<span>5t=3b+660....and ... 2t+5b=450
from the first we can see that t=(3b+660)/5 and using this value in the second...
(6b+1320)/5+5b=450 making all have common denominator..
6b+1320+25b=2250
31b=930
b=30...and since 2t+5b=450
t=150</span>
Answer:
Jana had 8 oranges, and Jordan had 15 oranges.
Step-by-step explanation:
First, identify what you know:
1) In total, Jana and Jordan had 23 oranges.
2) Jana had 7 less oranges than Jordan.
We can create a formula, where x equals the number of oranges Jana has.
23 = x + (x + 7)
16 = x + x (subtracted 7 from both sides)
x = 8 (divided both sides by 2)
So, now we know Jana had 8 oranges, which is 7 less than Jordan.
8 + 7 = ?
? = 15
Jana had 8 oranges, while Jordan had 15, for a total of 23 oranges.
Answer:
85 pens
Step-by-step explanation:
The computation of the number of green pens sold is shown below;
As the number of black pens, red pens, and green pans is 3:5:6
And, the ratio of sold of black pens, red pens, and green pans is 7:3:4
So, the ratio of pens in a number of pens is
= 3 × 7 : 5 × 3 : 4 × 6
= 21: 15 : 24
= 7: 5 : 8
And, the total of 212 pens are sold
So, the number of green pens sold is
= 8 × 212 ÷ (7 + 5 + 8)
= 85 pens
. The series is divergent. To see this, first observe that the series ∑ 1/kn for n = 1 to ∞ is divergent for any integer k ≥ 2.
Now, if we pick a large integer for k, say k > 100, then for nearly all integers n it will be true that 1 > cos(n) > 1/k. Therefore, since ∑ 1/kn is divergent, ∑ cos(n)/n must also be divergent The *summation* is divergent, but the individual terms converge to the number 0.<span>by comparison test since cosn/n <= 1/n is convergent
and 1/n is divergent by harmonic series
so the series is conditionally converget </span>
