From a standard deck of 52 cards, what is the
probability of drawing one card that is either a
heart or a 2?

32.692307692308%

Step-by-step explanation:

Let's go over the facts we know:

- There are 13 hearts in a deck of cards, 2 through ace

- There are 4 "2's" in a deck of cards, one for each suit

- There are 52 cards in a standard deck

The first step is to find the ratio.

Add the 13 hearts to the 4 "2's" to get the amount of cards to be drawn.

13 + 4 = 17.

Based on this, we know the ratio of hearts and "2's" to total cards is 17:52.

In other words, there is a 17 out of 52 chance that the card drawn will be a heart or a 2.

Now, we need to convert it to a percentage. To do so, divide 100 by 52. We get 1.92307692308. Now, multiply both 52 and 17 by 1.92307692308, and put the product with 17 as the numerator of the fraction and the product with 52 as the denominator. We get 32.692307692308/100. As a percent, this is written as 32.692307692308%

Therefore, the final answer is 32.692307692308%.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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