Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-
Multiplying 2 on both sides of (1), we get
Now, Eliminate equation (3) from equation (2), we get
Put x=1000 in (1), we get
Hence, 1000 hot dogs and and 1600 sodas were sold.
Answer:
the average time spend is 0.111
Step-by-step explanation:
The computation of the average time spend is as follows;
Arrival rate is
= 210 ÷ 10
= 21 per hour
Now the service rate is
= 60 ÷ service time
= 60 ÷ 2 minutes
= 30 per minute
And, finally the average time spend is
= 1 ÷ (service rate - arrival rate)
= 1 ÷ (30 - 21)
= 0.111
Hence, the average time spend is 0.111
Answer:
guaranteed to occur
Step-by-step explanation:
An event that has a probability of 1 or in other terms P(E) = 1 is said to be guaranteed to occur. This is basically stating that the event has a 100% chance of happening, meaning that no matter what the external factors turn out to be in the scenario, the event will occur regardless. 1 basically represents 100%, while lower values such as 0.5 represent 50% when dealing with these probabilities.
Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
1 pint = 2 cups
1 pint x 4 & 2 cups x 4
4 pints = 8 cups
9.12/8
1.14
$1.14 per cup
