Answer:
15%
Step-by-step explanation:
The cost of 2 adults and 2 children without the discount is
2 adults = 2 (55) = 110
2 children = 2 (45) = 90
Total cost = 110+90 = 200
The original price is 200 and the new price is 170
Percentage discount = (Original price - new price)/ original price * 100%
= (200-170)/200 * 100%
= 30/200 * 100%
= .15 * 100%
= 15%
Answer:
Step-by-step explanation:
As the statement is ‘‘if and only if’’ we need to prove two implications
is surjective implies there exists a function
such that
.- If there exists a function
such that
, then
is surjective
Let us start by the first implication.
Our hypothesis is that the function
is surjective. From this we know that for every
there exist, at least, one
such that
.
Now, define the sets
. Notice that the set
is the pre-image of the element
. Also, from the fact that
is a function we deduce that
, and because
the sets
are no empty.
From each set
choose only one element
, and notice that
.
So, we can define the function
as
. It is no difficult to conclude that
. With this we have that
, and the prove is complete.
Now, let us prove the second implication.
We have that there exists a function
such that
.
Take an element
, then
. Now, write
and notice that
. Also, with this we have that
.
So, for every element
we have found that an element
(recall that
) such that
, which is equivalent to the fact that
is surjective. Therefore, the prove is complete.
A rhombus is related to a “Parallelogram”
Why? - because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram.
hope this helped <3
Answer:
initial cost per issue=$2
after subscription cost per issue=$1.6.
Step-by-step explanation:
Initially , Mei subscribed $24 for 12 issues for a magazine .When Mei used a coupen then 3 free bonus issues added to her subcsription .Therefore we can see the coupon reduces the cost per issue of Mei's subscription. Before use of coupon the cost of each issue is $2 and after added 3 more issue of coupon then the cost per issue is $1.6
<span>If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)</span>