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2 years ago

Find the GCF of 18xy and 32xyz

Mathematics

1 answer:

Tanzania [10]2 years ago

4 0

<h3>Answer:</h3>

2xy

<h3>Step-by-step explanation:</h3>

GCF stands for the greatest common factor.

Finding All Factors

To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.

The factors of 18 include: 1, 2, 3, 6, 9 and 18

The factors of 32 include: 1, 2, 4, 8, 16, and 32

Next, lay out the variables that are factors.

The variables of 18xy are x and y.
The variables of 32xyz are x, y, and z.

Remember that variables count as factors

Greatest Common Factor

Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.

In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.

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Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

nadezda [96]

Answer:

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

4 0

3 years ago

Read 2 more answers

12x=3/2 what does x=

xz_007 [3.2K]

<h2>>> Answer </h2>

_________

$\:$

$12x = \frac{3}{2}$

$x = \frac{3}{2} \times \frac{1}{12}$

$x = \frac{3}{24}$

$x = \bold{ \frac{1}{8}}$

5 0

2 years ago

Read 2 more answers

An animal reserve has 20,000 elk. The population is increasing at a rate of 8% per year. This can be modeled by the function P(t

Scorpion4ik [409]

Answer:

The answer would be 31,737 elks.

Step-by-step explanation:

You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.

I hope this helps

8 0

2 years ago

How many 13s are in 223?

Masja [62]

Answer: There are 17 times 13 in 223. The answer you divide 223 by 13 which would get you 17.153846153846.

Step-by-step explanation:

4 0

3 years ago

Use the raw data below to create a table that can be used to create a histogram with 5

schepotkina [342]

Answer:

Five classes

Step-by-step explanation:

1. Sort the data

You get

1.1, 1.3, 1.6, 1.7, 2, 2.6, 2.7, 2.9, 3.2, 3.2, 3.5, 3.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9, 4.9, 5.3, 5.7, 6.4, 6.5, 7.1, 7.5, 7.6, 8.1, 8.2, 9.2, 9.4

2. Calculate the range

Range = Max - Min = 9.4 - 1.1 = 8.3

3. Calculate the class width

Divide the range by the number of classes

8.3/5 = 1.7

Round this up to 2.

4. Decide where to start the histogram

You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11

However, even numbers are easier to read.

It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10

5. Prepare a frequency distribution table

Note: Each class does not include its largest possible value. Thus, a value of 2 goes into Class 2 - 4, (not Class 0 - 2).

$\begin{array}{cc}\textbf{Miles run} & \textbf{No. of students} \\0 - 2 & 4 \\2 - 4 & 9 \\4 - 6 & 8 \\6 - 8 & 5 \\8 - 10 & 4 \\\end{array}$

4 0

3 years ago