Answer:
-4g-3
------------
g+2
Step-by-step explanation:
g+1 5g+4
------------- - ------------------
g+2 g+2
Since the denominators are the same, subtract the numerators
g+1 - (5g+4)
Distribute the negative sign
g+1 -5g-4
-4g-3
Put this back over the denominator
-4g-3
------------
g+2
When it says that the cities are routed linearly, it means that these cities are located right next to each other. From the left, the order is Springfield, Clarksville, then Allentown. You have details on the number of gallons and the mileage. To get the distance travelled, just multiply the mileage with the gallons, to cancel out gallons leaving you with the distance in miles.
Now, since Molly travelled from Springfield to Allentown, the total distance she covered is the distance Edward travelled and the unknown distance between Springfield and Clarksville, denoted as x in the picture. So, the equation is then
Molly's distance = x + Edgar's distance
26 miles/gal(2 gal) = x + 17 miles/gal(1 gal)
x = 35 miles
Answer:
(a) 0.0152%
(b) 1.1663%
(c) 19.4297%
(d) 79.3787%
Step-by-step explanation:
Tickets bought by organizers = 4
Number of tickets = 55
Prizes = 3
(a) The probability that the four organizers win all of the prizes is:

(b) The probability that the four organizers win exactly two of the prizes is:

(c) The probability that the four organizers win exactly one of the prizes is:

(d) The probability that the four organizers win none of the prizes is:

Answer:
Option B.
Polygon JKLP maps to polygon MNOP through a rotation.
Step-by-step explanation:
The picture of the question in the attached figure
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
JK≅MN
KL≅NO
LP≅OP
JP≅MP
and
∠OPM≅∠LPJ
∠NOP≅∠KLP
∠ONM≅∠LKJ
∠NMP≅∠KJP
so
Polygon JKLP maps to polygon MNOP through a rotation clockwise around point P an angle equal to ∠JPM