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notsponge [240]
2 years ago
13

It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t

ake Mike to walk the trail as it takes Dwight to run the trail?
Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0

For this case we convert the mixed numbers to fractions:

Dwight:1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33

Mike:3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}

So, Mike takes \frac {28} {15} hours more than Dwight to walk the road.

Answer:

Mike takes\frac {28} {15}hours longer than Dwight to walk the road.

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ch4aika [34]
Please refer to my image where it shows my work as I’m explaining.

Okay, for system 1:

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2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.

3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.

FOR SYSTEM 2:

1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.

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To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!

6 0
3 years ago
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KengaRu [80]
I believe the answer is 7 but I’m 99% sure ,
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3 years ago
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If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

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vfiekz [6]

Answer:

down ⬇⬇⬇

Step-by-step explanation:

5. its all of them so just write A, B, C, D, E, F, G

6. (equilateral) triangle, right triangle, diamond (?), parallelogram

7. C and E; A and B

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pay attention in school, it'll help in the long run. even if it sounds boring, it will come in handy one day!!

hope this helped <33333

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