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anzhelika [568]
3 years ago
15

suppose you plan to ride your bicycle from portland oregon to seattle washington and back to portland. the distance between port

land and seattle is 175 miles. you plan to ride 25 miles each day. write the absolute value function d(x) where x is the number of days into the ride.
Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

d(x) = 175 - |175 - 25x|

Step-by-step explanation:

Suppose I plan to ride your bicycle from Portland Oregon to Seattle Washington and back to Portland.

Portland and Seattle are 175 miles apart. I plan to travel 25 miles every day.

If we consider the starting point i.e. Portland as the zero distance i.e. reference, then we can model the distance from Portland d(x) as

d(x) = 175 - |175 - 25x|

where x is the number of days into the ride. (Answer)

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Alecsey [184]
Slope intercept: y = mx + b
Plug in the slope
Y = -3/2x + b
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-9 = -3/2(10) + b, b = 6
Equation: y = -3/2x + 6
5 0
3 years ago
A farmer has 3/4 acre of land. He will use all the land and plant different vegetables in 1/16 -acre sections. How many sections
kati45 [8]

Answer: 12 sections of 1/16 acre

Step-by-step explanation:

We want to find how many sections of 1/16 acre we can have in a total area of 3/4 acre.

This is equal to the quotient between 3/4 and 1/16

Remember that if we have two rational numbers (a/b) and (c/d) the quotient can be writen as:

(a/b)/(c/d) = (a/b)*(d/c) = (a*d)/(b*c)

The quotient we want to solve is:

(3/4)/(1/16) = (3/4)*(16/1) = (3*16)/4 = 12

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8 0
3 years ago
7 hours to travel 4830 kilometers. What is the unit rate for kilometers per​ hour?
soldi70 [24.7K]

Answer:

690 km per hour

Step-by-step explanation:

4830 divided by 7 is 690 km per hour

3 0
3 years ago
Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same co
aniked [119]

Answer:

A)The greatest number of bags she could have is 6 bags

b) The least possible combination of bags she could have is 36 bags

Step-by-step explanation:

Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same combinations of pencils and erasers. Name two possible combinations of bags she could have.

The two possible combinations not and she could have is calculated as :

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We solve using Greatest Common Factor Method

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Hence, the greatest number of bags she could have is 6 bags

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We solve using Least Common Multiple Method

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Multiples of 18:

18, 36, 54, 72

Therefore,

LCM(12, 18) = 36

The least possible combination of bags she could have is 36 bags

7 0
3 years ago
The top of a ladder rest at a height of 15 feet against the side of a house. If the base of a ladder is 6 ft from the house what
MariettaO [177]

Answer:

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Step-by-step explanation:

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L = root(261)  = 16.155 feet

6 0
3 years ago
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