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AURORKA [14]
3 years ago
5

One antifreeze solution is 31% alcohol and another is 15% alcohol. How much of each mixture should be added to make 28 L a solut

ion that is 27% alcohol ?
Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Let

<em>x</em> = volume of the 31% solution

<em>y</em> = volume of the 15% solution

We want a solution with a total volume of 28 L, so

<em>x</em> + <em>y</em> = 28

For each liter of either solution, there is a contribution of 0.31 L and 0.15 L of alcohol, respectively. In the resulting solution, we want a concentration of 27% alcohol, which comes out to 0.27 * 28 L = 7.56 L. So

0.31 <em>x</em> + 0.15 <em>y</em> = 7.56

The first equation says

<em>y</em> = 28 - <em>x</em>

Substitute this into the second equation and solve for <em>x</em>, then for <em>y </em>:

0.31 <em>x</em> + 0.15 (28 - <em>x</em>) = 7.56

0.31 <em>x</em> + 4.2 - 0.15 <em>x</em> = 7.56

0.16 <em>x</em> = 3.36

<em>x </em>= 21

<em>y</em> = 28 - <em>x</em>

<em>y</em> = 7

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Answer:

$39.10

Step-by-step explanation:

$40 * 1.15 = $46

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7 0
3 years ago
7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%
olya-2409 [2.1K]

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

\text { Amount earned through commission }=\text { Total amount earned - Base salary }

=6000 - 4000 = 2000

Also we know,  

\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }

Let the commission amount be x

10 \% \times x=2000

10 / 100 \times x=2000

0.1 \times x=2000

x=20,000 \div 0.1

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

4 0
3 years ago
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
posledela

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Step-by-step explanation:

7 0
2 years ago
Please solve this by solving systems by elimination<br><br><br>6x+3y=-18<br><br>7x+7y=0
gavmur [86]

Answer:

Step-by-step explanation:

6x + 3y = -18

Taking 3 common from left side

so, 3(2x+y) = -18

2x+y = -18/3

2x+y = -6 (equation 1)

and, 7x + 7y = 0

Taking 7 as commom from left side

7(x + y) = 0

x + y = 0/7

x + y = 0 (equation 2)

now , by using elimination method

subtracting equation2 from equation1

2x + y - (x + y)= -6 - 0

2x + y - x - y = -6

x = -6

so, x = -6

substituting value of x in equation 1

2(-6) + y = -6

-12 + y = -6

y = -6 +12

y = 6

hence, the value of x = -6

          and value of  y = 6

7 0
3 years ago
A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the le
Jlenok [28]

Answer:

 l=238\ yards

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 l=9w-14

Where

w=width\ of\ triangle

Generally the equation for Area of Rectangle is mathematically given by

 A=(9w-14)w

 A=9w^2-14w

 6183=9w^2-14w

 9w^2-14w-6183=0

 w=28

Therefore

 l=9(28)-14

 l=238\ yards

4 0
3 years ago
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