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miss Akunina [59]
3 years ago
8

You need a 45% alcohol solution. On hand, you have a 350 mL of a 15% alcohol mixture. You also have 70% alcohol mixture. How muc

h of the 70% mixture will you need to add to obtain the desired solution?
You will need
_____ mL of the 70% solution
Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

420

Step-by-step explanation:

Amount in the 45% solution + amount in the 70% solution = amount in the 45% solution

0.15 × 350 + 0.70 × V = 0.45 × (350 + V)

52.5 + 0.70V = 157.5 + 0.45V

0.25V = 105

V = 420

You need 420 mL of the 70% solution.

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devlian [24]

Answer:

X1 =-10,  X2= 4

Step-by-step explanation:

|-3-x|-2=5

|-3-x|=5+2

|-3-x|= 7

-3-x=7

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8 0
3 years ago
If the equation x^2 + 16x + c = 0 has only one real solution, the value of c must equal
kumpel [21]

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

<h3>Discriminant: </h3>

The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.  

The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by

<h3>               Discriminant Δ = b² - 4ac </h3>

Here we have

x² + 16x + c = 0 equation has only one real solution

Compare given equation with ax²+ bx + c = 0

=> a = 1, and b = 16  

As we know when an equation has only one real solution

then its Discriminant will be equal to zero

=> b² - 4ac = 0

By the above values,

=> 16² - 4(1)c = 0  

=> 256 - 4c = 0

=> 4c = 256

=> c = 256/4

=> c = 64

Therefore,

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

 

Learn more about Discriminant at

brainly.com/question/15884086

#SPJ1

3 0
1 year ago
Plaese help! been stuck on apex all day
Kruka [31]
Ok, so it seems
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so

A is false
B is false
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answer is C and D
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3 years ago
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Free pts for you awesome people! Have a wonderful day!​
tia_tia [17]
Have a great day as well! sending good vibes your way <3
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What is the cost of the haircut with tax?<br><br>A) $29.03<br><br>B) $49.30​
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Answer: A. $29.03

Step-by-step explanation:

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