Jonas has 1728 copies of a 1 × 1 × 1 cube with the net
shown, where c is a positive integer and c < 100. Using
these 1728 cubes, Jonas builds a large 12×12×12 cube in
such a way that the sum of the numbers on the exterior
faces is as large as possible. For some values of c, the sum
of the numbers on the exterior faces is between 80 000 and
85 000. The number of such values of c is
(A) 39 (B) 38 (C) 37
(D) 36 (E) 35

Answers

Answer 1

Answer:

37 :))

Step-by-step explanation:

Look thorugh the photo B)

Sorry its diagonal

Jonas Has 1728 Copies Of A 1 1 1 Cube With The Netshown, Where C Is A Positive Integer And C &lt; 100.
Answer 2

The number of such values of c is 37, whose sum

of the numbers on the exterior faces is between 80 000 and

85 000.

The correct option is (C)

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

1. Top or Bottom

Corners: (2c+100) x 8Non- corners: 10(c+100) x 4 x210 x 10x 100 x 2 =20000

2. Middle Layers:

Corners: (c+100)x 4 x 10Non- Corners: 100 x 10 x 4 x 10 =40000

So,

(2c+100) x 8 + 10(c+100) x 4 x2 +  (c+100)x 4 x 10 + 20000 + 40000

16c + 800 + 80c + 8000 + 40c + 400 + 60000

136c + 72800

As per the condition:

136c + 72800≤ 85000136c≤85000-72800

c≤89

and, 136c≥80000-72800

 c≥53

c= 89-53 =37

Hence, the number of such values of c is 37

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2


Related Questions

Can anyone please help me. I need a math expression that equals to 8.With parenthesis and brackets.Pleaseeee helppp i would really appreciate itt

Answers

Answer:

8 = 2[(8 - 5) + 1]

Step-by-step explanation:

Hope this was the answer you were looking for.

The answer is 8=[(8-5) + 1)

What is the solution to the equation?

2/3a - 1/6 = 1/3​

Answers

Answer:

a = 3/4

Step-by-step explanation:

2/3a - 1/6 = 1/3​

Multiply each side by 6 to clear the fractions

6*(2/3a - 1/6) = 6*1/3​

Distribute

4a - 1 = 2

Add 1 to each side

4a -1+1 = 2+1

4a = 3

Divide each side by 4

4a/4 = 3/4

a = 3/4

Answer:

a= 1/3

Step-by-step explanation:

Help with math 10 points

Answers

Answer:

15

Step-by-step explanation:

y= 7(15)+50

y= 105+50

y=155

y=10x+5

y=10(15)+5

y=150+5

y=155

which angles are adjacent to 12 ? select all that apply

Answers

The answer is 11 angles
11 angles, I’m sorry if it’s the wrong answer though !!

Can I get help...plz give steps

Answers

Answer:

C)

Step-by-step explanation:

First, multiply the 2 factors that add up to 8.

1/3 x 2. Since this equation does not have one x but 2 (x and y), we will not subtract or divide any sides.

Divide and multiply 2 by 8 and 1/3. Then, we solve for y.  

y = 2/3x - 4

Hope this helps!

-kiniwih426

I’m pretty sure is c y=2/3x-4

Plz help will be marked BRAINLIEST!!!

Answers

Answer:

m = 90 degrees

g = 90 degrees

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

90 + 90 = 180

g=90
m=90
therefore:
g+m=180
90+90=180

The weights of eight puppies have the following statistics:

mean: 8
median: 8
mode: 8
minimum: 5

List one set of possible weights in the table below.

Answers

Answer:

median

Step-by-step explanation:

Median would be correct<3

I need help with find the area of the other shapes. Like you can give me an example of the width and lenth like this (8:7) and I'll put a pic of what I've got so far and I need you to do what I did please.I really need help.


You must include the following items: • At least 10 shapes in which you can calculate the area (label the dimensions for each shape in feet 1 cm=3.25feet) o 2 rectangles o 1 rhombus o 3 triangles (1 must include a fractional base) o 2 trapezoids (1 base must be a decimal) o 1 pentagon o 1 irregular polygon in which you’ll have to decompose into smaller shapes. And if my pic ain't clear enough sorry.

Answers

Answer:

Step-by-step explanation:

Hmm i think you take the cm flee to the 8th

PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with 2.

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

The set {1,2,3,4,5,6} has a total of 6! permutations a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit. B. The next 120, including the 124th, would begin with 2. c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1 d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3 e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 ​​(numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126). Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and

26/50 convert to a decimal

Answers

Step-by-step explanation:

26/50

= 26 ÷ 50

=0.52

hope it helps

Answer:

26÷50 0.52 decimal hope helpful answer

I don't understand this
plz answer 3,4 and 5

Answers

Answer:

3. Since it asked us to write question 3 in the from y=mx + c

m is the gradient

c is the intercept on y axis or where the line enters or cuts the y axis. This can be seen from the diagram. The line cuts the y axis at "9". (Check the diagram for this).

Now to find m.

Pick points on the line

Say (1,6) and (2,3)

Gradient = m = y2 - y1/(X2 - X1)

x1 = 1

y1 =6

x2 = 2

y2 = 3

Substituting into that formula

m = 3 - 6/2 - 1

m= -3/1

m= -3.

Since we've gotten what we need

y=mx + c

Y= -3x + 9.

4. 4x + 2y = 12

Rearranging by making y subject to suit the eqn...y=mx + c

you have

m is the gradient and c is the intercept.

2y = -4x + 12

Divide through by 2

y= -2x + 6

y=mx + c

By comparing...

m==gradient = -2

c== Intercept = 6

5). Doing the same thing we did above

-6x + 3y =21

Making y subject

3y = 6x + 21

Divide through by 3

y= 2x + 7

y=mx + c

m==gradient =2

c==Intercept =7.

Hope this helps.

Have a great day!

i don’t kneweosiudhdjfjdidd

Please Help Me. No links or I will report. Explain.

How are you?
Hope you have a good day/night!

Answers

Answer:

7

Step-by-step explanation:

Rewrite 9+2(5-3)-6 as

9+2*2-6

9+4-6

Answer: B
Hope this helps :)

Simplify the expression. (1)/(2)(-(5)/(6)+(1)/(3))

Answers

Answer:

0.5

Step-by-step explanation:

The answer to that is 0.5 I am pretty sure

Which pair of expressions are equivalent?

Answers

Answer:A

Step-by-step explanation:

14d + 21

7(2d+3)

7* 2d + 7*3

14d + 21

which angle is supplementary to 16 ?

Answers

I’m no math teacher but I think it’s 13

Answer:

Make me a Brainlist pls

Step-by-step explanation:

angle 13 is supplementary to angle 16 bcoz of the property of linear pair

Please help !! Will give brain !!!!

Answers

1 = $3,50
2 = $7.00
4= $14.00
6 = $21.00

Answer:

just add 3.50 for every time

Step-by-step explanation:

The front and back sides are both triangles, explain why you arent going to divide the base x height by 2.

Answers

Answer:

4x=Bf

Step-by-step explanation:

4x= bf I check my work twice

The equation of the line is
a. y=2x+3
b. y=-2x+3
c. y=3x-2
d. y=-2x+1.5

Side note: please show your work

Answers

Answer:

b. y=-2x+3

Step-by-step explanation:

find slope by getting any 2 points form the graph

(0,3) (1,1)

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

m = (1-3) / (1-0) = -2 it means by moving one unit right you need to move 2 unit down

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

y - 3 = -2 ( x - 0)

y = -2x +3

a) 2x+3

Step-by-step explanation:

The line passes throught the point (1;1) and (0;3)

gradient(m) =change in y ÷ change in x

=y1-y2 ÷x1-x2

=1-3 ÷ 1-0

=-2

therefore m is -2.

y-y1=m(x-x1)

y-1=-2(x-1)

y=2x+2+1

y=2x+3

The coach of the field hockey team can spend at most $475 on new team uniforms. The coach will order the uniforms online and pay a mailing cost of $11. If each uniform costs $29, how many uniforms can the coach order?

Answers

Answer:

16

Step-by-step explanation:

475-11-29n=0, so 464= 29 n. so n would be 16

Answer:

16 uniforms

Step-by-step explanation:

his budget:475

mailing cost:11

remaining budget:475-11=464

now,

cost of one uniform= 29

no of uniform he can order is= 464÷29= 16

If the x value of a measurement on a chart decreases and then increases and the y value increases, then decreases and increases again is the rate of change positive or negative? the rate of change is 1 btw

Answers

Answer: Photo math might be able to help you

Step-by-step explanation:

the rate of change is negative

Use the data in the table to find the median mode, and range of the data.

Answers

Answer:

Median: 2

Mode: 0

Range: 10

Step-by-step explanation:

The median would be 2 and mode 0

Plz help will be marked BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

a= 18 degrees

b= 36 degrees

c= 108 degrees

Answer:

a 18

b 108

c 36

Step-by-step explanation:

each quad is 90°

purple is 18 because 90/5

green is 36 because (90-18)/2

orange is 108 because 180-36x2

Can I have help for question B, my answer doesn't give me the mark.

Answers

Answer:

isosceles triangle

Step-by-step explanation:

Using the graph of the line below, what is the y coordinate when x = 2?

Answers

The answer is 4 because it is rise over run. when you rise 4 you get a run of 2
It would be 4.

1. Look at the x coordinate at 2
2. Find where the slope intercepts x=2
3. y=4

Please help i need it urgent and will give brainliest

Answers

4.2 if I am wrong sorry lol I tried my best so don’t judge
4.2 hope this helps!!!!

The radius of a circle is 5 feet.

Answers

The diameter is 10 ft ..............

Answer:

C 10ft

Step-by-step explanation:

The diameter of a circle is always double the radius of a circle.

Can someone help again I’m still in class

Answers

Answer:

X3

Step-by-step explanation:

6x3=18

5x3=15

4x3=12

The answer 3x.
Explanation
6x3=18
5x3=15
4x3=12

A right triangle has legs of 30m and 40m. What is the PERIMETER of the triangle?

choices:
A.) 120m

B.) 70m

C.) 1200m

D.) 50m

Answers

Answer:

A

Step-by-step explanation:

We know that we are dealing with a right triangle. Look at the legs given to us, 30m and 40m. That looks familiar doesn't it? In fact, this quite resembles the 3-4-5 special right triangle.

We can simply scale the legs by 10 to find the last side of the triangle.

[tex]3*10=30\\4*10=40[/tex]

and therefore, the last side of the right triangle must be:

[tex]5*10=50[/tex]

Great! Now we have all the sides of the right triangle. We just have to add them up:

[tex]30+40+50=120[/tex]

Therefore, the perimeter of the triangle is 120m. A.

I hope this helps! Let me know if you have any questions :)

Pls help me so I can pass

Answers

Answer:

The slope of the line is constant. This is because all straight lines have a constant slope. The slope of this line is 1/3. When you use the legs to measure, the horizontal legs of the triangle, they increase in length by 3 units from the previous triangle. The vertical legs of the triangle also increase by 1 with each added triangle. Both of these observations support that the slope of the line is a constant 1/3.

Step-by-step explanation:

I know you were going to copy and paste so i put all above. Hope it helps you.

The answer above ………………………

****no links please****

Answers

Answer:

C

Step-by-step explanation:

1. π ≈ 3.1415. π + 10 ≈ 13.1415.

2. Find the square root of 20. It is about 4.4721. 4.4721 + 1/2 (or .5) = 4.9721

3. The square root of 100 is 10.

4. Order them.

5. It is most obvious that the answer to [tex]\sqrt{20\\}[/tex] + 1/2 is first. The square root of 100 is ten, so that goes second because pi + 10 is greater than 10. (pi + 10 goes last)

6. [tex]\sqrt{12} + 1/2, \sqrt{100}, \pi + 10[/tex]

The answer is c
Hope that helps
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