1. if a spring stretches 35 inches when 65 pounds is attached, then how far will it stretch when 42
pounds is attached?

Set up a ratio with x being the unknown distance:

35/65 = X/42

Cross multiply:

65x = (35*42)

Simplify:

65x = 1470

Divide both sides by 65:

X = 1470 / 65

X = 22.615

It will stretch 22.615 inches ( Round the answer as needed.)

1,918

step-by-step explanation:

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: