5(x - 6) + 4 = 7x - 4
5x - 30 + 4 = 7x - 4
5x - 26 = 7x - 4
5x - 26 + 4 = 7x
5x - 22 = 7x
-22 = 7x - 5x
-22 = 2x
-22 / 2 = x
-11 = x
x = -11 is the solution to the given equation
Answer:
D
Step-by-step explanation:
Remark
The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.
The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.
So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.
Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.
Proportion
AB / AC = AE/AD
Givens
AB = 10
AC = 18
AE = 8
AD = x + 8
Solution
Substitute the Givens into the Proportion.
10/18 = 8/(x + 8) Cross multiply
10(x + 8) = 8 * 18 Simplify both sides
10x + 80 = 144 Subtract 80 from both sides
10x + 80 - 80 = 144 - 80
10x = 64 Divide by 10
10x/10 = 64/10
Answer: x = 6.4
Answer:
The initial distance between Wade and Alexandra is 240ft.
They walk towards each other.
Alexandra walks twice as fast as Wade.
Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.
Then:
if Wade walks z ft, Alexandra walks 2*z ft.
So we have the equation:
Distance that Wade walked + Distance that Alexandra walked = 240ft
z + 2*z = 240ft
3*z = 240ft
z = 240ft/3 = 80ft
They will meet when Wade walks 80ft.
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d = 
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d =
d = 
= 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
Answer:
Nancy paid 2.98 per gallon of gasoline.
Step-by-step explanation:
The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:
ratio = total money / total gasoline
ratio = 10.43 / 3.5
ratio = 2.98 money / gallon
Nancy paid 2.98 per gallon of gasoline.
