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.
Answer:
1) 125
2) 1
3) 27
Step-by-step explanation:
1) 5*5*5=
125
2) whenever there is an exponent of 0, the number is 1
3) 3*3*3=
27
Answer:
C. 5.8 × 
Step-by-step explanation:
0.000058
4 zeros
4 + 1 = 5
5.8 × 10⁻5