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3 years ago

0.6 of it is 30 Find the number

Mathematics

1 answer:

lesya [120]3 years ago

8 0

Answer:

The number is 50.

Step-by-step explanation:

0.6x=30

x=30/0.6

x=50

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Solve in 5 + in 2x = 3

faltersainse [42]

$\ln5+\ln 2x=3\\\\\ln10x=3\\\\e^3=10x\\\\x=\dfrac{e^3}{10}$

3 0

2 years ago

Amy wrote a check for $32 to pay her monthly electricity bill, but when balancing her checkbook, she accidentally recorded it as

ElenaW [278]

Her check register will have a surplus of 64 dollars compared to her actual balance.
example
100 +32 = 132 (incorrect)
100 -32 = 68 (correct)
132 -68 = 64 surplus

7 0

2 years ago

Read 2 more answers

9. Determine how long it takes for 80% of the material to decay.

Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

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

In which:

k is the decay rate, as a decimal.

A(0) is the initial amount.

The half-life is of 8 days, hence $A(8) = 0.5A(0)$ , and this is used to find k.

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

$0.5A(0) = A(0)e^{-8k}$

$e^{-8k} = 0.5$

$\ln{e^{-8k}} = \ln{0.5}$

$-8k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{8}$

$k = 0.08664339757$

Hence:

$A(t) = A(0)e^{-0.08664339757t}$

The time it takes for 80% of the material to decay it t for which $A(t) = 0.2A(0)$ , hence:

$0.2A(0) = A(0)e^{-0.08664339757t}$

$e^{-0.08664339757t} = 0.2$

$\ln{e^{-0.08664339757t}} = \ln{0.2}$

$-0.08664339757t = \ln{0.2}$

$t = -\frac{\ln{0.2}}{0.08664339757}$

$t = 18.6$

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0

2 years ago

A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4°F. The submarine dive

cestrela7 [59]

Answer:

-502.5 - 115 = - 617.5

63 1/4 - 2 1/5 =

63 - 2 = 61

1/4 - 1/5 = 5/20 - 4/20 = 1/20

so 63 1/4 - 2 1/5 = 61 1/20

after the sub dove, elevation level is - 617.5 and temp is 61 1/20 F

4 0

3 years ago

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Evaluate the expression 1^4 + 3(10 - 2)^2. Show your work.

andrey2020 [161]

Answer:

193

Step-by-step explanation:

8 0

2 years ago