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STALIN [3.7K]
1 year ago
10

Kian bought 20 pencils for $1.60. at that rate, how much would 35 dollars cost?

Mathematics
1 answer:
disa [49]1 year ago
4 0

Assuming that in the last part of the statement says pencils instead of dollars:

20 pencils for $1.60

1.60 /20 = 0.08 per pencil

For 35 pencils:

0.08 x 35 = $2.8

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A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex
kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

325 mg + 2mg+15 mg=342 mg

The percentages of each component in the formula are:

Acetaminophen:\frac{325mg*100}{342mg}=95.03%

Chlorpheniramine maleate:\frac{2mg*100}{342mg} =0.58%

Dextromethorphan hydrobromide:\frac{15mg*100}{342mg}=4.39%

If 1 Kg=10^{6} mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

\frac{10^{6} mg *0.58}{95.03}=6153.85 mg

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

\frac{10^{6}mg*100}{95.03}=1052307.7mg

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

\frac{1052307.7mg}{342mg}=3076.923

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0
3 years ago
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
frutty [35]
The slope would be 0

This is basically how you do it if you need more help let me know

6 0
3 years ago
Read 2 more answers
A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?
Zigmanuir [339]

Answer:

<u><em>6</em></u>

Step-by-step explanation:

Hey there) The formula of your line is:

-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\

If point has y=-4, then:

-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6

Hope this helps) Have a nice day/night :)

8 0
3 years ago
Select the correct name for the following line.
gavmur [86]
Line AB is a line, for the line continues through the points given and goes on 'forever'

hope this helps
3 0
3 years ago
Read 2 more answers
Write the equation of a line that passes through (-1,3) (0,8)
gizmo_the_mogwai [7]

You'll be using point slope form to solve this.

As the name suggests, you'll need the slope as well as a point. To find the slope use the slope formula: \frac{y_2-y_1}{x_2-x_1}

Plug in the points.

\frac{8-3}{0-(-1)} =\frac{5}{1} =5

The slope of this line is 5.

Point slope form is y-y1 = m(x-x1), so plug in the slope and a point into this equation. I'll use (0,8).

y-(8) = 5(x-(0))

1. Write this out without parentheses.

y-8 = 5(x)

2. Multiply 5 and x.

y-8 = 5x

3. Add 8 to both sides.

y = 5x+8

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answer is:

y = 5x+8

6 0
3 years ago
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