Answer:
38x² - 17x - 3
Step-by-step explanation:
The area of the shaded region is calculated as
area of outer rectangle - area of white rectangle, that is
(8x + 1)(5x - 3) - 2x(x - 1) ← expand (8x - 1)(5x - 3) using FOIL
= 40x² - 24x + 5x - 3 - 2x² + 2x ← collect like terms
= 40x² - 17x - 3
She buys 2 boxes each week for a year (there is 52 weeks in a year) = 2 x 52 = 104 boxes per year
if each box contains 8 granola bars...and she buys 104 boxes, then she buys:
104 * 8 = 832 granola bars
Answer: Devon, Tasha, Liza, Effon
Step-by-step explanation:
From the question, we are informed that four friends race their bikes down the street and that Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.
The order that shows the friends' times from fastest to slowest is:
• Devon
• Tasha
• Liza
• Effon
Devon used 6.0999 seconds which is the fastest time, after then Tasha comes next with 6.168 seconds, then Liza with 6.188 seconds and lastly Effon with 6.2 seconds
Since b = 3 the equation changes
5a - 10(3) = 45
5a - 30 = 45
(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15
and 
into the given expression 
. First off, we can plug in all the given values into the expression, giving us 
. Now, perform the operations on the inside of the parentheses. Doing this, we get 
. Now, we use the distributive property to simplify. This gives us 
. Finally, when we add the two numbers, we get 
. Hope this helped!