Answer:
<em>Thus, the original price of the pair of shoes was $100.</em>
Step-by-step explanation:
<u>Percentages</u>
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
Nikita's distance from her for the second part of the race was 1.5 kilometers.
Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:
- 8.75 x 0.65 + 6 x 0 = 5.68
- 8.75 x 0.50 + 6 x 0.15 = 5.275
- 8.75 x 0.40 + 6 x 0.25 = 5
-
100 = 60
- 40 = X
- 40 x 60/100 = X
- 24 = X
- 39 - 24 = 15
- 15 = 1/4 hour
- 6/4 = 1.5
Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.
Learn more about maths in brainly.com/question/22791791
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Answer:
Step-by-step explanation:
<u>Given</u>
<u />
<u>Step 1: Combine Like Terms on LHS</u>
<u />
<u>Step 2: Subtract 11 on both sides</u>
<u />
<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>
<u />
<u>Final Answer</u>
<u />
Answer:
(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)
=28
