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Nostrana [21]
3 years ago
12

I dont understand it​

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

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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
adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an
Tom [10]

Adults = 9

Children = 2


Let x be the number of adults.

11-x is the number of children.


22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9  number of adults.


11 - x = 11 - 9 = 2 number of children.


To check:


22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228


(not my answer btw)

3 0
3 years ago
Read 2 more answers
A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do
Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

6 0
4 years ago
Linear Equation <br> 24 + 6a = 6 - 4a <br> Please help me with this ASAP
KatRina [158]

Answer:

Step-by-step explanation:

1. Combine Like Terms

24 + 6a = 6 - 4a

+4a          +4a

24 + 10a = 6

-24            -24

10a = -18

___   ___

10      10

a= -1.8

4 0
3 years ago
Evaluate plzzz help am giving brainliest
zhannawk [14.2K]
The answer to the question is 215
4 0
3 years ago
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