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ikadub [295]
3 years ago
13

Find the GCF of 72 and 96

Mathematics
2 answers:
nasty-shy [4]3 years ago
5 0

Answer:

24

Step-by-step explanation:

72÷2=36÷2=18÷2=9÷3= 3

96÷2=48÷2=24÷2= 12÷2=6÷2= 3

72=2×2×2×3×3

96=2×2×2×2×2×3

<u>3</u>×<u>2</u>×<u>2</u>×<u>2</u>=24

Llana [10]3 years ago
4 0

Answer: 24

Step-by-step explanation:

Find the prime factorization of 72 which is :

72 = 2 × 2 × 2 × 3 × 3

Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 3

GCF = 24

* Hopefully this helps:) And answers your question:)!!

Mark me the brainliest:)!!!

<em>~234483279c20~</em>

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What is the range of the function f(x) = -|X - 4| + 5?
Law Incorporation [45]

Answer:

Range = (-<em>∞, 5</em>)

Step-by-step explanation:

This is the absolute value function with transformation.

The parent function is f(x) = |x|

This function has a "negative" in front, so it makes it reflect about x axis

The -4 after x makes horizontal translation of 4 units right

the +5 at the end makes the function translate 5 units UP

<em>The graph is shown in the attached picture.</em>

<em>Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the </em><em>range is  -infinity to 5</em>

<em />

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3 0
3 years ago
Three listening stations located at (3300, 0), (3300, 1100), and (-3300, 0) monitor an explosion. The last two stations detect t
erastovalidia [21]

Answer:

The coordinates of the explosion is (3300, -2750)

Step-by-step explanation:

I have plot the points and attached to thus answer for easy understanding.

Now, from the question, since station A is the first to hear the explosion, we'll make it the foci of the parabola in the graph I attached and it will be horizontal since the distance between station C and A is much more than that between station B and A. Thus, the reason why station C will have to be the other foci with the hyperbola centred at the origin.

Now, sound travels at a speed of 1100 ft/s and station B is located 1100 ft from station A. Thus, the explosion would likely have occurred at a point on the line x = 3300ft . Since station A is 3300ft from centre C = 3300,hence C² = 3300² = 10,890,000. Since it takes 4 seconds longer for the sound to reach station C than A, the sound has traveled 4(1100)= 4400 ft.

Thus, 4400 = d1 = d2 = 2a

So,2a = 4400 and so, a =2200

a² = 2200² = 4,840,000 where d1 is the distance from station C to the explosion and d2 is the distance from station A to the explosion. To find b², let's use the equation ;

c² = a² + b² and so; b² = c² - a² = 10,890,000 - 4,840,000 = 6,050,000

Equation of hyperbola is given as;

(x²/a²) - (y²/b²) = 1

Plugging in the values of a² and b², we obtain ;

(x²/4,840,000) - (y²/6,050,000) = 1

Since we have deduced that the explosion must occur on the line x= 3300, we'll put in 3300 for x to obtain ;

(3300²/4,840,000) - (y²/6,050,000) = 1

2.25 - 1 = (y²/6,050,000)

y² = (1.25 x 6,050,000)

y² = 7562500

y = √7562500

y = ± 2750

Due to the fact that the explosion will occur at a point further from station B than from station A, the explosion will take place in quadrant 4. Thus, we will take the negative value of y which is - 2750.

So explosion will occur at the coordinate (3300, -2750)

7 0
3 years ago
the student council has 36 membersthe ratio of girls to boys is 5 to 4 how many student council members are girls?
kap26 [50]
Ratio of girls : boys = 5 : 4

<u>Find total parts:</u>
Total parts = 5 + 4 = 9

<u>Find 1 part:</u>
9 parts = 36
1 part = 36 ÷ 9 = 4

<u>Find 5 parts (Girls):</u>
Girls = 5 parts = 4 x 5 = 20

Answer: There are 20 girls.
8 0
3 years ago
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