An animal shelter spends $2.50 per day to care for each cat and $3.00 per day to care for each dog. Parker noticed that the shelter spent $46.50 caring for cats and dogs on Thursday. Parker found a record showing that there were a total of 18 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

3 cats

Step-by-step explanation:

15 dogs = 2.5*15 = 37.5

3 cats = 3*3= 9

add them together you get 37.5+9= 46.5

so that means there are 3 cats

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: