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Naddik [55]
2 years ago
10

A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $

10, otherwise he will take a bus. Carl is 16 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.
Mathematics
2 answers:
marysya [2.9K]2 years ago
7 0

Answer: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

Step-by-step explanation:

Ahat [919]2 years ago
6 0

Answer: Take the bus to save money

Step-by-step explanation:

you plug x for 15, the inequality would be ($0.50 * 15) + $3 <  $10. We need a less than sign (<) because Carl says the price has to be under and not equal to.

$7.5 + $3 < $10. After you do simple math and add, you will know that Carl is short of money by 50 cents.

Hope this helps :)

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Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours ?
gladu [14]

Answer:

Total charge = 8.50x + 25.50

Step-by-step explanation:

You multiply the hourly charge($8.50) by the number of hours(x) and add the rental fee($25.50)

3 0
2 years ago
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Rectangle lmno is rotated 90 degrees clockwise around the origin to create l’m’n’o which statement best describes the relationsh
vova2212 [387]

Answer:

The correct option is A: they are equidistant from origin

Step-by-step explanation:

Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.

Hope that answers the question, have a great day!

4 0
2 years ago
A publishing company prints newspapers and magazines. Let NNN represent the number of newspapers and MMM represent the number of
adelina 88 [10]

Answer:

At most 800 magazines the company can print daily with the remaining number of ink cartridges.

Step-by-step explanation:

We are given the following in the question:

0.5N+2.5M \leq 6000

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.

Number of newspaper to be printed daily,N = 8000

We have to find the number of magazines at most can the company print daily with the remaining number of ink cartridges.

Puting the value in the given inequality,

0.5(8000)+2.5M \leq 6000\\\Rightarrow 4000+2.5M \leq 6000\\\Rightarrow 2.5M \leq 2000\\\\\Rightarrow M \leq \dfrac{2000}{2.5}\\\\\Rightarrow M \leq 800

Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.

6 0
2 years ago
A set of data points has a line of best fit of y=2.5x-1.5
castortr0y [4]

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

R=yo-yp

WhereR is the residual, yo is the observed value y and yp is the predicted value y.

2- You only need to substitute the x=5 into the equation y=2.5x-1.5 and then, you must apply the formula for calculate the residual:

y=2.5(5)-1.5\\ y=11

R=12-11\\ R=1

The answer is: The residual is 1

7 0
2 years ago
Read 2 more answers
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