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2 years ago

How to solve wx=x+5, tw=4x+5: tx

Mathematics

1 answer:

Hatshy [7]2 years ago

5 0

Hello :
wt = wx +xt
xt = wt - wx=(4x+5) - (x+5) = 3x

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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l

Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

$T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200$

43,200 serial numbers can be generated

8 0

3 years ago

What's the answer to 22+4y-14=0

Gwar [14]

Y=-2 You combine like terms which would be -14 and 22. 22-14=8. Then you subtract that from 0. 0-8=-8. Then divide -8 by 4y. -8÷4=-2

7 0

3 years ago

The average of 6 numbers is 7. When a 7th number is addedThe average of all numbers is 0. What is the seventh number?

Katena32 [7]

-- The average of 6 numbers is 7.
    So those 6 numbers must add up to 42.

-- If one more number results in an average of zero,
   the new number must be -42 .
   Then all 7 numbers add up to zero.

4 0

2 years ago

How do I find the scale factor

iris [78.8K]

You write it as a ratio eg. SF(large→small)=20:7

4 0

3 years ago

Lakelyn is training for a triathlon she is practising her swiming running and biking skills so far she can swim at a rate of 250

Nezavi [6.7K]

Answer:

The answer to the question is

It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully

Step-by-step explanation:

To solve the question, we lisrt out the variables as follows

Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr

Running speed of Lakelyn = 6 miles/hour

Biking speed = 12 miles/hour

The duration it will take for Lakelyn to run 18 miles is given by

Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))

or t = D/S

Substituting the known values of such as

Running speed of Lakelyn = 6 miles/hour

From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours

should the 18 miles form part of the triathlon then, we have

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18

Where x, y and z are the distance covered Swimming, Running and Biking respectively

4 0

3 years ago

Read 2 more answers