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3 years ago

Solve equation for the given variable

Mathematics

2 answers:

Alenkinab [10]3 years ago

8 0

Answer:

p=30

Step-by-step explanation:

First, you need to subtract 10 from both sides to get 1/2p=25. You do this just because simplifying is much easier.

Then, you need to isolate p, so you divide 1/2 by both sides, which is the same thing as multiplying by 2. 1/2*2p=15*2.

Simplifying, you get p=30.

saul85 [17]3 years ago

8 0

Answer:

2. x = 2

3. p = 30

4. n = 1/10 ---> less than 1 whole

5. r = 5/2 ----> greater than 1 whole

Step-by-step explanation:

See the images attached below for better understanding. If you don't understand the steps I've composed, please comment down below and I will help you! :)

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ziro4ka [17]

Get the app PHOTOMATH

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3 years ago

What one was c because all them look alike but different solutions

ElenaW [278]

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4 years ago

A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

b. $\frac{dA}{dt}= -11.25 \frac{mg}{h}$

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0

3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0

3 years ago

Square the Monomials<br><br> (-7a^3b^5)^2 <br> - (9a^4bc)^2

Law Incorporation [45]

Answer:

1. 49a^6b^10

2. −81a^8b^2c^2

Step-by-step explanation:

N/A

3 0

3 years ago