We want to get rid of the stuff in the denomenator
gcd of the denomenator is 2x
but wait, we can get rid of the deonmenator in the numerator by multiplying by 4x
muliplty the whole thing by 4x/4x
we get
Let x = times in the pool
Let y = times in the basketball courts
42=3x+5y
x+y=12
Therefore y = 12-x
Subsitute for y
42 = 3x + 5(12-x)
42 = 3x + 60 -5x
Subtract 60
-18 = -2x
9 = x
The person used the pool 9 times.
Hello from MrBillDoesMath!
Answer:
The first choice ( -12, 20)
Discussion:
Using matrix multiplication we find the equations:
1x + 1y = 8 (A)
2x + 3y = 36 (B)
Next, compute
2(A) - B =>
(2x + 2y) - (2x + 3y) = 2*8 - 36 =>
(2x - 2x) + ( 2y-3y) = 16 - 36 =>
-y = -20 =>
y = 20
Substituting this y value in (A) gives
x + 20 = 8 =>
x = 8 - 20 =>
x = -12
The answer is the first choice ( -12, 20)
Thank you,
MrB
Wow this is a lot I am so sorry anyone smart hasn’t answered this yet cause I really do know the answer to this
Answer:
1.98
Step-by-step explanation:
In this problem, we are:
Given: ∠D = 26°, Hypotenuse (DF) = 4.5
To solve: EF
Now through the given, we are to focus on point D to solve for EF.
We need to find the relationship of point D to DF and EF.
The relationship here is sine.
Reason: 
Through point D, DF is the hypotenuse and EF is the opposite side.
So let's solve this simply through algebra,
sin = 
sin(26°) = 
0.44 = 
0.44 × 4.5 = EF
1.98 = EF