Answer:
√213 > 14(⅖) > 14.33
Step-by-step explanation:
√213 = 14.59
14(⅖) = 14.4
14.33 = 14.33
Smallest = 14.33
Greatest number = √213
Answer:
D. 75x+160<760
Step-by-step explanation:
The reason is 75 has to be a variable because it changes with time. The fee is a fixed rate that will not change no matter the time. All of these values must be less than 760 meaning the variable and constant must be less than (<) 760
Answer:
a) 6 gigabytes
b) $100
Step-by-step explanation:
Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
For the first smartphone
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.
Equation =
c = 52 + 8d
For the Second smartphone
A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.
Equation =>
c = 82 + 3d
How many gigabytes would have to be used for the plans to cost the same?
We would equate both cost to each other
52 + 8d = 82 + 3d
Collect like terms
8d - 3d = 82 - 52
5d = 30
d = 30/5
d = 6
Therefore,
a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.
b) The cost of both plans if 6 gigabytes is used =>
c = 52 + 8d
c = 52 + 8 × 6
c = $100
Answer: 6.25
create a ratio of 2.5/2 = x/5 and solve for x. First multiple both sides by 10 so you get 12.5 = 2x. Then you get x = 6.25.
Answer:
x=4
Step-by-step explanation:
6^x = 1296
Take the log base 6 on each side
log6(6^x) = log6(1296)
Rewrite 1296 as 6^4
x = log 6(6^4)
We know that log( a^b) = b log (a)
x = 4 log6(6)
We know that loga(a) =1
x = 4 *a
x =4