Answer:
160+3x=195-2x
Step-by-step explanation:
So if Nick is 160 lbs and Adam 195, and Nick is gaining 3 pounds per week and Adam is losing 2 pounds per week then you have to use a variable to find the unknown which is the number of weeks. So a gain is positive or addition and a loss is negative of subtraction. Then to solve it put the variables together and the numbers together. The opposite of -2x is 2x so 3x plus 2x and 195 plus the opposite of 160 which is -160 then solve for x.
Answer:I don’t know this one sorry
Step-by-step explanation:
You were probably given a number to plug into the equation , which is no different then it being y=x-4 , just solve for the f(x)
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
$198,000
Step-by-step explanation:
Since Mr. and Mrs. Suralbo are married and filing jointly, they would fall into the tax slab of 35% as their taxable income ranges between $414,701 to $622,050.
Taxable income = $568,986
Tax rate = 35%
Income tax due = $568,000 * 35/100
= $198,000
Thus, the income tax due for Mr. and Mrs. Suralbo would be $198,000.
