Answer:
150 miles
Step-by-step explanation:
let m represent miles
$70 + .70m = $40 + .90m
subtract 40 from each side
$30 + .70m = .90m
subtract .70m from each side
$30 = .20m
divide both sides by .20
150 = m
Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13
A² + b² = c²
Where a and b are the legs and c is the hypotenuse
So, plug in 10 for one of the legs and 24 for the other leg
c will be left blank because that is what you are trying to find, the hypotenuse
10² + 24² = c²
100 + 576 = c²
676 = c²
Take the square root of both sides of the equation to isolate c
√676 = √c²
Square of c and the square root cross out on the right
Take the square root of 676
c = 26
So, the length of the hypotenuse is 26 centimeters
43x-3214 should be the answer