Factor 60x−8460x−84 using the GCF.

BIG POINT FOR WHOEVER HELPS ME! PLEASE!!!!!Simplify and determine the coefficient of (-2/3X)(3Y).-X)

rewona [7]

You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.

6 0

2 years ago

What is the 32nd term of 311, 305, 299

nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

$a_n = a_1 + (n - 1)d$

To find $d$ (the common difference) we can simply subtract one of the terms by the last, for example:

$d = 299 - 305 \\d = -6 \\$

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

$d = 305 - 311\\d = -6$

We also have to know that $a_1$ stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

$a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503$

Good luck!

4 0

2 years ago

Read 2 more answers

Simplify. 8 · 3 · x 13x 24x 22x 48x

Elina [12.6K]

$8\cdot3\cdot x=(8\cdot3)x=24x$

7 0

2 years ago

The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each

pogonyaev

One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.

5 0

3 years ago

The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an

ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 20, \sigma = 2$