Answer: A
Step-by-step explanation:
Answer:
Store B
Step-by-step explanation:
Store A: $80
Store B: $79.20
Store C: $79.80
Store D: $81
Answer:
(x, y) = (-7, 11)
Step-by-step explanation:
The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.
<u>First equation</u>:
2^(x+y) = 16
2^(x +y) = 2^4 . . . . use the same base to write the constant
x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)
<u>Second equation</u>:
2^(2x +y) = 1/8
2^(2x +y) = 2^(-3) . . . . use the same base to write the constant
2x +y = -3 . . . . . . equate exponents of 2
<u>Solve the linear equations</u>:
We can subtract the first equation from the second to get ...
(2x +y) -(x +y) = (-3) -(4)
x = -7
y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y
The solution to the system is (x, y) = (-7, 11).
<span>If I have a bolt that has a diameter of 1.125 inches and a hole that's 1.300 inches with a tolerance of +/- 0.025 inches, what's the larger even tolerance I can have on the bolt to ensure it will pass through the hole? Answer: +/- 0.150 inches.</span>
Answer:
29/40 = 0.725 34/25 = 1.36 12/10 = 1.2 17/50 = 0.34
Step-by-step explanation:
Just divide the first number by the second number. So 29 divided by 40 is 0.725 and so on.