The answer is: if x represents the number of pencils per box, solve the equation 8x+4=196
Answer:

Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

Since we know their equations, substitute:

Solve for x. Combine like terms on the left:

Subtract 9 from both sides:

Divide both sides by 9:

So, the value of x is 9.
We want to find A. So, let's use the equation for A:

Substitute 9 for x:

Add:

So, the measure of A is 17°.
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
9514 1404 393
Answer:
focus: (0, -5.5)
directrix: y = 5.5
Step-by-step explanation:
The equation compares to the form ...
x² = 4py
where 4p = -22 ⇒ p = -22/4 = -5.5.
The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).
The directrix is above the vertex by the same amount, so is y = 5.5.
Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39