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natka813 [3]
3 years ago
10

How much water should be added to 3 gallons of pure acid in order to obtain the 15% acid solution? HELP DUE BY TOMMOROW MORNING

Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0
3 gallons of acid = 100% concentration acid
? (water+acid) gallons = 15 concentration acid

Note: Every gallon of water added reduces the percentage concentration of acid. Therefore, the relationship is inverse proportionality.

Solution:

Total number of gallons (water+acid) = (3*100)/15 = 20 gallons
Therefore, gallons of water = 20-3 = 17 gallons
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pashok25 [27]
I am honestly not sure about this answer... try Khan Academy. Or, try breaking it down into steps.

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6 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
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3 years ago
A research center poll showed that 83​% of people believe that it is morally wrong to not report all income on tax returns. What
Marat540 [252]
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4 0
3 years ago
Mieko said that the difference between the longest rose and the shortest rose is 1 inch. Is she correct?
erastova [34]

Answer:

Mieko is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

The length difference

Lengths with dot(s) means, there is at least 1 rose flower of that length.

So, from the attachment, we have:

Longest = 14.0

Shortest = 13.0

The difference (d) is:

d = Longest - Shortest

This gives:

d = 14.0 - 13.0

d = 1\ in

<em>Hence, Mieko is correct</em>

3 0
2 years ago
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