Answer:
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
Step-by-step explanation:
(x - 2) - (6x - 9)
x - 2 - 6x + 9 =
-5x +7
(5 x + 1) - (-10 x + 6)
5x +1 + 10x - 6
25x - 5
-4 x + 2 x + 7 - 3 x
-5x + 7
(4 x + 3) + (-9 x + 4)
4x +3 -9x + 4
-5x + 7
The question is incomplete:
Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?
10 weeks, $10
10 weeks, $310
9 weeks, $310
310 weeks, $10
Answer:
10 weeks, $310
Step-by-step explanation:
As the statement indicates, you have the following equations:
y=25x+60
y=30x+10
where:
y= the amount of money
x= the amount of time in weeks
You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:
25x+60=30x+10
60-10=30x-25x
50=5x
x=50/5= 10
After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:
-y=25(10)+60=310
-y=30(10)+10= 310
According to this, the answer is 10 weeks, $310.
C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
