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siniylev [52]
3 years ago
8

What is the value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x?x = ​

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Start with

2(x-3)+9=3(x+1)+x

Expand both parentheses by multiplying both terms by the number outside:

2x-6+9 = 3x+3+x

Sum like terms:

2x+3 = 4x+3

Simplify the "+3" on both sides:

2x = 4x

Subtract 2x from both sides:

2x=0

Divide both sides by 2:

x=0

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Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s
AnnZ [28]

Answer:

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the total words typed

we know that

<em>Kameryn</em>

y=75x -----> equation A

<em>Joe</em>

y=60x+510 -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

75x=60x+510

75x-60x=510

15x=510

x=34\ minutes

That means

For x=34 minutes

The amount of words written by Kameryn and Joe are the same.

therefore

For x > 34 minutes

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

6 0
3 years ago
At the carnival, 3 rides on the MoonCoaster cost $21. How much<br> do 5 rides cost?
Bogdan [553]

Answer:

$35 dollars

Step-by-step explanation:

So we know that 3 rides costs $21. If you then take 21/3 you get 7, you're then going to take 7x5 and you will get 35. Therefore 5 rides on the MoonCoaster cost $35. Hope this helps!

4 0
3 years ago
Read 2 more answers
Determine the solution to the equation x²6x=-13
Citrus2011 [14]

Answer:

x = \frac{\sqrt[3]{468}}{6}

or x =~ -1.29399

Step-by-step explanation:

Calculate the product. x^2 * 6x = 6x^3

divide both sides by 6. x^3 = -13/6

Take the root of both sides. x = \frac{\sqrt[3]{468}}{6}

3 0
3 years ago
3x + 6y = 42 <br> -7x + 8y = -109
Sladkaya [172]

Answer:

x+2y-14=0

Step-by-step explanation:

Divide both sides of equation by 3

7 0
3 years ago
If a shark can swim 27 miles in 9 hours, how many miles can it swim in 12 hours
777dan777 [17]

Answer:

36 miles

Step-by-step explanation:

given:

9 hours -------> 27 miles

1 hour ----------> 27 / 9 miles

12 hours -------> (27/9) x 12 = 36 miles

4 0
3 years ago
Read 2 more answers
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