Answer:
Step-by-step explanation:
The number of bottles in a full box is 12.
<u><em>Explanation</em></u>
Suppose, the number of bottles in a full box is
So, the number of bottles in <u>three</u> full boxes
Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes
As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....
Thus, the number of bottles in a full box is 12.
17 pieces of ribbon can be created if i calculated correctly.
Answer:
Step-by-step explanation:
First, let's find the value of x.
Note that the two equations with the x are alternate interior angles. Therefore, their angle measures are equivalent. So, we can write the following equation:
Solve for x. Let's add 38 to both sides:
Subtract 3x from both sides:
Divide both sides by 2. So, the value of x is:
We can see that we have a right triangle.
The sum of the three interior angles of a triangle is always 180. Therefore, we can write that:
Since we already know that x is 17, substitute 17 for x. This yields:
Now, we can solve for y. Multiply:
Combine like terms:
Evaluate:
Subtract 117 from both sides:
Divide both sides by 7. So, the value of y is:
And we're done!
Knowing that a quadratic equation has two possible solutions, we need to be careful when we solve exponential equations in checking for any quadratic one that appears. Due to 2 possible solutions,
Hope I helped :)