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telo118 [61]
3 years ago
10

Derick studied 13 1/2 hours this week for a spelling bee. Write the number of hours as a decimal.

Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

13.5

Step-by-step explanation:

When you convert fraction numbers to decimal numbers, remember they are written like this:

whole . parts

In 13 1/2, you have 13 wholes and 1/2 parts. The decimal number would look like 13 . parts

To find the decimal for 1/2, put into your calculator <u>1 ÷ 2</u>. The answer will be 0.5 Write "5" for parts. The decimal where 0.5 is will line up with the decimal in the decimal number.

13.5

Derek studied 13.5 hours for the spelling bee.

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Serjik [45]

Answer:

The answer is -8

Step-by-step explanation:

First, add 8 to both sides to separate the 3r from the rest of the terms. Now you have 3r = -24. Divide both sides by 3, and now you have r = -8

4 0
3 years ago
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A hypothesis test is performed to determine if the proportion of all six packs of seltzers sold in a particular grocery store ne
slava [35]

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Step-by-step explanation:

8 0
3 years ago
(3x+13)^1/2-5=x. check for extraneous soultions
kondor19780726 [428]
Both of the solutions, x = {-4, -3}, are viable. There are no extraneous solutions.


_____
An extraneous solution would show up as the x-intercept associated with the missing branch of the square root function. Since both solutions are on the positive-square-root branch, they are both good solutions to the equation.

For graphing purposes, we have subtracted x to get
   f(x) = √(3x+13) -5 -x
and we are looking for solutions to f(x)=0.


If you add 5 and square both sides, you get the quadratic equation
   3x +13 = (x +5)²
   x² +7x +12 = 0
   (x +3)(x +4) = 0
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4 0
4 years ago
A system has two components: A and B. The operating times until failure of the two components are independent and exponentially
LuckyWell [14K]

Answer:

E(x) = \frac{1}{2} -- Component A

E(x) = \frac{1}{3} -- Component B

Step-by-step explanation:

Given

Distribution = Exponential

\lambda = 2 --- Component A

\lambda = 3 --- Component B

Solving (a): The mean time of A

The mean of an exponential distribution is:

E(x) = \frac{1}{\lambda}

We have:

\lambda = 2 --- Component A

E(x) = \frac{1}{2}

Solving (b): The mean time of B

The mean of an exponential distribution is:

E(x) = \frac{1}{\lambda}

We have:

\lambda = 3 --- Component B

E(x) = \frac{1}{3}

4 0
4 years ago
There are 2.54 centimeters in every inch. If a bug moves at a rate of 3.5 inches per second, then Which of the following is clos
Kitty [74]

Answer: 0.08 m/s

Step-by-step explanation:

We are told the bug moves at a rate of:

3.5 \frac{in}{s}

And we have to convert this to units of \frac{m}{s}, knowing 1 in=2.54 cm and 1 m=100 cm:

3.5 \frac{in}{s}. \frac{2.54 cm}{1 in}. \frac{1 m}{100 cm}=0.088 \frac{m}{s}

4 0
3 years ago
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