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4 years ago

What are the common factors of 18 and 30? What do they represent?

1 answer:

5 0

Factor out 18.

The factors for 18 are as listed:

1, 2, 3, 6, 9, 18

Now factor out 30.

The factors for 30 are as listed:

1, 2, 3, 5, 6, 10, 15, 30

Now look at the factors that are both factors for 18 and 30.

So, the common factors are 2, 3, and 6.

You might be interested in

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions

Bingel [31]

These are three equations and three answers.

Answers:

A) infinite solutions, identity
B) one solution, x = 27, neither contradiction nor identiy
C) x = no solutions, contradiction

Explanation:

Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:

1. Combine like terms on right side:

20 - 4x = 20 - 4x

2. Use addition property of equality (add 4x on each side).

20 = 20 ↔ identity

Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.

Equation B: 5x + 4x - 3 = 24 + 8x (note that I placed the equal sign as it was missing)

1. Combine like terms on each side:

9x - 3 = 24 + 8x

2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)

Conclusion: the solution is x = 27.

Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)

1. Comitne like terms on the right side:

5x + 6 = 5x - 9

2. Subtraction property of equality (subtract 5x from each side)

6 = - 9 ↔ contradiction

Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).

For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

6 0

4 years ago

Read 2 more answers

1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups

kifflom [539]

1.D
2.C
3.B
If you need to know the amount let me know.

4 0

3 years ago

If you help me just explain it to me

love history [14]

Answer:

Step-by-step explanation:

lets find median 2, 4, 4, 5, 6, 8, 9, 10, 10, 13, 17

now lets find the lower quartile median and upper quartile median

we don't include the median in the count, only use it to divide the data into the two parts,

2, 4, 4, 5, 6, 8, 9, 10, 10, 13, 17

so lower quartile median is 4,

2, 4, 4, 5, 6, 8, 9, 10, 10, 13, 17

while upper quartile median is 10

the box represents the range between the upper quartile median and lower quartile median, thus is should go from 4 to 10 with the middle line, representing the median at 8,

the whiskers represent the whole data range

thus, the answer is C

6 0

3 years ago

Solve 3x^2 6x=12 by quadratic formula

kari74 [83]

That would be x=0.87358

4 0

4 years ago

Explain how to perform a two-sample z-test for the difference between two population means using independent samples with known

iren2701 [21]

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

5 0

3 years ago