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Fofino [41]
3 years ago
7

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

70 % salt and Solution B is 95 % salt. She wants to obtain 80 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Mathematics
1 answer:
son4ous [18]3 years ago
3 0
<h3>Answer:</h3>
  • 32 ounces of 95% salt
  • 48 ounces of 70% salt
<h3>Explanation:</h3>

Let x represent the number of ounces of 95% salt she should use.

Then the total amount of salt in the 80 ounces of solution is ...

... 0.95x + 0.70(80-x) = 0.80·80

... 0.25x = 64 -56 . . . . . . . collect terms, subtract 56

... x = 8·4 = 32 . . . . . . . . . . multiply by 4

She should use 32 ounces of 95% salt and (80-32=) 48 ounces of 70% salt,

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4 0
4 years ago
(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or
olasank [31]

Answer:

(Missing part of the question is attached)

L(x)=2x+3

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

f(1)=5

where the graph of its derivative is shown in the attachment

<h3>(a)</h3>

If the function f\\ is differentiable at point x=1 , the tangent line to the graph of f at 1 is given by the equation:

y=f(1) +f'(1)(x-1)

So we call the linear function:

L(x)=f(1) +f'(1)(x-1)

We know the f(1)=5 as it is given in the question, and f'(1)=2 from the graph attached. Substitute in the equation of L(x).

L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\

<h3>(b)</h3>

At x=1,  f'(x) is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve f. Thus, The estimates are too large.

4 0
3 years ago
Need help on 7,8,9,10,11 and 12 DUE TOMORROW
Dennis_Churaev [7]
7) (12 + 6)/(2 +4)
(18)/(6) = 3

8) (42 - 24)/6
(18)/6 = 3

9) (9 + 16) - (2 x 4)
25 - 8 = 17

10) 60 - (3 + 2) x 5
60 - 5 x 5
60 - 25 = 35

11) 18 + (9/3) 
18 + 3 = 21

12) 5 x (2 + 4 + 3)
5 x (9) = 45



hope this helps
3 0
3 years ago
Read 2 more answers
Simplify this equation<br> (3X^2+21X+33)/(X+5)
Amiraneli [1.4K]

Answer:

(3x^2+21x+33) / (x+5)

You can use long division:

(3x^2+21x+33)

--------------------

       (x+5)

=3x+6+ 3/x+5

Step-by-step explanation:

6 0
3 years ago
3x+2y=4 <br>8x+5y=9<br><br>Please solve using Cross multiplication method.​
ch4aika [34]

Hello, Please refer the photo attachment for your question's answer. The final answer is :-

<u>x= -2, y= 5</u>

Hope it helps you...

Answered by Benjemin

3 0
3 years ago
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