Answer:
56
Step-by-step explanation:
Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.
Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.
Now there are two approaches to this. I'm going to take the easier one.
What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.
This mean 30% of x = 24.
30/100 × x = 24
30x = 24× 100
30x = 2,400
x = 2,400/30 = 80.
This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.
This number now equals 80 - 24 = 56 hot dogs.
This mean Mandy sold 56 hot dogs at full price.
Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:

In this case, being a = -4.9, b =30.5 and c =8.4 you have:

Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then <u><em>the time it takes for the cannonball to hit the ground is 6.49 seconds.</em></u>
Answer:
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Step-by-step explanation: