Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So, 
(equation 1)
x = 38-y
Since, a perfect score is 100 points.
So, 
(equation 2)
Substituting the value of 'x', we get
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.
Answer:
14
Step-by-step explanation:
11 - n = -3
-n = -3 - 11 = -14
n = 14
OR
add n to both sides of equation and add 3 to both sides of equation:
11 - n + n + 3 = -3 + n + 3 ----> n = 14
Answer:
18 hours
Step-by-step explanation:
$1476 / $82 = 18
18 hours
Answer: Choice B
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Explanation:
The two rules we use are
When applying the first rule to the expression your teacher gave you, we can say that:
Then applying the second rule lets us say
Therefore,
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In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
Answer:
The base angles are 36° each
Step-by-step explanation:
An isosceles triangle is a triangle that has two of its sides and base angles to be equal.
If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.
Since the sum of angles in a triangle is 180°
The remaining angle in the triangle = 180°-108°
= 72°
Since the base angles are equal, this remaining two angles will share angle 72° equally.
The base angles = 72°/2
The base angles = 36°
This shows that the base angles are 36° each.
