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ololo11 [35]
3 years ago
11

How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro

und to two decimal places, as needed
Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

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Solve for x. 1/4+1/2+x=−3/4<br><br> Please Hurry!
seraphim [82]

Answer:

If you want it solved to exact form which im assuming you do the answer is x= -3/2

But if you want decimal form it is x= -1.5 and the mixed number form is x= -1 1/2

Tip for the future if you have questions like this use Math-way  its a website. Its an algebra calculator and it works wonders. :)

Step-by-step explanation:

4 0
3 years ago
Associations In Data:Question 10
Karo-lina-s [1.5K]

Answer:

\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9

|62-78.9| = 16.9

|63-78.9| = 15.9

|68-78.9| = 10.9

|72-78.9| = 6.9

|79-78.9| = 0.1

|80-78.9| = 1.1

|83-78.9| = 4.1

|93-78.9| = 14.1

|94-78.9| = 15.1

|95-78.9| = 16.1

MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}

And replacing we got:

MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12

And the best anwer is

10.12

Step-by-step explanation:

We have the following data given:

62 63 68 72 79 80 83 93 94 95

And we need to begin finding the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9

Now we can find the mean absolute deviation like this:

|62-78.9| = 16.9

|63-78.9| = 15.9

|68-78.9| = 10.9

|72-78.9| = 6.9

|79-78.9| = 0.1

|80-78.9| = 1.1

|83-78.9| = 4.1

|93-78.9| = 14.1

|94-78.9| = 15.1

|95-78.9| = 16.1

And finally we can find the mean abslute deviation with the following formula:

MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}

And replacing we got:

MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12

And the best anwer is

10.12

8 0
3 years ago
Can someone help me with this, I got 115 from 180-65 is this right?
Kobotan [32]

Answer:

yes

Step-by-step explanation:

your answer is correct

5 0
2 years ago
Read 2 more answers
Lou runs 4 miles each day for 5 days a week. If he does this for 7 weeks, how
Shkiper50 [21]

Answer:

140 miles

Step-by-step explanation:

4 per day for 5 days a week

= 4x5=20 miles a week

For 7 weeks= 20x7= 140 miles

4 0
2 years ago
Read 2 more answers
= 7(8n - m ) how do I rewrite this in distributive property?
Natalija [7]
Answer:

56n - 7m

Explanations:

Note that according to the distributive property:

a(b + c) = ab + ac

a(b - c) = ab - ac

Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.

7(8n - m) = 7(8n) - 7m

7(8n - m) = 56n - 7m

8 0
10 months ago
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