What is the zero of 2x + 3y = 12

The statements that are biconditional include:

A biconditional statement combines a conditional statement with its inverse. As a result, one conditional is true if and only if the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." The double arrow indicates that the conditional must be true in both directions.

Examples are that if and only if the polygon is a quadrilateral, it has four sides. If and only if the polygon has four sides, it is a quadrilateral. If and only if the quadrilateral is a square, it has four congruent sides and angles.

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Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

=

13

−13

y=−1

 Answer: y =-1

Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.

Given, equation:

[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]

We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.

[tex]4 - 2y + 1 = 10y + 18 + y[/tex]

[tex]5 - 2y = 11y + 18[/tex]

Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.

[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]

[tex]5 = 13y + 18[/tex]

Flipping the equation for easy calculation,

[tex]13y + 18 = 5[/tex]

Solving further,

[tex]13y = - 13[/tex]

[tex]y = \frac{ - 13}{13} [/tex]

[tex] \boxed{y = - 1}[/tex]

Hence, we are done !!

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Step-by-step explanation:

2x + 4(7-x)

= 2x + 28 -4x

= 28 - 2x

Answer:

1/2

Step-by-step explanation:

Answer:

[tex] { \boxed{ \bold{ \huge{ { \boxed{ \sf{ \frac{1}{2} }}}}}}}[/tex]

Step-by-step explanation:

Let the missing fraction be x

[tex] \star \: \: \: \sf{x - \frac{3}{10} = \frac{1}{5}} [/tex]

Solve for x.

L.C.M of 1 and 10 = 10

[tex] \longmapsto{ \sf{ \frac{x \times 10 - 3}{10} = \frac{1}{5} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{10x - 3}{10} = \frac{1}{5} }}[/tex]

Do cross multiplication

[tex] \longmapsto {\sf{5(10x - 3) = 10 \times 1}}[/tex]

Distribute 5 through the parentheses

[tex] \longmapsto{ \sf{50x - 15 = 10}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \longmapsto{ \sf{50x = 10 + 15}}[/tex]

Add the numbers: 10 and 15

[tex] \longmapsto{ \sf{50x = 25}}[/tex]

Divide both sides by 50

[tex] \longmapsto{ \sf{ \frac{50x}{50} = \frac{25}{50}}} [/tex]

[tex] \longmapsto{ \purple{ \boxed{ \sf{ x = \frac{1}{2} }}}}[/tex]

The missing fraction is [tex] \sf{ \frac{1}{2} }[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Step-by-step explanation:

1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25

2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25

3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25

4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

The distance between the given points is 13 units.

We have two coordinate points  A(8, -4) and B(3, 8).​

We have to determine the distance between these two points.

The distance between two points -

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

According to the question, we have -

Coordinates of 1st point -  A(8, -4)

Coordinates of 2nd point -  B(3, 8)

Using the distance formula given -

d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]

d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13 units

Therefore, the distance between the given points is 13 units.

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Answer:

Step-by-step explanation:

There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:

                      Gallons of solution    *        % salt          =         Gallons of salt

Sol 1  

Sol 2

If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so

                     Gallons of solution       *       % salt         =        Gallons of salt

Sol 1                        10                                     .11            =        1.1 gallons of salt

Sol 2                        6                                     .07           =        .42 gallons of salt

We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.

Answer:

48 items

Step-by-step explanation:

6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48

Answer:

48

Step-by-step explanation:

Step-by-step explanation:

[tex]y = 2x - 4[/tex]

[tex]3x + y = 1[/tex]

[tex]y = 1 - 3x[/tex]

Equating,

[tex]2x - 4 = 1 - 3x[/tex]

[tex]2x + 3x = 1 + 4[/tex]

[tex]5x = 5[/tex]

[tex]x = 1[/tex]

Placing it,

[tex]y = 1 - 3( 1)[/tex]

[tex]y = 1 - 3[/tex]

[tex]y = - 2[/tex]

Answer: The answer is A

Answer:

its A!!!! i just did it!

Step-by-step explanation:

Answer:

Yes, because of the fact that (+)(+)=+, but (-)(+)=-

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

3*-10 = -30

The negative rules are simply:

negative*negative = positive

negative*negative*negative = negative

Hope I helped

Answer:

answer is b

Step-by-step explanation:

Greetings from Brasil...

First degree equation. The variables are in the 1st member and the numbers in the 2nd member.

X + 6 - 2X = X - 24

X - 2X - X = - 24 - 6

- 2X = - 30

Answer:

R'(4, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is  rotated 90° counterclockwise about the origin, the new point is A'(-y, x)

From the image attached, below are the location of the points:

P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)

If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)

Answer: The way you would write this in standerd form would be like this one  point fourty four times one hundered six. Let me know if this correct or not.

Step-by-step explanation:

Answer:

t < [tex]\frac{38}{17}[/tex]

Step-by-step explanation:

Given

12t - 2 < - 5t + 36 ( add 5t to both sides )

17t - 2 < 36 ( add 2 to both sides )

17t < 38 ( divide both sides by 17 )

t < [tex]\frac{38}{17}[/tex]

Answer:

Step-by-step explanation:

12t - 2 < -5t + 36

17t < 38

t < 38/17

Answer:

I think the answer would be the fourth answer or the second answer.

sorry if its not the correct answer.

Step-by-step explanation:

D; 10.5x + 45 < 12.5x + 35

We are told that;

C_a = 10.5x + 45

Similarly, we are told that;

C_b = 12.5x + 35

Since we want to make C_a < c_b

Then, we will have;

10.5x + 45 < 12.5x + 35

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Answer:

The y-intercept of the line would be (C) 8

Step-by-step explanation:

The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.

We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].

Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.

Answer: 9m^4- 30m^3 +37m^2 - 20m + 4  

Step-by-step explanation:

(3m^2 -5m +2)^2  is the same as (3m^2 -5m +2)(3m^2 -5m +2)  

Now apply the distributive property 3 times to solve.

3m^2(3m^2 -5m + 2) =   9m^4 - 15m^2 + 6m^2

-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m

2(3m^2 -5m +2)  =  6m^2 - 10m + 4

Now add the solutions

(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =

9m^4- 30m^3 +37m^2 - 20m + 4

Answer:

(5,7)

Step-by-step explanation:

Answer:

3 Tons on IXL

Step-by-step explanation:

6000 tons of flour should they order for the next month.

Given that, Upper Crust Bakery expect to sell 8,000 loaves of bread next month. Their bread recipe, which makes 8 loaves, calls for 6 pounds of flour.

We need to find how many tons of flour should they order for the next month.

Sales are activities related to selling or the number of goods sold in a given targeted time period. The delivery of service for a cost is also considered a sale.

Based on the given conditions, formulate: 6×8000÷8

=48000/8=6000

Therefore, 6000 tons of flour should they order for the next month.

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Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

Answer:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

i googled it

Answer:

The car is 13 years old

Step-by-step explanation:

Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y

    Lets find the value of the Car or x

x + 3 = 1/2(x + 7)------- >

first we will divide x by 1/2 and 7 by 1/2, So...

x + 3 = (x / 1/2 + 7 / 1/2)------- >

x + 3 = 1/2x + 3.5------->

next Isolate variable x,

x + 1/2x = 3 + 3.5

1/2x = 6.5, So...

x = 13 and in turn, y = 13 + 3

:)

Answer:

it is not a that all i know i am not a roket scientist in school LOL

Step-by-step explanation:

Answer:

there is a button on the side of your keyboard that turns off all caps

ACTUAL ANSWER: 1 dollar a pound

Step-by-step explanation:

Answer:

RP is the correct amswer.

Step-by-step explanation:

please mark me as a brainlist...