Answer:
Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Step-by-step explanation:
First, we need to <em>divide</em> 927.8 miles by 5.
927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.
Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.
185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.
Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.
168.26 x 5 = 841.3
Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Answer: 4
Step-by-step explanation:
4x+y=10
4x+(-6)=10
4x-6=10
4x=10+6
4x=16
x=16/4
x=4
Answer:
A) x = 2
Step-by-step explanation:
I am not sure but I think this means...
2x + 5 = 3x - 3
5 = 3x - 3 + 2x
5 + 3 = 3x + 2x
8 = 5x
8/5 or 1.6 = x
X= increased amount
L= length
W= width
The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.
L= 12 + x
W= 14 + x
L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses
(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288
x^2 + 26x + 168= 288
subtract 288 from both sides
x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120
(x - 4) (x + 30)= 0
set each number equal to zero
x - 4= 0
x= 4
x + 30= 0
x= -30
ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.
Hope this helps! :)