Answer:
The distance between point M and point L is 8
Step-by-step explanation:
The given points on the coordinate are M = (- 2, 4) and L = (4, - 1)
The formula for determining the distance between two points is expressed as
d = √(x2 - x1)^2 + (y2 - y1)^2
Where
y2 = final value of y = - 1
y1 = initial value of y = 4
x2 = final value of x = 4
x1 = initial value of x = - 2
Therefore,
d = √(4 - - 2)^2 + (- 1 - 4)^2
d = √6^2 + (-5)^2
d = √36 + 25
d = √61 = 8
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Solution:
<u>Step-1: Find the data.</u>
- 70's: 1
- 80's: 1
- 90's: 2
- 100's: 3
- 110's: 4
- 120's: 4
- 130's: 2
- 140's: 1
Data obtained (Smallest to biggest):
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
<u>Step-2: Count the number of digits.</u>
<u>Step-3: Use the formula "Total digits/2".</u>
The 9th digit in the data is the median.
<u>Step-4: Revise the data.</u>
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
The median value of the line plot is 110.
Answer:
(1,0)(-4,0)
Step-by-step explanation:
Answer:
Any number bigger than 2/3
Step-by-step explanation:
btw, I didn't see the options but here's the explanation
When you multiply by a part of a whole, a fraction, you are getting smaller. When you multiply by a number bigger than one, your product gets bigger. So, any number bigger than 2/3 works just fine
