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attashe74 [19]
3 years ago
9

Michael has 2 liters of a 10% solution. How much of a 17% solution would he need to add to get a 15% solution?

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0

Answer:

5 liters

Step-by-step explanation:

Anton [14]3 years ago
4 0

Answer:

5 liters

Step-by-step explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

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What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
Sedaia [141]

The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.

Step-by-step explanation:

If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.

m = \frac{y2-y1}{x2-x1}

In this case,

x1  = 5

x2 = 7

y1  = 80

y2 =  65

By putting the values in formula, we get

m = \frac{(65-80)}{7-5}

m = \frac{(-15)}{2}

or

m = -7.5

Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.

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3 years ago
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Find two equivalent fractions for 2/12
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1/6 (divide each by 2)
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3 years ago
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5/6 of a number is 65.<br> Find the number.
Dmitry [639]
The answer is 78

Explanation:

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Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial
uranmaximum [27]

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

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Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

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<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        \dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1

3x²-5x⁴+2x-12                           \sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16

Therefore the polynomials and non-polynomials are shown in the table above.

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5 0
1 year ago
On the first day of ticket sales the school sold 1 senior citizen ticket and 5 child tickets for a total of $60. The school took
Stells [14]

Answer:

Step-by-step explanation:

Let's start off with the first equation

5x + y = 60

We need to find what X and Y are.

Let's try subtracting a few numbers from 60.

Let's do 60 - 55 = 5

11x5 = 55

11 = Children Ticket Cost

5 = Seniors Ticket Cost

Without them being the same price!

So using the numbers we found, we can now solve the second one

14x5 = 70

11x11 = 121

70 + 121 = 191

There we go!

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