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3 years ago

Write 5 5/8 as a improper fraction

Mathematics

2 answers:

VikaD [51]3 years ago

6 0

Answer:

45/8

Step-by-step explanation:

recall that for a mixed fraction in the form

A B/C , the improper from of this fraction is expressed as [(A·C) + B] / C

in our case, A=5, B = 5 and C = 8

hence,

[(A·C) + B] / C

= [(5·8) + 5] / 8

= (40 + 5)/8

= 45/8

PIT_PIT [208]3 years ago

4 0

Your answer gonna be 45/8

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Jane had of a meter of ribbon. She used of a meter of ribbon to decorate a card. How much ribbon did she have left after she dec

emmainna [20.7K]

She had none left. if she only had a meter and then used a meter there would be none left.

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2 years ago

Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li

krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

$A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years$

First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

Next, let us calculate the half-life as follows:

$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

Therefore the half-life is between 600 and 700 years

5 0

2 years ago

I need help please ..

koban [17]

A is 18

B is 162

C is 18

D is 162

4 0

3 years ago

Help .....................

seraphim [82]

Answer:

1. 8 is bigger

2. -9 is bigger

3. 12 is bigger

Step-by-step explanation:

4 0

3 years ago

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence?

son4ous [18]

Five consecutive integers are:

n, n+1, n+2, n+3, n+4 the sum of which is:

5n+10=265 subtract 10 from both sides

5n=255, divide both sides by 5

n=51

Our fifth number was n+4 so the fifth number is 55

3 0

3 years ago

Read 2 more answers