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Alexeev081 [22]
2 years ago
7

One number is 4 more than twice the other number. Their sum is 40. Find the numbers.

Mathematics
1 answer:
algol132 years ago
7 0

Answer: 12

Step-by-step explanation:

Lets take x as one number and y as another

x + y = 40

2y + 4 = x

Lets replace x with the equation above

2y + 4 + y = 40

3y + 4 = 40

3y = 40 - 4

3y = 36

y = 36/3

y = 12

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jenyasd209 [6]
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.

Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:

12 + (1/2 * 12) : 16 + (1/2 * 16)
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It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
3 0
3 years ago
What are the real or imaginary solutions of the polynomial equation x*4-25=0​
Paul [167]

Hello from MrBillDoesMath!

Answer:

Solutions: x = +\- 5i or x = +\- sqrt(5)


Discussion:

Factor x^4 - 25:

x^4 - 25     = (x^2+5) (x^2-5)                              =>  factor x^2 - 5

x^4 - 25 =   (x^2+5)(x + sqrt(5)) (x - sqrt(5))       => factor x^2 + 5

x^4 = 25  = (x +5i)(x-5i) (x + sqrt(5)) (x - sqrt(5))  

Hence the solutions are

x = +\- 5i and x = +\- sqrt(5)



Thank you,


MrB

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kompoz [17]
Here you are. you can see my explication.
have fun

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A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th
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