Answer:
the correct solution is -8x + 9.
Step-by-step explanation:
The triangle inequality applies.
In order for ACD to be a triangle, AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
Answer:
2x - 0.4x ;
8x/5 ;
Yes
Step-by-step explanation:
Let number of miles = x
Arlene:
Double number of miles = 2 * x = 2x
Subtract 20% of the result :
2x - 20% of 2x ;
2x - 0.4x
Raul:
Divides Number of miles by 5 ; x / 5
Multiplies result by 8 ;
8 * (x/5) = 8x /5
To know if expressions are equivalent :
Let x = 10 miles
Using Arlene's expression:
2x - 0.4x
x = 10
2(10) - 0.4(10) = 16
Using Raul's expression :
8x / 5
(8*10) / 5
80/5
= 16
Since they give the same result, we can conclude that the expression are equivalent
y = total cost used.
x = additional minutes
y = $49.95 + $0.15x
$61.20 = $49.95 + $0.15x. Subtract the $49.95 from each side.
$11.25 = $0.15x. Divide each side by $0.15
75 = x.
Michael used 75 additional minutes.
Answer: ![\boxed {12.69 inches}](https://tex.z-dn.net/?f=%5Cboxed%20%7B12.69%20inches%7D)
Step-by-step explanation:
<u>Given information</u>
Red pencil = 4.32 inches
Blue pencil = 6.1 inches
Green pencil = 2.27 inches
<u>Expression deducted from the question</u>
Total length = Red pencil + Blue pencil + Green pencil
<u>Substitute values into the expression</u>
Total length = (4.32) + (6.1) + (2.27)
<u>Simplify by addition</u>
Total length = 10.42 + 2.27
Total length = 12.69 inches
Hope this helps!! :)
Please let me know if you have any questions