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:
12 Shirts
9.65 times 12 is 115.8 plus 43 is 158.8
8.40 time 12 is 100.8 plus 58 is 158.8
Answer:
7b+5
Step-by-step explanation:
10b + 7 − 3b −2
=10b + 7 + −3b + −2
Combine Like Terms:
=10b + <u>7 </u>+ −3b + <u>−2
</u>
=(10b + −3b) + ( <u>7 </u>+ <u>−2</u>)
=7b + <u>5</u>
Answer:
7b + 5
Hope this helps : )
Given:
The radius of the sphere is 6 in.
To find:
The volume of the sphere.
Solution:
We know that, the volume of a sphere is
Where, r is the radius of the sphere.
Putting r=6, we get
The volume of the sphere is 904.78 inches cubed.
Therefore, the correct option is C.
