Answer:
Step-by-step explanation:
Given
There are 9 people going on a trip
They purchased coach tickets =$160
first class tickets =$1180
total budget to spend = $4500
Let coach tickets=X
So first class tickets=9-x
160x+1180(9-x)=4500
160+10620-1180x=4500
160x-1180x=4500-10620
-1020x=-6120
X=6120/1020
X=6
So answer
Coach tickets=X=6
First class tickets=(9-x)
=3.
Step-by-step explanation:
m=-2
m^2+9m+3
substitute-2 in m
-2^2+9(-2)+3
= -19
The first and crucial thing we want to take notice is that the lines DF and EG intersect at point H which creates 4 different triangles in the rhombus. The innermost angles of DGH and EFH are vertical angles and vertical angles are congruent. So if the angles of the triangles are congruent than the triangles themselves are congruent. This is supported by the vertical angles theorem.
Answer:
98 cats and 19 dogs
Step-by-step explanation:
cat = c
dog = d
The animal shelter currently has a total of 117 animals
c + d = 117
c = 117 - d
the number of cats is 3 more than 5 times the number of dogs
c = 3 + 5d
subtitute c
117 - d = 3 + 5d
117 - 3 = 5d + d
114 = 6d
6d = 114
d = 114/6 = 19
so, the cat is 117-19 = 98
