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weqwewe [10]
3 years ago
12

A taxi charges a flat rate of $3.00, plus an additional

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0

Answer:

Sample Response: Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">

solmaris [256]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

The cost of the taxi is the sum of two costs:

<em>the fixed fee of $3.00</em> and <em>the $0.50 per mile</em>.

Let x = number of miles.

For x miles, the mile cost is 0.5x

The total cost is $3.00 plus 0.5x

Total cost: 0.5x + 3

We want the total cost to be under $10, so the sum of the two costs must be less than 10.

The inequality is:

0.5x + 3 < 10

Subtract 3 from both sides.

0.5x < 7

Divide both sides by 0.5

x < 14

The cost is under $10 if the distance is under 14 miles.

Since the distance here is 15 miles, the cost of the taxi is over $10, and Carl will take the bus.

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If PM = 2x - 5, PN = 6x, and MN = 5x + 4, what is the value of x?
Vadim26 [7]

Answer:

The required value of x = 3

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN

So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN

⇒ PN + PM = MN

⇒ 6·x + 2·x - 5 = 5·x + 4

⇒ 8·x - 5·x = 4 + 5

⇒ 3·x = 9

⇒ x = 3

Hence, The required value of x = 3

8 0
3 years ago
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ASHA 777 [7]
Firstly, you should find the discount that is taken off of the jacket, and then also find the sales tax.
As the discount is 10%, you simply have to divide 35 by 10. 35/10= 3.50.
Therefore, you need to subtract the 3.50 from the 35, which gives you 31.50. You've then got the 5% sales tax to add on, which is 3.50/2= 1.75, you've then got to add 1.75 to 31.50, which gives you 33.25.
However, if the sales tax is on the discounted price, then it will be 31.50/10= 3.15/2= 1.58, and you've then got to add this is to discount price, which is 31.50+1.58= 33.08

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Last week John made/has $50.00 from playing the lottery. This week he lost $25.00 playing the same lottery game. What is his per
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Step-by-step explanation:

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1. A light rail travels at a rate of 165 miles per
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3 years ago
Read 2 more answers
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anyanavicka [17]

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

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