How many lumps of wax 2½ cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?​

Answers

Answer 1

Step-by-step explanation:

first the theoretical maximum number :

the big block is 25cm×20cm×15cm.

so, the volume is 25×20×15 = 7500 cm³

we want to cut this note into pieces of 2.5cm×2cm×1cm with a volume of 2.5×2×1 = 5 cm³

so, we can get 7500/5 = 1500 such lumps out of the big block.

now, a quick check, if we can cut full pieces until the last bit, or if the shape of the big block will not allow us to fully cut it into the desired pieces, and we get some remains (too small to be lumps of the desired size and shape).

and we do this by checking, if each dimension of the big block can be divided by the dimensions of the small lumps without remainder (whole number results).

25 / 2.5 = 10, and no remainder here.

=> 10 cuts of 2.5 cm perpendicular to the length.

20 / 2 = 10, and no remainder here.

=> 10 cuts of 2cm perpendicular to the width.

15 / 1 = 15, and no remainder here.

=> 15 cuts of 1 cm perpendicular to the height.

so, yes, we can achieve the theoretical maximum number of 1500 lumps also in reality and cut the big block without remaining material into these small blocks.


Related Questions

Hi all, please help me with this problem
(It's Algebraic Expression's!)
I suck in maths :/​

Answers

Answer:

3rd side = 2x + 6y

Step-by-step explanation:

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See The Attachment My Friend.....

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Need answer ASAP



You buy a TV for $256 and a DVD player for $46. If the sales tax rate is 6.5% how much is the sales tax on this purchase to the nearest penny?

Answers

Answer:

$19.63 would be the sales tax on this

I need a answer pls help me

Answers

Answer:

y = 2.5x

Step-by-step explanation:

Note where all the points are.

When x = 0, y = 0

When x = 2, y = 5

When x = 8, y = 20

You simply need to find how much "y" is for each "x". Divide y with x:

5/2 = 2.5

Check. Plug in the x, and obtain the y:

y = 2.5x

y = 2.5(4) = 10 (True).

y = 2.5(8) = 20 (True).

~

2.26-30 3x+y=6
(0,_)
(_,0)
(3,_)
(6,_)
(5,_) ​​

Answers

Answer:

Step-by-step explanation:

In ordered pairs (a,b) a is the x value and b is a y value.

if we have 3x+y=6

if x=0, y=6 --> (0,6)

if y=0, x=2 -->(2,0)

if x=3, y=-3--> (3, -3)

if x=6, y= -12 --->(6, -12)

if x=6, y= -9 ---> (5, -9)

What is the answer to 3(d − 7) = 6

Answers

Answer

[tex]3(d - 7) = 6 \\ \\ = > 3d - 21 = 6 \\ \\ = > 3d = 6 + 21 \\ \\ = > 3d = 27 \\ \\ = > d = \cancel \frac{27}{3} \\ \\ = > d = 9[/tex]

Hope This Helps

Answer:

D = 9

Step-by-step explanation:

hope it helps

How does the equation of a quadratic function in vertex form highlight key features of the function’s graph?

Answers

9514 1404 393

Explanation:

Vertex form of a quadratic can be written as ...

  a(x -h)² +k = 0 . . . . . . vertex (h, k); scale factor 'a'

First of all, it highlights the vertex (x, y) = (h, k), which is the extreme maximum or minimum of the function. That also tells you the axis of symmetry, (x = h).

Vertex form also shows you the vertical scale factor. The sign of that tells you whether the graph opens upward (positive) or downward (negative). The numerical value of it tells you the vertical distance from the vertex to points ±1 unit either side of the vertex.

The roots of the quadratic will be ...

  x = h ±√(-k/a)

These will be complex if the graph does not intersect the x-axis.

Answer:

From the vertex form  ()=(−)+ , you can find the vertex  (,)  and see whether the parabola opens upward (if  > ) or downward (if  < ). From a graph, you can read the coordinates of the vertex and substitute into the vertex form. With the coordinates of one other point, you can solve the equation to find a and write the equation of the quadratic function in vertex form.

Every year,the value of an antique vase appreciates by 20% of it's value in the previous year if the value of case was 180000 in 2012, find it's value in 2010.
guys I am giving you 100 POINTS!!!no cheating andd I need answer that is 125000 and send me with solution ​

Answers

Every year, the value of an antique vase appreciates by 20% of its value in the previous year. If the value of the vase was $180 000 in 2012, its value in 2010 was $125000

Step-by-step explanation:

Given the appreciation rate r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:

V = I(1 + r)ⁿ

In our case, we need to work out the value of n.

We do this as follows:

n =2012 - 2010 = 2 years

Substituting the values we have:

180000 = I(1.20)²

180000 = 1.44I

I = 180000/1.44

= 125000

So, in 2010, the value of the vase was $125000

I need helpppp ahhhh

Answers

Answer:

x=-4

Step-by-step explanation:

[tex]\frac{1}{2}[/tex](4x-6)+x-3=2(x-5)

  2x-3+x-3=2x-10

         3x-6=2x-10

       3x-2x=-10+6

               x=-4

anwer this question.
no link or u are at risk​

Answers

Answer:

where's the question? can you post a screenshot

Are fractions reversible? why or why not

Answers

Answer:

Yes

Step-by-step explanation:

if you think of a slope equation, for example y= 3x + 2, if you do the opposite reciprocal, you would get-1/3 because you flip it around, and you flip the sign.

Please explain this to me please
Will give brainly if you actually answer the questions

Answers

Answer:

17. D

18. B.

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m= (5--2)/(-3--2)

m = -7

sub x=-2 ; y = -2

y= mx+c

y= -7x+c

-2=-7x+ c

c= -16

y= -7x-16

Please explain step by step.
(Good answers with good explanation only please.)

Answers

Answer:

A

Step-by-step explanation:

x= total number of sets bought

y= total cost

Since each set costs 3 dollars, we can represent that with the equation y=3x, and the teacher also had a 2 dollar coupon, so we can subtract 2 from the equation, giving us y=3x-2

So, by looking at the charts, plug in x (the input), and see if the y (output) is the same as the equation represents.

So, the answer is A. To test, plug in the x and see if it gives the right y.

For example, 3 sets bought (x), so it will be represented as,

y=3x-2

y=3(3)-2

y=7

So when 3 is x, y is 7. Which is what answer choice A shows.

solve the inequality for x
-2x + 2 < -8​

Answers

Answer:

Step-by-step explanation:

x<-3

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality: 2*x-2-(-8)<0

1)  Pull out like factors :  2x + 6  =   2 • (x + 3)

2) Divide both sides by 2

3) subtract 3 from both sides x<-3

PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported

Answers

Answer:

a) -4

b) +343

Step-by-step explanation:

a) 10 shares - loss $40

    1 share --- ?

? = 40 / 10 = 4 decrease

b) each week 7 members increase for 49 weeks

so total increase = 7 * 49 = 343

9514 1404 393

Answer:

  (a) -4 dollars

  (b) +343 members

Step-by-step explanation:

(a) The change in the value of each share is the total amount of change divided by the number of shares:

  change per share = (total change)/(number of shares)

  change per share = (-40 dollars)/(10 shares) = -4 dollars/share

The change in value for each share was -4 dollars.

__

(b) As with most rate problems, the quantity is the product of rate and time.

  growth = (7 members/week) × (49 weeks) = 7×49 members

  growth = 343 members

The change in the club's size was +343 members.

Write an Integer for the situation,
300 feet below sea level
A -300
B 600
C -600
D 300

Answers

It would be A -300 sense sea level would be zero and it’s 300 feet below sea level
Below means negative

Answer: A. -300

Step-by-step explanation: I hope this helps!

I REALLY NEEP HELP RN

Which of the following is the difference between a permanent magnet and an electromagnet?


An electromagnet can be turned on and off, but a permanent magnet cannot.


A permanent magnet has a north and south pole, but an electromagnet does not.


Their strength can be changed.

Answers

Answer:

An electromagnet can be turned on and off, but a permanent magnet cannot.

It's the first Option since all mangnets will always have north and south pole

if g= 57 and f= 54 find h

Answers

Answer:

It's D

Step-by-step explanation:

What is (8/9)divided by (6/7) and simplified

Answers

Answer:

(28/27)

Step-by-step explanation:

Answer:

Exact Form:

28/27

Decimal Form:

1.037

Mixed Number Form:

1 1/27

Step-by-step explanation:

A line passes through the point (-8, 5) and has a slope of 5/4. Write an equation in slope-intercept form for this line.

Answers

Answer:

5/48

Step-by-step explanation:

A busy customer service agent handled 20 emails in
1
4
of a day. At that rate, how many emails could he handle in 1 day?

Answers

Answer:

80 emails

Step-by-step explanation:

20=1/4

40=2/4

60=3/4

80=4/4

80 emails in 1 day

20 times 4 = 80

Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall contractor to complete her repairs for $1,200. Her neighbor Steve says he can complete the same job for $800. Sally could use a credit card to pay the contractor, but Steve can only accept cash. Sally’s credit card has a 14% APR for credit purchases and a 32% interest rate for cash advances. Expecting to pay $50 of the principle plus appropriate interest each month, Sally estimates that it would take her 24 months to pay off the contractor balance and 16 months to pay off the cash advance balance.

In the end, would it be cheaper for Sally to hire the contractor or her neighbor to complete the repairs

Answers

Answer:

gawain sa pagkatuto bilang 2 balikan ang awiting bayan ko sa pahina 15 hanapin ang mga simbolong pangmusika sa awiting guhit ang mga nakita mong simbolong pangmusika sa iyong kwaderno

Answer:

For $1,200 at 14% for 24 months, Sally would be have to pay $57.62 per month, or $1,382.88 after 24 months. Neighbor Steve: For $800 at 32% for 16 months, Sally would have to pay $62.08 per month or $993.28 after 16 months. Even with the (much) higher interest rate, Sally would pay $389.60 less if she went with Neighbor Steve. Even better is that the monthly payments would be about the same for the given timelines. Sally would still want to weight the benefits of contracted work vs. non-contracted work.

Step-by-step explanation:

There is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new price is $2.49. What is the percentage of decrease on the gallon of milk? Round your answer to the nearest whole percent

A) 17%
B) 50%
C) 23%
D) 20%

Answers

The answer is B because if you subtract 99 and 50 your get 49

Graph AFGH with vertices F(-2,2), G(-2,-4), and H(-4,-4) and its image after the similarity transformation.
Rotation: 180° about the origin
Dilation: center (2,-2) and k = 2

Answers

Answer:

i think its 5

Step-by-step explanation:

im not sure if its 5 or not but im guessing

PLSS HELP ILL GIVE POINTS!!!!

The fee for a cleaning service is described in the table below.

Write an equation to represent the data in the table.

Answers

Answer:

y=16x+36

Step-by-step explanation:

cleaning services start at $36 for one hour and add $16 to total price per hour.

16(1)+36=52

16(2)+36=68

16(3)+36=84

16(4)+36=100

Evaluate the expression when x=14 and y=12.

2(116+x2)+5y

Enter your answer as a mixed number in simplest form in the box.

I NEED A ANSWER QUICK

Answers

Answer:   348

Step-by-step explanation:

Answer:it is 2 3/4

Step-by-step explanation:i took the test  

Please help me with this, it’s due today!

Answers

Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

Step-by-step explanation:

(I’ll give brainliest) Can someone help with these math vocab questions?

Answers

Answer:

proportional is the answer

1. Describe the difference between a relation and a function.​

Answers

Answer:

The difference between a relation and a function is that a relationship can have many outputs for a single input, but a function has a single input for a single output. This is the basic factor to differentiate between relation and function. Relations are used, so those model concepts are formed.

A relation can have many outputs for a single input but a function has a single output for a single input. For example if there’s (2,4), and (3,4) that’s a relation but a function can’t have any repeating numbers on either point

At which angle will the hexagon rotate so that it maps onto itself ?

Answers

Answer:

There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

HELP IMMA NEED YALLS HELP

Answers

Answer:

Discount: $2.10

Final Cost: $11.90

Step-by-step explanation:

14 times 15% is 2.10.

So, you would take that $2.10 and subtract it from $14.00 to get your answer of $11.90

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