A car rents for $45 per day plus 21 cents per mile. You are on a daily budget of $66. What mileage will allow you to stay within your budget?

Answers

Answer 1

Answer: Your budget = $66.

Car rental (for the car) = $45
Car rental (for each mile) = $0.21.

To work out the price you can afford, do 66 - 45 = $21.

Now do $21 ÷ $0.21 to find out the number of miles you can drive.

$21 ÷ $0.21 = 100 miles.

You can drive for 100 miles.

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The graph of a system of equations will intersect at more than ___.a. Always
b. Sometimes
c. Never

Answers

The graph of a system of equations will intersect at more than 1 point sometimes. Because in some cases it can't intersect axis.

PLEASE HELP, I HAVE TO PASS!!!!!!Position Value of Term
1 7
2 10
3 13
4 16
5 19
6 22

Which expression gives the number in the nth position in the sequence?
A) 2n - 2
B) 3n + 4
C) 4n - 1
D) 5n

Answers

Answer:

Option B is correct

3n+4[/tex]

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

$a_n = a_1 +(n-1)d$ ....[1]

where,

$a_n$ is the nth position

n is the number of term

$a_1$ is the first term and

d is the common difference.

Given the table:

Position(n) Value of Term( $a_n$ )

1 7

2 10

3 13

4 16

5 19

6 22

from the given table:

At n = 1 ,

$a_1 = 7$

At n = 2

$a_2 = 10$

at n = 3

$a_3 = 13$ and so on

Common difference(d) for the sequence is 3

Since,

$d = a_2-a_1=a_3-a_2.....$

⇒ $d = 10-7=13-10......... = 3$

Substitute d = 3 and $a_1 = 7$ in [1] we have;

$a_n = 7+(n-1)(3)$

⇒ $a_n = 7+3n-3$

⇒ $a_n =3n+4$

Therefore, the expression gives the number in the nth position in the sequence is, $3n+4$

3n+4
3(3)+4
9+4
13
is the B).

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answers

Answer:

$(x+1)^2+(y-2)^2=9$

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius : 3 units

We know that the standard form of the circle is given by

$(x-h)^2+(y-k)^2=r^2$

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

$(x+1)^2+(y-2)^2=3^2\n\n(x+1)^2+(y-2)^2=9$

Therefore, last option is correct.

Hello,

Answer D

(x+1)²+(y-2)²=9

Which of the following expressions is equivalent to 6 - (-5)?6 - 5
6 + 5
-6 + 5
-6 + (-5)

Answers

If you would like to find the equivalent expression to 6 - (-5), you can do this using the following steps:

6 - (-5) = 6 + 5 = 11

The correct result would be 6 + 5.

Answer: 6+5

Step-by-step explanation:

Two cell phone companies have different rate plans. Runfast has monthly charges $25 plus $10 per gig of data. B A &D’s monthly charge is $18 plus 15 per gig of data. Your task is to determine under what circumstances each company has the better pricing. You will derive and solve a set of equations, graph those equations, and evaluate the meanings for these events. Don’t worry; I have a series of questions to guide you through the process. Good luck!Determine the equation for the monthly charges for Runfast and BA&D.

Runfast= $35 per month

BA&D= $33 per month

Answers

Given:
Runfast = 25 + 10g
BA&D = 18 + 15g

Runfast = 35 per month
35 = 25 + 10g
35 - 25 = 10g
10 = 10g
10/10 = g
1 = g

BA&D = 33 per month
33 = 18 + 15g
33 - 18 = 15g
15 = 15g
15/15 = g
1 = g

If g = 2;
Runfast = 25 + 10(2) = 25 + 20 = 45
BA&D = 18 + 15(2) = 18 + 30 = 48

Based on my computation, if the gig of data is only equivalent to 1g then BA&D is cheaper. However, if 2gig or above is used, then Runfast is cheaper.

What does 6x +3 - 1(-3 + x) equal?