Answer:
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that 
. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
2) The product property of logarithms states that 
. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of 
and 
. Apply the property as seen below and find the final answer.
So, the answer is .
Answer:
4/27
Female:15/27 female with an A:4/15
Male:12/27 male with an A:3/12
Answer=15/27 ×4/15
To solve this problem, let us first assign some variables.
Let us say that:
v1 = velocity of airplane = 180 mph
t1 = time travelled by airplane
v2 = velocity of jet = 330 mph
t2 = time travelled by jet
Since we know that distance is the product of velocity and
time, and that the distance travelled by the two must be equal for the jet to
catch up to the plane, hence:
v1 * t1 = v2 * t2
But we know that:
t1 = t2 + 1
Therefore:
180 (t2 + 1) = 330 t2
180 t2 + 180 = 330 t2
150 t2 = 180
t2 = 1.2 hours
<span>Therefore the jet can catch up to the plane after 1.2
hours it takes off.</span>
Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000
Since the catering fee of $150 is waived, we do not consider this figure in our analysis
There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.
Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:
80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)
80X = 8000
8X = 800
X =100
Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget
