Craft project

A chemist needs 130 milliliters of a 47% solution but has only 35% and 87% solutions available. Find how many milliliters of eac

choli [55]

Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 30 milliliters

Step-by-step explanation:

Given: Total solution required = 130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

$0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=\dfrac{52}{0.52}=100$

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 130-100 milliliters =30 milliliters

3 0

2 years ago

Is it right

Rasek [7]

F(t) = t2 + 4t − 14

y + 14 + 4 = ( t2 + 4t +4)

y + 18 = ( t + 2)^2

so the vertex of the parabola is ( -2 , -18)

the axis of symmetry is y = -18

8 0

3 years ago

100 POINTS PLEASE PROVIDE STEPS THANK YOU!!

kolbaska11 [484]

Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

5 0

3 years ago

Read 2 more answers

7/13 of the population of a town is female.of the males 2/3 are married,What fraction population consists of unmarried men?

Mariana [72]

Answer:

Step-by-step explanation:

$\frac{7}{13}$ -Female

$\frac{2}{3}$ - Men Married.

$\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}$

Hope this helps :)

3 0

3 years ago

4. The population of Bay Village is 35,000 today. Every year the

frosja888 [35]

Answer:

Linear Model: y(x)=35,000+750x

Step-by-step explanation:

In principle Linear Models are employed when we want to define a relationship between an independent and a dependent variable. Linear Models are also known as Functions , where one variable is expressed as a function of at least one other variable. The most common example would be a dependent variable $y$ that is directly linked as a response to any changes of an independent variable $x$ . The most common expression of such relationship would be $y=ax$ where $a$ is the relationship factor between $y$ and $x$ and is also known as the slope of the function (representing a rate of change of that function).

In this question we are told that the population of Bay Village today is 35,000. So we know this is our constant variable, lets call it $b$ .

Next we know that every year the population is increased by 750 people. So we know that our variable and thus our independent variable is every year which we shall call $x$ and our fixed factor is the 750 increment which we will call $a$ .

From that we can conclude that:

Year 1 Population: 35,000

Year 2 Population: 35,000 + 750 = 35,750

Year 3 Population: 35,750 + 750 = 36,500

And so on and so forth.

So we want to express the above as a Linear Model of the form:

$y = ax + b$ Eqn(1).