Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?

​

The recipe  that  will only make 1 dozen cookies is as follows:

.18 cups of peanut butter

.12 cups of vegetable shortening

.30 cups packed light brown sugar

.72 tablespoons of milk

.66 teaspoon vanilla extract

.24 large eggs

.36 cups of flour

.18 teaspoons of baking soda

.6 teaspoons of salt.

This refers to the ingredients for baking a snack or dessert.

From the question:

Original cookie recipe =

1 1/2 cups of peanut butter

1 cup of vegetable shortening

2 1/2 cups packed light brown sugar

6 tablespoons of milk

5 1/2 teaspoon vanilla extract

2 large eggs

3 cups of flour

1 1/2 teaspoons of baking soda

1/2 teaspoon of salt

Note: 1 dozen= 12

The recipe that will only make 1 dozen cookies will be = Original cookie recipe * 12

1 1/2 cups of peanut butter * 12 =

3/2 *12= 18

1 cup of vegetable shortening *12

1 * 12 = 12

2 1/2 cups packed light brown sugar * 12

3/2 * 18 = 30

6 tablespoons of milk *12

6 * 12 = 72

5 1/2 teaspoon vanilla extract * 12

11/2 *12 = 66

2 large eggs * 12

2*12 = 24

3 cups of flour *12

3*12 = 36

1 1/2 teaspoons of baking soda * 12

3/2 *12 = 18

1/2 teaspoon of salt * 12

1/2 * 12= 6

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Answer:

76

Step-by-step explanation:

Let the number of vegetarians be x. Then, the number of non-vegetarians is x-52.

[tex]x+x-52=100 \\ \\ 2x=152 \\ \\ x=76[/tex]

The length of the missing side is 39 units

The parallelogram is a simple 2D-shaped quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides and opposite angles are equal.

Here we have,

The length of the sides of a parallelogram is 2x+10, 5x- 20 and 4x-1

As we know parallel lines of a Parallelogram are equal

Take any two sides as equal and find the missing side

Let the sides with lengths be equal 2x+10, 5x- 20

=> 2x+10 = 5x- 20      

=> 5x - 2x = 20+ 10

=> 3x = 30

=> x = 10  

Therefore, the lengths of the 3 sides are  

2x+10 = 2(10) + 10 = 30

5x- 20 = 5(10) - 20 = 30

4x-1 = 4(10) - 1 = 40 - 1 = 39    

The length of the missing side is 39 units

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The dimensions of the rectangle such that the rectangle have the greatest area is length  = 8 and width = 4   .

In the question ,

it is given that ,

a rectangle is inscribed with its base on the x axis , and its upper corner on the parabola y = 12 − x²  ,

let the coordinate of the upper right corner be P(x,y) ,

and A be the area of the rectangle .

the point P lies on the parabola , given y = 12 − x² ,

So,  P = P(x,12−x²)

Due to symmetry of the rectangle,  the width of rectangle is half the distance between P and the y axis ,

that means width = 2x   and length = y .

Area of the rectangle = width × Length

= 2x * y

= 2x (12 − x²)

= 24x - 2x³

To maximize the area we differentiate Area with respect to x ,

we get ,

dA/dx = 24 - 6x²

for critical point dA/dx = 0 ,

24 - 6x²  = 0

6x² = 24

x² = 4

x = ±2 ,

since length cannot be negative ,

So , x = 2 .

to check for maximum and minimum ,we differentiate Area with respect to x,

we get

d²A/dx² = -12x

substituting , x = 2 ,

we get -12 < 0, So , the area is maximum .

hence the width = 2*2 = 4

and length = 12 - 4 = 8

and the maximum area is 32 .

Therefore , The dimensions of the rectangle such that the rectangle have the greatest area is length  = 8 and width = 4   .

The given question is incomplete , the complete question is

A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = 12 − x² . What are the dimensions of such a rectangle with the greatest possible area ?

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Answer:

French = 5 ; German = 11

Step-by-step explanation:

G + F = 16

G = 6 + F

6 + F + F = 16

6 + 2F = 16

2F = 16 - 6

2F = 10

2/2 F = 10/2

F = 5

G = 5 + 6 = 11

After 12 months for Emma and 10 months for Evie they will have the same amount of money that is $ 2,600

Given:

Case 1 : Amount of money Emma already has = $ 2000

Amount she plans to save per month = $ 50

Thus according to the above data after 12 months Emma would have

12 × 50 = 600 + 2000

this is equal to $ 2600

Case 2 : Amount of money Evie has = $ 1,600

Amount of money she plans to save every month = $ 100

Thus after 10 months she will have 10 multiplied by 100 which is $ 1000

Thus the total amount she will have = 1000 + 1600

which is equal to $ 2,600

Thus after 12 months for Emma and 10 months for Evie they will have the same amount of money that is $ 2,600

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Equation which is equivalent to the given equation 6x + 9 = 12 is given by 2x + 3 = 4.

As given in the question,

Given equation is equal to :

6x + 9 = 12

Simplify by writing each number into prime factors of the given equation 6x + 9 =12 to get the equivalent equation,

( 2 × 3 )x  + ( 3 × 3 ) = ( 2 × 2 × 3 )

3 is the common factor in all we get,

3 ( 2x + 3) = 3(4)

Divide by 3 both the side of the equation we get,

2x + 3 = 4

Therefore, equation which is equivalent to the given equation 6x + 9 = 12 is given by 2x + 3 = 4.

The complete question is:

Which equation is equivalent to the equation 6x + 9 = 12?

A. x +9=6

B. 2x + 3 = 4

C. 3x + 9 = 6

D. 6x + 12 = 9​

E. 6x = 3

F. 3 = 2x + 4

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The temperature when the plane reaches an altitude of 7,000ft is 47.3 degree.

What is temperature?

Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).

Given,

there is temperature decrease in every thousand feet = 1.7f

temperature decrease in 7000 ft = 7(1.7) = 11.9 f

Therefore, temperature = 59.2- 11.9

=47.3

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Answer:

(2⁵/x²)⁴

(32/X²)

32⁴+x⁶

1,048,576 + X⁶

Step-by-step explanation:

i don't know if this is right. this is all I know

Answer:

4×3=12

Step-by-step explanation:

that is the answer

Answer:

9 : 30

Step-by-step explanation:

1 PM - 1 hour = 12 PM

12 PM - 2 hours = 10 PM

10 PM - 20 minutes = 9 : 40

9 : 40 PM - 10 minutes = 9 : 30 PM

So, it is 9 : 30 PM

Answer:

translation, then rotation

Step-by-step explanation:

Answer:

It should be 860

Step-by-step explanation:

if there are 215 cars and each have 4 wheels, it should be 215 x 4 = 860

Answer:

Step-by-step explanation:

Answer:

Plug all of the X values on the left of the table in to the equations one by one and calculate.

-2(-4)—5= 3

-2(-2)—5= -1

-2(0)—5= -5

-2(2)—5= -9

Step-by-step explanation:

Answer:

(x - 2)(x² + 2x + 4) = 0

Step-by-step explanation:

x³ - 8 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

x³ - 8

= x³ - 2³

= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)

Answer: 5.9 × 10 to the power of 9

From the ground the length of the ladder is 15 feet.

Step-by-step explanation:

From the Pythagorean Theorem, the situation described can be expressed mathematically as:

x² +9² = (x+3)²

or,

x² + 81 = x² + 6x + 9

Now, cancelling equal terms on either side of the equation and reducing gives:

     x = 12

Since the ladder is defined to be 3 feet longer than the distance of its foot to the wall the ladder’s length must be:

       12 feet + 3 feet

        =15 feet

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Answer:

MN = 130

Step-by-step explanation:

since M is at the midpoint of LN , then

LM = MN

7x - 24 = 6x - 2 ( subtract 6x from both sides )

x - 24 = - 2 ( add 24 to both sides )

x = 22

Then

MN = 6x - 2 = 6(22) - 2 = 132 - 2 = 130

A linear equation in two variable can be written in general form as y = mx + c. The slope and y-intercept are 1 / 2 and 30 respectively.  

A linear equation is an equation having only one variable.

Its degree is one and it can  be used to find the value of only one unknown quantity.

Suppose, the cost be y and the number of minutes be x.

Then, the slope from the given table can be found by by taking the ratio of the difference of cost and minutes from any two rows of the table as given below,

Slope = (50-40)/(40-20)

=> slope = 1/2

Now, the equation for the line representing the given table can be given as,

(y-40)/(x-20) = 1 / 2

=> y - 40 = 1 / 2 (x - 20)

=> y = x / 2 - 10 + 40

=> y = x / 2 + 30

The y-intercept is given at x = 0.

therefore y-intercept is given as,

y = 0 / 2 + 30

y = 30.

Hence, the slope is given as 1 / 2 and the y-intercept is 30.

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A rental company charge $65 a day and 20 cent a mile for renting a truck. Michael rented a truck for 3 day, and he bill came to $275. He drive 400 mile.

In the given question we have to find how many mile did he drive.

From the given question, a rental company charge $65 a day and 20 cent a mile for renting a truck.

Michael rented a truck for 3 day, and he bill came to $275.

The rental company charges for three days renting

$(65×3)=$195

Also there is a expense of a mile for renting the truck is

20 cents =$0.20

Let Michel drove x miles in 3 days.

Therefore total bill in 3 days is $(0.20x+195).

According to the question,

0.20x+195 = 275

Subtract 195 on both side we get

0.20x = 80

Divide by 0.20 on both side we get

x = 400

Hence, he drive 400 mile.

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The given interval shown on the number line in inequality notation as (3, 6).

What are inequalities on a number line?

Inequalities on a number line allow us to visualise the values that are represented by an inequality.

To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.  

An open circle shows it does not include the value.

A closed circle shows it does include the value.

The left endpoint is 3. The right endpoint is 6. Both endpoints are open holes, meaning we do not include them as part of the green shaded solution region. If x is a solution, then the solution can be described as  

3 < X < 6 which converts to the interval notation (3, 6) . The curved parenthesis says "do not include the endpoint".

Note: this is not ordered pair notation (x,y).

The given interval shown on the number line in inequality notation as (3, 6).

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Answer:

Step-by-step explanation:

14. y = -2/3x + 10. This is parallel to 2x -3y because they have the same slope.

15. y = -1/2x and y = -1/2x + 2. These are perpendicular because the slope is the opposite reciprocal to the slope of y = 2x + 3, which is 2.
The slopes of the lines of the 2 equations are the same. Because of that, we can state that 2 lines that are perpendicular to the same line are parallel. This can be further supported by the Perpendicular Transversal Theorem, which says the same thing.

Hope this helps!

Answer: The function that has these points is invalid because there can not be 2 different y-values in the same x-value.

The slope of the line is 1/5 which is positive.

From the graph:

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.

Take any points:

(0,0) and (5,1)

slope m = y2 - y1 / x2 -x1

= 1 - 0 / 5 - 0

= 1/5

Therefore the slope of the line is 1/5 which is positive.

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Answer:

Step-by-step explanation:

margin of error

Answer:

Step-by-step explanation:15(x+2) =25

15x+30=25

15x=5

3x=1

x=1/3