Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. skylar has three coupons. the first coupon gives him x percent off on a shirt. the second coupon gives him y percent off on the dress pants. the third coupon gives him z percent off on his total purchase. he cannot combine the coupon for the total purchase with the other two coupons. these expressions give both possibilities for the total cost of skylar's purchase after the coupons are applied. the variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) skylar uses the dress pants coupon. which part of the expression represents the percent that skylar will pay for the dress pants?

Hello there!

As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.

In this problem, the question is:

Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.

this is: $40 - y*$40 = (1 - y)*$40

then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.

you never say the total so we cant find the percentage used for petrol

step-by-step explanation:

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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