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Dvinal [7]
3 years ago
9

What is the gcf of 8 and 16

Mathematics
2 answers:
Gennadij [26K]3 years ago
5 0

to get GCF find what divide into both numbers

             

        2  |   8     16

        4   |   4      8

                 1       2


now multiply the numbers on the side 2 x 4  = 8 that's the GCF

Ierofanga [76]3 years ago
5 0

Answer:

8

Step-by-step explanation:

8 is the largest number that will go into 8 and 16 without a remainder.  Thus, the GCF is 8.  

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A countries population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 Using the exponentia
netineya [11]

Answer:

224 million

Step-by-step explanation:

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6 0
3 years ago
Javien purchases a video game for $19. The store charges him 8% sales tax on the purchase. How much will the store charge for th
allochka39001 [22]

Answer:

$20.52

Step-by-step explanation:

19x0.08 (that's 8% or 8/100) = $1.52

$19+$1.52= $20.52 :)

6 0
3 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0
2 years ago
At the city museum, child admission is $5.20 and adult admission is $8.90 . on friday, 159 tickets were sold for a total sales o
Zinaida [17]
Total tickets sold = 159
Total sales = $1100.60
Child admission = $5.20
Adult admission = $8.90

Assumed all 159 tickets are Child admission tickets
Total sales = 159 x 5.2 = $826.80

Difference in amount = $1100.60 - $826.80 = $273.80
The difference must be contributed by the Adult Admission Tickets, which has a difference of $8.90 - $5.20 = $3.70

$273.80 ÷ $3.70 = 74 adult tickets

159 - 74 = 85 child tickets



5 0
3 years ago
The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is t
kykrilka [37]

The distance between park station 1 and the point where the flare was set off is 73.9 km.

<h3>What is distance?</h3>

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

  • a/sinA = b/sinB....................... Equation 1

Where:

  • a = Distance between park station 1 and the point where the flare was set off.

Make a the subject of the equation

  • a = bsinA/sinB............ Equation 2

From the diagram,

Given:

  • A = 59°
  • B = (180-59-75) = 46°
  • b = 6.2 km

Substitute these values into equation 2

  • a = 6.2(sin59°)/(sin46°)
  • a = 73.9 km

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

Learn more about distance here: brainly.com/question/17273444

#SPJ1

5 0
2 years ago
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