Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.

There are 30% of pure antifreeze in 3 gallons of solution, then

3 gallons - 100%,

a gallons - 30%,

where a gallons is the amount of pure antifreeze in given solution.

Mathematically,

$\dfrac{3}{a}=\dfrac{100}{30},\\ \\a=\dfrac{3\cdot 30}{100}=0.9\ gallons.$

Now in new solution there will be x+0.9 gallons of pure antefreeze.

x+3 gallons - 100%,

x+0.9 - 65%

$\dfrac{x+3}{x+0.9}=\dfrac{100}{65},\\ \\65(x+3)=100(x+0.9),\\ \\65x+195=100x+90,\\ \\35x=105,\\ \\x=3\ gallons.$

Answer: he should add 3 gallons of pure antifreeze.

8 0

2 years ago

Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.

11111nata11111 [884]

Answer:

For the first one: they increase in by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

8 0

2 years ago

make a conjecture (prediction) about the table. what will happen if we continue the table, going down? ​

make a conjecture (prediction) about the table. what will happen if we continue the table, going down?