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3 years ago

Can you give an example of equations when you are given the constant of proportionality?

1 answer:

6 0

Identifying the Constant of Proportionality. ... The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.

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The Wikipedia article on the length of dictionaries suggests there are 171,476 unique words in the English language. How many un

katrin2010 [14]

Answer:

806 million years

Step-by-step explanation:

From the information given:

Firstly, we need to determine the no. of ways we can choose n many words in the dictionary & array them in $(^{171476}_{n}) * n!$ ways.

Thus, the no. of unique books possible of length till K is:

$\sum \limits^k _{n=0} ( ^{171476}_{n}) * n! \\ \\ = \sum \limits ^k_{n=0} \dfrac{171476!}{(171476-n)!}$

where K = 6, we have the value to be:

= 25420530373932821216635722990977

Thus, the time required to write all possible texts of 6 is:

= (25420530373932821216635722990977)/10⁶

≅ 806 million years.

8 0

3 years ago

−2(x+1/4)+1=5 PLEASE HELP

PilotLPTM [1.2K]

Answer: x=−9/4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(x+14)+1=5

Step 1: Simplify both sides of the equation.

−2(x+14)+1=5(−2)(x)+(−2)(14)+1=5(Distribute)−2x+

−1

+1=5

(−2x)+(

−1

+1)=5(Combine Like Terms)

−2x+

Step 2: Subtract 1/2 from both sides.

−2x+

−

=5−

−2x=

Step 3: Divide both sides by -2.

−2x

−2

−9

7 0

3 years ago

Read 2 more answers

Free brainlist for the first one

Lunna [17]

Answer:

i mean ill take it

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1

olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

$\frac{40x}{(4x+60)}$ = $\frac{8}{1}$ -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0

3 years ago

4(a + 2) = 14 – 2(3 – 2a) –2 –1 no solution all real numbers

Ray Of Light [21]

All real numbers.

$\boxed{TRUE}$

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand: 4(a+2)=4a+8

Expand again: 14-2(3-2a)=4a+8

4a+8=4a+8

You subtract by 8 from both sides of an equation.

4a+8-8=4a+8-8

Simplify.

4a=4a

Then, subtract by 4a from both sides of an equation.

4a-4a=4a-4a

Finally, simplify.

4a-4a=0

0=0

True

All real numbers is the final answer.

Hope this helps you!

Have a nice day! :)

4 0

3 years ago