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Natasha_Volkova [10]
3 years ago
8

½ is the same as 0.5 and the ratio of _____.

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0
1:2

Similar to the 1/2 fraction, 1:2 is a simplified ratio of a half.
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Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.
qwelly [4]

Answer:

\boxed{x=1}

Step-by-step explanation:

2(10-2x) = 4(3x + 1)

\sf Expand \ brackets.

20 - 4x = 12x + 4

\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.

20 - 4x - 12x - 20 = 12x + 4 - 12x - 20

-16x = -16

\sf Divide \ both \ sides \ by \ -16.

\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}

x=1

4 0
3 years ago
Read 2 more answers
6.) Alan, Becky, Jesus, and Mariah are four students in the chess club. If two of these students will be selected to represent t
Artist 52 [7]

Let's begin by listing out the information given to us:

There are four students: n = 4

Number of students to be selected: r = 2

To calculate the combination of 2 students to be chosen, we use:

\begin{gathered} ^4C_2=\frac{n!}{(n-r)!}=\frac{4!}{(4-2)!}=\frac{4!}{2!} \\ ^4C_2=\frac{4\cdot3\cdot2\cdot1}{2\cdot1}=\frac{4\cdot3}{1}=12 \\ ^4C_2=12 \end{gathered}

Therefore, there 12 possible combinations from these

3 0
1 year ago
A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
Please help my sister needs to turn this in soon
alexandr402 [8]

Answer:

11,059

Step-by-step explanation:

If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.

7 0
2 years ago
Read 2 more answers
Which expression can be used to solve 3/5 divide by 7/10
kramer

Answer:

\frac{3}{5} *\frac{10}{7}  

=  \frac{30}{35} =\frac{6}{7}

7 0
3 years ago
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