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-Dominant- [34]
3 years ago
10

Which expression is equivalent to 27 + 45? 8(3 + 6) 8(19 + 37) 9(3 + 5) 9(18 + 36)

Mathematics
2 answers:
Sladkaya [172]3 years ago
4 0
9(3+5) is equivalent because factoring a 9 out of both 27 and 45 leaves us with 9(3+5).
dlinn [17]3 years ago
3 0
It may be easier to just do the work until you find a result equal to 27+45.
You must do the work inside parentheses first:

8(3+6) = 8(9) = 72  It just happens that this is equal to 72.

8(19+37) = 8(56)    This is much greater than 72 and is not the correct answer.

And so on.
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During 4 days, the price of the stock of PEV Corporation went up 1/4 of a point, down 1/3 of a point, down 3/4 of a point, and u
HACTEHA [7]

The price of the stock of PEV Corporation varies as shown. we have to determine the net charge. Net change is just how much it changed overall, so we will look for all the ups minus all the downs.  

Here, "went up" goes with a + sign, and "went down" goes with a - sign.

So, Net charge = \frac{1}{4} - \frac{1}{3}-\frac{3}{4} + \frac{7}{10}

= \frac{1}{4}-\frac{3}{4}- \frac{1}{3} + \frac{7}{10}

= -\frac{2}{4}- \frac{1}{3} + \frac{7}{10}

= -\frac{1}{2}- \frac{1}{3} + \frac{7}{10}

LCM of 2,3 and 10 is 30

= \frac{-15-10+21}{30}

= \frac{-4}{30}

= \frac{-2}{15}

So, the net charge is \frac{-2}{15}

8 0
2 years ago
Solve 2m + 4m - 3m squared
Vitek1552 [10]

Answer:

3m^2

Step-by-step explanation:

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4 0
3 years ago
How do you solve this equation -5=u+6
Naily [24]

Answer:

Step-by-step explanation:

u+6 = - 5               Subtract 6

u + 6 - 6 = - 5 - 6

u = - 11

Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?

The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.

8 0
2 years ago
Read 2 more answers
Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could h
Olenka [21]
Since the rate of the other store is not given, let us just get the sales price of the skirt Dima bought from the discount store.

Original price : $54
Discount rate : 30%

$54 x 30% = $16.20 value of the discount
$54 - 16.20 = $37.80 discounted price.

Since Dima's friend told her she could have had a better deal at a different store, this means that the discount rate is higher than 30%. Let us assume that the discount is 35%

$54 x 35%  = $18.90 value of the discount
$54 - 18.90 = $35.10 discounted price.

Discount store: $37.80
Different store: $35.10

Different store sales price is cheaper by $2.70
8 0
2 years ago
Read 2 more answers
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6
dimaraw [331]

Answer:

The confidence interval is  13.4<  \mu < 13.8

Step-by-step explanation:

From the question we are told that

   The sample  mean is \= x  =  13.6

     The standard deviation is \sigma =  1.9

     The sample  size is  n  =  189

given that the confidence level is  85% then the level of significance is mathematically represented as

            \alpha = (100 - 85 )\%

            \alpha  =  0.15

Next we obtain the critical value  of \frac{\alpha }{2} from the normal distribution table  the value  is  

      Z_{\frac{\alpha }{2} } =  1.44

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>     E = 1.44*  \frac{1.9}{\sqrt{189} }

=>     E = 0.1990

The  85%  confidence interval is mathematically represented as  

        \= x  - E <  \mu

=>      13.6- 0.1990 <  \mu <  13.6+ 0.1990

=>      13.4<  \mu < 13.8

           

5 0
3 years ago
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