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Semmy [17]
2 years ago
11

William travels only on Saturdays and Sundays and has flown 1,020 miles this month. Jason travels every weekday and has flown 2,

200 miles this month. If each man travels about the same number of miles each day, who travels more miles per day for this month? Explain.
Mathematics
1 answer:
Fantom [35]2 years ago
8 0

Answer:

William

Step-by-step explanation:

There are 8 Saturday and Sunday in a month. William travels only on Saturdays and Sundays and has flown 1,020 miles this month. <em>He has travelled (1020/8) miles per day = 127.5 miles/day</em>

There are 30-8 = 22 weekdays in a month. Jason travels every weekday and has flown 2,200 miles this month. <em>It would mean that he travelled (2200/22) = 100 miles/day.</em>

It is very clear that no of miles travelled per day by William is more than the no of miles travelled per day by Jason for this month.

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I NEED FAST HELP!!!!!!!!!!!!!!!!!!!
Sindrei [870]

Answer:

The student is expected to spend <em>15.4 hours </em>doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

Using the selected points

\displaystyle y-4=\frac{25-4}{4-28}(x-28)

Simplifying and computing results, the equation is

\displaystyle y=-\frac{7}{8}x+\frac{57}{2}

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}=15.4 hours

So the student is expected to spend 15.4 hours doing homework

7 0
3 years ago
George washed cars for four hours on Saturday in the first hour he wash four cars in the second hour he watches seven cars in th
yaroslaw [1]
Ok so what we have to do is 4+7+9=c
4+7=11
11+9=20
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6 0
2 years ago
Read 2 more answers
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
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Mila [183]

Answer:

D.  6, 7

Step-by-step explanation:

12 - x < 7

-x < -5  

(whenever you multiply or divide an inequality by a negative you must switch the inequality symbol)

x > 5

8 0
2 years ago
13 = 5 + 3b - 13<br><br> show work explained
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13 = 5 + 3b - 13\\&#10;3b=21\\&#10;b=7
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