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3 years ago

The GCF of 28 and 64 is 2 4 7 8

2 answers:

8 0

The greatest comment factor of 28 and 64 is 4.

The factors of 28 are 28, 14, 7, 4, 2, 1.
The factors of 64 are 64, 32, 16, 8, 4, 2, 1.

The common factors of 28 and 64 are 4, 2.

the greatest one of the two factors is 4.

ad-work [718]3 years ago

3 0

Another way to find GCF is by the euclidean algorithm. Even though the name sounds intimidating, it is probably the easiest method, especially if the numbers are large.

The method consists of calculating the difference of the two given numbers. Then among the two numbers and the difference, repeat with the two smaller numbers until the difference is zero. The smallest surviving number is then the GCF.

As an example for 64 and 28.

64-28=36. Choose the smaller two numbers and repeat

36-28=8 Choose the smaller two numbers and repeat

28-8=20 Choose the smaller two numbers and repeat

20-8=12 Choose the smaller two numbers and repeat

12-8=4 Choose the smaller two numbers and repeat

8-2*4=0 therefore 4 is the GCF.

As a short-cut, when the larger number is much larger than the smaller, we can subtract a multiple of the smaller number. Example again using 64 and 28.

64-28=36

36-28=8

28-3*8=28-24=4

8-2*4=0 Therefore 4 is the GCF of 64 and 28.

As a more adventurous example, let's find the GCF of 3888 and 3774.

3888-3774=114

3774-30*114=354

354-3*114=12

12-8*12=6

12-2*6=0 Therefore 6 is the GCF of 3888 and 3774.

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Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define

sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

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3 years ago

What is the common ratio for this geometric sequence 3,12,48,192,... A 16 B. 3 C. 4 D. 9

hram777 [196]

Answer:

Step-by-step explanation:

The common ratio is found by taking the second term and dividing by the first term

12/3 = 4

We can check by taking the third term and dividing by the second

48/12 = 4

The common ratio is 4

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viktelen [127]

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The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , wher

dimaraw [331]

The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:

dV/dt = -3(V)^1/2
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m here is the initial V which is 225. Then after integrating,

-2/3 (√V - √225) = t
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$V= \sqrt{ \frac{-3}{2}t+15 }$

That is the expression for V at time t. I hope I was able to help. Have a good day.

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3 years ago

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