MATHEMATICS HIGH SCHOOL

A scientist needs 10 litera of a 20% acid solution for an experiment but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?

Answers

Answer 1

Answer:

x = liters of 5% solution

y = liters of 40% solution

The scientist wants 10 L total of a 20% solution, so

x + y = 10

0.05 x + 0.40 y = 0.20 (x + y) = 2

From the first equation,

y = 10 - x

Substitute this into the second equation and solve for x :

0.05 x + 0.40 (10 - x) = 2

0.05 x + 4 - 0.40 x = 2

2 = 0.35 x

x ≈ 5.714 L

Solve for y :

y = 10 - x

y ≈ 4.286 L

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Answers

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A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.

Answers

Hello,

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The distance between -32 and
13

Answers

Answer: To find the distance between -32 and 13, we need to calculate the absolute difference between the two numbers.

The absolute difference is the positive value of the subtraction of one number from another. In this case, we subtract -32 from 13.

13 - (-32) = 13 + 32 = 45.

Therefore, the distance between -32 and 13 is 45 units.

Give me 3 examples of a ratio

Answers

Answer:

2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing

Step-by-step explanation:

I'd seriously appreciate it if anyone could help ASAP! I'm giving Brainliest!The point (-6, y) lies on the graph of the equation: 5y=2x−4.

What is the value of y?

- $(5)/(16)$

$(5)/(16)$

$(16)/(5)$

- $(16)/(5)$

I believe it is $(5)/(16)$ but I'm not sure.

Answers

Answer:

- 16/5

Step-by-step explanation:

We have point with coordinates (-6, y) which lies ( or belong) on the graph of the straight line 5y=2x-4

When we replace x= -6 in given equation we get 5y = 2·(-6)-4 => 5y= -12-4 =>

5y= - 16 => y= - 16/5

Good luck!!!