MATHEMATICS COLLEGE

What is the simplified expression

Answers

Answer 1

Answer:

Answer:

D) -4x-1

Step-by-step explanation:

-1(2x+3)-2(x-1)

-2x-3-2x+2

-4x-1

Therefore D is correct

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A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.

Answers

Answer:

Please refer to the graph in the attached area.

Step-by-step explanation:

Given:

Total money available with the customer is $10.

Cost of each hotdog is $2.

Cost of each drink is is $2.50.

To find:

The graph of inequality.

Solution:

Let number of hotdogs bought = $x$

Total cost of hotdogs = $2x$

Let number of drinks bought = $y$

Total cost of drinks = $2.5y$

Total cost = $2x+2.5y$

And total money available is $10.

So, the total cost calculated above must be lesser than or equal to $10.

Hence, the inequality is:

$2x+2.5y<10$

Also there will be two conditions on variables $x$ and $y$ :

$x\ge0\ny\ge0$

To graph this, let us find the points on the equivalent equation:

$2x+2.5y = 10$

Finding two points on the equation.

First put x = 0 $\Rightarrow$ y = 4

Then put y = 0, $\Rightarrow$ x = 5

So, two points are (0, 4) and (5, 0).

Now, plotting the line.

Having point (1,2) in the inequality:

2 + 5 < 10 (True) hence, the graph of inequality will contain the point (1,2)

Please refer to the graph of inequality in the attached graph.

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?

Answers

The necklaces cost $3 each

Find the six rational numbers between -4 and 5/4

Answers

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10

The speed of light travels at a rate of approximately 3.0 * 10^8 meters per second. How far, in meters, does light travel in 10^5 seconds?

Answers

Answer:

Step-by-step explanation:

There is a few ways to go about doing this problem. I am going to setup a function.

x = seconds

f(x) = distance = How far

f(x) = (3.0* 10^8) x

Insert 10^5 where x is located

(3.0* 10^8) x

Multiply

(3.0* 10^8) (10^5)

Do the math

(3.0* 10^8) (10^5) = 3 * 10^13

Open US_Crime-HW7 data. Test if West Virginia’s vehicle thefts are lower than Nebraska’s vehicle thefts on average. Answer questions 10 to 13. (Pick the closest answer)10. What test did you perform? (4 points)a. Regressionb. Two sided t-testc. One sided t-test