Answer:
The answer is x units.
Step-by-step explanation:
We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:
length = x² units
volume = x³ units
We will use the formula below:
V = length x height
x³ = x² * height
height = x³/x units
height = x units
The answer is x units.
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Answer:
Billie's age = x = 17 years
Tony's age = y = 31 years
Step-by-step explanation:
Let
Billie's age = x
Tony's age = y
Twice Billie’s age decreased by 3 is Tony’s age.
y = 2x - 3..... Equation 1
Tony is fourteen years older than Billie.
x = y - 14
We substitute y - 14 for x in Equation 1
y = 2x - 3..... Equation 1
y = 2(y - 14) - 3
y = 2y - 28 - 3
y - 2y = -28 - 3
-y = -31
y = 31 years
Solving for x
x = y - 14
x = 31 - 14
x = 17 years.
Therefore:
Billie's age = x = 17 years
Tony's age = y = 31 years
The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
Answer:
Below.
Step-by-step explanation:
You find the values of y by substituting the values of x in the expression x^2 + 3x - 1.
So f(-4) = (-4)^2 + 3(-4) - 1 = 16-12-1 = 3
in the same way f(-3) = -1, f(-2) = -3, f(-1) = -3,
f(0) = -1 and f(1) = 3.
Now plot the points (-4, 3) , (-3, -1) and so on
Then you can read the values off this graph.
