Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>
The number is 12
12 + 4 = 16
4 is a third of 12 and 12 + 4 = 16.
Answer:
4.5 hours
Step-by-step explanation:
So, let's write a function p(x) which represents the total cost.
Let's let x represent the amount of hours.
The cost of a piece is a constant 10.
And there is a $8 fee per hour. In other words:

We spent a total of $46.
So, substitute in 46 for p(x) and solve for x:

Subtract 10 from both sides:

Divide both sides by 8:

Reduce:

So, we spent about 4.5 hours.
Answer:
x = -25
x = infinite solutions
Step-by-step explanation for 1:
4(-25) - 10 = 5(-25) + 15
-100 - 10 = -125 + 15
-110 = -110
Step-by-step explanation for 2:
Both equations are the exact same. So whatever number you put, the answer will be right