Answer:
a) 10
b) The $40+5 dollars for every ticket
c) See below
Step-by-step explanation:
a)
1. Let t=number of tickets
2. Writing an equation
Breaking even means that you earn the same amount of money for both.
40 +5t=70+2t
3. Solving the equation
40 +5t=70+2t
5t-2t=70-40
3t=30
t=10
So the answer to a) is 10.
b)
1. Using an equation
We already know that there are 2 equations for this problem. (40+5t, 70+2t)
So, we will substitute 20 for t.
40+5*20=40+100=140
70+2t=70+2*20=110
2. Comparing equations
140>110, so the first offer is better
C)
The owner lets you choose how you get paid because one option will be better for you, as some days you might not sell many tickets (so you will go with the $70+2 tickets), or some days you might sell many tickets (you will choose the $40+5 dollars/ticket).
Answer:
hi!! so could you show me the question and I would be happy to answer!!
Property being demonstrated here is alternate angles.
Therefore, y = 60
Answer:
943
Step-by-step explanation:
21| 1000
| ----------
47 | 13
21-13=8
1000+8=1008
21|9999
|---------
476|3
9999-3=9996
1008,1029,...,9996
let n be number of terms
a=1008,d=21,l=9996
9996=1008+(n-1)21
9996-1008=(n-1)21
8988=(n-1)21
n-1=8988/21
n-1=428
n=428+1=429
again 15|1000
|---------
66|10
15-10=5
1000+5=1005
15|9999
| ---------
666|9
9999-9=9990
1005,1020,...,9990
a=1005,d=15,l=9990
let n be number of terms.
9990=1005+(n-1)15
9990-1005=(n-1)15
8985=(n-1)15
n-1=8985/15
n-1=599
n=599+1=600
21=3×7
15=3×5
L.C.M.=3×5×7=105
105)1000(9
-945
____
55
105-55=50
1000+50=1050
105)9999(
-945
---------
549
- 525
-------
24
-------
9999-24=9975
1050,1155,...,9975
let n be number of terms.
d=105
l=a+(n-1)d
9975=1050+(n-1)105
9975-1050=(n-1)105
8025=(n-1)105
n-1=8925/105
n-1=85
n=85+1=86
so there are 86 multiples of 21 and 15
(A∪B)=A+B-(A∩B)
multiples of 21 or 15=429+600-86=1029-86=943
Answer:
YX and WX
Step-by-step explanation:
In an isoceles triangle, the sides WX and YX are equal which also means you can assume angle W and angle Y are also equal.
