Answer: Marc still owes $175
Step-by-step explanation:
Let x represent the cost of the rug.
Marc ordered a rug and gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. This means that the amount of money that he deposited
for the rug is
30/100 × x = 0.3 × x = 0.3x
If the deposit was $75, it means that
0.3x = 75
x = 75/0.3 = 250
The cost of the rug is $250
The amount that Marc still owes would be
250 - 75 = $175
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day
Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50
Answer: Our required probability is 0.067.
Step-by-step explanation:
Since we have given that
Number of days in a year = 365
Number of years = 10
So, Number of days in 10 years = 365 × 10 = 3650
Number of unprovoked shark bites in Florida = 246
so, Probability that there will be at least one unprovoked shark bite on a given day is given by
Hence, our required probability is 0.067.
