The GCF of 7 and 14a is 7, so the factors are:-
7(1 + 2a)
Answer:
9² = 40² + 41² - 2(40)(41) cos(C)
81 = 1600 + 1681 - 3280 cos(C)
81 = 3281 - 3280 cos(C)
-3200 = -3280 cos(C)
cos(C) = 3200 / 3280
cos(C) = 40 / 41
Step-by-step explanation:
So to find the answer to this, you have to consider that
![\frac{1}{2} x + 9 = 13](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%20%2B%209%20%3D%2013)
- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with
![\frac{1}{2} x = 4](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%204%20)
and
![\frac{1}{2} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%20%20)
is the same as
![\frac{1x}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1x%7D%7B2%7D%20)
, so to solve this, multiply both sides of the equation by two, resulting in
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
. SO from this we can conclude that the weekly allowance is $8
Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
But i cant see the picturess