Answer:6
Step-by-step explanation:
Answer:
Step-by-step explanation:
A full circle consists of 360°, so we can write the fraction of this arc as
, which can be simplified to
by dividing the numerator and denominator by 30.
**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!
Answer:
There are approximately 88 adults.
Step-by-step explanation:
The question is:
A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults
.
Solution:
Total number of people attending the fair is, <em>N</em> = 350.
The proportion of adults is: P (Adults) = <em>p</em> = 0.25.
Compute the number of adults in the fair as follows:


Thus, there are approximately 88 adults.
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5