Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:
where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is
Then the distance covered in the second part is 
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so
So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:
And therefore, the speed in the second part must be
Answer:
see explanation
Step-by-step explanation:
∠ PQX = 90° ( angle in a semicircle )
∠ PXQ = 42° ( alternate angle theorem )
Angle between tangent and diameter is right, thus
∠ XPQ = 90° - 42° = 48°
False, There are situations where 5.00$ off would be better than 20% off.
Answer: $9.81
Step-by-step explanation:
Here, Tiffany buys a basket of watermelons on sale for $9 before tax.
Therefore, Initial cost of a basket of watermelons = $9
And, he sales tax is 9%.
Therefore tax on a basket of watermelons,
9% of 9 = 
But, The total cost of a basket of watermelons = initial cost + tax
= 9+0.81=9.81
Therefore, Tiffany pays $9.81 for the basket of watermelons.
Answer:
1/3
Step-by-step explanation:
as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3
