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Murrr4er [49]
3 years ago
7

Please help!!! i will give brainliest

Mathematics
2 answers:
belka [17]3 years ago
6 0
Susan has 50 so the difference is 5 sense sheila had 45
IRISSAK [1]3 years ago
3 0
The difference is 5.......
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I need help with this word problem it’s urgent please help.
harkovskaia [24]

Starting with some solution of volume <em>v</em> and an alcohol concentration of 100<em>c </em>% , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + <em>v</em>.

Each mL of the starting solution contains <em>c</em> mL of alcohol. For example, if the concentration of the starting solution is 80% (so <em>c</em> = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

<em>cv</em> + 0.45 (180 mL) = 0.7 (180 mL + <em>v</em>)

and you want to solve for <em>v</em> :

<em>cv</em> + 81 mL = 126 mL + 0.7<em>v</em>

<em>cv</em> - 0.7<em>v</em> = 126 mL - 81 mL

(<em>c</em> - 0.7) <em>v</em> = 45 mL

<em>v</em> = (45 mL) / (<em>c</em> - 0.7)

Judging by context clues, <em>c</em> lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, <em>c</em> = 0.8, so that your starting solution is at 80% concentration, then you would need

<em>v</em> = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that <em>c</em> = 1, you would need

<em>v</em> = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

3 0
3 years ago
What’s is the inverse function of a(m)=0.6735e^0.423m
natta225 [31]

Answer:

a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}

Step-by-step explanation:

The function is  a(m)=0.6735e^{0.423m}

Changing functional notation of a(m) to y:

y=0.6735e^{0.423m}

Now, interchanging m and y:

m=0.6735e^{0.423y}\\

Now, solving for y:

e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}

Thus, the inverse function is:

a^{-1}(m)=\frac{ln(\frac{m}{0.6735})}{0.423}

5 0
3 years ago
!/8 pound of fertilizer covers 25 square feet of ground, how much fertilizer, in pounds, is needed to cover 1 square foot ground
suter [353]

Answer:

  • 1/200 pounds

Step-by-step explanation:

<u>Given ratio</u>

  • 1/8 pound ⇔ 25 square feet

<u>To find </u>

  • x ⇔ 1 square foot

<u>Divide both sides by 25</u>

  • 1/8÷25 pounds ⇔ 25÷25 square feet
  • 1/200 pounds ⇔ 1 square foot
3 0
3 years ago
Read 2 more answers
I need help on this.
mote1985 [20]

Let's go:


7 = x

38 + x = 180

x = 180 - 38

x = 142°


7 = 142°


I hope I helped you



5 0
3 years ago
Solve this inequality.<br> 8x + 6 x 54
sergeinik [125]
8x+324 is the answer, all you have to do is multiple 6 times 54
4 0
3 years ago
Read 2 more answers
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