Answer:
Step-by-step explanation:
Set up an equation, where x is the number of gallons of 60% antifreeze solution.
Represent the percentages of antifreeze with decimal values.
0.6x + 0.3(80) = 0.5(x + 80)
Simplify and solve for x:
0.6x + 24 = 0.5x + 40
0.1x = 16
x = 160
So, you have to mix 160 gallons of a 60% antifreeze solution
Answer:
use khan academy
Step-by-step explanation:
The positive square roots of the number 151,321 according to the task content can be determined by means of division as; 389.
<h3>What are the square roots of 151,321 by means of division method?</h3>
It follows from.the task content above that the number given is; 151,321 whose positive square roots is to be determined.
Upon testing different integers as divisor on the number 151,321; it is concluded that the only positive integer by which 151,321 can be divided to result in a whole is; 389.
Hence, the positive square root of the number 151,321 is; 389.
Consequently, it can be concluded that the positive square root of the number, 151,321 as in the task content is; 389 which is itself a prime number as it is only divisible by 1 and itself.
Read more on square root of numbers;
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Answer:
25, 29
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c² where a and b are legs and c is the hypotenuse. In this case, a = 2, b = 5 and we are solving for c, which is also known as AC here. Therefore,
4 + 25 = AC²
AC² = 29
Answer:
x = -2.5 ± √14.25
Step-by-step explanation:
Add 5x to prepare for "completing the square."
x² +5x = 8
Add the square of half the x-coefficient:
x² +5x + 2.5² = 8 + 2.5²
(x +2.5)² = 14.25
Take the square root.
x +2.5 = ±√14.25
Subtract 2.5.
x = -2.5 ± √14.25 ≈ {-6.27492, 1.27592}