Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be <u>w = 2.4 inches.</u>
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer:
x = 
Step-by-step explanation:
<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>
x + 2y = 6 ---------------(1)
y - 5 = 
---------------(2)
y = + 5 ---------------(3)
Substitute (3) in (1) ,
x + 2( + 5 ) = 6
=
x + 2( 
+ 5 ) = 6
--------------(4)
The roots of the quadratic equation 
is
x = 
-----------(5)
According to equation (5),solution of (4) is
x = 
x = 
x =
I think that the number of times you drink all the water in your bottle is independent, because the number of liters you drink depends on how much there is.
Independent- the number of times you drink all the water in your bottle
Dependent- the number of liters you drink
If 5 consecutive integers is 205,
then a + b + c + d + e = 205
but also, each integer is separated by a difference of 1
⇒ a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒ 5a + 10 = 205
⇒ 5a = 195
⇒ a = 39
∴ third term = 39 + 2
= 41
