What is greater 0.097 or 97%

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

so

I)

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

What is 100% of $62?

Alex Ar [27]

Answer:la respuesta es 62 $

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Which two values of x are roots of the polynomial below?<br> 3x2-3x+1

QveST [7]

Answer:

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

Step-by-step explanation:

we have

$3x^2-3x+1$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2-3x+1=0$

so

$a=3\\b=-3\\c=1$

substitute in the formula

$x=\frac{-(-3)\pm\sqrt{-3^{2}-4(3)(1)}} {2(3)}$

$x=\frac{3\pm\sqrt{-3}} {6}$

Remember that

$i=\sqrt{-1}$

so

$x=\frac{1}{6} [3\pm i\sqrt{3}]$

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

6 0

3 years ago

Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot

MrMuchimi

Complete question :

Lucy has block letters that are in the shape of cubes with sides 2 3 foot long. She has a box which is 1 1 3 foot long, 2 3 foot wide, and 2 3 foot tall. Find the number of block letters that will fit in the box.

Answer:

1/2

Step-by-step explanation:

Number of block letters that will fit in :

Volume of box ÷ volume of each letter cube

Volume of each letter cube = (side length)³ = (2/3)³ = 8/27 ft³

Volume of box = length * width * height

Volume of box = 1 1/3 * 2/3 * 2/3

Volume of box = 4/3 * 2/3 * 2/3 = 16 / 27 ft³

Therefore ;

8/27 ÷ 16/27

8/27 * 27/16

= 8/16

= 1/2

7 0

3 years ago

Roberto, Christopher, and Levi are amateur cyclist riding in the 165.1 km long Tour of Cortez bicycle race. Each cyclist is indi

Naddik [55]

Answer:

Levi
Christopher
Roberto

Step-by-step explanation:

I like to work problems involving repetitive calculations using a spreadsheet. The sort function can easily put the results in the appropriate order.

__

Here, we need to compute minutes and kilometers remaining for each cyclist, and then divide the former by the latter to find the required timing.

Minutes remaining will be the difference between the qualifying time and the time used so far.

Km remaining will be the difference between the race length and the distance traveled so far.

Required minutes per km will be the ratio of minutes remaining to km remaining.

Levi has the least allowed minutes per km for his remaining distance. Roberto has the most.

_____

Christopher only has to increase his average speed by about 5% in order to qualify; Levi has the greatest challenge, as he needs about 18% more speed for the rest of the race.

4 0

3 years ago