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

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!

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.

Answer:

X3

Step-by-step explanation:

6x3=18

5x3=15

4x3=12

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]

Answer:

Step-by-step explanation:

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

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

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

Answer:

isosceles triangle

Step-by-step explanation:

Answer: Photo math might be able to help you

Step-by-step explanation:

Answer:

C 10ft

Step-by-step explanation:

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

Answer:

median

Step-by-step explanation:

Answer:

4x=Bf

Step-by-step explanation:

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:

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 :)

Answer:

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

Step-by-step explanation:

Hope this was the answer you were looking for.

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

Answer:

Median: 2

Mode: 0

Range: 10

Step-by-step explanation:

Answer:

just add 3.50 for every time

Step-by-step explanation:

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 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.

Answer:

Step-by-step explanation:

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

Answer:A

Step-by-step explanation:

14d + 21

7(2d+3)

7* 2d + 7*3

14d + 21

Answer:

7

Step-by-step explanation:

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

9+2*2-6

9+4-6

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

Answer:

0.5

Step-by-step explanation:

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

Step-by-step explanation:

26/50

= 26 ÷ 50

=0.52

hope it helps

Answer: