Answer:
5/9
Step-by-step explanation:
total present = males + females = 60 + 48 = 108
The desired ratio is ...
males/total present = 60/108 = 5/9
Answer:
31 hours
Step-by-step explanation:
June and Stella can create 6 floral arrangements in one hour.
They take in 372 Valentine's Day order
No of hours = orders / (June's rate + Stella's rate)
June's rate = 6 arrangements / hour
Stella's rate = 6 arrangements / hour
June's rate + Stella's rate = 2(6 arrangements /hour)
= 12 arrangements / hour
No of hours = 372 arrangements / 12 arrangements / hour
= 31 hours
June and Stella have 31 hours to fulfill the 372 Valentine's Day order
By the word "dilation" we mean to say that the new measurement of the sides of the triangle A'B'C' is increased by a factor from the original measurement. To determine the scale factor of the dilation, we can divide the measurement of the sides of the new triangle by the measurement of the sides of the old one.
dilation factor = A'/A = B'/B = C'/C
1<span>, 4, 7, 10 is a sequence starting with </span>1<span>. You get the next </span>term<span> by adding 3 to the previous </span>term. You are often asked to find a formula for the nth term<span>. As the common difference is 3, try </span>3n<span>. When n = </span>1<span>, </span>3n<span> = 3, and we subtract 2 to make the first </span>term<span> correct.</span>
The roots are 
Step-by-step explanation:
The equation is 
Switch sides, we get,
Adding both sides by 20, we get,
Adding both sides by 
,
To solve this equation, let us assume 
and 
Thus, rewriting this equation,
Using quadratic formula, we get the value of u.
The variable u has two solutions,
and 
Since, and
Thus, substituting the u-values, we get,
and 
Thus, the roots are
