Answer:
t=15.74
Step-by-step explanation:
Take ln on both sides
move the exponent 12t before ln as per log property
now divide the ln on both sides to make 12t alone
divide both sides on both sides
t=15.74
Answer:
58 and 42.
Step-by-step explanation:
Let the 2 numbers be x and 100-x.
Also let x be the largest number, so
x ≥ 100 - x + 16 ( 'At least 16' means equal to 16 or greater than 16).
Add in x to both sides:
x + x ≥ 100 + 16
2x ≥ 116
x ≥ 58.
But since the sum of the 2 numbers is 100, x must be 58 and the other number is 42.
The ratio of 3 gallons to 10 quarts as a fraction would be 3/10.
Answer:
5
Step-by-step explanation:
Scale factor is just the amount every side is multiplied by.
7*5=35
You would first make an equation to show their individual price per hour multiplied by hours worked then added together to equal total cost. let X be mechanic 1 and Y be mechanic 2
10x + 5y = 1225
the second equation will use their price per hour added together to equal combined cost per hour
x + y = 180
you would solve by substitution. to do so, isolate either x or y in the second equation. for convenience, I will isolate x
x = 180 - y
plug in (180 - y) for x in the first equation
10(180-y) + 5y = 1225
1800 - 10y + 5y = 1225
-5y = -578
y = 115.6
this means that the second mechanic charges $115.60 per hour
to find the price per hour for the first mechanic, plug in (115.6) for y in the second equation
x + 115.6 = 180
x = 64.4
the first mechanic charges $64.40 an hour
