Answer:
1200÷20=x and x=60
Step-by-step explanation:
60
x 20
---------
1200
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees
Answer:
12 million dollars.
Step-by-step explanation:
Let the sales in the first year be x million .
So the sales in the second year were x + 4 million, in the third year were 3(x + 4) and this is 48 million dollars.
So we have the equation 3(x + 4) = 48
3x + 12 = 48
3x = 36
x = 12 million dollars.
