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3 years ago

6

Not sure how to make an equation for this problem. The equation I put was 86 - 8 = b x 2 = 156. But, it is starting that is inco

rrect. How do I go about this problem?

1 answer:

Elden [556K]3 years ago

7 0

Answer:

b/2 + 8 = 86

b = 156

Step-by-step explanation:

Half the comics is b/2

b/2 + 8 = 86

Subtract 8 from both sides

b/2 = 78

multiply both sides by 2

b = 156

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

4 years ago

One kind of bacteria in a laboratory culture triples every 30 minutes. Suppose the culture is started with 20 bacteria cells. Ho

IgorC [24]

Answer:

2 hours = 4 * 30 minutes

30 * 3 = 90

90 * 3 = 270

270 * 3 = 810

810 * 3 = 2430

So after 2 hours you will have 2430 bacteria cells.

Step-by-step explanation:

3 0

3 years ago

Which digit would make this number divisible by 6? 7 ___68 *<br><br> A. 3<br> B. 4<br> C. 5<br> D. 8

Basile [38]

Answer:

3

Step-by-step explanation:

6 * 1228 = 7368

3 0

3 years ago

How is multiplication and division related?

Julli [10]

Hey You!

The two are related because they both use the same three numbers. For example:

6 × 3 = 18 3 × 6 = 18

Or,

18 ÷ 3 = 6 18 ÷ 6 = 3

6 0

3 years ago

Read 2 more answers

Add (-12x + 6) + (4x - 12).

yulyashka [42]

Step-by-step explanation:

it's obviously the equation is equals to zero,

-12x + 16 = 0

-12x = -16

-12. 12

like terms cancel each other to remaining with x

thus,

x = 4/3

<h2>AND</h2>

4x - 12 = 0

4x = 12

4. 4

like terms cancel each other to remaining (make x subject of the formula) with x

thus,

x = 3

6 0

2 years ago