Evaluate the expression below. (8 - 7)- 4 + 3(-1) 1 -7 -1 7

Last year Jo paid £245 for her car insurance. This year she has to pay £883 for her car insurance. Work out the percentage incre

S_A_V [24]

Answer:

260%

Step-by-step explanation:

To solve how much the percentage increase cost of Jo's car insurance is, we first need to list down our variables.

1st year = £245

2nd year = £883

First off, we need to find the difference of the two.

Increase = £883 - £245

Increase = £638

Now to find the percentage increase, we take our increase and divide it by our 1st year's payment and multiply it by 100.

Percentage increase = $\dfrac{638}{245}*100$

Percentage increase = $2.60*100$

Percentage increase = 260%

So the percentage increase of last years payment to this years payment is 260%.

8 0

3 years ago

Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

8 0

1 year ago

Which of the following statements about a plane is not true?

DedPeter [7]

We have to identify the statement about the plane which is not true.

1. Consider the first statement,

" A plane can be thought of as flat". It is true as plane is a flat surface.

2. Consider the second statement,

"The surface of a plane is made up of points". It is true as plane is a flat surface which is made up of points.

3. Consider the third statement,

"A plane can be seen". It is not true as plane is a flat surface which can not be seen.

4. Consider the fourth statement,

"A plane extends infinitely in all directions". It is true as plane is a flat surface that extends infinitely along its edges.

3 0

2 years ago

Read 2 more answers

Which decimal is equivalent to 8/11 ? A. 0.72 B. 0.72 C. 0.88 D. 0.88

nikklg [1K]

Answer:

B. 0.72

Step-by-step explanation:

8/11 = 0.72

5 0

3 years ago

Read 2 more answers

A number is as much greater than 21 as it is less than 75 .find the number

laiz [17]

Answer:

46

Step-by-step explanation:

Let number is x greater than 21 and x less than 71.

Now, according to question,

21+x=71−x

2x=50

x=25

So, required number is 21+x=21+25=46.

Alternatively,

The required number would be the average or mean of 21 and 71.

So, required number =

2

(21+71)

=46.

7 0

3 years ago