Exponents and logarithms are inverse functions, which means that exponents are the way to "undo" logarithms and logarithms are what you use to "undo" exponents. exponents tell you how many times you have to multiply a value and logarithms ask which exponent you need to use to get a specified value. exponential equations are used in a lot of scientific fields; for example, in biology, they're used to calculate the half-life of organisms. they can also be used to estimate the growth of a population. additionally, the richter scale, which measures the magnitude of earthquakes, uses logarithms.
Answer:
cost of nachos = $3.45
Cost of tacos = $1.5
Step-by-step explanation:
Let
x = cost of nachos
y = cost of tacos
11x + 18y = 64.95 (1)
6x + 15y = 43.20 (2)
Multiply (1) by 6 and (2) by 11 to eliminate x
66x + 108y = 389.70
66x + 165y = 475.20
Subtract to eliminate x
165y - 108y = 475.20 - 389.70
57y = 85.50
y = 85.50/57
y = 1.5
Substitute y = 1.5 to find x
11x + 18y = 64.95 (1)
11x + 18(1.5) = 64.95
11x + 27 = 64.95
11x = 64.95 - 27
11x = 37.95
x = 37.95/11
x = 3.45
cost of nachos = $3.45
Cost of tacos = $1.5
Answer:
Yes.
2 feet
Step-by-step explanation:
Pieces of copper that Arsenio needs in total = 27 pieces
Length of each piece of copper tubing that he needs = 2/9 foot
Length of available tubing = 8 foot
Since, the length of each piece is 2/9 foot, the length of 27 pieces would be:
This means, Arsenio needs 6 feet in total for the copper tubing. Since he got 8 feet in total, he has sufficient amount of tubing available.
After making the 27 pieces, he will be left with 8 - 6 = 2 feet of tubing.
Divide the number of cars by the number of hours:
288 / 9 = 32 cars per hour.
