Answer:
The price of the computer is $1,152
Step-by-step explanation:
Let the price of the computer be $x
The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8
The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48
Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696
Mathematically, this can be represented as;
7x/8 + 35x/48 = x + 696
(42x + 35x)/48 = (x + 696)
77x/48 = (x + 696)
77x = 48(x + 696)
77x = 48x + 33408
77x - 48x = 33408
29x = 33, 408
x = 33,408/29
x = $1,152
We can form this algebraic equation to work the equation out:
16 + 2x = -24
2x = -40
x - 20
Hope I helped.
Answer:
With what? I don't see the question.....
Answer:
All real numbers; the simplification is described below.
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!
5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13
See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.
-15x - 10 - x + 3 = -16x - 20 + 13
Now we can combine like terms! I will bold the terms I am combining.
-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)
-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)
-16x - 7 = -16x - 7
Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:
-16(1) - 7 = -16(1) - 7
-16 - 7 = -16 - 7
-21 = -21
Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.
