When a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475
The combined cost of a washer and a dryer = $995
Consider the cost of a dryer as x
The washer cost $45 more than the dryer.
The cost of the washer = x+45
Then the equation will be
x+x+45 = 995
2x+45 = 995
2x = 950
x = 950/2
x = 475
The cost of the dryer is $475
Hence, when a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475
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The answer is 4 and four-fifths.
A box of donuts would cost: b = 3.84 + 0.18f
First, we have to find the total cost of the donuts.
12 x 0.32 = 3.84
Next, we need to determine the cost of the box. However, we don't know the surface area, just the cost per foot. We can multiply the number of square feet of the box by $0.18 to find the cost.
So our equation could be: b = 3.84 + 0.18f (where f is the surface area of the box in square feet)
Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Then it would be 10-5 < 7
so if you solved it it would be 5 < 7
So this statement is true
