Step-by-step explanation:
In ascending order
100 , 102 , 103 , 106, 109
No of data (N) = 5
Now
Position of median
= ( N + 1) /2 th item
=( 5+1 )/2 th item
= 6 / 2 th item
= 3rd item
Therefore exact median = 103
Hope it will help you :)
Answer:
<em>68 degrees</em>
Step-by-step explanation
If <3 and <4 are vertical angles, then <3 = <4
This means that
9x + 5 = 5x + 33
9x - 5x = 33 - 5
4x = 28
x = 28/4
x = 7
Since <4 = 5x+ 33
<4 = 5(7) + 33
<4 = 35 + 33
<4 = 68 degrees
<em>Hence the measure of <4 is 68 degrees</em>
Determine whether the point 1,5 is a solution to the system of inequalities below y>3x , y>/2x+1
Answer:
10:40
Step-by-step explanation:
Answer
• A. Equation: 25(5 + x) = 325
,
• B. Answer: 8 dogs
Explanation
Given
• Charge to wash a dog: $25.
• She washed 5 dogs on Saturday and then some more on Sunday.
• She made $325 for the weekend.
Procedure
She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).
Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

Then, we have to solve for x to know how many dogs did she wash on Sunday.
0. Multiplying the parenthesis

<em>2. Subtracting 125 from both sides of the equation</em>


<em>3. Dividing both sides of the equation against 25</em>
