Answer:
y=-6x+7 (Negative Slope)
Step-by-step explanation:
This equation is in slope intercept form.
7= y-intercept
-6= slope
This means that when you plot this on a graph, your slope will be negative.
Answer:
sales tax= 9 %
Step-by-step explanation:
sales tax= cost x %tax
38.70 = 430 x %tax
%tax = 38.7/430 = 0.09 = 9 %
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Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:


Now, we will multiply both fractions as:



Therefore, the 2nd debate was 3 hours long.
Answer:
- Since the question is incomplete, see the figure attached and the explanation below.
Explanation:
Since the figure is missing, I enclose the figure of a square inscribed in a circle.
Since the <em>area of a square</em> is the side length squared, you can determine the side length:

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:
- diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

The area of the circle is π (radius)².
- radius = diameter/2 = diagonal/2
