I believe the answer would be D
Answer:
D
Step-by-step explanation:
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.
Substitute y = 2x - 15 to the second equation:
4x + 3(2x - 15) = -5 use distributive property
4x + (3)(2x) + (3)(-15) = -5
4x + 6x - 45 = -5 add 45 to both sides
10x = 40 divide both sides by 10
x = 4
Substitute the value of x to the equation y = 2x - 15:
y = 2(4) - 15 = 8 - 15 = -7
<h3>Answer: (4, -7)</h3>
Answer:
The second alternative is correct
Step-by-step explanation:
We have been given the expression;

The above expression can be re-written as;

On the other hand;
![y^{\frac{1}{3}}=\sqrt[3]{y}](https://tex.z-dn.net/?f=y%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7By%7D)
Therefore, we have;
![x^{9}\sqrt[3]{y}](https://tex.z-dn.net/?f=x%5E%7B9%7D%5Csqrt%5B3%5D%7By%7D)