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gregori [183]
2 years ago
8

Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza.He pays a total of $42.Which equation can be used t

o find the price,x, of each pizza?

Mathematics
1 answer:
ad-work [718]2 years ago
7 0

Answer:

3(x+2)=42

Step-by-step explanation:

So lets go over what we know:

There are 3 large pizzas

Each pizza has a addition cost of 2 dollars

The total cost is 42 dollars

We need to find the cost per pizza.

Now lets piece together our equation.

We know that the pizzas equal 42 dollars so we can immediately put 42 on the opposite side of the equal side:

=42

We also know that each of the 3 pizzas cost 2 dollars. This would go on the left side of the equation:

6=42
Now, we know x is the amount of pizzas. There are 3 pizzas, or in other words, 3x. We can add this to the left side of the equation, because the 3 pizzas plus the 6 dollars equals the total of 42 dollars:

3x+6=42

There are no answers above that look like this, however. This is because we have to factor the left side of the equation.

A factor of both 3 and 6 is 3. So we can factor out 3 and we get:

3(x+2)=42

This looks like the first answer!
Hope this helps! :3

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
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<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

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\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

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