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erik [133]
3 years ago
13

For each expression,use a property to write an equivalent expression.Tell which property you used. 10:CD= 11:x+13= 12:4(2x-3)= 1

3:2+(a+b)= 14:Draw algebra time models to prove that 4+8x and 4(2x+1) are equivalent.

Mathematics
1 answer:
stellarik [79]3 years ago
4 0
10.) DC 
community property

11.) 13+x
community property


12.) 8x-12
distributive property

13.)  (2+a)+b


14.) 4(2x+1)= 4+8x

For question 14 you can do 4×2=8x. Then do 4×1=4. It is equal. Just do distributive property for number 14 for 4(2x+1)



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Evaluate u + xy, for u = 20, x = 9, and y = 8
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This is how you work it out:
u + xy
Plug in your numbers that you know:
20 + 9 * 8
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8 0
3 years ago
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What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form​
GuDViN [60]

Answer:

0

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (10-10)/(1-4)

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  =0

7 0
3 years ago
V<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4} * 2
myrzilka [38]

Answer:

1\frac{3}{4}

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

\frac{3}{4} \times2\frac{1}{3}

2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}

\frac{3}{4} \times\frac{7}{3}

3\times7=21

4\times3=12

=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}

=1\frac{3}{4}

Hope this helps.

7 0
2 years ago
in pennsylvania the percent of sales tax is 6%, what is the sales tax on a skateboard that costs $98?
Stells [14]

Answer:

$103.88

Step-by-step explanation:

$98 + 6% is 103.88.

6 0
2 years ago
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
2 years ago
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