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Elden [556K]
2 years ago
11

How much water must be added to 30 ounces of a 46% solution of argyrol to reduce it to a solution that is 15% argyrol?

Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Answer:

62 oz

Step-by-step explanation:

Let the volume of water to add be x so that the new volume will be (30+x) oz

The new concentration is now 15%, expressed in decimal as 0.15 and it is found by dividing the initial concentration by new volume

\frac {0.46*30}{30+x}=0.15\\\frac {0.46*30}{0.15}=30+x\\92=30+x\\x=62

The volume of water to add is equal to 62 oz

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2x-4y=-20 write it in y=ax+b form
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Answer:

y =  \frac{1}{2} x + 5

Step-by-step explanation:

2x - 4y =  - 20 \\  \\  - 4y =  - 2x - 20 \\  \\ y =  \frac{ - 2}{ - 4}x  -  \frac{20}{ - 4}  \\  \\ y =  \frac{1}{2} x + 5

8 0
2 years ago
Three friends meals at a restaurant cost is 13,14,and 11 dollars. Use parentheses to write two different expressions to show how
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Write the equation of each line using the given information.
MrRissso [65]

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

y-y_{1}=m(x-x_{1})

We need a slope and y-intercept to write in slope intercept form.

y=mx+b

A) y-1=\frac{1}{2}(x+4) or y=\frac{1}{2}x+3

B) y+1=-1(x-2)

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4 0
3 years ago
Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
Two quadratic functions are shown.
slava [35]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

Function 1,

f(x) = 4x² + 8x + 1

     = 4(x² + 2x) + 1

     = 4(x² + 2x + 1 - 1) + 1

     = 4(x² + 2x + 1) - 4 + 1

f(x) = 4(x + 1)² - 3

This graph opens up with the vertex or minimum point at (-1, -3)

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Function (2)

From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)

Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)

Option (1) is the correct option.

7 0
2 years ago
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