Answer:
When we divide by a negative value, the sign for the inequality changes.
Step-by-step explanation:
2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.
Answer: 107 units.
Step-by-step explanation: To find the area of the first box, you multiply the side lengths, which in this case are 5 by 7 to get 35. Then you find the area of the second box by multiplying 8 * 10 which is 80 so the total area of everything is 115 units. Then you subtract the non - shaded region which is 2 * 4 units. So after subtracting 115 - 8, you get your final answer of 107 units.
Answer:
pizza , or KFC, chic fil a
Count the total number of students who prefer fiction novels: In 9th grade there are 35, in 10th grade there are 52, so there are 87 students who prefer fictions. The proportion of 10th grade students out of these 87 students is 52/87=0.60 approximately.
Answer:
138.3ft^3
Step-by-step explanation:
Volume for cylinders : V = pi*r^2*h
Volume for cones : V = pi*r^2*(h/3)
Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.
Volume for cylinder is about 125.7ft^3
Volume for cone is about 12.6ft^3
Then just add them together for a total of 138.3ft^3