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Morgarella [4.7K]
3 years ago
10

How much of the 8% solution should we use to make 100g of a 3% solution?

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

37.5 g

Step-by-step explanation:

The final solution will contain 3% × 100 g = 3 g of solute. This amount of solute will be found in w grams of 8% solution, where ...

... 3 = 0.08 × w

... 3/0.08 = w = 37.5 . . . . . grams of 8% solution

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What is the volume of a rectangular prism with length 7 cm, height 8 cm, and width 15 cm? A. 840 cm3 B. 840 cm2 C. 840 cm
SVETLANKA909090 [29]
It would be A 
8*7*15=840

3 0
3 years ago
What is the inverse and restricted domain of the equation 8x^2-3
kari74 [83]

Answer:  \bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}

<u>Step-by-step explanation:</u>

y = 8x² - 3            (Restriction: none -  x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3            <em>swapped the x and y</em>

x + 3 = 8y²           <em>added 3 to both sides</em>

\dfrac{x+3}{8}=y^2           <em>divided both sides by 8</em>

\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}           <em>square rooted both sides</em>

\pm \sqrt{\dfrac{x+3}{8}}=y           <em>simplified</em>

\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y           rationalized the denominator

\pm \sqrt{\dfrac{2(x+3)}{16}}=y           <em>simplified</em>

\pm \dfrac{\sqrt{2(x+3)}}{4}=y           <em>simplified</em>

<u>Restriction:</u>

The radical <em>(inside the square root sign)</em> cannot be negative

→  2(x + 3) ≥ 0

      x + 3 ≥ 0         <em>divided both sides by 2</em>

      x       ≥ -3         <em>subtracted 3 from both sides</em>



4 0
3 years ago
Helpppppppppppppppppppppppppp
ddd [48]
Answer:
The last choice is the correct one

Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)

For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)

Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)

Hope this helps :)
5 0
3 years ago
Mr. Smith and Mr. Stein were driving to a business meeting 27
Morgarella [4.7K]

Answer:

35

Step-by-step explanation:27-21=35

6 0
2 years ago
Find the area of the figure.<br> 5.5 cm<br> 20 cm<br> The area of the figure is
omeli [17]

Answer:

25.5 cm²

Step-by-step explanation:

5.5 cm × 20 cm = 25.5 cm²

7 0
3 years ago
Read 2 more answers
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