Answer: 348.8 miles on 16 gallons of gas
Step-by-step explanation:
Make the following proportion:
= 
Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.
Use basic algebraic skills and you should get 348.8 miles.
Answer:
question 6:
+ 9x + 14 and (x + 2) (x + 7)
question 7:
- 7x + 10 and (x - 2)(x - 5)
question 8:
- 9x + 20 and (x - 4)(x - 5)
question 9:
(x + 1) (x - 17)
- 17x + 1x - 17
- 16x - 17
question 10:
(x - 1) (x + 17)
+ 17x - 1x - 17
+ 16x - 17
<span>solve the equation ax – c = bx + d for x:
1) Group the x terms together on the left: ax - bx - c = d
2) Group the constant terms together: ax - bx = c + d
3) factor out x: x(a - b) = c + d
4) Divide both sides of the equation by (a - b) to obtain a formula for x:
c+d
</span> x(a - b) = c + d => x = ---------
a-b
This shows that the given equation CAN be solved for x, but there is a restriction: a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).
Where is Victoria's solution? Please share it if you want to discuss this problem further. Thank you.
Answer:
x = 11
y = 2
n = 4
Step-by-step explanation:
Three equations
Look for x
Look for y
Look for n
__________________
Note that all of these are questions can be answered through isolating the variable.
Let's start with x :
Get x alone :
2(x + 5) = 3x + 1
Distribute :
(2(x) + 2(5))
2x + 10 = 3x - 1
Add 1 to both sides of the equation :
2x + 11 = 3x
Subtract 2x from both sides :
11 = x
x = 11
Next is y :
Isolate y :
3y - 4 = 6 - 2y
Add 4 to both sides :
3y = 10 - 2y
Add 2y to both sides :
5y = 10
Divide 5 from both sides to get y by itself :
y = 2
Lastly is n :
Isolate n :
3(n + 2) = 9(6 - n)
Distribute :
(3(n) + 3(2)) = (9(6) - 9(n))
3n + 6 = 54 - 9n
Subtract 54 from both sides :
3n - 48 = -9n
Subtract 3n from both sides :
-48 = -12n
-12n = -48
Divide -12 from both sides :
n = 4
