Let number of quarters in family piggy bank = x
Let number of dimes in family piggy bank = y
Given that "there are 12 times as many dimes are there are quarters". so we can write equation:
y=12x...(i)
Given that " total change is worth $21.75".
We know that 1 quarter = $0.25 and 1 dime = $0.10
So other equation will be :
0.25x+0.10y=21.75...(ii)
Now we just need to solve both equations.
Plug (i) into (ii)
0.25x+0.10y=21.75
0.25x+0.10(12x)=21.75
0.25x+1.2x=21.75
1.45x=21.75
x=15
plug x=15 into (i)
y=12x=12*15=180
Hence final answer is given as:
Number of quarters in family piggy bank = 15
Number of dimes in family piggy bank = 180
The first picture is for (-4, 7) and the second picture is for (0, 8)
Answer:
6x-6
Step-by-step explanation:
The Distributive property says that a(b+c) = ab+ac
In my example you distribute the value on the outside to the things on the inside
In your problem you have a two on the outside that needs to be distributed to a 3x and a -3
1) 2 multiplied by 3x equals 6x giving you the first part of your answer!
2) 2 multiplied by -3 equals -6 giving you the second part of your answer!
Don't forget that there is a - sign between the 3x and 3, don't drop it!
Put the two values together to get 6x-6
Let me know if you have any further questions :)
Hello! i can do the first word problem
first we need to divide 600/3 which is 200.
therefore we can infer that he does 200 letters an hour and we can solve the problem with this
200 x 7 = 1400 letters an hour