You are doing a walkathon/runathon to raise money for your school. You can walk at a rate of 4 miles per hour and run at a rate of 6 miles per hour. You need to cover more than 8 miles in order to raise your part
of the money. Which of the following linear inequalities can be used to determine how long you must walk
(w) and run (c) in order to cover more than 8 miles?
4w + 6 = 8
4w + 6r > 8
4w + 6r > 8
o
4w +6r < 8

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2