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sweet-ann [11.9K]
3 years ago
15

Factor the expression. 15n−18

Mathematics
2 answers:
boyakko [2]3 years ago
8 0
Factor <span>15n−18
</span><span>15n−18
</span><span>=<span>3<span>(5n−6<span>)

</span></span></span></span>3<span>(5n−6<span>)

5n-18 factored is </span></span>3<span>(5n−6<span>)</span></span>
seraphim [82]3 years ago
6 0

For this case we have the following expression:

15n-18

We look for the factors of each coefficient.

We have then:

15 = 1,3,5,15\\18 = 1,2,3,6,9,18

Taking the biggest common factor we have:

15n-18 = 3 (5n-6)

Therefore, the factored expression is given by:

3 (5n-6)

Answer:

the factored expression is given by:

3 (5n-6)

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What is the ratio of the two quantities?<br><br> 4 seconds to 2 min
kumpel [21]

Answer:

1 : 30

Step-by-step explanation:

4 seconds : 2 min

however we know that 1 min has 60 seconds. Hence 2 min will have 2 x 60 = 120 seconds

Therefore we can substitute 2 min with 120 seconds

4 seconds : 2 min

4 seconds : 120 seconds  (simplify by dividing both sides by 4)

4/4  : 120/4

1 : 30

6 0
3 years ago
Read 2 more answers
The Sparkle Farm grows both corn and wheat, among other crops. The cost of cultivating an acre of corn and an acre of wheat is $
gogolik [260]

Answer: 119

Step-by-step explanation:

Let the acre of wheat to be cultivated be x.

Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x

The information given can be used to form a equation as:

42(3x) + 30x = 18564

126x + 30x = 18564

156x = 18564

x = 18564/156

x = 119 acres of wheat

4 0
4 years ago
Families USA, a monthly magazine that discusses issues related to health and health costs, survey 19 of its subscribers. It foun
s344n2d4d5 [400]

Answer:

a

   $10,151   <  \mu  $11448.12

b

  n =  158

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  19

    The  sample mean is  \= x  =$10,800

     The  standard deviation is  \sigma  =$1095  

    The  population mean is  \mu  =$225

     

Given that the confidence level is 99%  the level of significance is mathematically represented as

       \alpha  =  100 -99

      \alpha  = 1%

=>    \alpha =  0.01

Now the critical values of \alpha  = Z_{\frac{\alpha }{2} } is obtained from the normal distribution table as

        Z_{\frac{0.01}{2} } =  2.58

The reason we are obtaining values for \frac{\alpha }{2} is because \alpha is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while \frac{\alpha }{2}  is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

Now the margin of error is obtained as

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

substituting values

    MOE  =  2.58*  \frac{1095 }{\sqrt{19} }

     MOE  =  648.12

The  99% confidence interval for the population mean yearly premium is mathematically represented as

    \= x -MOE  <  \mu <  \= x +MOE

substituting values

   10800 -648.12  <  \mu <  10800 + 648.12

    10800 -648.12  <  \mu <  10800 + 648.12

   $10,151   <  \mu  $11448.12

The  largest sample needed is mathematically evaluated as

      n =  [\frac{Z_{\frac{\alpha }{2}    } *  \sigma }{\mu} ]

substituting values

       n =  [    \frac{ 2.58  *  1095}{225} ]^2

      n =  158

6 0
4 years ago
What does the division fact 30 ÷ 5 = 6 mean?
Sholpan [36]
The division fact means that 5 can go into 30 6 times.

hope this helped!!!!
3 0
3 years ago
Por favor nesesito ayuda con la actividad 2 le doy corona y 20 puntos
Aleks [24]

Answer:

-5(x+3) = -5x-15

-5(x+1)+3 = -5x-2

-5(-x-2) = 5x+10

-5x + (x+2) = -4x+2

-5+(x=3) = x-2

3 0
3 years ago
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