Simplify the linear expression by subtracting,

Mary has planned to save 25% of her weekly earning in savings account. She uses double number line as shown below to determine h

Bas_tet [7]

Answer:

Step-by-step explanation:

In this problem we are expected to calculate the amount Mary will save per week based on her 25% plan on her weekly earning of $700

hence we have to calculate 25% of $700 and that will be the answer to the problem

we have

weekly savings = (25/100)*700

weekly savings = 0.25*700

weekly savings= $175

<em>Hence Mary will save $175 per week if she follows the 25% plan of her weekly earnings</em>

8 0

3 years ago

Write the following equation in the general form

shtirl [24]

<h2>Explanation:</h2>

As I understand, the given equation is:

$5 y = x-1$

So we need to write this into general form. The general form of the equation of a line is given by:

$Ax + By + C = 0$

Where A and B can't be zero at the same time. So subtracting 5y from both sides:

$5y-5y = x-1-5y \\ \\ 0=x-1-5y \\ \\ \\ Arranging: \\ \\ \boxed{x-5y-1=0} \\ \\ \\ So: \\ \\ A=1 \\ \\ B=-5 \\ \\ C=-1$

6 0

3 years ago

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago

Find the probability of a student being 34 years old or younger. Express your answer as a percent

yarga [219]

Answer:

79%

Step-by-step explanation:

3 0

3 years ago

Explain each step of how to solve this: -1 2/3 divided by 3/5

Tatiana [17]

Answer:

11 2/3 or 11.6667

Step-by-step explanation:

Hope this helps and have a great day.

8 0

3 years ago