Your questions are:
1.1. 96 points for 6 games
1.2. 592 students for 17 classrooms
2.1. 15 yd² for $2 per square yard
2.2. 26 ounce at $0.15 per ounce
The first set of problem, that is 1.1. and 1.2 are answered by dividing the numbers.
1.1. 16 points per game
1.2. 34.8 or 35 students per classroom
For the second set, we just have to multiply to get the cost of each.
2.1. $30
2.2. $3.9
-7≤ r+3 ≤+7
-7-3 ≤ r ≤ 7-3
-10 ≤ r ≤ 4
Answer:
Area = 16 units²
Step-by-step explanation:
<u>Points to remember</u>
<u>Distance formula</u>
The distance between two points (x1, y1) and (x2, y2) is given by
Distance = √[(x2 - x1)² + (y2 - y1)²]
<u>To find the length and breadth of rectangle</u>
Let the points be (1, 7) , (5, 3)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(5 - 1)² + (3 - 7)²]
= √[(4)² + (-4)²]
= √32 = 4√2
If the points be (5, 3) , (3, 1)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(3 - 5)² + (1 - 3)²]
= √[(-2)² + (-2)²]
= √8 = 2√2
Length = 4√2 and breadth = 2√2
<u>To find the area of rectangle</u>
Area = Length * Breadth
= 4√2 * 2√2
= 16 units²
12.5 because 400/32 is 12.5 lol I used a calculator
Answer:
Step-by-step explanation:
This may seem a bit tricky because we are not given enough info really to plug in and solve for the rate. We are told, however, that we are interested in doubling whatever amount we invested. So it is up to us to pick an amount for P, then double it for A(t). Let's use P = 1000 so A(t) = 2000. Filling in then:
and
![2000=1000(1+\frac{r}{12})^{60}](https://tex.z-dn.net/?f=2000%3D1000%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B60%7D)
We need to get that r all by itself and right now it's quite buried. Begin by dividing both sides by 1000 to get
![2=(1+\frac{r}{12})^{60}](https://tex.z-dn.net/?f=2%3D%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B60%7D)
Now take the 60th root of both sides to get
![1.01161944=1+\frac{r}{12}](https://tex.z-dn.net/?f=1.01161944%3D1%2B%5Cfrac%7Br%7D%7B12%7D)
Subtract 1 from both sides to get
and multiply both sides by 12 to finally get the rate in decimal form:
r = .13943328
To get that in a percent form, multiply it by 100:
r = 13.9%