Wayne has a recipe on 3 inch by 5 inch index card that he wants to enlarge to 15 inches long. how wide will the enlargements be?

9 in wide will the enlarge.

Step-by-step explanation:

Wayne has a recipe on 3 inch by 5 inch index card

Length and width of index card varies directly.

If we enlarge the length their width would be definitely enlarge.

Initial L = 3 in and Width = 5 in

where, L=3 and W=5

Substitute L and W into formula

3=5k

We need to find L when W=15

Thus, 9 in wide will the enlarge.

a c

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places