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2 years ago

Writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.

Mathematics

2 answers:

sdas [7]2 years ago

4 0

This is how I did it, I really hope it helped you with your homework

WINSTONCH [101]2 years ago

3 0

Answer:

142≤ x.

Step-by-step explanation:

Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.

To find : Writing an inequality for x that would give this rectangle a perimeter.

Solution : We have given length = 3 ft.

Width = x + 5 ft .

Perimeter = 300 feet .

Perimeter = 2 ( length + width ) .

Plugging the values and greater than equal to sign for at least.

300 ≤ 2( 3 + x +5).

300≤ 2( 8 +x) .

300≤ 16 + 2x

On subtracting both sides by 16.

300 -16 ≤ 2x .

284 ≤ 2x.

On dividing both sides by 2.

142≤ x.

We can say x is at least 142.

Therefore, 142≤ x.

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Find the least number which should be subtracted from 500 to make it a perfect square

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Answer: 16

Step-by-step explanation:

A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.

22 x 22 = 484 (under 500)

23 x 23 = 529 (over 500)

Therefore, the perfect square must be 484.

Subtract 484 from 500:

500 - 484 = 16

16 is the answer :)

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2 years ago

Greg is designing a clock face. Using the center of the clock face as the origin, he keeps its diameter at 10 units. Match the p

Alex17521 [72]

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2 years ago

Read 2 more answers

The tiles that Bruce used were each of a square foot in the area. The table shows the area covered by Felicia’s tiles in terms o

Allisa [31]

Answer:

Step-by-step explanation:

We have to write an equation which represents the area of Felicia covered y in terms of the number of tiles she used.

Let x= Number of tiles

y=Area covered by Felicia's tile

$x_1=9, x_2=18, x_3=27$

$y_1=1, y_2=2,y_3=3$

$\frac{x_1}{y_1}=\frac{9}{1}=9$

$\frac{x_2}{y_2}=\frac{18}{2}=9$

$\frac{x_3}{y_3}=\frac{27}{3}=9$

The ratio of x and y remains constant.Therefore, it is direct proportion .

Equation of direction proportion is given by

$\frac{x}{y}=k$

Where

k=The value of ratio of x and y

x and y are variables

We have k=9

Substitute the values in the equation

Then, we get

$\frac{x}{y}=9$

$x=9y$

$y=\frac{1}{9}x$

This is required equation which representing the area of Felicia covered y in terms of the number of tile she used x.

6 0

2 years ago

The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted up 3 units. What is its equation

Aliun [14]

For this case, the parent function is given by:
$G (x) = x ^ 2
$
Applying the following transformation we have:
Vertical displacement
Assume k> 0,
To graph y = f (x) + k, move the graph k units up.
We have then:
$F (x) = G (x) + 3

F (x) = x ^ 2 + 3$
Answer:
the equation of F (x) is given by:
$F (x) = x ^ 2 + 3$