Answer:
Step-by-step explanation:
Given
Required
Find a
Take log of both sides
Apply law of logarithm
Divide both sides by a
Multiply both sides by -9
Apply law of logarithm
Cancel out log
Rewrite as:
Apply law of indices
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
Answer:
Density = 10,490 g/m³
Step-by-step explanation:
Density = mass ÷ volume
here mass = 73,430 g
volume = 7 m³
density = 73,430 ÷ 7
= 10490 g/m³
Density = 10,490 g/m³
Answer:
s = 13 - x
t = 
Step-by-step explanation:
To start out with:
s = 18
t = 18
Sue gives Tony x sweets
s = 18 - x
t = 18 + x
Sue then eats 5 of her sweets
s = 18 - x - 5 = 13 - x
t = 18 + x
Tony eats half of his sweets
s = 13 - x
t =
(Possible constraint that 
)
Answer:
see explanation
Step-by-step explanation:
Since KL = KM then the triangle is isosceles and the 2 base angles are congruent, that is
∠KLM = ∠KML, thus
y - 9 = x + 4 (add 9 from both sides )
y = x + 13 → (1)
The sum of the 3 angles in the triangle = 180°, thus
x + 4 + y - 9 + x + y + 3 = 180
2x + 2y - 2 = 180 ( add 2 to both sides )
2x + 2y = 182 → (2)
Substitute y = x + 13 into (2)
2x + 2(x + 13) = 182 ← distribute and simplify left side
2x + 2x + 26 = 182
4x + 26 = 182 ( subtract 26 from both sides )
4x = 156 ( divide both sides by 4 )
x = 39
Substitute x = 39 into (1)
y = 39 + 13 = 52
Hence
∠K = x + y + 3 = 39 + 52 + 3 = 94°
