Answer:
-1
Step-by-step explanation:
2.5 - 3.5x = 8 - 4x - 6
0.5x = 2 - 2.5
0.5x = -0.5
x = -1
A. Given
b. Substituition Property (replaces x with the definition of x=8)
c. Subtraction Property of Equality (-1-88=-89)
d. Division Property of Equality (isolating y)
e. Symmetric Property of Equality (a=b -> b=a)
so the second option
Of the choices offered, the only one that makes any sense is ...
1. It is more than the number of students who prefer movies and picnics combined.
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
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The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
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The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
