Simple 8th grade maths (check attachments below)<br> trollers will get reported

The following system has a solution: x=10, y=-3, z=14

wolverine [178]

<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether $x=10, \ y=-3, \ z=14$ is the solution to this system, that is, the ordered triple $P(x,y,z)$ where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

$First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation$

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the $x=10, \ y=-3, \ z=14$ is not the solution to the system of equations.

5 0

3 years ago

Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic

Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = $137*67013$

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = $25 * 71332$

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = $9180781+1783300$

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = $137 + 25 = 162$

So, the average salary of employee across the company = $\frac{10964081}{162}$

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0

3 years ago

Read 2 more answers

What does it mean when there are variables on top of each other in parentheses in statistics?

Ilya [14]

It's a combination:
$\left( {{n} \atop {k}}\right)\equiv C(n,k)=\dfrac{n!}{(n-k)!k!}$

4 0

3 years ago

Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coin

mixas84 [53]

The third option makes the most sense because 2 times what ted would be 2x plus 8 more. 2x+8

3 0

2 years ago

Read 2 more answers

Coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers co

andrey2020 [161]

Answer:

The average temperature of coffee in the sample, which is 70.2.

Step-by-step explanation:

The population is all the costumers. The company has determined that they want the average coffee temperature to be 65 degrees C. So, 65 degrees C is the average of the population.

The sample is the 20 orders. The mean $\mu$ of the sample is 70.2C(That is, the mean of the 20 orders0. So, the correct answer is:

The average temperature of coffee in the sample, which is 70.2.

3 0

3 years ago

Simple 8th grade maths (check attachments below) trollers will get reported