Answer: 1.6 quarts
Step-by-step explanation:
Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.
[40% can be written as 0.40.]
Then, the amount of antifreeze in radiator =
(1)
If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.
[60% can be written as 0.60.]
Then, the amount of antifreeze in radiator =
(2)
Now subtract (1) from (2) we get,
The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-

Hence, the 1.6 quarts of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze
Answer:
The numbers for which the given property hold true are <em>12 </em>and <em>-7</em>
Step-by-step explanation:
Let the number be
.
As per the given statement:
Square of the number (
) is 84 more than five times of the number (
).
Writing in the equation form:

To find:
All the numbers for which above equation holds true.
Solution:

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.
It is a quadratic equation(i.e. maximum power of
is 2) so it will have 2 solutions i.e. 2 values of
for which the above equation will hold true.

Let us factorize the equation.

So, the numbers for which the given property hold true are <em>12 </em>and <em>-7</em>.
Answer:
Yes. 'b' is a like term
Step-by-step explanation:
We have to represent the fraction
in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore, 
Therefore,
is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore, 
Therefore,
is the second way to represent the given fraction.
Therefore,
and
are the different ways to represent the fraction
.
Answer: 9
Step-by-step explanation:
12 insulators = 183/4 hours
x = 281/8
x × 183/4 = 12 ×281/ 8
183x/4 = 6 × 281/4
183x / 4 = 1686 / 4
4 cancel out 4
183x = 1686
Divide bothside by 183
x = 1686/183
x= 9.21311
x = 9 approximately.