Amelia rented a dvd and it was due to be returned on 26 novembershe actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?

Answers

Answer 1
Answer:

Step-by-step explanation:

9p*30days= 45p

45÷100=0.45£

Answer 2
Answer:

The correct answer would be No fine is paid if the DVD is returned by the due date, because the first 0 means it is 0 days overdue, so it is returned on time, and the second 0 means the fine would be $0!!


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Find the slope of the line that passes through the point (0,-3) and (4,5)Slope=?
During a ​5-year ​period, 24​% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the ​5-year period.
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Pls help, and don’t give random answers just so you can have points.
Solve the equation -6+3×=-9

19) Solve the system,
*****
x + 3y - 5
-2x + 2y = 14

Answers

Answer:

y = 3

x = -4

Step-by-step explanation:

Hopefully the first equation is x + 3y = 5

x = 5 - 3y

Plug in:

-2(5 - 3y) + 2y = 14

-10 + 6y + 2y = 14

8y = 24

y = 3

x = -4

Sketch and shade the region in the xy-plane defined by the equation or inequalities. |x| < 7 and |y| < 2

Answers

Answer:

Here we have:

IxI < 7

This also can be written as:

-7 < x < 7

and:

IyI < 2.

As above, we can write this as:

-2 < y < 2.

Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)

Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.

The area would be the area inside that rectangle, where i did not shade it so it is easier to read.

Final answer:

To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, identify the boundaries and sketch the rectangle, shading the region within it.

Explanation:

To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, we first identify the boundaries of the region. The inequalities |x| < 7 and |y| < 2 represent lines parallel to the x-axis and y-axis, respectively. The region is bounded by these lines and lies within the rectangle with vertices (-7, -2), (-7, 2), (7, -2), and (7, 2). We sketch the rectangle and shade the region within it.

Learn more about Sketching and shading region in the xy-plane here:

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A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST TO BEST ANSWER)​

Answers

9514 1404 393

Answer:

  • cos(x) = a/c
  • sin(x) = b/c
  • tan(x) = b/a

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday.Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days?

A.Step 1: Multiply 1 × 5.
Step 2: Multiply 2 × 3.
Step 3: Add the two products.

B.Step 1: Multiply 1 × 5.
Step 2: Multiply 2 × 3.
Step 3: Subtract the two products.


C.Step 1: Divide 1 ÷ 5.
Step 2: Divide 2 ÷ 3.
Step 3: Add the two quotients.

D.Step 1: Divide 1 ÷ 5.
Step 2: Divide 2 ÷ 3.
Step 3: Subtract the two quotients.

Answers

Answer:

  A. Step 1: Multiply 1 × 5.

  Step 2: Multiply 2 × 3.

  Step 3: Add the two products.

Step-by-step explanation:

The total number of miles hiked will be the sum of the numbers of miles hiked each day. Each day, the number of miles hiked can be computed by multiplying time by speed:

  distance = speed × time

So, the total number of miles hiked is ...

  total miles = miles on day 1 + miles on day 2 . . . . . (sum, not a difference—eliminates choice B)

  total miles = (speed on day 1)×(time on day 1) + (speed on day 2)×(time on day 2) . . . . . (sum of products—eliminates choices C and D)

Choice A correctly describes the computation.

7. Here is a system of equations:-x+6y=9
x+6y=-3
Would you rather use subtraction or addition to solve the system? Explain
your reasoning. (Lesson 2-14)

Answers

Final answer:

It is more convenient to use addition to solve the system of equations as it eliminates one of the variables when the equations are added. The solution to the system of equations is x = -6 and y = 1/2.


Explanation:

To solve the given system of equations, it is generally more convenient to use addition rather than subtraction. This is because addition eliminates one of the variables when the equations are added together, making it easier to solve for the remaining variable. Let's see how:

Using addition:

Adding the two equations together eliminates the 'x' variable:

-x + 6y + x + 6y = 9 + (-3)

12y = 6

Now, we can solve for 'y' by dividing both sides by 12:

y = 6/12 = 1/2

Substituting the value of 'y' back into either of the original equations, we can solve for 'x':

-x + 6(1/2) = 9

-x + 3 = 9

-x = 6

x = -6

Therefore, the solution to the system of equations is x = -6 and y = 1/2.


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Find the solutions to x2-2x+10=0. The quadratic formula has been started for you.

Answers

Answer

The solution to the quadratic equation is

x=1\pm3i

EXPLANATION

Problem Statement

The question gives us the beginning of the application of the Quadratic formula on a quadratic equation. We are required to simplify the expression and get in more certain terms, the values of x.

The expression given is:

\begin{gathered} x^2-2x+10=0 \n  \n x=\frac{2\pm\sqrt[]{(-2)^2-(4)(1)(10)}}{2} \end{gathered}

Solution

Let us begin to simplify the expression below:

\begin{gathered} x=\frac{2\pm\sqrt[]{(-2)^2-(4)(1)(10)}}{2} \n  \n x=\frac{2\pm\sqrt[]{(-2*-2)^{}-(4*1*10)}}{2} \n  \n x=\frac{2\pm\sqrt[]{4-40}_{}}{2} \n  \n x=\frac{2\pm\sqrt[]{-36}}{2} \n  \n \text{From the laws of indices, we have:} \n \sqrt[]{a* b}=\sqrt[]{a}*\sqrt[]{b} \n  \n x=\frac{2\pm\sqrt[]{-1*36}}{2} \n  \n x=\frac{2\pm(\sqrt[]{-1})(\sqrt[]{36})}{2} \n  \n \text{ We know that, } \n \sqrt[]{-1}=i \n  \n x=(2\pm(i)(6))/(2) \n  \n x=(2\pm6i)/(2) \n  \n x=(2(1\pm3i))/(2) \n  \n 2\text{ Crosses out} \n  \n x=1\pm3i \end{gathered}

Final Answer

The solution to the quadratic equation is

x=1\pm3i