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Sonja [21]
2 years ago
8

What is the solution set for 6x−2=5x+3, given the replacement set {2, 3, 4, 5}?

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
6 0
X=5
Subtract 5x from 6x to get (x) then add 2 to 3 to get 5
6x-5x=3+2
X=5
Harrizon [31]2 years ago
5 0

Answer:

6x−2=5x+3

6x−2+2=5x+3+2

6x=5x+5

6x-5x=5x+5-5x

<u>x=5</u>

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What the correct answer
Dvinal [7]

Its ‘B’

100% sure

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4 0
3 years ago
Estimate the square root of 83 to the nearest whole number.
sleet_krkn [62]
Nothing can go into 83 so of you square root it you will get a decimal so the nearest whole number You would get is 9 because 9*9=81 and that's the closet that you will get to 83
4 0
3 years ago
Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays
lukranit [14]

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

6 0
2 years ago
T: 3(t + 3) + 5(3 + 2t) – 76 = 0
Setler [38]

Answer:

\huge\boxed{\sf t = 4}

Step-by-step explanation:

\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
3 years ago
Read 2 more answers
What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)
olya-2409 [2.1K]
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but  2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.
6 0
3 years ago
Read 2 more answers
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