The mad hatter buys his tea bulk from the local store. A case of tea bags costs 15 gold coins. Which inequality shows the number of cases, c,of tea bags the mad hatter can buy if he has at most 200 gold coins

15 c ≤ 200

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, to write the inequality we have to multiply the number of cases (c) by the cost of one case (15). This expression must be less or equal to the 200 coins.

Mathematically speaking:

15 c ≤ 200

Feel free to ask for more if needed or if you did not understand something.

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

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12