Which expression is equivalent to 4(6x + 12) a) 68 b) 68x c) 24x + 48 d) 24x + 12
2 answers:
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If the unknown value is x, then x = × 6 = 21.
Explanation:
- Since it is a double number line with a ratio, all the ratios of one number line to the other will remain equal for all the values along both the number lines. Assume the unknown value to be x.
- The ratio of the number on the first number line to the corresponding number on the second number line is calculated to be;
=
=
=
=
= 3.5. So
- We can also calculate x by the following method. As ratios are equal we can directly substitute the value to another ration. So
= 21.
<span>4(2x - 5) = 4
8x - 20 = 4
8x = 4 + 20
8x = 24
x = </span>
x = 3
Part A:
This equation has only one solution. {Working shown above}
Part B:
The solution is x = 3. {Working shown above}
8x - 20 = 4
8x = 4 + 20
8x = 24
x = </span>
x = 3
Part A:
This equation has only one solution. {Working shown above}
Part B:
The solution is x = 3. {Working shown above}