Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome

Answer:

64

Step-by-step explanation:

8^9/8^7

Subtract the 9 and 7 which equals 2

Which is 8^2

8^2 is 64

Thus the answer is 64

Hope this helps!

Answer:

-4

Step-by-step explanation:

let the number be x

6x+(x+6)=-30-2x

7x+6=-30-2x

9x=-36

x=-4

Answer:

180

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

13÷4=3.25

Everyone gets 3.25 kg of chocolate

Answer:

3 1/4 kilograms

Step-by-step explanation:

13 ÷ 4 = 3.25 = 3 1/4

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

Answer:

Step-by-step explanation:

Using PRT/100, let's find the interest.

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

The first one:

Equation n+(n+1) +(n+2)=36

3n+3=36

the numbers are 11, 12,13

Step-by-step explanation:

So if you plug ll for n you get 36

So if you plug 12 in for in u get 39

Then in you plug 13 in for n u get 41

I hoped that helped

Answer: First option

The numbers are 11, 12, 13

11+12+13 = 36

===============================

Explanation:

Here's one way to solve for n

n+(n+1)+(n+2) = 36

3n+3 = 36

3n = 36-3

3n = 33

n = 33/3

n = 11

That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13

So the three numbers are 11,12,13

11+12+13 = 23+13 = 36 which confirms the answer

-------------

For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.

As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.

Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Answer:

50h+25.5=154

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0.5%

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

the y increases by 3 in the line while at the same time x is increased by 1. x/y for slope, so itd be 1/3

Answer: They have 83 cookies all together.

Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has  46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.

A (1,3) is a solution to the system of inequalities

Using programming concepts, it is found that the purpose of an assignment statement is:

In programming, examples of assignment statements are:

From the bullet-points, we have that the key-word is stores, hence, storing a value in a variable is the purpose of an assignment statement, and the correct option is:

You can learn more about assignment statements at https://brainly.com/question/3949761

Answer:

The answer would be to store a value in a variable.

Step-by-step explanation:

I took the test and got it right.

Answer: there you go

Step-by-step explanation:

Answer:

4) a₁₅ = 128

5) B. [tex]a_n=a_{n-1}+6[/tex]

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

[tex]a_n=a_1+(n-1)d[/tex]

Here, the common difference is 9.

[tex]11-2=9\\20-11=9[/tex]

Use that to write the equation and solve for a₁₅:

[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

[tex]a_n=a_{n-1}+d[/tex]

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

[tex]2--4=6\\8-2=6\\14-8=6[/tex]

And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

Here are ur answer.......

Answer:

Step-by-step explanation:

Answer:

y = 3

x = 2 is your answer may be

Answer:

y=4/3x+5

Step-by-step explanation:

[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

Answer: $8 21 quarters

Step-by-step explanation:

20 quarters is $5 plus another is $5.25

8 dollars is $8 plus the $5.25 = $13.25

Have a nice day, and if you could be so kind as to give me a brainliest

Answer:

Step-by-step explanation:

1) G = 6x , for x:                G/6

2) U = 2x - 2 , for x:          (1/2)U + 1

3) Z = m - x , for x:              m - Z

4) G = ca , for a:                   G/c

5) U = x - k , for x:                  U + k

6) G = c + x , for x:                G - c

7) U = k/a , for a:                    k/U

8) g = xc , for x:                     g/c

9) 12 am = 4 , for a:                 a = 1/(3m)

10) -3 x + 2c = - 3 , for x:         x = 1 +(2/3)c

11) am = n + p , for a:              (n+p)/m

12) U = ak/b , for a:                      U(b/k)

13) a - c = d - r , for a:                      a = d - r + c

14) xm = np , for x:                np/m

Answer:

Step-by-step explanation:

Dimensions given:

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

Width

Height

Part A

Number of small cubes would be:

Part B

Each small cube has volume:

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.