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Troyanec [42]
3 years ago
7

• There are 20 pounds of the mixture.

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

6.63 pounds

Step-by-step explanation:

Total pounds of mixture = 20

The contents of the mixture are; peanuts and almonds. Of which;

Peanuts cost = $2.95 per pound

Almonds cost = $5.95 per pound

The mixture cost = $4.00 per pound

Total cost of contents of the mixture = $8.90

The pounds of peanuts = \frac{2.95}{8.90} x 20

                     = 6.63

Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.

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I hope its bigger so u can seeeeeeeeeee!!!
Nata [24]

Answers:

Gabe needs 30 liters of the 50% solution

Gabe needs 30 liters of the 70% solution

Both answers are 30

==================================

Explanation:

We have two beakers, each of which we don't know how much is inside. Let's call this x and y

x = amount of liquid in the first beaker (water+acid)

y = amount of liquid in the second beaker (water+acid)

We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step

We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following

(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60

We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so

(0.5x+0.7y)/60 = 0.60

0.5x+0.7y = 0.60*60 .... multiply both sides by 60

0.5x+0.7y = 36

0.5x+0.7( y ) = 36

0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)

0.5x+0.7(60)+0.7(-x) = 36 .... distribute

0.5x+42-0.7x = 36

-0.2x+42 = 36

-0.2x = 36-42 .... subtract 42 from both sides

-0.2x = -6

x = -6/(-0.2) .... divide both sides by -0.2

x = 30

He needs 30 liters of the 50% solution

Use this x value to find y

y = 60-x

y = 60-30

y = 30

So he needs 30 liters of the 70% solution


3 0
3 years ago
Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0
3 years ago
Please answer! <br> Solve for X
Sedbober [7]

Answer:

x = 3

Step-by-step explanation:

We can solve this by using ratios of similar triangles

3           x

------ = ------------

3+9           12

3           x

------ = ------------

12           12

x must equal 3 to keep the ratios the same

4 0
3 years ago
Read 2 more answers
Is (2,4) a solution of 3x - y = 2?
guajiro [1.7K]

yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.

7 0
3 years ago
Read 2 more answers
One year ago, you purchased 600 shares of stock for $14 a share. the stock pays $.41 a share in dividends each year. today, you
alukav5142 [94]
If you paid $14 for 600, you paid:

600 * 14 = $8,400.00

If you sold them for $15.30 a share, you made:

600 * 15.30 = $9,180

9,180 - 8,400 = $780

The return on the investment being $780

Very very safe investment and not worth it.
5 0
4 years ago
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