The grade of the path in the mountain is calculated by determining first the ratio between the rise over the run and multiplying the ratio by 100%.
For Path A:
grade = (rise / run) x 100%
grade = (1414/ 3535) x 100% = 40%
<em>Answer: 40%</em>
For Path B:
grade = (rise / run) x 100%
grade = (4.26 m/ 22 m) x 100% = 19.36%
Answer: 19.36%
Answer:
20
Step-by-step explanation:
Let Shriya's current age b <em>x</em><em>.</em><em> </em>Arjun's current age will be <em>2</em><em>x</em>.
5 years ago, Arjun's age was <em>2</em><em>x</em><em>-</em><em>5</em><em> </em>and Shriya's age was <em>x</em><em>-</em><em>5</em><em>.</em>
Since Arjun's age was 3 times Shriya's age 5 years ago,
<em>2</em><em>x</em><em>-</em><em>5</em><em> </em>= <em>3</em><em> </em><em>(</em><em>x</em><em>-</em><em>5</em><em>)</em>
<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em>
<em>2</em><em>x</em><em> </em><em>=</em><em> </em><em>2</em><em>0</em>
Answer:
3
Step-by-step explanation:
7 -4 = 3
Put the given values in the formula

and evaluate.
z = (150 -160)/16 = -10/16
z = -5/8
The z-score for the score x=150 is -5/8 = -0.625.
Answer:


Step-by-step explanation:
, 
Replace all occurrences of
in
with 


Add
and 3.


Subtract 5x from both sides of the <u>equation.</u>


Subtract 5x from 3x.


Rewrite 1 as
.


Check that the middle <u>term</u> is two times the <u>product</u> of the numbers being squared in the first <u>term</u> and third <u>term</u>.
·
· 

Rewrite the <u>polynomial</u>.
·
·


Factor using the <u>perfect square</u>
<u>trinomial</u> rule 
where a = x and b = 1.


<u>Set</u> the
equal to 0.


Add 1 to both sides of the <u>equation</u>.


Replace all occurrences of
in
with 1.


