Answer:
134/300 or 67/150
Step-by-step explanation:
the LCM of 15 and 100 is 300. 15 *20 is 300 so we multiply both the numerator and denominator of 1/15 by 20 to get 20/300, with 38/100 we multiply by 3 to get 114/300. Now we add 20/300 and 114/300 to get 134/300 which has a common factor of 2 so we can simply it to 67/150
Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.
...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.
The value of k is 1.
Putting k=1 in (i), we get
Therefore, the variation constant is 1 and the equation of variation is .
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.