Answer:
6 1/3 yards = 19 feet
Step-by-step explanation:
1 yard = 3 feet
So we'll take the number of yards and multiply that by 3
6 yards x 3 feet/yard = 18 feet
for the 1/3 of a yard, you can either ask, "what's 1/3 of 3?" (= 1) or you can multiply 1/3 yard x 3 feet/yard = 1 foot.
Add up the parts, 18 + 1 = 19 feet
Answer:
its D
Step-by-step explanation:
Answer:
n = 133
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is ...
Sn = n(2·a1 +d(n -1))/2
You want ...
n(10 +1/2(n -1))/2 > 5000 . . . . . filling in a1=5, d=1/2
(n^2 +19n)/4 > 5000 . . . . . . . . .simplify
n^2 +19n -20000 > 0 . . . . . . . write in standard form
We can solve this quadratic using the quadratic formula ...
n > (-19 +√(19^2 -4(1)(-20000)))/2 = (-19 +√80361)/2 ≈ 132.24
The least value of n such that the sum of n terms exceeds 5000 is ...
n = 133.
You have defined x to be the smaller of two consecutive integers. Then the larger will be (x+1). The given relation is
... (x) + 3(x+1) = -5 . . . . the smaller plus 3 times the larger is -5
... 4x + 3 = -5 . . . . . . . .simplify
... 4x = -8 . . . . . . . . . . subtract 3
... x = -2 . . . . . . . . . . . divide by the coefficient of x
The smaller of the two integers is -2.
