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user100 [1]
2 years ago
8

Write an expression that can be used to find how many inches are in six 1/2 inches can you answer fast cause I really need this

to be done by today
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0

Answer:

6.5

Step-by-step explanation:

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Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
yaroslaw [1]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

  =  10.4 miles

Lupita rode 10.4 miles in the taxi.

4 0
3 years ago
Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
You are planning on purchasing a new car and have your eye on a specific model. You know that new car prices are projected to in
olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

5 0
3 years ago
Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and f
timurjin [86]

Answer:

Total number of students= 7+ 9+4+5= 25

Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ON THIS AND SHOW UR WORK<br> THX
swat32
When an exponential function is given as 
f(x)=ab^x, and
knowing that b^0=1, that means that
f(0)=ab^0=a  value of function when x=0, or the initial value.
In the case of
f(x)=20.b^x, f(0)=20.b^0 = 20  (initial value)

If b=1.2, then the hourly growth rate is (1.2-1)=0.2=20%.
If b=1.85, then the hourly growth rate is (1.85-1)=0.85=85%. 
4 0
3 years ago
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