Answer: he must work for at least 26.32 hours
Step-by-step explanation:
Let x represent the number of hours that Hayden works as a life guard.
Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be
9.5x
He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is
9.5x + 50
Therefore, the number of hours that he must work to earn at least $300.00 would be
9.5x + 50 ≥ 300
9.5x ≥ 300 - 50
9.5x ≥ 250
x ≥ 250/9.5
x ≥ 26.32
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:
$8
Step-by-step explanation:
We can write an equation with the scenario given and solve for what we need, Alberto's weekly allowance.
Let his weekly allowance be "x"
Since he spend HALF of it, he spent 0.5x of it.
He has remaining also 0.5x of it
Now, whatever he has (0.5x), he gets $4 more from cleaning windows. After that he has:
0.5x + 4
This amount is equal to $8, so we can write:
0.5x + 4 = 8
0.5x = 8 - 4
0.5x = 4
x = 8
So, alberto's weekly allowance is $8
412-217
195 units
Just subtract them and that would be the distance I’m pretty sure
