The present age of Cesar is 38 years old
<em><u>Solution:</u></em>
Let the present age of Cesar be "a"
Let the present age of Hillary be "b"
<em><u>Cesar is 5 years older than Hillary</u></em>
Present age of Cesar = 5 + present age of Hillary
a = 5 + b ------ eqn 1
<em><u>In 9 years the sum of their ages will be 89</u></em>
Age of cesar after 9 years = a + 9
Age of hillary after 9 years = b + 9
Sum of their ages is 89
Therefore,
a + 9 + b + 9 = 89
a + b = 89 - 18
a + b = 71 -------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
5 + b + b = 71
5 + 2b = 71
2b = 66
b = 33
<em><u>Substitute b = 33 in eqn 1</u></em>
a = 5 + 33 = 38
Thus present age of Cesar is 38 years old
Answer:
The answer is $1.85
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- The cost of 5 chocolate bars = $5.75
- The cost of 2 chocolate bars and 3 packets of sweets = $7.85
<h3>
<u>To </u><u>Find</u>;</h3>
- The cost of one packet of sweets.
Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
Answer:
the answer is b
Step-by-step explanation:
Answer:
This is the math riddle for pi..
Step-by-step explanation:
They mean by this question, What do you get if you divide the circumference of a pumpkin pie by its diameter?
Pi is the ratio of circumference and the diameter. and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.
We don’t really need the diagram at this stage of course.
The internal angle is 180o−360o / 24=180o−15o =1 65o . Half of this is 82.5o . The perimeter is now 24x so we have:
24 x /h = 24 / tan(82.5o) Rather remarkably:
So tan(82.5o) =√+2 + √+3+√+4+√+6
24 x / h = 24 / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421
Taking a few more steps:...very long detail explanation.