<span>Equation at the end of step 1 :</span> (2x - 5 • (2x - 7y + 3)) + -8<span> :</span>Pulling out like terms :3.1 Pull out like factors :
-8x + 35y - 23 = -1 • (8x - 35y + 23)
Final result : -8x + 35y - 23
Answer:
the zero property
Step-by-step explanation:
The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system

We can use the first equation to substitute in the second

And then solve for
:

For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Around 17,225 cats could be estimated to live in the town
Answer: 39
Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.