Factor this equation

Answer:

1  3/7

Step-by-step explanation:

just finished the k12 test

To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.

The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.

The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.

In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.

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Answer:

[tex]6\frac{2}{3}[/tex] of 18%,  [tex]3\frac{1}{3}[/tex] water

Step-by-step explanation:

The 18% solution added to the water is equal to the 10 liters of 12% solution.

Let's say that the amount of 18% solution is x

18% of x = 0.18x

Let's say that the amount of water is 10-x

Because there is no alcohol in water, it will be 0(10-x), or just 0

0.18x + 0 = 10•0.12

0.18x = 1.2

x = [tex]6\frac{2}{3}[/tex]

10 - [tex]6\frac{2}{3}[/tex] = [tex]3\frac{1}{3}[/tex]

To make a 10 liter solution of 12% alcohol, you need to mix 6.67 liters of an 18% alcohol solution with 3.33 liters of water.

To make a 12% alcohol solution, we need to mix the 18% alcohol solution with water. Let's assume x liters of the 18% alcohol solution and (10 - x) liters of water.

The amount of alcohol in the 18% solution is 0.18x liters, while the amount in the water is 0 liters. In the final solution, the amount of alcohol is 0.12 * 10 = 1.2 liters.

So, we can set up the equation 0.18x + 0 = 1.2 and solve for x. By solving this equation, we find that x = 6.67 liters. Therefore, 6.67 liters of the 18% alcohol solution and 3.33 liters of water should be mixed to make 10 liters of a 12% alcohol solution.

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Substitute m=6/5 and b=-3 in the above equation to find the equation of line.

[tex]y=\frac{6}{5}x+(-3)[/tex]

So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].

Substitute y=0 in the above equation to find the x-intercept of the line.

[tex]0=\frac{6}{5}x-3[/tex]

Add 3 on both the sides.

[tex]0+3=\frac{6}{5}x-3+3[/tex]

[tex]3=\frac{6}{5}x[/tex]

Multiply both sides by 5.

[tex]15=6x[/tex]

Divide both sides by 6.

[tex]\frac{15}{6}=x[/tex]

[tex]2.5=x[/tex]

The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).

Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.

Answer:Option D is correct

Step-by-step explanation:

I had the same problem and I clicked option D and it was correct

Conversion of the fraction to decimal gives us; 3.55.....

There are different types of fractions such as;

Mixed Fractions

Improper Fractions

Proper Fractions

We are given the fraction as; 3 5/9

Now, this can also be expressed as:

3 + 5/9

We know that 5/9 when converted to decimal gives:

5/9 = 0.55555....

Approximating gives 0.55....

Thus;

3 + 5/9 = 3 + 0.55....

= 3.55.....

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c = 9/sin(25)

c = 9/0.4226

c = 21.2958

9/sin(25)

9/0.422618261741

21.29

Final answer:

Shapes can be classified using the distance and slope formulas by calculating side lengths and verifying perpendicular or parallel lines, as demonstrated in identifying a rectangle through side equality and perpendicularity.

Explanation:

You can classify shapes by using the distance and slope formulas to understand their geometry, such as identifying parallelograms or triangles with equal sides. The distance formula, √((x2-x1)² + (y2-y1)²), helps calculate the exact length between two points, allowing one to discern if sides are equal and hence contributing to classifying the shape. The slope formula, (y2-y1) / (x2-x1), helps determine the incline or decline between two points, which is essential for identifying parallel or perpendicular lines, thus assisting in shape classification.

For example, to classify a quadrilateral as a rectangle, you could calculate the distance between all points to ensure opposite sides are equal and use the slope formula to ensure adjacent sides are perpendicular by checking if the product of their slopes is -1.

(x+8)*8 = (9+7)*9

(x+8) *8 = 16*9

(x+8) *8 = 144

x+8 = 144/8

x+8 = 18

x = 18-8

x = 10

The percent increase is 56.25%

Work is provided in the image attached.