Find the dimensions of a shipping box given that the length is twice the width, the height is
$\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$ inches, and the volume is 1,600 in.
^{3} .
The formula for the volume of a box is given as
$\text{\hspace{0.17em}}V=LWH,$ the product of length, width, and height. We are given that
$\text{\hspace{0.17em}}L=2W,$ and
$\text{\hspace{0.17em}}H=8.\text{\hspace{0.17em}}$ The volume is
$\text{\hspace{0.17em}}\mathrm{1,600}\text{\hspace{0.17em}}$ cubic inches.
The dimensions are
$\text{\hspace{0.17em}}L=20\text{\hspace{0.17em}}$ in.,
$\text{\hspace{0.17em}}W=10\text{\hspace{0.17em}}$ in., and
$\text{\hspace{0.17em}}H=8\text{\hspace{0.17em}}$ in.
A linear equation can be used to solve for an unknown in a number problem. See
[link].
Applications can be written as mathematical problems by identifying known quantities and assigning a variable to unknown quantities. See
[link] .
There are many known formulas that can be used to solve applications. Distance problems, for example, are solved using the
$\text{\hspace{0.17em}}d=rt\text{\hspace{0.17em}}$ formula. See
[link] .
Many geometry problems are solved using the perimeter formula
$\text{\hspace{0.17em}}P=2L+2W,$ the area formula
$\text{\hspace{0.17em}}A=LW,$ or the volume formula
$\text{\hspace{0.17em}}V=LWH.\text{\hspace{0.17em}}$ See
[link],[link] , and
[link] .
Section exercises
Verbal
To set up a model linear equation to fit real-world applications, what should always be the first step?
Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading.
If the total amount of money you had to invest was $2,000 and you deposit
$\text{\hspace{0.17em}}x\text{\hspace{0.17em}}$ amount in one investment, how can you represent the remaining amount?
If a man sawed a 10-ft board into two sections and one section was
$\text{\hspace{0.17em}}n\text{\hspace{0.17em}}$ ft long, how long would the other section be in terms of
$\text{\hspace{0.17em}}n$ ?
For the following exercises, use the information to find a linear algebraic equation model to use to answer the question being asked.
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
Ben originally filled out 8 more applications than Henry. Then each boy filled out 3 additional applications, bringing the total to 28. How many applications did each boy originally fill out?
For the following exercises, use this scenario: Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and charges of $.05/min for calls. Company B has a monthly fee of $5 and charges $.10/min for calls.
how we can draw three triangles of distinctly different shapes. All the angles will be cutt off each triangle and placed side by side with vertices touching
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
Y
master
X2-2X+8-4X2+12X-20=0
(X2-4X2)+(-2X+12X)+(-20+8)= 0
-3X2+10X-12=0
3X2-10X+12=0
Use quadratic formula To find the answer
answer (5±Root11i)/3
master
Soo sorry (5±Root11* i)/3
master
x2-2x+8-4x2+12x-20
x2-4x2-2x+12x+8-20
-3x2+10x-12
now you can find the answer using quadratic
Mukhtar
2x²-6x+1=0
Ife
explain and give four example of hyperbolic function
I think the formula for calculating algebraic is the statement of the equality of two expression stimulate by a set of addition, multiplication, soustraction, division, raising to a power and extraction of Root. U believe by having those in the equation you will be in measure to calculate it