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Andrews [41]
3 years ago
5

I like to think of myself as the most lucky person out there. 'Why?' you may ask. My reasoning is quite simple, really. The reas

on I think this is because the most beautiful, angel-like being (You) took interest in me. I only left two adjectives to describe you because no matter how many words I use, none of them can completely describe how beautiful and amazing you are.
- (Me)

Is this a good poem for my girlfriend?
Mathematics
1 answer:
dusya [7]3 years ago
5 0
That’s really nice man. I’m sure she’ll love it
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There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix
hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

4 0
3 years ago
A scuba diver wants to descend at an average rate of at least 7 feet per minute for 5 minutes. The table shows how many feet the
gladu [14]

The scuba diver must descend 3 feet in the fifth minute to meet the goal.

Why?

To find how many feet does the scuba diver need to descend to reach the goal of 35 feet in 5 minutes, we need to calculate how many feet he did descend on the first 4 minutes.

So, calculating we have:

FirstMinute=9ft\\SecondMinute=11ft\\ThirdMinute=5ft\\FourthMinute=7ft\\Total=9ft+11ft+5ft+7ft=32ft\\\\Goal=35ft\\\\Needed=Goal-Total(4Minutes)\\\\Needed=35ft-32ft=3ft

Hence, we can see that at the 4 minute, he has only descended 32ft. It means that he need to descend 3 feet more in the fifth minute.

Have a nice day!

7 0
3 years ago
Tell how you know when you have found the prime factorization of a number
sweet-ann [11.9K]
When you end up with prime numbers for example
If you factored out 12 you could say 3x4. Now 3 is a prime number so it cant be broken down any more. You can break down 4 into 2x2. 2 is a prime number so cant be broken down any further. When 12 is factored out it is 2x2x3
7 0
3 years ago
Read 2 more answers
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Answer:

Step-by-step explanation:

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It's really easy i think u can handle yourself
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