Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (3,0) (9,0) (7,6). So




The area of the triangle is of 21 units of area.
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get



So we can say that

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Hello!
You first find out how many objects there are in total
4 + 9 + 3 = 16
Then you find the probability of Liliana picking a orange
Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange
Next you find the probability of Liliana picking a pear
There are 3 pears and 16 items to pick so she has a 3/16 chance
Then you add them together to find the chance of either happening
4/16 + 3/16 = 7/16
So she has a 7 out of 16 chance of getting an orange or a pear
The answer is 7/16
Hope this helps!
100% of the price = $400
x % of the price = $320
we need to find x
using a proportion
100 : 400 = x : 320
100 * 320 = 400 * x
32000 = 400x
x = 32000 / 400
x = 80
That means the new price is 80% of the previous price.
100% - 80% = 20%
and based on this we can make a conclusion that the discount was 20%
I hope it is clear to you, feel free to ask anything about it :)