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3 years ago

I don’t know how to divide the fraction

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

Step-by-step explanation:

1 7/8 ÷ 3/4 = 15/8 ÷ 3/4

= 15/8 × 4/3

= 45/24 × 32/24

= 1440/24

= 60

weqwewe [10]3 years ago

7 0

Answer:

-2.5 or 5/2

Step-by-step explanation:

-1 ⅞ ÷¾

=-15/8×4/3

=-60/24= -5/2 or -2.5

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I need help with 2 questions in distributive property

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4 years ago

If Juan deposits $4,600 in a saving account that earns 3.8% compound continuously, how much money should he expect to be in the

Sindrei [870]

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4 years ago

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Which equation represents this sentence?

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3 years ago

Solve for x: 4(x + 2) = 3(x - 2)

Pani-rosa [81]

Answer:

x = -14

Step-by-step explanation:

Step 1: Write equation

4(x + 2) = 3(x - 2)

Step 2: Solve for x

Distribute: 4x + 8 = 3x - 6
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Plug in x to verify it's a solution.

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3 years ago

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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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3 years ago