Solve for x: 3x−2=8x+8

Answer:

x = 13/3

Step-by-step explanation:

Solve for x:

3×2 (x - 4) - 2 = 0

Hint: | Multiply 3 and 2 together.

3×2 = 6:

6 (x - 4) - 2 = 0

Hint: | Distribute 6 over x - 4.

6 (x - 4) = 6 x - 24:

6 x - 24 - 2 = 0

Hint: | Group like terms in 6 x - 24 - 2.

Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):

6 x + (-24 - 2) = 0

Hint: | Evaluate -24 - 2.

-24 - 2 = -26:

6 x + -26 = 0

Hint: | Isolate terms with x to the left hand side.

Add 26 to both sides:

6 x + (26 - 26) = 26

Hint: | Look for the difference of two identical terms.

26 - 26 = 0:

6 x = 26

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 26 by 6:

(6 x)/6 = 26/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 26/6

Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.

The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:

Answer:x = 13/3

Answer: The car is going 1.55 miles per minute.

Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.

The car's rate in miles per minute  is 1.55 miles.

The car will travel 23.25 miles in 15 minutes.

Given:

A car is traveling at a rate of 93 miles per hour.

In 60 minutes the car travel = 93 miles

So, In one minutes the car travels = 93 /60

                                                         = 1.55 miles

and, In 15 minutes the car travel = 1.55 x 15

                                                      = 23.25miles

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Answer:

893/200

Step-by-step explanation:

The GCM (greatest common factor) is 5

Divide both the numerator and denominator by 5

4465/5 = 893

1000/5=200

So the answer is 893/200

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

Answer:

No

Step-by-step explanation:

It is not, because we can only add the terms that contain x of the same order.

For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying

In this case they are grouped

x * x 2 = x 3

In this case they are not grouped

x + x 2 = x + x 2

Answer:

(17, -11)

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

c = -1

Step-by-step explanation:

6 - (3 - c) = 2

6 - 3 + -(-c) = 2

3 + c = 2

c = 2 - 3

c = -1

Check:

6 -(3-(-1)) = 2

6 - (3+1) = 2

6 - 4 = 2

Answer:

C=-1

Hope this helped! :) if it was correct please give me brainliest!

Answer:

30

Step-by-step explanation:

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.

3 x 10 = 30.

"times greater" means multiplication if you were confused about it.

Hope this helps! Have a nice day!

Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.

Given that:

[tex]Number = 513[/tex]

We make the following observations in 513

The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:

[tex]Value = 3 \times unit[/tex]

Unit means 1. So:

[tex]Value = 3 \times 1[/tex]

[tex]Value = 3[/tex]

So, the value of 3 in 513 is 3.

Let the other number be x.

x is 10 times greater than 3 means that:

[tex]x = 10 \times 3[/tex]

[tex]x = 30[/tex]

Hence, the number is 30

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Step-by-step explanation:

x + x + 3 = 48

2x = 48 - 3

2x = 45

x = 45/2

Answer:

x = 45/2

Step-by-step explanation:

x+x+1+2 = 48

combine like terms

2x + 3 = 48

2x - 3 = -3

     2x = 45

  2x/2 = 45/2

       x = 45/2

Answer:28

Step-by-step explanation:

The cost of the wood chips on dollars per ton is $28.

Given that, Tessa paid $21 for 3/4 ton of wood chips to cover flower beds in the park.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Let the cost of the wood chips on dollars per ton be x.

Now, the cost of the wood chips on dollars per ton = Cost of 3/4 ton of wood chips to cover flower beds in the park ÷ 3/4

x = 21 ÷ 3/4

= 21 × 4/3

= 28

Therefore, the cost of the wood chips on dollars per ton is $28.

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Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

Answer: 626

Step-by-step explanation:

Answer:

it would be -18 then 17 cause u distribute the negative sign

Answer:

- 2/3

Step-by-step explanation:

Answer:

8m + 5/m -10 m^2

Step-by-step explanation:

24m^4 / 3m^3 = 8m

15m^2 / 3m^3 = 5/m

- 30m^5 / 3m^3 = -10m^2

Putting these back together

8m + 5/m -10 m^2

Answer:

Step-by-step explanation:

only 7.630 round to 7.6

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

Answer:

6 movies

Step-by-step explanation:

45-30=15 spent on movies

divide the 15 by 2.5 to get 6.

$30+$2.50m=$45

where m is the amount of movies

Answer:

let he purchaseed x movies

30 + 2.5x = 45

or 2.5x = 15

x=15/2.5 =6

Step-by-step explanation:

Answer:16 a 8 9 c 9

Step-by-step explanation:

Answer:

y=3x+6

Step-by-step explanation:

Answer: $5

Step-by-step explanation:

1)Take the total amount of money divided by the number of friend like this:

35/5

2)You should get $5 which is the amount of money that each friend will have to pay.

Answer:

5

Step-by-step explanation:

$35 divided by 5 friends = $5 per person

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A =  (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

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Answer:

There are 12 bottles of water in a full pack.

Step-by-step explanation:

look at screen shot for answer.

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation: