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12345 [234]
3 years ago
7

Please Help! Gabe Amodeo a nuclear physicists needs 80 liters of a 30% acid solution. He currently has a 20% and a 60% solution

How many liters of each does he need to make the needed 80 liters of 30% acid solution?
Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0
He needs 6 litres of the 20% and 2 litres of the 60% a simple trial and error method will do in this type of equation
Nataly [62]3 years ago
3 0
Let x be the number of liters needed from the first acide concentration (20%)
Let y be the number of liters needed from the first acide concentration (60%)

We know at the end we will have:
x+y = 80 ; we also know that:
20%(x) + 60%(y) = 30%(80) OR 0.2x + 0.6y = 0.3(80) = 2x+6y=240

Hence we have :
x+y = 80
2x+6y = 240
Solving this system of 2 equations give: x = 60 and y = 20
In short you need to mix 60 litres at 20% and 20 liters at 60%

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100 POINTS!!! VERY URGENT
Marta_Voda [28]

Answer:

<u>D) (f o g)(x) = 10x² - 60x + 93</u>

Step-by-step explanation:

f(x) = 10x² + 3

g(x) = x - 3

⇒ (f o g)(x)

⇒ f(x - 3)

⇒ f(x - 3) = 10(x - 3)² + 3

⇒ f(x - 3) = 10(x² - 6x + 9) + 3

⇒ f(x - 3) = 10x² - 60x + 90 + 3

⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>

6 0
2 years ago
Read 2 more answers
Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y
notka56 [123]

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

4 0
3 years ago
Someone help plz, I'm stuck
VladimirAG [237]

Answer:

Original price reduced by 30%

Step-by-step explanation:

You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.

6 0
3 years ago
Find the surface area of the regular dodecahedron.<br><br> PLEASE HELP!!
kakasveta [241]
12*123.9=1486.8
plz rate brainlyist

5 0
3 years ago
Help wanted pls math
Serjik [45]

Answer:

39 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

Let:

base = b = 4 ft

height = h = 3 ft

Solve for the area of the triangle:

A = 1/2(4)(3)

A = 2 * 3

A = 6 ft²

Area of a rectangle = bh

Let:

base = b = 9 ft

height = h = 5 ft

Solve for the area of the rectangle:

A = (9)(5)

A = 9 * 5

A = 45 ft²

Subtract the area of the triangle from the area of the rectangle:

45 - 6 = 39 ft²

39 ft² is your answer.

~

3 0
3 years ago
Read 2 more answers
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