Answer:
<h3>
33.3%</h3>
Step-by-step explanation:
Using the formula for calculating simple interest as shown;
Simple Interest = Principal * Rate *Time/100
Principal = Cost of tablet = $1500
Interest after one year = $1500-$1000 = $500
Time = 1year
Substituting this values into the formula;

The interest rate that her parents assumed is 33.3%
Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get




Adding x on both sides, we get




The missing length is 3 Therefore, the correct option is D.
If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
Answer:
x = -2
Step-by-step explanation:
3(-2 - 3x) = -9x - 4 (Given)
3(-2) + 3(-3x) = -9x - 4 (Distributive Property of Equality)
-6 + 9x = -9x - 4 (Simplify)
-6 + 4 -9x= -9x - 4 + 4 (Addition Property of Equality)
-2 + 9x = -9x (Simplify)
-2 +
(Division Property of Equality)
-2 = x (Simplify)
x = -2 (Symmetric Property of Equality)