For the first question: The equation would be set up as 30=1/2(12x) Then solve for x. (Or just plug that formula into Desmos)
Answer: x=5
Answer:
10 (?)
Step-by-step explanation:
6 during lunch + 4 during dinner would be 10. Not sure why you said lunch twice.
20% of the regular price was off.
So 80% of the regular price stayed on.
$33.96 was that 80% of the regular price.
(0.8) · (regular price) = $33.96
Divide both sides by (0.8).
Regular price = ($33.96) / (0.8)
<em>Regular price = $42.45</em>
Answer:
The extraneous solution is 4.
Step-by-step explanation:
First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:
-5 = 3x - 7
Collect like terms
-5 + 7 = 3x
2 = 3x
Divide both side by 3
x = 2/3.
Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:
(-5)^2 = (3x - 7)^2
25 = (3x - 7)(3x - 7)
25 = 9x^2 - 21x - 21x + 49
9x^2 - 42x + 49 - 25 = 0
9x^2 - 42x + 24 = 0
Solving by factorisation:
Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.
Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x
Now we can write the above equation as:
9x^2 - 42x + 24 = 0
9x^2 - 6x - 36x + 24 = 0
3x(3x - 2) - 12(3x - 2) = 0
(3x - 12)(3x - 2) = 0
3x - 12 = 0 or 3x - 2 = 0
3x = 12 or 3x = 2
x = 12/3 or x = 2/3
x = 4 or 2/3.
We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.
Therefore, the extraneous solution to the question is 4.
Answer: <u>The 2 roads are 1.25 miles apart.</u>
Step-by-step explanation:
If 1 inch equals .25 miles, then you need to multiply .25 by 5.
Use proportions. Make sure the miles are on the same "side" of the fraction. Side meaning the top or the bottom

1 times X equals 1x
.25 times 5 equals 1.25
1.25 divided by 1 equals 1.25.