26 x 72 = 1872
40 + 420 + 12 = 472
1872 - 472 = 1400 (the answer)
Answer:
This would mean 3x=5
so to isolate the x, we divide 5 by 3
and get x=5/3
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
1 1/9
To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:
2/3 = X
—————- —————-
3/5 = 1
You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.
2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.
So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
Answer:
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary, so ...
∠B +∠D = 180°
(3x -4) +(2x -6) = 180
5x = 190 . . . . . . . . . . . add 10, collect terms
x = 38 . . . . . . . . . . . . . divide by 5
∠D = 2(38) -6 = 70
∠B = 180 -70 = 110
The measures of angles B and D are 110° and 70°, respectively.
