Middle option.
<span>(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
If you work both sides separately you get
</span>(x ≤ 0) ∩ (x ≥ 0)
<span>
which reduces nicely to
</span><span>{x | x = 0}</span>
Answer:
Katherine: 920
Crystal: 552
Step-by-step explanation:
The total amount earned by each is 1472
The ratio of the earnings is Katherine / Crustal = 5/3
The total number of shares = 5 + 3 = 8
So the proportion for Katherine
5/8 = x / 1472 Cross multiply
8x = 5 * 1472
8x = 7360
x = 7360/8
x = 920
And the proportion for Crystal is
3/8 = x / 1472 Cross multiply
8x = 3 * 1472
8x = 4416
x = 4416 / 8
x = 552
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
They sold
20 Roses and 20 Carnations
Step-by-step explanation:
The total sales of 40 flowers is $100 not $10 as in the question
Roses=$3
Carnations=$2
Total flowers sold=40
Total sales=$10
Let Roses=r
Carnations=c
c+r=40. (1)
3r+2c=100 (2)
From (1)
c=40-r
Substitute c=40-r into (2)
3r+2c=100
3r+2(40-r)=100
3r+80-2r=10
r=100-80
r=20
Substitute r=20 into (1)
c+r=40
c+20=40
c=40-20
=20
c=20
r=20
Check:
3r+2c=100
3(20)+2(20)=100
60+40=100
100=100
