Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number.
The difference between the product of five and a number and three times the number
What is the algebraic expression?
Answers
Answer:
5x-3x = 2x
Step-by-step explanation:
"The difference" = the substraction of two numbers
(something) - (something)
"The difference between the product of five and a number"
By product means multiplication. So, the multiplication of five and a number. Before, you have been told to represent the number with "x", and thats what you will do now.
(5*x) = (5x)
(5x) - (something)
"The difference between the product of five and a number and three times the number"
With three times the number, we mean the same letter "x" & three times will be the amount of times we will multiply it. So, by the end we will have:
(5x)-(3x)
Now we just rest them
5x-3x= 2x
Hope it was helpful ;)
The difference between the product of five and a number and three times the number will be two times the number and algebraic expression will be 5x - 3x = 2x.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given that,
x is that number,
Five times the number = 5x
Three times the number = 3x
Now,
Difference ⇒ 5x - 3x = 2x
Hence "The algebraic expression is 5x - 3x = 2x and The difference between the product of five and a number and three times the number will be two times the number".
To learn more about expression,
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Required
Solve graphically
I've written the equations (above) and they are:
[tex]x + y \le 14[/tex]
[tex]2.75x + 1.25y = 30[/tex]
See attachment for graph.
The blue line represents [tex]2.75x + 1.25y = 30[/tex]
The shaded part of the graph represents [tex]x + y \le 14[/tex]
From the graph, the solution is:
[tex]x = 8.5[/tex]
[tex]y = 5.3[/tex]
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So you have to find out what x is
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Answers
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Step-by-step explanation:
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Answers
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
Learn more about the right angle triangle here:
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