If there is a 7 1/2 foot long couch and i want to scale it down with 1 inch : 2 feet what would the length be

Step-by-step explanation:

1 inch = 2 ft

7 1/2 ft is the same as 7.5 ft

make a proportion

1 inch to 2 ft = x inches to 7.5 ft

make a proportion...

1 / 2 = x / 7.5

cross multiply

(2)(x) = (1)(7.5)

2x = 7.5

x = 7.5 / 2

x = 3.75 inches or 3 3/4 ft <===

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

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: