Holly's fitness tracker shows how many

Katie wants to create a rectangular frame for a picture. She has 60 inches of material. If she wants the length to be 3 more tha

Fofino [41]

Answer:

Largest possible length is <em>21 inches</em>.

Step-by-step explanation:

Given:

Total material available = 60 inches

Length to be 3 more than twice of width.

To find:

Largest possible length = ?

Solution:

As it is rectangular shaped frame.

Let length = $l$ inches and

Width = $w$ inches

As per given condition:

$l = 2w+3$ ..... (1)

Total frame available = 60 inches.

i.e. it will be the perimeter of the rectangle.

Formula for perimeter of rectangle is given as:

$P = 2 \times (Width + Length)$

Putting the given values and conditions as per equation (1):

$60 = 2 \times (w+ l)\\\Rightarrow 60 = 2 \times (w+ 2w+3)\\\Rightarrow 60 = 2 \times (3w+3)\\\Rightarrow 30 = 3w+3\\\Rightarrow 3w = 27\\\Rightarrow w = 9 \ inch$

Putting in equation (1):

$l = 2\times 9+3\\\Rightarrow l = 21\ inch$

So, the answer is:

Largest possible length is <em>21 inches</em>.

6 0

2 years ago

Put the following numbers in order from least to greatest: -3.15, 3.3, -3 1/5, -3.3

Bas_tet [7]

-3.15, -3.3,-3 1/5,3.3,

6 0

2 years ago

Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each si

bija089 [108]

The graph of the function f(x)=(x+2)(x+6) is shown

The statement the function is negative for all real values of x where x <-2

3 0

2 years ago

Read 2 more answers

Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.

Lelu [443]

Let's put it this way: If you plot a few non-x-intercept points and then draw a curvy line through them,you will not know if you got the x-intercepts even close to being correct. <span>The only way you can be sure of your x-intercepts is to set the quadratic equal to zero and solve. So its a matter of guessing from the pictures. Basicaly said, the calculator won't give you the exact result.</span>

4 0

2 years ago

Read 2 more answers

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s

faltersainse [42]

<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula: