All categories

2 years ago

Factor the expression: 14x + 21y – 7z

Mathematics

2 answers:

lozanna [386]2 years ago

7 0

Answer:

7 ( 2x + 3y - z)

Step-by-step explanation:

To factor this expression, you need to find the GCF, which is 7.

7 ( 2x + 3y - z)

evablogger [386]2 years ago

3 0

Answer:

7(2x+3y-z)

Step-by-step explanation:

You have to factor by graphing !

You might be interested in

Trey drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Trey drove

USPshnik [31]

Question was Incomplete;Complete question is given below;

Trey drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Trey drove home, there was no traffic and the trip only took 8 hours. If his average rate was 20miles per hour faster on the trip home, how far away does Trey live from the mountains?

Do not do any rounding.

Answer:

Trey lives 480 miles from the mountain.

Step-by-step explanation:

Given:

Time taken to drove the mountain =12 hours

Time taken to return back from mountain = 8 hours.

Let the speed at which he drove to mountain be denoted by 's'.

Speed on the trip to home = $s+20$

We need to find the distance Trey live from the mountains.

Solution:

Let the distance be denoted by 'd'.

Now we know that;

Distance is equal to speed times Time.

framing in equation form we get;

distance from home to mountain $d=12s$

Also distance from mountain to home $d = (s+20)8=8s+160$

Now distance is same for both the trips;

so we can say that;

$12s=8s+160$

Combining the like terms we get;

$12s-8s=160\\\\4s=160$

Dividing both side by 4 we get;

$\frac{4s}{4}=\frac{160}{4}\\\\s=40\ mph$

Speed while trip to mountain = 40 mph

Speed while trip to home = $s+20=420+20=60\ mph$

So Distance $d=12s=12\times40 = 480\ miles$

Hence Trey lives 480 miles from the mountain.

6 0

2 years ago

Over the course of a year, a company goes from 115 employees to 124 employees.

just olya [345]

An equation that could be used to find the percent change, p, in the number of employees is:

$\begin{array}{l}{p=\frac{\text {change in number of employees}}{\text {previous count}} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$

<h3><u>Solution:</u></h3>

Given that, Over the course of a year, a company goes from 115 employees to 124 employees.

Given that "p" represents the percent change

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

$\text { Percent change "p" }=\frac{\text { change in number of employees }}{\text { previous count }} \times 100$

Change in number of employees = present count – previous count

So, change in number of employees = 124 – 115 = 9

$\begin{array}{l}{p=\frac{9}{115} \times 100} \\\\ {p=\frac{9}{23} \times 20} \\\\ {p=\frac{180}{23}=7.82}\end{array}$

The equation that is used to find the percent change is:

$\begin{array}{l}{\mathrm{p}=\frac{\text { change in number of employees }}{\text { previous count }} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}$