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mars1129 [50]
4 years ago
10

John is reading a novel. After 20 minutes of reading, John still has 204 pages of the Co novel left to read. This information is

represent by y=-0.6x+216, where x is the number of minutes John spends reading, and y is the number of pages he has left to read. How many minutes will it take John to read the entire novel?
Mathematics
1 answer:
stellarik [79]4 years ago
4 0
<h3> John will take 360 minutes to read the entire novel.</h3>

Step-by-step explanation:

Here:

x : The number of minutes John spends reading

y : The number of pages he has left to read.

y = -0.6 x + 216

We need to find the <u>value of x for which the pages left to be read is 0 </u>or the book is fully completed.

Putting y = 0,  in y = -0.6 x + 216 we get:

y  =  -0.6 x + 216  ⇒ 0  = -0.6 x + 216

or, 0.6 x  = 216  

or, x = \frac{216}{0.6}  = 360

or, x  = 360 minutes

Hence, John will take 360 minutes to read the entire novel.

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the side legnth is 3m
4 0
4 years ago
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Find ""k"" so that the 58 unit diagonal of a rectangle can have an aspect ratio of 15:8. Then find the length and width of the r
irina [24]

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

3 0
3 years ago
If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s
Oxana [17]
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
23miles + 110miles = 133miles
so, we use the midpoint formula to find our position
\frac{distance}{ 2}
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
|66.5miles - 23miles|  = 43.5miles
to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

7 0
3 years ago
Logarithmic differentiation: y=theta+8/theta *costheta
djyliett [7]
Y=Ф + 8/(ФcosФ)  ==> note that

dy/dФ = 1 - 8/[(ФcosФ)]² x (-8sinФ) ==> dy/dФ = 1+[(64sinФ)/Фcos²Ф]

==> dy/dФ = 1+ 64tanФ/Ф or dy/dФ = (Ф+tanФ)/Ф
8 0
3 years ago
Combine Like Terms And Evaulate
zloy xaker [14]

Answer:

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Step-by-step explanation:

Given

6x + 3 - 10 + y

= 6x - 7 + y ← substitute x = 7 and y = - 2 into the expression

= 6(7) - 7 + (- 2)

= 42 - 7 - 2

= 33

4 0
3 years ago
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