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Elis [28]
3 years ago
6

Which choice shows how to find the greatest common factor of 18 and 72 through prime factorization

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

\begin{array}{c|c}18&2\\9&3\\3&3\\1\end{array}\\\\18=\boxed2\cdot\boxed3\cdot\boxed3\\\\\begin{array}{c|c}72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\72=2\cdot2\cdot\boxed2\cdot\boxed3\cdot\boxed3\\\\GCF(18,\ 72)=\boxed2\cdot\boxed3\cdot\boxed3=\boxed{\boxed{18}}

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Let s be an integer. Alonso claims that -s must always be less than 0. IIiana claims that -s is only sometimes less than 0. Whos
Elis [28]
Iliana is correct since an integer means a whole number that is not a fraction, which includes negative AND positive numbers. If s=4 than -s is negative (-4) But if we plug in a negative integer, like -5, the negative signs are eliminated and it becomes positive, therefore Alonso is wrong (-s=-(-5)=5) If the question was about a natural number Alonso would have been right since natural numbers are only from 0 and above
4 0
3 years ago
In 2001, a company marketed 730,000 units of its product. In 2001 its yearly volume was 50% of its volume for 2004. The 2004 vol
kotykmax [81]

Answer:

4000 units

Step-by-step explanation:

In 2001 the total number of marketed units= 730,000

If this number represents 50% of what was marketed in 2004, then the total number of units marketed in 2004 was:

(100/50)× 730,000=1460000

To get the number for each of the 365 days in 2004 we divide the total for 2004 by 365

1460000/365= 4000 units

6 0
3 years ago
Read 2 more answers
Assessment: Solve Me!
Arte-miy333 [17]

Answer:

1 . option b

2. option d

Step-by-step explanation:

1) Diameter = 8cm

  Radius = 8/2 = 4cm

2) Diameter = 8cm

   Radius = 4cm

   Volume = \frac{1}{3} \pi r^2h = \frac{1}{3} \pi 4^2 \times 15 = 16 \pi \times 5 = 80 \pi =  251.2cm^3  

5 0
3 years ago
A analog clock (with hour and minute hands) is set to 5:00 P.M. After 30 min, what will the measure of the major arc formed by h
VikaD [51]

Answer:

180 degrees

Step-by-step explanation:

Given

Time = 5:00pm

Required

The measure of the major arc, 30 minutes after

First, we calculate the time after 30 minutes

Time = 5:00pm +30\ mins

Time = 5:30pm

At 5:30pm, the hour and the minute hand will be directly opposite each other.

In other words, the hands divide the time into two equal parts (180 degrees each)

At this point, there is no major or minor arc as both sides have the same measurement

<em>Hence, the measure of the arcs is 180 degrees</em>

4 0
3 years ago
Three times a number, increased by 1, is 25
Olegator [25]
The answer is 8. 
8 x 3 = 24
24 + 1 = 25 
Hope I helped :)
6 0
3 years ago
Read 2 more answers
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