by 9, then:

A = 9 - 3 = 6

A = 6

So there are 6 apples in a bag.

plss answer Part A #1 abc . i will give brainliest. late answers accepted​

Answers

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

PLEASE ANSWER THESE QUESTIONS CAREFULLY thank you so much

Answers

Answer:

Positive slope- line B

negative y-intercept- line C

slope of 0- line C

Step-by-step explanation:

Positive slope- line B This is because the line is angled upward on the right side

negative y-intercept- line C- the line is below the (0,0) mark

slope of 0- line C This is because the line isn’t angle upward nor downward.

PLEASE HELP‼️
A X = 4
B X = 10
C X = 3
D X = 9

Answers

The answer is C. X = 3
Answer is c x=3 was that the right answer

Levin Furniture buys a living room set with a $4,900 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 4/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.

Answers

Delivered price =   $Answer:

Answer:Delivered price=$1,814

Step-by-step explanation

Explanation:

List Price = $4,000

Trade  discount = 55%

Price after discount = $4,000 - 55% x $4000

$4000- $2,200 =  $1,800

if Levin pays within 10 days he will have a discount of 2 %, which he did

Therefore 2% x $1800 = $36

Delivered price =   $1800 -$36+ freight charges ( shipping)

$1800 -$36 + $50=$1814

Y- 4/9 = 2 2/3


Y= ?

What is y = ?

Answers

Answer: X= 3 1/9


Step by step:

X-4/9=2 2/3

2 2-3+4/9=

=2 6/9+4/9=

=3 1/9

can you please help me with this question?​

Answers

Answer: 32, 25, and 13 are possible side lengths.

Step-by-step explanation:

The lengths of any two sides of a triangle must sum up to more than the length of the third side.

15 + 27 = 42

42 = 42

The sum has to be MORE than the third side.

15 + 27 = 42

42 > 11

15 + 11 = 26

26 < 27

The sum of two sides can't be LESS than the third side.

15 + 27 = 42

42 > 32

15 + 32 = 47

47 > 27

27 + 32 = 59

59 > 15

Possible Side Length!

15 + 27 = 42

42 < 45

Can't be less

15 + 27 = 42

42 > 25

15 + 25 = 40

40 > 27

27 + 25 = 52

52 > 15

Possible Side Length!

15 + 27 = 42

42 > 13

15 + 13 = 28

28 > 27

27 + 13 = 40

40 > 15

Possible Side Length!

Yup that is right I look it up

Luis is shopping for gifts. Mugs are on sale for $4 off the regular price,p. Luis vuys 6 muga. H epays $54. What is the regular price of the mug? Show your work.​

Answers

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

The regular price of the mugs based on the given equation will be $13.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

Suppose the regular price is x.

Selling price = $4 off of x = x - 4

Number of mugs buys = 6

Paid = $54

54= 6 (x - 4)

(x - 4) = 9

x = 13

Hence "The regular price of the mugs based on the given equation will be $13".

For more about the equation,

brainly.com/question/10413253

#SPJ2

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

Expressions can be written using a combination of numbers and letters. Those values can also be described using words. Choose ALL expressions that are correctly described in words.

which is it

Answers

Answer:

A: 3a + 9: the sum of three times a and nine

C:15b − 10: ten less than the product of fifteen and b

Step-by-step explanation:

I just answer this question in US, and I got C right but choose the wrong answer for A.

These are the right answers.

How do scientists identify tectonically active regions

Answers

Answer: plate tectonics

Step-by-step explanation:Most earthquakes and volcanic eruptions do not strike randomly but occur in specific areas, such as along plate boundaries. One such area is the circum-Pacific Ring of Fire, where the Pacific Plate meets many surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

Earthquakes

Jaleah needs some string to make bracelets. She needs
enough string to make 32 bracelets. Each bracelet takes 9 3/4
inches of string. How much string will Jaleah need to make
the bracelets?

Answers

Answer:

312

Step-by-step explanation:

3/4 × 32 = 24

9 × 32 = 288

288 +24=312

Do y'all play warlock, hunter, or titan?

Answers

Answer:

I would probably choose warlock if my computer could handle it ;w;

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