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DerKrebs [107]
3 years ago
7

Ketoprofen 20%, cyclobenzaprine 2%, baclofen 2%, in TD cream. Calculate to make 120g

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
What the question is asking you to do is to (say) calculate 20% of 120 grams.
(20/100) * 120 = 20 * 120 / 100 = 2400 / 100 = 24 grams of Ketoprofen
(2/100) * 120 = 240/ 100 = 2.4 grams of cyclbenzprine.
(2/100) * 120 = 2.4 grams of baclofen

The total amount of the active ingredients is 28.8 grams.
The rest is (say) water or something that is inactive.
120 - 28.8 = 91.2 grams of inactive material. You don't need to know this, but it might explain why this question gave you trouble.
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The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg
taurus [48]

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

\frac{x}{2}

and

\frac{x}{2}  \sqrt{3}

Where x is the longest side, which is given as 18.

Therefore one leg will be:

\frac{18}{2}  = 9

and the other leg will be:

\frac{18}{2}  \sqrt{3}  = 9 \sqrt{3}

4 0
3 years ago
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth tes
Keith_Richards [23]
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
4 0
3 years ago
Read 2 more answers
Can you help show me where they belong ? pls help asap
kozerog [31]

y=3x, y=(2/7)x,-0.5=y are all on direct the other ones are on the other side i just did the question they correct. :)

5 0
3 years ago
Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s
noname [10]

Answer:

14 Striped and 10 Flowered

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

15(24 - h) + 13h = 340

360 - 15h + 13h = 340

2h = 20

h = 10

g = 24 - h

g = 24 - 10

= 14

4 0
3 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

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

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
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