Answer:
Exactly one solution
Step-by-step explanation:
4x -2y = 8
2x +y = 2
Multiply the second equation by 2
4x +2y = 4
Add the two equations together
4x -2y = 8
4x +2y = 4
-------------------
8x = 12
x = 12/8
We know there will be one solution
3 feet per second is equivalent to 2.04545 miles per hour
Answer:
Area of shaded region ≈ 192.42
Step-by-step explanation:
21/2 = radius
radius = 10.5 m
A = πr squared
Area of shaded region≈346.36
10.5 - 3.5 = 7
Area of unshaded region ≈ 153.94
346.36 - 153.94 = 192.42
Answer: The lamppost is 7 feet 2 inches
Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.
If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.
Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)
Ratio = 63/105
Reduce to the least fraction
Ratio = 3/5
If the height of the lamppost is H, then
H/144 = 3/5
H = (144 x3)/5
H = 86.4
Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.
<span>We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased

. So we know that:
</span>

<span>
</span>

<span>
</span><span>
Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a
member will be $60 and for a
nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.
On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.</span>