A local television station sells time slots for programs in 30-minute intervals. If the station operates 24hrs per day, every day of the week, what is the total number of 30-minute time slots the station can sell for tuesday and wednesday?
Answers
The local television station can sell 96 of 30-minute time slots on Tuesday and Wednesday.
What are equation models?
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
For Tuesday and Wednesday,
The number of minutes = days × hours × minutes.
Now, television stations sell time slots for programs in 30 minutes.
Number of 30-minute slots for days Tuesday and Wednesday
= days × hours × minutes / 30
= 2 × 24 × 60 / 30
= 4×24
= 96 slots
Thus, the local television station can sell 96 slots of 30-minute time slots on Tuesday and Wednesday.
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30 minutes times 48 since one day is 24 hours times that by 2 to get 48.
48 times 30 is 1440.
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A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amounts of money he may have after he sees Rita?
Answers
Answer: 37
Step-by-step explanation:
First, we need to find what h(-8) is. We can do this by substituting and simplifying the given function.
Given:
h(x) = x² - 5x +7
Substitute:
h(-8) = (-8)² - 5(-8) +7
Square and multiply:
h(-8) = 64 + 40 +7
Add:
h(-8) = 111
Next, we can find one-third of this. To do this, we will multiply.
Multiply:
(1/3) * 111 = 37
Answers
Answer:
y = - x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = - x - 3 ← equation of perpendicular line
Answers
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?
The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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Answer:
or d = 3.61
Step-by-step explanation:
2y – 4x =
a. –10
b. –5
c. 5
d. 10
Answers
Answer:
-10
Step-by-step explanation:
what is the vertex function of
y=-3(x - 1)² +2
Answers
transformation: 1 unit right 2 units up
vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite
maximum/minimum: maximum
range: (-∞, ∞)
domain: y ≥2
Answers
gabe has completed 2/9 lap
so
1 j lap=7 mins s o
7j
j=num of laps
1 g lap=9 mins so
9g
g=num of laps
then 6+j
and g+2
so
when will the times be equal
7j+6=9g+2
subtract 2 from both sides
7j+4=9g
divide both sides by 9
7/9j+4/9=g
so to get a whole number of laps, we must subsitute a number when it is multiplied by 7 then add 4, we get a multiplue of 9
so if j=2
7/9(2)+4/9=g=14/9+4/9=g=18/9=g=2
so josh and gabe must run 2 lap each because
6+(2 times 7)=2+(9 times 2)
6+14=2+18
20=20
true so
the answer is 2 laps
Josh's speed is 1 lap/7 min
Gabe's speed is 1 lap/9 min
Josh has covered 6/7 of a lap
Gabe has covered 2/9 of a lap