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Inessa [10]
1 year ago
9

Which of the following prime factorizations represents the greatest common factor of 162, 378, and 414?

Mathematics
2 answers:
ExtremeBDS [4]1 year ago
6 0

Answer:

2x3^3

Step-by-step explanation:

Helen [10]1 year ago
5 0

Answer:

The greatest common divisor is:

2\times 3^2

Step-by-step explanation:

The greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

162=2×81

     =2\times 3^4

378=2\times 3^3\times 7

and 414=2\times 3^2\times 23

Hence,

The greatest common divisor is:

2\times 3^2

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I am choosing shapes out of a bag. The ratio of blue shapes to red shapes are 2:1. For the blue shapes, the ratio of spheres to
Allisa [31]

Answer:

18

Step-by-step explanation:

as there are 12 red spheres there are 12*4 red cubes (48) add them ,60.Then 60/2 to find blue shapes ,30, then add the 2 and 3 to make 5 after that do 30/5 = 6 then multiply by 3

8 0
1 year ago
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

5 0
2 years ago
Read 2 more answers
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4
german

Answer:

range is  between 55.5 to 64.5

Step-by-step explanation:

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches

68% is 1 standard deviation from mean

To get the range of 1 standard deviation we add and subtract standard deviation from mean

mean = 60

standard deviation = 4.5

60 - 4.5= 55.5

60+4.5 = 64.5

1 standard deviation is between 55.5 to 64.5

That is 68% range is  between 55.5 to 64.5

8 0
2 years ago
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
Anon25 [30]

Answer:

y=7600(5^(t/22))

Step-by-step explanation:

This is going to be an exponential function as it grows rapidly.

This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.

x=t/22

a=7600

r=5

∴y=7600(5^(t/22))

5 0
1 year ago
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.
svp [43]
2,070mg 86%
— = —
? mg 100%

Cross multiply (2,070 X 100) which equals 207,000

Then divide 207,000 by 86 which equals
2,406.976

Then you round so you get 2,407


The Answer is 2,407 milligrams
5 0
1 year ago
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