Answer:
Step-by-step explanation:
Keep the variables in the left side & rest in the left side:
(2/5) of (2/3) of students = 4/15 of students study French. Then 1-(4/15) = 11/15 of students do not study French. The ratio you want is
(4/15):(11/15) = 4:11
_____
In a math expression "of" means "times".
Answer:
The hypotenuse is 68
Step-by-step explanation:
To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem
c² = a² + b²
where c = hypotenuse, a = height, 32 and b = width, 60
Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have
c² = 32² + 60²
c² = 1024 + 3600
c² = 4624
c = √4624
c = 68
Answer:
x(t) = –5 + 6t; y(t) = 3 – 9t
Step-by-step explanation:
Answer:
93,675
Step-by-step explanation:
We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.
The number of terms in the sequence (n) can be found from the formula for the n-th term:
an = a1 +d(n -1)
(an -an)/d +1 = n
(252 -997)/(-5) +1 = n = 150
The sum of these terms is the average of the first and last terms, multiplied by the number of terms:
S150 = (997 +252)/2·150 = 93,675
The sequence sum is 93,675.
