Mr. scruggs got some money for his birthday. he spent 1/5 of it on dog treats. then, he divided the remainder equally among his 3 favorite charities.
a. what fraction of his money did each charity receive?
b. if he donated $60 to each charity, how much money did he receive for his birthday?

a.

b. $225

Step-by-step explanation:

Let Mr. Scruggs got money for his birthday be 'a'

He spent of it on dog treats = a ×

                                                                      =

remainder amount would be = a -

                                                =

Then he divided the remainder money equally among 3 favorite charities.

=

a. Each charity receive

b. If he donated $60 to each charity.

a = $225

Mr. Scruggs received $225 for his birthday.

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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