Ask question

Ask question

All categories

3 years ago

9

how many gallons of a 70% antifreeze solution must be mixed with 80 gallons of 25% antifreeze to get a mixture that is 60% antif

reeze?

1 answer:

Law Incorporation [45]3 years ago

6 0

Answer:m(.70)+80(.25)=.6(m+80)

.7m+20=.6m+48

.1m=28

m=28/.1=280 gallons of 25% antifreeze needed

Step-by-step explanation:

You might be interested in

The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170". What is the measure of the

levacccp [35]

The measure of the largest exterior angle of hexagon is 105

<u>Solution:</u>

Given, The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170".

We have to find what is the measure of the largest exterior angle?

Now let us find the 6th interior angle,

We know that, sum of interior angles of hexagon = 720 degrees

115 + 125 + 85 + 150 + 170 + 6th angle = 720

645 + 6th angle = 720

6th angle = 720 – 645

6th angle = 75 degrees

Now we have to find the largest exterior angle, we know that, the complement of largest exterior angle will be smallest interior angle.

So, here smallest interior angle is 75

sum of interior and exterior angle equals to 180

Hence interior angle + exterior angle =180

Then, 75 + exterior angle = 180

Exterior angle = 180 – 75 = 105.

Hence, exterior angle is 105 and 1st option is correct.

4 0

3 years ago

How to put 24/27 in simplest form

iogann1982 [59]

Answer:

8/9

Step-by-step explanation:

divide both numerator and denominator by 3

therefore u get 8/9

5 0

3 years ago

Read 2 more answers

What is the equation for the line of reflection that maps the trapezoid onto itself?

kvv77 [185]

The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.

6 0

3 years ago

Read 2 more answers

By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. Wha

aleksandr82 [10.1K]

The initial investment was 3.03 because this is the value that does not change and comes before the value with the exponent "2x" is mentioned.

6 0

3 years ago

Read 2 more answers

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

3 years ago