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2 years ago

What is 20 over 3 divided into its simplest form?

Mathematics

1 answer:

marin [14]2 years ago

8 0

Answer:

6 2/3

Step-by-step explanation:

3*6=18

20-18=2

6 2/3

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Each problem is worth 10 points each. (For each problem show your work and give a brief explanation of how you solved your probl

maxonik [38]

It’s a big problem it’s deserve 20 points you can’t play people make it fair

5 0

2 years ago

There are 1,657 souvenir paperweights that need to be packed in boxes. Each box will hold 17

blondinia [14]

Answer:

Therefore we can say that 98 boxes will be needed to hold all the paperweights.

Step-by-step explanation:

i) there are 1657 souvenir paperweights that need to be packed in boxes.

ii) each box will hold 17 paperweights

iii) therefore the number of boxes that will be needed are

= $\dfrac{total\hspace{0.15cm} number\hspace{0.15cm} souvenir\hspace{0.15cm} paperweights}{number\hspace{0.15cm} of\hspace{0.15cm} paperweights\hspace{0.15cm} per\hspace{0.15cm} box}$ = $\dfrac{1657}{17}$ = 97.471

iv) Therefore we can say that 98 boxes will be needed to hold all the paperweights.

4 0

3 years ago

Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten

Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

$Q(t) = Q(0)e^{-rt}$

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that $Q(12) = 0.5Q(0)$

$Q(t) = Q(0)e^{-rt}$

$0.5Q(0) = Q(0)e^{-12r}$

$e^{-12r} = 0.5$

$\ln{e^{-12r}} = \ln{0.5}$

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{12}$

$r = 0.05776$

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

$Q(t) = Q(0)e^{-rt}$

$50 = 200e^{-0.05776t}$

$e^{-0.05776t} = 0.25$

$\ln{e^{-0.05776t}} = \ln{0.25}$

$-0.05776t = \ln{0.25}$

$0.05776t = -\ln{0.25}$

$t = -\frac{\ln{0.25}}{0.05776}$

$t = 24$

It would take 24 minutes for the element to decay to 50 grams

6 0

3 years ago

I only need to know question b, if anyone can help

kicyunya [14]

243 liters represents 7/10 - 1/4 of the water.

v=243 / (7/10 - 1/4) = 243 / (14/20-5/20) = 243(20)/9 = 540 liters.

Answer: 540 liters

Check:

(7/10)(540) = 7(54) = 378

(1/4)540 = 135

difference = 378 - 135 = 243 good

5 0

3 years ago

Use the distributive property to show why the product (-6)(-3) is positive .

Alla [95]

Porque menos por menos es más es una regla

Si multiplicas (-6)(-3) La respuesta es 18 es positivo porque se cumple la regla de menos por menos es más

REPASA

MENOS POR MENOS = MÁS

MÁS POR MÁS = MÁS

MAS POR MENOS = MENOS

MENOS POR MAS = MENOS

3 0

2 years ago