Answer:
$55+$9x≥$199
You must work for at least 16 hours to be able to buy the bicycle.
Step-by-step explanation:
Let x represent the number of hours you need to work to buy the bicycle.
You already have $55.
⇒$55+ −−−−−≥ −−−−−
You also earn $9 per hour.
Algebraically, this can be written as 9x.
⇒$55+$9x≥ −−−−−
You need to earn at least $199 to buy the bicycle.
⇒$55+$9x≥$199
The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.
Let's find out how many hours you need to work to buy the bicycle.
Subtracting $55 from both sides of the inequality:
⇒$55−$55+9x≥$199−$55
⇒$9x≥$144
Dividing both sides by $9:
⇒$9x$9$=$144$9
∴x≥16
Therefore, you need to work at least 16 hours to afford the bicycle.
There are 4 possibilities of a right choice. Your Aunt has 1 favorite. So you probability would be 1/4 or .25
Hope This Helps and God Bless!
For a translation 4 units down you would subtract 4 from each y value and 5 units right you would add 5 to each x value.
Your resulting points would be.
A'(-1,1), B'(-1,-2), C'(3,-2), D'(3,2)
Find answer is the given attachment
Step-by-step explanation:
tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.
Therefore 1.6m / (2m + x) = 1/√3
By cross multiplication, 1.6√3 = 2 + x.
Hence, x ≈ 0.77m.