x= A ticket
y=b ticket
x+y=500
10x+60y=6000
-------------------
10x+60y=6000
- x+y=500 (*10) ---> 10x+10y=5000
-------------------
10x+60y=6000
- 10x+10y=5000
-------------------
50y=1000
y=1000/50
y=20
b ticket =20
x+y=500
x+20=500
x=500-20
x=480
a ticket=480
answer is the last option ,
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of
.
In
we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let
be 'x' degrees .
So,
⇒ 
⇒ <em>Subtracting 83 from both sides.</em>
⇒ 
⇒ 
⇒
degrees
The measure of angle JKL in the triangle is of 97 degrees.
Let
. Recall the following identities,



Now,









QED
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52