Answer as a fraction. Do not include spaces in your answer.1.9x(1/4)

Solve for x: -3x + 3 < 6<br> x>-1<br> x<-1<br> x<-3<br> x>-3

Triss [41]

Answer:

D is the correct answer

Step-by-step explanation:

first you subtract the 3 from the left side and add it to the right side. then you divide both side by negative 3 and flip the less than sign to a greater than sign

5 0

3 years ago

An artist wants to frame a square painting with an area of 400 square inches . she wants

Artemon [7]

(a) $x^{2}$ = 400
(b) $\sqrt{x^2} = \sqrt{400}$
$x=20,-20$
(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches

6 0

3 years ago

URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——

valkas [14]

<h3>Answer: Q = 8</h3>

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Explanation:

The left hand side of the first equation is x-3y

The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y

If we multiply both sides of the first equation by 2, we get

x-3y = 4

2(x-3y) = 2*4

2x-6y = 8

Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.

We can say each solution is in the set {(x,y): x-3y = 4}

Which is the same as saying each solution is of the form (3y+4,y)

4 0

3 years ago

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 1 inches. She p

Sauron [17]

The expression used for the length of ribbon that she needs for both pillows will be $4(2x^{2} +4x-6)$ .

The total length of the pillow she needs will be 130 inches.

Given,

The side length of pillow is $(2x^2 + 1) \ inches$ .

The side length of another pillow is $4x-7 \ inches$ .

We know that perimeter of square will be,

$P=4\times length$

So the perimeter of pillow will be,

$P=4\times (2x^2+1)\\$

$P=8x^{2} +4$

Similarly, the perimeter of another pillow will be,

$P=4\times (4x-7)$ ]

$P=16x-28$

Hence,the total length of ribbon that she needs for both the pillows will be,

$8x^{2} +4+16x-28\\8x^{2} +16x-24\\4(2x^{2} +4x-6)$

If $x=3.5\\$ then the total length of ribbon will be,

$4(2\times 3.5^{2}+4\times 3.5-6)\\4(2\times 12.25+14-6)\\$

$4(24.5+8)$

$4\times 32.5\\$

$130 \ inches$ .

Thus the required expression will be $4(2x^{2} +4x-6)$ and the total length of ribbon she needs will be 130 inches.

So, the correct option will be (D).

For more details on perimeter of square follow the link:

brainly.com/question/5402168

7 0

2 years ago

PLEASE HELP!!!!! WILL GIVE BRAINEST TO THE FIRST CORRECT ANSWER!!!!!!!

gavmur [86]

Answer: 27.89905693 units²

Step-by-step explanation:

First divide the shape into smaller pieces, then find the area of these pieces and then add them up to get the area of the whole shape.

Area of first triangle = 1/2×2×2 = 2

Area of second triangle = 1/2×2×5 = 5

Area of square = 2×2 = 4

Summing up the smaller sides of the shape, we obtain a larger triangle with sides 3.5 and a base of 9. Thus we find the longest/hypotenuse side by applying the Pythagoras Theorem

√((3.5)² + 9²) = √93.25

Area of large triangle = 1/2×3.5×√93.25 = 16.89905693

Add up the areas to find the area of the shape = 16.89905693+5+4+2 = 27.89905693

5 0

3 years ago