Answer:
w= -0.163265306122449
Step-by-step explanation:
49w = -8
divide both sides by 49
w= -8/49 = -0.163265306122449
check answer by multiplying -0.163265306122449 by 49
49 * -0.163265306122449 = -8
Katie is 32 years old
add 5 to 11 and multiply 16 by 2 to get 32
Equation
-4x + 16 = -116
solve for x
-4x + 16 = -116
subtract 16 to both sides
-4x + 16 - 16 = -116 - 16
simplify
-4x = -132
divide -4 to both sides
-4x/-4 = -132/-4
simplify
x = 33
answer: the number is 33
<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>
What is a linear equation?
- A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
- The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear
We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.
If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3
By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible
and
If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4
By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible
hence, buying a pair of shoes gives us 48 different outfits.
Learn more about linear equation
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