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Maksim231197 [3]
2 years ago
7

Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Wri

te an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.
25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60
Mathematics
1 answer:
Arisa [49]2 years ago
4 0

Answer:

35+5x<_60

Step-by-step explanation:

x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget

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Three planets are in line and are orbiting round a sun, one take 1 week to orbit the sun another takes 9 weeks and the other tak
patriot [66]

Answer:

27 weeks.

Step-by-step explanation:

You need to calculate the minimun common multiple between the three times.

1 week = 1^1 week

9 weeks = 3^2 weeks

27 weeks = 3^3 weeks

You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.

7 0
3 years ago
Find the distance between A and B.
Papessa [141]

Answer:

The result is d = 2\sqrt{5} units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2} Where the first coordinate is (x_{1},y_{1}) and  the second coordinate is (x_{2}, y_{2}).

-Use the coordinates A and B for the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

-Then, you solve the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

d = \sqrt{(4)^2 + (2)^2}

d = \sqrt{16 + 4}

d = \sqrt{20}

d = 2\sqrt{5}

So, therefore the distance is 2\sqrt{5} units.

7 0
3 years ago
Use the estimate in the text based on the Prime Number Theorem to give approximate values of the following. (a) The number of pr
ozzi

Answer:

a)148.47

b)148.34

Step-by-step explanation:

Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.

We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.

A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.

a)The number of primes between 1 and 1030.

1030/log(1030)=148.47

b) The number of primes between 1 and 1029.

1029/log(1029)=148.34

 Extra: π(1029)=π(1030) because 1030 is not a prime.

5 0
3 years ago
exaplain how to use the verticle line test in detil to determine wether a relation represents a function
Archy [21]
If you drop a vertical line thru the graph if it passes thru more than one point than it is not a function
EX: (pic)

8 0
3 years ago
If f(x)=3x-1 and g(x)=x+2, find (f+g)(x)
Temka [501]

Answer:

4x +1 is your answer.

Step-by-step explanation:

What you do is you add f(x) and g(x) together.

<em>3x - 1 + (x + 2)</em>

4x +1 is your answer.

7 0
3 years ago
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