Answer:
B : 0.7
Step-by-step explanation:
Given:
Doug lives 7. Block away from his school.
Each block is about 265 feet long.
Question asked:
What is total round-trip distance,in miles that Doug walks to and from school each day ?
Solution:
Each block is about = 265 feet
7 Block = 
As he lives 7 block away from his school that means his round trip distance is,
7 block ( travel during going to school ) + 7 block ( when return from school )
<em>Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.</em>
Now, we have to convert it into miles as here asked: (unitary method)
5280 feet = 1 mile
1 feet = 
3710 feet = 
= 
Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.
Answer:
15.

16. 10 ml of 20% saline and 40 ml of 10% saline
Step-by-step explanation:
A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes
x + y ml that is 50 ml, so

There are
ml of salt in x ml of 20% saline and
ml of salt in 10% saline. There are
ml of salt in 50 ml of 12% saline. Thus,

15. We get the system of two equations:

16. Solve this system. From the first equation:

Substitute it into the second equation:

Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by

where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
Answer:
The value is 
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is 
The bearing from B to A is 
The bearing from A to B is 
The bearing from A to C is 
Generally from the diagram

=> 
Also

and

=> 
=> 
Generally according to Sine Rule

=>
So

=> 
Also


Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
![k = [CA +BC] - AB](https://tex.z-dn.net/?f=k%20%3D%20%5BCA%20%2BBC%5D%20%20-%20AB%20)
=> ![k = [260 .1 +316.8]- 467.3](https://tex.z-dn.net/?f=%20k%20%3D%20%5B260%20.1%20%2B316.8%5D-%20467.3%20)
=> 