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2 years ago

2/3g + 1/2g = 14 multi step equations, i need help knowing the steps

1 answer:

8 0

Find the common denominator

It is 6

Multiply everything by 6

2/3*(6)= 4g

1/2 *(6)= 3g

14*(6)= 84

4g +3g = 84

7g= 84

g= 12

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Which equation represents the graphed function?

nexus9112 [7]

Answer:

y =1/3 –x + 3

Step-by-step explanation:

8 0

2 years ago

A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents t

PolarNik [594]

Answer:

The tank must remain intact for 1183 years.

Step-by-step explanation:

Exponential equation for decay:

The amount of a substance after t years is given by:

$A(t) = A(0)e^{rt}$

In which A(0) is the initial amount and r is the decay rate.

A storage tank contains a liquid radioactive element with a half-life of 96 years.

This means that $A(96) = 0.5A(0)$ , and we use this to find r.

$A(t) = A(0)e^{rt}$

$0.5A(0) = A(0)e^{96r}$

$e^{96r} = 0.5$

$\ln{e^{96r}} = \ln{0.5}$

$96r = \ln{0.5}$

$r = \frac{\ln{0.5}}{96}$

$r = -0.0072$

$A(t) = A(0)e^{-0.0072t}$

It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?

This is t for which $A(t) = 0.0002A(0)$ . So

$A(t) = A(0)e^{-0.0072t}$

$0.0002A(0) = A(0)e^{-0.0072t}$

$e^{-0.0072t} = 0.0002$

$\ln{e^{-0.0072t}} = \ln{0.0002}$

$-0.0072t = \ln{0.0002}$

$t = -\frac{\ln{0.0002}}{0.0072}$

$t = 1183$

The tank must remain intact for 1183 years.

5 0

2 years ago

Jamal bought donuts and cupcakes. He bought three times as many donuts as cupcakes. Donuts cost $0.50 each. Cupcakes cost $1.00

jolli1 [7]

Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

4 0

2 years ago

The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, P, a certain interest rate,

Whitepunk [10]

Answer:

r equals start fraction cap a minus p over p t end fraction

Step-by-step explanation:

Subtract the term non containing r, then divide by the coefficient of r.

$A=p+prt\\\\A-p=prt\\\\\dfrac{A-p}{pt}=r$

4 0

2 years ago

What is 0.0004 in its standard form ?

OlgaM077 [116]

0.4x10^-3
Adding random characters here.

3 0

2 years ago

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