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Illusion [34]
2 years ago
10

How many grams of salicylic acid should be added to 75 g of a polyethylene glycol ointment to prepare an ointment containing 6%

w/w of salicylic acid?
Mathematics
1 answer:
Alla [95]2 years ago
6 0

Answer:

4.79 g

Step-by-step explanation:

mass of salicylic acid = ??

Mass of polyethylene = 75 g

% w/w concentration = 6% w/w

Let the mass of  salicylic acid be x

Let the mass of solution = 75 + x

from

% w/w = mass of solute/ mass of solution * 100

Hence concentration of salicylic is;

6 = (x/75 + x) * 100

6/100 = x/75 + x

0.06 (75 + x) = x

4.5 + 0.06x =x

4.5 = x-0.06x

x = 4.5/0.94

x= 4.79 g

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Baby Amelia's parents measure her height every month.
jonny [76]

The statement H(30) = H(25) + 5 means that, "when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old"

<h3><u>Solution:</u></h3>

Given that,

Baby Amelia's parents measure her height every month

It is given that H(t) models Amelia's height (in centimeters) when she was "t" months old

Given statement is H(30) = H(25) + 5

So, we can say that H(30) = Amelia's height when she was 30 months old

H(25) = Amelia's height when she was 25 months old

So H(30) = H(25) + 5 means that,

Height of Amelia when she was 30 months old is 5 centimeter more than Amelia height when she was 25 years old

Or we can say that,

When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old

7 0
2 years ago
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385.
zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let x,y denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

x+y=100\\y=100-x

Also, The bagel shop made $385.

7x+2y=385

Put y=100-x in 7x+2y=385

7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37

So,

Number of special bagel sandwiches = 37

5 0
2 years ago
Now imagine that instead of walking along the path 1→2→3→4→1, ann walks 80 meters on a straight line 33∘ north of east starting
stealth61 [152]

Answer:

Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j} and refer attachment.

Step-by-step explanation:

Let the origin be the point 1 from where Ann start walking.

Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,

Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)

Ann walk as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

Thus, Anna's walk  as a vector representation is 80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}

 




7 0
2 years ago
Read 2 more answers
What value is equivalent to 2 × 3 + 4 − 62?<br> A) -26 <br> B) -22 <br> C) -2 <br> D) 10
deff fn [24]

Hello from MrBillDoesMath!

Answer:

-52. None of the provided choices is correct

Discussion:

Following the usual order of math operations none of the provided answers is correct. The answer is

2*3 + 4- 62 =                => * before + and -

(2*3) + 4 - 62=             => 2*3 = 6

6 + 4 -62 =                   => 6 + 4 = 10

10 - 62 =

-52

Thank you,

MrB

6 0
2 years ago
Read 2 more answers
Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each
luda_lava [24]

127 \div z
8 0
2 years ago
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