Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use w for the number of weeks.
a 150 + 1.5w = 200 + 2.5w
b 350 = -4w
c 150w - 1.5 = 200w - 2.5
d 150 - 1.5w = 200 - 2.5w

d 150 - 1.5w = 200 - 2.5w

Step-by-step explanation:

To write an expression for this problem, we call:

= number of weeks

Roy weighs 150 pounds at the beginning, and he plans to lose 1.5 pounds per week; this means that his weight after w weeks is

Luis weighs 200 pounds at the beginning, and his weight decreases by 2.5 pounds per week, so the expression for his weight after w weeks is

Roy and Luis have the same weight when

Therefore,

Which is option D.

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.