What will I do? Activity 1:

Mang Cardo is a hard-working old man who owns 6 hectares of land. At his age, he wanted to divide his land equally to his children. If each child will get 0.75 hectares, how many children does the man have?

Activity 2:

What is the quotient of 0.49 and 0.07?

Activity 3:

Maureen has 11.75 meters of cloth to be made into table napkins. If each napkin measures 0.25 meter, how many table napkins can she make?

Activity 4:

A restaurant owner orders table cloth of 1.75 meters long each. She only has 26.25 meters of cloth left. How many table cloths can be made from it?

solution is needed

1 is b and 2 is d

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

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