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gulaghasi [49]
3 years ago
12

A work shift for an employee at a restaurant consists of 8 hours. What fraction of the​ employee's work shift is represented by

6 ​hours? ​(Simplify your​ answer.)
Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

6 hours represents \frac{3}{4} of the 8-h work shift.

Step-by-step explanation:

The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:

x = \frac{6\,h}{8\,h}

x = \frac{6}{8}

x = \frac{3}{4}

6 hours represents \frac{3}{4} of the 8-h work shift.

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Given: x+2y=-6. Solve for y. y=x-6/2
Snowcat [4.5K]
x+2y=-6\\\\2y=-6-x\quad|:2\\\\y=\dfrac{-6-x}{2}\\\\\\\boxed{y=-3-\frac{x}{2}}
5 0
3 years ago
The length of a rectangle is 2/5 its width and the perimeter is 280 inches, what are the length and width of the rectangle?
bogdanovich [222]
If the length is 2/5, or .40, then:

280/.40= 700

Check my answer:

.40*700= 280

The length is .40 (or 2/5) the width is 700.

I hope this helped!
6 0
3 years ago
1-Describe the error in the way the calculation of the slope of the two points is set up and/or solved. Please be specific. Do n
Bad White [126]

Answer:

Please check explanations for answer

Step-by-step explanation:

Let’s have two points (5,10) and (15,20)

1. Let’s find the slope of these two points

Mathematically, the slope can be calculated using the formula;

m = (y2-y1)/(x1-x2)

So m = (20-10)/(5-15) = 10/-10 = -1

The error here is the formula used in calculating the slope

The formula should be;

m = (y2-y1)/(x2-x1) and not x1-x2

2. To calculate the slope correctly, we have;

m = (y2-y1)/(x2-x1)

So the slope will be;

m = (20-10)/(15-5) = 10/10 = 1

In the point slope form, the equation can be represented as;

y-y1 = m(x-x1)

Let’s use the point (5,10)

y- 10 = 1(x-5)

The above is the point slope form

using one of the points and the correct slope of the line

6 0
3 years ago
if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set
konstantin123 [22]
Hello there!

This is a conceptual question about quadratic functions.

Remember that a solution of ANY function is where it intersects the x-axis, so if the quadratic function intersects the x-axis TWO times, this means that there are TWO real solutions.

Here's a list of things to remember that will help you out for quadratic functions...
•if a quadratic function intersects the x-axis twice, it has two real solutions.
•if a quadratic function intersects the x-axis once, it has one real solution and one imaginary solution.
•if a quadratic function intersects the x-axis zero times, it has zero deal solutions and two imaginary solutions.


Please NOTE: If you want to know how many solutions a polynomial function has, look at it's highest exponent. If it is 2, then it has 2 solutions whether they be real or imaginary. If it is 3, then it has 3 solutions.

Also, if one of the factors are the same for a polynomial function, the way it hits the x-axis changes! This is just some extra information to help you in the long run!


I hope this helps!
Best wishes :)
8 0
3 years ago
What is the answer to my question? Please help, this is urgent
Mice21 [21]

Answer: 1733.28 in^2

Step-by-step explanation:

5 0
3 years ago
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