Answer:
2:30 pm
Step-by-step explanation:
In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.
From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.
<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>
<em>90/20 = 4.5 hours</em>
<em />
<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>
The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
For more references on supplementary angles, click;
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Answer: half year
Step-by-step explanation:
The formula to find the simple interest is given by :-
, , where P is the principal amount , r is the rate of interest and t is the time in year.
Given : I=420 ; r=14%=0.14 and P =$6000
Then, we have the following equation :-
It means the duration of the loan is half year .
Answer:
c. 
d. 
Step-by-step explanation:
For this exercise you need to remember the following:
1. The multiplication of signs:
2. The Product of powers property, which states that:
3. The Distributive property:
Knowing that, you can solve the multiplication of the polynomials:
c. 
d. 
