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statuscvo [17]
3 years ago
14

3(x - 6) + 6 = 5x - 6. what is the solution​

Mathematics
2 answers:
inn [45]3 years ago
8 0

Answer: x = -3

Step-by-step explanation:

1. Distribute the 3 into the parenthesis

     3x - 18 + 6 = 5x - 6

2. Combine like terms (on the left side of the equation

    3x - 12 = 5x - 6

3. Add 6 to both sides to get rid of the -6 on the right side

    3x - 6 = 5x

4. Subtract 3x from both sides to get rid of the 3x from the left side

    -6 = 2x

5. Divide both sides by 2

    -3 = x    

4vir4ik [10]3 years ago
7 0

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)+6=5x−6

(3)(x)+(3)(−6)+6=5x+−6(Distribute)

3x+−18+6=5x+−6

(3x)+(−18+6)=5x−6(Combine Like Terms)

3x+−12=5x−6

3x−12=5x−6

Step 2: Subtract 5x from both sides.

3x−12−5x=5x−6−5x

−2x−12=−6

Step 3: Add 12 to both sides.

−2x−12+12=−6+12

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

x=−3

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A family drove a total of 5,300 miles.They drove 10 more miles in tj second half of the trip than the first half. How many did t
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If they drove a total of 5,300 miles in 2 days, and on the second day they drove 10 more miles then the 1st day.

5,300 ÷ 2 = 2,650

they drove 10 miles less on the first day

2,650 - 10 = 2,640

They drove 2,640 miles on the first day.

Hope this helps. :)

7 0
3 years ago
1<br> Enter the correct answer in the box.<br> Simplify the expression (62,4.
adelina 88 [10]

Answer:

248

Step-by-step explanation:

(62)4

= 62 x 4

= 248

4 0
3 years ago
Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​
laiz [17]

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

  • (200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

  • 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: brainly.com/question/6958503

4 0
2 years ago
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
san4es73 [151]
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon.  You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner.  An equilateral triangle has 60 degree angles (180/3).  The right triangle has half of one of those angles so 30 degrees.  Now we have a 30-60-90 triangle where the short leg is 5cm.  The long leg, which is also half of one side of the triangle is thus 5\sqrt{3}.  A whole side of the triangle is 10\sqrt{3}.  Multiply that by 3 to get the perimeter of <span>30\sqrt{3}.</span>
4 0
3 years ago
Assume that 300 births are randomly selected and 5 of the births are girls. Use subjective judgment to describe the number of gi
murzikaleks [220]

Answer:

Following are the response to the given choice.

Step-by-step explanation:

Please find the complete question in the attached file.

Subjective opinion = Question of opinion.

Therefore this requires only just opinion and we don't have to do any actual calculations.

Does this seem like a great number of girls, a little number of girls, or a decent number of girls to you but if 1,300 babies were born, 5 of whom were females?

This is a small number of beautiful gals, in my honest opinion. We anticipate boys and girls to be produced about the very same frequency, thus I expect some half of them to be females if there are 1 300 newborns. You should have roughly 650 girls if 50% of the infants are girls, but now we only have five. That appears to me to be considerably low. which is your own opinion.

3 0
3 years ago
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