105/1760 = x/60
105 yards per minute over 1760 (number of yards in a mile) is equal to X (solving) over 60 (the number of minutes in an hour)
x = 3.579 = 3.58 miles per hour.
3/4 = 0.75
2/5 = 0.4
0.4 < 0.75
Therefore,
2/5 < 3/4
Answer:
(50 + x) greater than or equal to 138
Step-by-step explanation:
Each student should use atleast 6, so 23 students would use atleast 23×6 = 138
Atleast 138 needed
She has 50 and buying x
So, 50 + x are available
Having enough means:
available > needed
50 + x > 138
The inequality should be greater than or equal to
The expression without using absolute value is 2z - 11
<h3>Absolute value of a function</h3>
Given the expression with absolute value expressed as:
lz-6l-lz-5l
Since absolute function can both be negative or positive, hence;
lz-6l-lz-5l = z - 6 - -(z - 5)
lz-6l-lz-5l = z-6-(-z+5)
lz-6l-lz-5l = z - 6 + z - 5
lz-6l-lz-5l = 2z - 11
Hence the expression without using absolute value is 2z - 11
Learn more on absolute value here: brainly.com/question/729268
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Answer:
Step-by-step explanation:
The rate of change is equal to (y2-y1)/(x2-x1) where (x1,y1)=((0,150) and (x2,y2)=(5,0). Therefore the rate of change equals (0-150)/((5-0)=-30 songs/week. This is equal to the slope of the line that goes through these two points. The initial value is the y coordinate of the point when x=0 which is 150. The equation of the line is y=-30x+150, and this is the slope-intercept form (y=my+b) where m is the slope of the line and b is the y-intercept.