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Artemon [7]
3 years ago
15

Evaluate 12x – 3y when x = -1/4 and y=3. The value of the expression is

Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer:

3

Step-by-step explanation:

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A scientist needs to make 2 liters of saline solution (salt water), in which the salt level must be at 15% concentration (meanin
slamgirl [31]

Answer:

We need 1.6 liters of the 10 % concentration level and saline solution  and 0.4 liters of the 35 % concentration level and saline solution.

Step-by-step explanation:

Let V₁ be the volume of the 10% concentration saline solution required and V₂ be the volume of 35% concentration saline solution required.

Since mass = concentration × volume, the total mass of the 10% and 35% volume saline solution equal the mass of the 2 liter 15% volume solution.

So, 0.1V₁ + 0.35V₂ = 2 × 0.15

0.1V₁ + 0.35V₂ = 0.3 (1)

Also, the total volume of the 15 % solution must equal 2 liters. So,

V₁ + V₂ = 2 (2)

V₁ = 2 - V₂  (3)

putting equation (3) into equation (1), we have

0.1(2 - V₂) + 0.35V₂ = 0.3

0.2 - 0.1V₂ + 0.35V₂ = 0.3

we now collect terms, so

- 0.1V₂ + 0.35V₂ = 0.3 - 0.2

0.25V₂ = 0.1

we now divide through by 0.25, so

V₂ = 0.1/0.25

V₂ = 0.4   liters  

we now put V₂ into (3), we have,

V₁ = 2 - 0.4  

V₁ = 1.6 liters

So, we need 1.6 liters of the 10 % concentration level and saline solution  and 0.4 liters of the 35 % concentration level and saline solution.

3 0
3 years ago
PLEASE I NEED THE ANSWERS FOR THESE THREE QUESTIONS ASAP
LiRa [457]

Answer:

2) 49

3) 8

4) 85

Hope you still need them and that they are correct!

3 0
3 years ago
The graph shows the value of an investment after x years.
rusak2 [61]

Answer:

i think it's rate of <em>1% </em>for the first one and id.k what the other one is, srry.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The perimeter of a geometric figure is the sum of the lengths of its sides. If the perimeter of the pentagon to the right​ (five
adell [148]

Answer:

Step-by-step explanation:

Our perimeter, since we have 5 sides that are all the same length, is

P = 5s, where P is perimeter and s is the length of the sides.  For us,

80 = 5s, so

s = 16

7 0
3 years ago
Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by incr
notka56 [123]

The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.

<h3>What is a confounding variable?</h3>

A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.

Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.

In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.

Read more on confounding variable here: brainly.com/question/10863424

#SPJ1

3 0
2 years ago
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