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Bogdan [553]
3 years ago
8

Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi

onal .60 per mile driven. The second plan has no initial fee but costs .80 per mile driven. How many miles would Ali need to drive for the two plans to cost the same?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

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Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
  • The phrasing "a certain neighborhood" is admittedly vague. It depends on further context of the problem. There are multiple ways to set up a region or interval of points to consider. Though visually you can probably spot a relative min fairly quickly by just looking at the valley points.
  • If you have a possible relative min, look directly to the left and right of this point. if you can find a lower point, then the candidate point is <u>not</u> a relative min.
8 0
2 years ago
Becky spends 3/5 of her money she has left £60 left. how much money did she start with?
Virty [35]

Answer: $150

Step-by-step explanation:

Becky spends 3/5 of her Money and is left with 2/5 of her money.

Hence 2 parts = $60

And 5 parts = $150

Becky has $150 at first.

5 0
3 years ago
What is the slope line that would be parallel to the given line???
Serjik [45]

Slope of a line parallel to given line is equal to slope of given line.

<u>SOLUTION:</u>

Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.

We know that, slope of a line is tan( angle  of a line made between that line and the x – axis)

So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.

Then, tan( angle by 1st line) = tan( angle by 2nd line)

Which means that, slope of two lines will be equal.

Hence, slope of a line parallel to given is equal to slope of given line.

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3 years ago
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ira [324]
It's the 2,7,3,2 one or the third one
6 0
3 years ago
Read 2 more answers
Type your solution as an ordered pair.
kvv77 [185]

Answer and Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

Hi there! This is what the graph should look like: (Look at the picture attached)

We can see that the solution to the equation is (3, -2) because this is where the lines intersect.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

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