Answer:
Question D.
Pretty simple if you know what the distributive property is. In this equation, you notice 2 fractions outside the parenthesis. This means you must multiply this fraction by every number within its corresponding parenthesis. So, if you distribute the new equation would be 
. After this isolate the variable y and solve. I'll leave that to you so you can get something out of it, because my entire explanation would be useless if you just looked at the answer and left, not knowing how to do it in the future. :)
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.
We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n
We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12
We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n)
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0
Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n
4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8
Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
Answer:
since she is 3/4 the way home she has to go 20 miles cause 15/20 is equal to 3/4
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
To get the answer, add the whole numbers together and then add the fractions together:
9 + 4 = 13
(You can even stop here because 14 is the closest to 13)
Now, add the fractions:
To add fractions you have to have a common denominator. To find the common denominator multiply 3 by 5, and 5 by 3. Like this:
Simplify:
Distribute everything from above
Add
So, the whole fraction will look like this 
. This is closest to 14.
Hope this helps!! Ask questions if you need!
The greatest common factor 16 and 9 is one.
The factors of 16 are 1, 2, 4, 8, 16.
The factors of 9 are 1, 3, 9.
The only factor common to both is 1.
