Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.
Step-by-step explanation: Solution:
Let present age of:
Christopher =
x
yrs
Ishaan =
2
x
yrs ( given that Ishaan is 2 times as old as Christopher)
35 yrs ago:
Age of Christopher = (
x
- 35)yrs
Age of Ishaan = (
2
x
- 35) yrs
According to question, 35 yrs back, Ishaan was 7 times older than Christopher.
Therefore
7 X (
x
- 35) = (
2
x
- 35)
7
x
- 245 =
2
x
- 35
7
x
-
2
x
= 245 - 35
5
x
= 210
x
= 42
So present age of Christopher =
x
= 42 yrs
&
Present age of Ishaan =
2
x
= 84 yrs
Check your solution:
As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.
35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.
Answer:
The unit cost of one toy reindeer is $3 and the unit cost of one box of cookies is $2
Step-by-step explanation:
Let
x ----> the unit cost of one toy reindeer
y ----> the unit cost of one box of cookies
we know that
----> equation A
----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (3,2)
see the attached figure
therefore
The unit cost of one toy reindeer is $3 and the unit cost of one box of cookies is $2
The first one. is the right answer
Answer:
y ≈ 9.24
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos30° = 
= 
( multiply both sides by y )
y × cos30° = 8 ( divide both sides by cos30° )
y = 
≈ 9.24 ( to the nearest hundredth )
Answer:
4269
———— = 21.34500
200
Step-by-step explanation:
Step 1 :
4269
Simplify ————
50
Equation at the end of step 1 :
4269
———— ÷ 4
50
Step 2 :
4269
Divide ———— by 4
50
Final result :
4269
———— = 21.34500
200
Processing ends successfully
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