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jonny [76]
2 years ago
14

Select all of the equations that are equivalent to 3 x − 12 = 19

Mathematics
2 answers:
nydimaria [60]2 years ago
7 0

Answer:

X=2

Step-by-step explanation:

x

=

−

2

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 3x to both sides.

5

x

+

3

x

+

12

=

−

3

x

+

3

x

−

4

⇒

8

x

+

12

=

−

4

subtract 12 from both sides.

8

x

+

12

−

12

=

−

4

−

12

⇒

8

x

=

−

16

To solve for x, divide both sides by 8

8

x

8

=

−

16

8

⇒

x

=

−

2

As a check

Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.

left side  

=

(

5

×

−

2

)

+

12

=

−

10

+

12

=

2

right side  

=

−

(

3

×

−

2

)

−

4

=

=

6

−

4

=

2

⇒

x

=

−

2

is the solution

Jobisdone [24]2 years ago
4 0

Answer:

b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19

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A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the
Ede4ka [16]

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is 220\ ft

The width of the garden is 50\ ft

Suppose the length of the garden is x

Perimeter is the sum of the lengths of the sides

\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft

So, the length of the garden is 60\ ft

4 0
3 years ago
Matt, a 180 pound (82 kg) male, goes to a party and is served beer in a 16-ounce (473 ml) red plastic cup. he has 3 cups of beer
goblinko [34]

4 Standard drinks he has consumed in over a two - hour time period.

<h3>What is Unitary Method?</h3>

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

For example: 5 cars have price of $500. what will be the price of 10 cars.

Now, we know

5 cars → $500

1 car → $500/5

1 car → $100

10 cars → 8 x $100

10 cars → $800

The standard drink contains 12 - ounce of beer.

Here, we have given 1 red cup which has 16 - ounce of beer.

He has 3 red cups.

So, total ounce of beer he has consumed in two hour time period:

16 x 3 = 48 ounce of beer.

Now, as we know standard drink contains 12 - ounce of beer.

so, Number of standard drink = 48/12 = 4

Hence, 4 Standard drinks he has consumed in over a two - hour time period.

Learn more about " Unitary Method " from here: brainly.com/question/28276953

#SPJ4

7 0
1 year ago
Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.
andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, given the points (-2,8) and (11,2), we can identify that:

x_2=11\\x_1=-2\\\\y_2=2\\y_1=8

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units

7 0
3 years ago
Phone, it can expect to sell 1,000-2x phones.
Andreas93 [3]

Answer:

Step-by-step explanation:

The x intercepts are 0 and

1000 - 2x = 0              given condition

1000 = 2x                   Divide by 2

500 = x

So the two intercepts are 0,0 and 500,0

The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.

The answer to the B part is completing the square.

r(x) = - 2x^2 + 1000x

r(x) = -2(x^2 - 500x )

1/2 ( 500) = 250

250^2 is what you put inside the bracket's to complete the square.

r(x) =  - 2(x^2 - 500x + 250^2) + 2*250^2

r(x) = -2(x - 250)^2 + 2*62500

r(x) = - 2(x - 250)^2 + 125000

They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.

4 0
2 years ago
The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
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