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2 years ago

What is 100kg decrease by 12.5%

Mathematics

2 answers:

kherson [118]2 years ago

8 0

Turn the percentage into decimal: 12.5 / 100 = 0.125

Multiply: 100 * 0.125 = 12.5

Subtract: 100 - 12.5 = 87.5

~Good luck

erma4kov [3.2K]2 years ago

3 0

Answer:

87.5

Step-by-step explanation:

100 - (12.5% × 100)

100 - 12.5% × 100

(1 - 12.5%) × 100

(100% - 12.5%) × 100

87.5% × 100

87.5 ÷ 100 × 100

87.5 × 100 ÷ 100

8,750 ÷ 100 = 87.5

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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.

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2 years ago

a store sells small notebooks for $7 and large notebooks for $14. if a student buys 6 note books for $63, how many notebooks eac

bija089 [108]

The answer is 3 of each. 3X7=21; 14X3=42, and 42+21= 63.

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2 years ago

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How do you understand what happens on a fraction number line and how do you know where the fraction is. Tell me how we will be a

frozen [14]

9514 1404 393

Answer:

understand what the fraction means

Step-by-step explanation:

First of all, you need to understand what 2/3 means. It means 1 whole has been divided into 3 equal parts, and you're concerned with 2 of those parts.

In the number line in the first attachment, the space between 0 and 1 has been divided into 3 equal parts. The decimal value (rounded) is shown at each tick mark. The point marked "2/3" is located at the second of those divisions, counting from zero.

The same fraction is located on the same number line in the second attachment. That number line is marked with divisions at intervals of 1/10, so there are 10 of them between 0 and 1. The value 2/3 is represented by the point that is (2/3)(10) = 6 2/3 of those intervals, so is between 0.6 and 0.7 on the number line.

If the number line were divided into 12ths, then the fraction 2/3 would be located at the 8th tick mark, counting from 0. (2/3)(12) = 8 That is shown in the third attachment.