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

Which pair of expressions are equivalent?

Answers

Answer:A

Step-by-step explanation:

14d + 21

7(2d+3)

7* 2d + 7*3

14d + 21

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

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 :)

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

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

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

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:

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

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

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

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

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

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)

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

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

Answers

Answer:

isosceles triangle

Step-by-step explanation:

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 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

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

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

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 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 :)

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

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.

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:

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 !!

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

****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

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 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

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 ………………………
Other Questions
a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class Fine the probability. NEED THE STEPS IF POSSIBLE. Find the perimeter of the figure. A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? What are some of the powers and responsibilities of county commissioners? Check all that apply.A They create budgets and decide how funds will be managed.B They oversee the daily operations of the county government.C They adopt ordinances, such as laws about noise or traffic.D They respond to crimes and directly oversee law enforcement.E They represent the county in the Washington legislature. Scientists have observed many close similarities in the DNA sequences of whales and dolphins. This observation is evidence of which idea? Identify the total number of moles involved in the reaction2C4H10(g) + 13 O2(g) 10 H2O(g) + 8 CO2(g) With the advent of abstract thought, adolescents more frequently use such terms as however, otherwise, anyway, therefore, really, and probably to express logical relationships.a. Trueb. False DUE IN 40 MINUTES OMG- PLS HELP IF YOU CANConvert standard form to vertex form then identify the vertex-2x^2 - 8x + 3 Which is essential for underwater life to thrive How do laws that limit the sizes of fish that may be caught help protect fishery resources? 1) What is the term for the product that results from hydrocarbons that react withother chemicals and sunlight?photochemical smoggaseous emissions particulate mattercarbon monoxide2) What is the colorless , oder less gas that binds red blood cells causing the body not to get the oxygen it needs?hydrocarbons carbon monoxide photochemical smoggaseous emissions 3) which of the following are ways that pollution is be controlled? (Choose all that apply)Automobiles have been built to release less pollutants in the air Industrial factories have been closed downresidential properties must use solar energy to power homesclean air acts have been established that reduce the amount of poullutants released from the industrial processes. OdMilitary success in Vietnam is improving the president's chances for reelection.Question 3 (1 point)- We will stay because in Asia and around the world are countries whose independence rests, in large measure, on confidence in America'sword and in America's protection. To yield to force in Vietnam would weaken that confidence, would undermine the independence of manylands, and would whet the appetite of aggression. We would have to fight in one land, and then we would have to fight in another-or abandonmuch of Asia to the domination of Communists...-President Lyndon B. Johnson, State of the Union Address, January 12, 1966Which idea is best described in this passage?appeasementIsolationismObOddomino theoryneutralityQuestion 4 (1 point)The Gulf of Tonkin Resolution (1964) provided congressional support for -4=12-2x please help me with step by step If (x+y)^2=125xy,show that, 2 log (x+y) = 3 log 5+log x+ log y make ansentance rkdloebebjekeoejbe What is the value of X in the situation What do you believe would be an appropriate course of action regardingNative American lands as the United States expands westward? A construction worker wants to make a walkway out of concrete pads. Each pad will be3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs$125 per yd, how much will the concrete for the walkway cost (plus HST)? Theconstruction worker has been told only whole cubic yards of concrete can be purchased,part yd cannot be purchased. The chemical bonding in sodium phosphate, Na3PO4 is classified as A) ionic, only B) metallic, only C) both covalent and ionic D) covalent, only