The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x^2
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
Answer:
Step-by-step explanation:
8x = 9x - 7
-x = -7
x = 7
9(7)-7= 63-7=56
8(7)= 56
13y+7+56=180
13y+63=180
13y=117
y=9
13(9)+7= 117+7= 124
5y-11+56=90
5y+45=90
5y=45
y=9
5(9)-11+9(7)-7= z
45-11+63-7=z
34+56=z
90=z
Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:

per minute
Total number of flashcards (y) in x minutes is:



Ruben:
per minute
Total number of flashcards (y) in x minutes is:



Solution to Equations:
Time they have the same amount.
To do this, we
expressions
i.e.

Collect Like Terms


Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.



or




Answer:
(m-2)(m+2)
Step-by-step explanation:
a²-b²=(a-b)(a+b)
let m be a and 2 be b
m^2-2²=(m-2)(m+2)