Answer:
DE = 15
DF = 23
Step-by-step explanation:
E___D___F
EF = DE + DF
38 = (3x +9) + (12x-1)
38 = 15x + 8
15x = 38 - 8
15x = 30
x = 30/15
x = 2
DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15
DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23
I hope I helped you^_^
Answer:
The amount of money in Enid bank account can be written as a linear equation.
Ye = Xe + $4*m
where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.
For Jim, the equation is similar:
Yj = Xj + $3*m
where Yj and Xj are similar as above.
Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).
Then we have that:
Ye = $72 = Xe + $4*7 = Xe + $28
Xe = $72 - $28 = $44
So in May 15, Enid deposited $44.
For Jim we have:
Yj = $72 = Xj + $3*7 = Xj + $21
Xj = $72 - $21 = $51
So in May 15, Jim deposited $51.
Answer:
(3, -3)
Step-by-step explanation:
When asked to solve by elimination, you put them on top of one another, like you're going to add it.
10x + 7y = 9
-4x - 7y = 9
See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.
6x = 18
x = 3
Take x, and plug it into either equation to find y.
10(3) + 7y = 9
7y = -21
y = -3
(3, -3)
Hope this helped!
Answer:
x=51
Step-by-step explanation:
There are two ways you can go about this
You can either say that the sum of interior angles in a triangle is equal to 180 so you do 180-39-90=51
Or you could use the exterior angle theorem, which means that 90=39+x, simplify that and you get that x=51
