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Travka [436]
3 years ago
10

24 is 15% of what number

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
7 0

Answer:

160

Step-by-step explanation:

Is means equals and of means multiply

24 = 15% * N  where N is the unknown number

Change to decimal form

24 = .15 N

Divide each side by .15

24/.15 = .15N/.15

160 = N

Nimfa-mama [501]3 years ago
4 0

Answer:

160 because 15% of 160 is 24 meaning 24 is 15% of 160

Step-by-step explanation:

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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
You took one-third of an hour to walk home. How many minutes did you walk?
miskamm [114]

Answer:

20 minutes

Step-by-step explanation:

60÷3=20

Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins

6 0
2 years ago
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Solve the equation 3b1b-8=4​
joja [24]

Answer:

b = 2

Step-by-step explanation:

3b1b-8 = 4

       +8  +8

3b1b = 12

3b^2 = 12

/3          /3

b^2 = 4

\sqrt{b^2}   \sqrt{4}

b = 2

6 0
3 years ago
1) Order this list from smallest to largest. 0.3 15% 2 1/2​
ella [17]
I think maybe 0.3 then 2 1/2 and then 15
8 0
2 years ago
Solve the system of equations algebraically. Verify your
xz_007 [3.2K]

Answer:

The solution is the point (0.5,-3)

Step-by-step explanation:

we have

y=4x-5 ----> equation A

y=-3 ----> equation B

Solve the system by substitution

Substitute equation B in equation A

-3=4x-5

Solve for x

Adds 5 both sides

-3+5=4x

2=4x

Divide by 4 both sides

x=0.5

therefore

The solution is the point (0.5,-3)

<em>Verify your  answer using the graph</em>

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure

8 0
3 years ago
Read 2 more answers
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