We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by
Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.
Now, we have the same denominator hence, we can add the numerator
Therefore, Tim spends 15/24 hours each weekday sleeping in the school.
The equation most closely models the line of best fit for the scatter plot is y = 2.5x
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
- m is the slope
- b is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the slope
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
Learn more on line plot here: brainly.com/question/8989301
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Answer:
C=$(4.30xy+5.40(xz+yz))
Step-by-step explanation:
Surface Area of a Cuboid=2(LW+LH+HW)
Since the top is open
Surface Area = LW+2(LH+HW)
If Length = x feet,
Width =y feet
Height = z feet
Surface Area = xy+2(xz+yz)
Area of the base=xy
If it costs $4.30 per square foot to build the base
Cost of the base=Cost Per Square Foot X Area = $4.30xy
Area of the sides =2(xz+yz)
If it costs $2.70 per square foot to build the sides
Cost of the sides=Cost Per Square Foot X Area of the sides
= 2.70 X 2(xz+yz)
=5.40(xz+yz)
Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.
Therefore,
C=$(4.30xy+5.40(xz+yz))
Answer:
2.333333333
Step-by-step explanation:
divide 3 into 7 and it's is repeating
Hello!
2y(4-x)=x/2
<span>[plug in 2 for x] </span>
<span>2y(4-2)=2/2 </span>
<span>[4-2 is 2, 2/2 is 1] </span>
<span>2y(2)=1 </span>
<span>[divide both sides by 2] </span>
<span>2y=1/2 </span>
<span>[divide by 2 again] </span>
<span>y=1/4
</span>
====>So As Result As We See, y = 1/4.<====
Hope this Helps! Have A WONDERFUL Rest Of Your Day! :)
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