What of the following mathematical statements fits the sentence: w decreased by 5?

Socket set for $36.00 with 40% off plus 8.25 % sales tax. How much do I owe?

OlgaM077 [116]

whatever% of anything is just (whatever/100) * anything.

so the socket set has a 40% off, what is 40% of 36? well, is just (40/100) * 36, or 14.4, that's the discount, so the sale price is 36 - 14.4, or 21.6.

plus the 8.25% taxation, what is 8.25% of 21.6? well, is just (8.25/100) * 21.6, or 1.782.

so the total price is 21.6 + 1.782, or 23.382, or about 23 bucks and 38 cents.

3 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST

Levart [38]

Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

2·x + y = 3...(1)

x = 2·y - 1...(2)

The above system of equations can be written in terms of the variable, y, as follows;

For equation (1), we have;

y = 3 - 2·x

For equation (2), we have;

y = (x + 1)/2

From the attached graph created with Microsoft Excel, we have;

The solution set (the point of intersection) of the system of equations is x = 1, y = 1

To accurately find the common solution, we have;

(x + 1)/2 = 3 - 2·x

x + 1 = 2·(3 - 2·x) = 6 - 4·x

x + 1 = 6 - 4·x

x + 4·x = 6 - 1

5·x = 5

x = 5/5 = 1

x = 1

Therefore, y = 3 - 2·x = 3 - 2× 1 = 1, at the common solution

Part 2:

y = -2x + 3

x - 2y = -1

∴ x = 2y -1

y = -2(2y -1) + 3

y = -4y + 2 + 3

5y = 5

y = 1

x = 2y - 1 = 2 - 1 = 1

x = 1

The solution set is x = 1, y = 1

Part 3

The system of equations are similar in terms of their solution

The system of equations are different in terms of their arrangement

6 0

2 years ago

Evaluate the expression for the given values. p + q when p = 15 and q = 12

SSSSS [86.1K]

Substitute 15 for p and 12 for q in p + q. We get 15 + 12, or 27.

3 0

3 years ago

Let S denote the plane region bounded by the following curves:

oee [108]

The volume of the solid of revolution is approximately 37439.394 cubic units.

<h3>How to find the solid of revolution enclosed by two functions</h3>

Let be $f(x) = e^{\frac{x}{6} }$ and $g(x) = e^{\frac{35}{6} }$ , whose points of intersection are $(x_{1},y_{1}) =(0,1)$ , $(x_{2}, y_{2}) = (35, e^{35/6})$ , respectively. The formula for the solid of revolution generated about the y-axis is: