Answer:
6.25 pounds used
3.75 pounds lelft
Step-by-step explanation:
10 pounds/8=1.25 pounds
1.25 x 5 = 6.25pounds used
10 - 6.25 = 3.75 pounds left
Answer and explanation:
Please find answer and explanation attached
Answer:they will drive 500 miles each day.
Step-by-step explanation:
The Thompson family is traveling 1,500 miles to visit relatives. They plan to drive the same distance each day.
Let x represent the distance that they travel each day. If the Thompsons make the trip in 3 days, it means that the total distance that they travelled in 3 days would be
3 × x = 3x miles
Therefore , the distance that they will drive each day would be
3x = 1500
Dividing both sides of the equation by 3, it becomes
3x/3 = 1500/3
x = 500 miles
As the camera was at 25% of the original price, this means you've got to multiply this number to by 4 to get the original price.
167*4= 668
Therefore, the camera's regular price is $668
Hope this helps :)
Answer:
Step-by-step explanation:
To prove sin(a+b)*sin(a-b)=cos^2b-cos^2a
we simplify the left side sin(a+b)*sin(a-b) first
sin(a+b) = sin a cos b + cos a sin b
sin(a-b) = sin a cos b - cos a sin b
sin(a+b)*sin(a-b) = (sin a cos b + cos a sin b) x (sin a cos b -cos a sin b)
sin a cos b((sin a cos b + cos a sin b) - cos a sin b (sin a cos b + cos a sin b)
open the bracket
sin a cos b(sin a cos b) + sin a cos b(cos a sin b) -cos a sin b (sin a cos b)+ cos a sin b ( cos a sin b)
sin²a cos²b + sin a cos b cos a sin b - cos a sin b sin a cos b + cos²a sin²b
sin²a cos²b + 0 + cos²a sin²b
sin²a cos²b + cos²a sin²b
- sin²a = 1-cos² a
- sin²b = 1-cos² b
(1-cos² a)cos² b - cos² a(1-cos² b)
= cos² b - cos² a cos² b - cos² a +cos² a cos² b
cos² b - cos² a - cos² a cos² b + cos² a cos² b = cos² b - cos² a + 0
cos² b - cos² a
left hand side equals right hand side
