The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.
1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:
15x</span>²-3x+25x-5
2. Then, you have:
15x²+22x-5
3. As you can see, the correct answer is the last option: 15x²+22x-5
It seems as though when the x value is multiplied by 7, you result in the y values (ex. 1*7 = 7). So you could say y = 7x.
Changing the 30 to 10 is a 20 unit drop ( 30-10=20)
so the line would shift vertically down by 20
<span>The line will shift vertically down by $20.</span>
Answer:
10 students would spend $30.
Step-by-step explanation:
In order to find this, start by looking for the cost per student. We can do this by dividing the overall cost by the number of students.
$12/4 students = $3 per student.
Now we take that unit rate and multiply by the new number of students.
$3 * 10 students = $30 total spent.
Answer:
To travel half a distance Abby requires 1.5 hrs.
Step-by-step explanation:
Given:
Abby is going to ride her bike to her friend's house that lives 6 miles away.
Distance = 6 miles
She can ride her bike at a rate of 2 miles per hour.
Speed = 2 miles per hour
We need to find the time required to ride her bike half of the distance.
Now Distance = 
Now Time required can be calculated by Dividing distance with speed.
Time (hours) = 
Hence To travel half a distance Abby requires 1.5 hrs.