I put 100 points on this and will give brainliest. Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,350 down and $175 each month. At another dealer, she would pay $2,750 down and $150 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?

Step-by-step explanation:

let x = number of months

let dealer A = 2350 + 175x

let dealer B = 2750 + 150x

find:

After how many months would the total amount paid be the same for both dealers? What would that amount be?

dealer A = dealer B

2350 + 175x  = 2750 + 150x

175x - 150x = 2750 - 2350

25x = 400

x = 400/25

x = 16

plugin x=16 back into the equation

let dealer A = 2350 + 175x

                    = 2350 + 175(16)

                    = 5150

let dealer B = 2750 + 150x

                   = 2750 + 150(16)

                   = 5150

therefore,

1. it would take 16 months  pay the same for both dealers

2. the amount would be $5150

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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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.