Rewrite the expression 12m(m-3n) using the Distributive Property.
O A. 12m² - 36mn
OB. 12m² - 12mn
O C. 12m² - 9mn
O D. 12m² - 3mn

Answer:

To prove that triangle ABF is congruent to triangle EDG, we need to show that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG.

Since we are given that BC is congruent to DC, AB is congruent to ED, and AG is congruent to EF, we can conclude that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG. Therefore, triangle ABF is congruent to triangle EDG.

The correct slope of the line is 5/2 and the mistake made by Luis is that he didn't correctly interpret the scale of both x and y axes.

To find the slope, we will divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

By looking at the given graph, we could easily suspect that the slope is 1/2, but then we have to look at it closely to get the correct thing.

The y-axis shows that 1 unit represents 5 while for the x-axis, 1 unit represents 1.

To get the slope, we need two points on the line (w, x) and (y, z), and the slope is given by the quotient:

m = (z - x)/(y - w)

Looking at the graph we can see that the points (0, 5) and (2, 10) are on the line, and as such the slope is;

m = (10  - 5)/(2 - 0) = 5/2

The slope of the linear equation is 5/2.

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Answer: 8 years for her salary to be the same at both companies.

Step-by-step explanation:

To solve this problem, we can set up a system of linear equations to represent the salaries at each company. Let's say that the first company's salary is represented by the variable x, and the second company's salary is represented by the variable y. Since the first company offers a starting salary of $28,000 with a raise of $3,000 each year, we can represent this with the equation x = 28,000 + 3,000 * t, where t represents the number of years. Similarly, the second company offers a starting salary of $36,000 with a raise of $2,000 each year, so we can represent this with the equation y = 36,000 + 2,000 * t.

Since we want to find the number of years it will take for Joanne's salary to be the same at both companies, we can set the two equations equal to each other and solve for t:

x = 28,000 + 3,000 * t

y = 36,000 + 2,000 * t

x = y

28,000 + 3,000 * t = 36,000 + 2,000 * t

We can solve this equation by combining like terms on both sides of the equation:

28,000 + 3,000 * t = 36,000 + 2,000 * t

-8,000 = -1,000 * t

Dividing both sides of the equation by -1,000, we get:

8,000 = t

Thus, it will take Joanne 8 years for her salary to be the same at both companies.

Answer:

8 years

Step-by-step explanation:

y = salary

x = years

1st company: y = 3,000x + 28,000

2nd company: y = 2,000x + 36,000

3000x + 28000 = 2000x + 36000

subtract 2000x on both sides

1000x + 28000 = 36000

subtract 28000 on both sides

1000x = 8000

divide 1000 on both sides

x = 8

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Answer:

375 Adult tickets

434 Student tickets

Step-by-step explanation:

Let A and S be the numbers of Adult(A) and Student(S) tickets sold.  We are told that A+S= 809.

We also learn that A + 59 = S [59 more student tickets sold than adult tickets]

Rearrange the last expression to isolate one of the two variables, A or S.  I'll isolate A:

A = S - 59

Now use this expression for A in the first equation ("substitution").

A + S = 809

(S - 59) + S = 809

2S = 868

S = 434

From A + S = 809, we can find A:

A + S = 809

A + 434 = 809

A = 375

Check:   Does 375 + 434 = 809??  YES

There were 375 Adult and 434 Student tickets sold, for a total of 809 tickets.

Answer:

Step-by-step explanation:

1) 3(2x + 9) = 24, find x?

→ 3(2x + 9) = 24

→ 6x + 27 = 24

→ 6x = 24 - 27

→ x = -3/6

→ [ x = -1/2 ]

Hence, value of x is -1/2.

2) 4x - 2 = 10x + 1, find x?

→ 4x - 2 = 10x + 1

→ 4x - 10x = 1 + 2

→ -6x = 3

→ x = -3/6

→ [ x = -1/2 ]

Hence, value of x is -1/2.

3) 3x - 4(2x + 1) = 10, find x?

→ 3x - 4(2x + 1) = 10

→ 3x - 8x - 4 = 10

→ -5x = 10 + 4

→ [ x = -14/5 ]

Hence, value of x is -14/5.

4) 3x + 10 = 19, find x?

→ 3x + 10 = 19

→ 3x = 19 - 10

→ x = 9/3

→ [ x = 3 ]

Hence, value of x is 3.

Answer:

8

Step-by-step explanation:

solve the 2 cube first = 8

then solve the .2 with 8 = 16

then minus 24

24-8.2

24-16

8

Answer:

5 necklaces and 10 bracelets

Step-by-step explanation:

Let N and B stand for the numbers of necklaces(N) and bracelets(B) sold.  The total sales would be:

 Total Sales = 6.25B + 12.50N, whcu we are told amounted to $125:

  $125 = 6.25B + 12.50N

We know that B + N = 15.

Rearrange this to isolate B:  B = 15-N

Now use this definition of B in the first equation:

$125 = 6.25B + 12.50N

$125 = 6.25(15-N) + 12.50N

$125 = 93.75-6.25N + 12.50N

31.25 = 6.25N

N = 5 necklaces

From B+N = 15, we can find B:

  B = 15 - 5

  B = 10 bracelets

Check:  Do 5 necklaces and 10 bracelets add up to $125??

 5*($6.25) + 10*($12.50) = $62.50 + $62.50 = $125  YES

The number of bracelets and the number of necklaces if, Sophia sells each bracelet for $6.25 and each necklace for $12.50, and the total number of items sold is 15, are 10, and 5 respectively.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

Sophia sells each bracelet for $6.25 and each necklace for $12.50,

Total number of items sold = 15,

Total income made = $125,

Write the equation as shown below,

x + y = 15

Here, x is the number of bracelets and y is the number of necklaces,

6.25x + 12.5y = 125

Solve the equations by elimination method as shown below,

y = 5 and x = 15 - 5 = 10

Thus, the number of bracelets is 10 and the number of necklaces is 5.

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A figure cannot be reflected across three lines of reflection so the image is the original figure

Given is a statement -

"Can a figure be reflected across three lines of reflection so the image is the original figure".

No, a figure cannot be reflected across three lines of reflection so the image is the original figure. For the number of reflections equal to 3, which indicates an odd number of reflections changes the orientation of the figure.

Therefore, a figure cannot be reflected across three lines of reflection so the image is the original figure.

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She should make a 90° turn from the starting location. Taking this viewpoint will cut down on her trip time.

An angle is a figure in plane geometry that is created by 2 rays and lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Radius of lake= 2mi

walk rate= 4mi/h

boat speed= 2mi/h

cosθ=adj/hyp=d1/4

d1=4cosθ

The arc length from A to C

S=rθ

arc length is expressed as 2θ

S=2(2θ)

S=4θ=d2

d2=4θ

time= distance/speed

t1=d1/2= 4cosθ/2=2coθ

t2=d2/4=4θ/4=4

total time =t1+t2

T=2cosθ+θ

T(θ)=2cosθ+θ

T'(θ)= -2sinθ+1

0=-2sinθ+1

2sinθ=1

sinθ=1/2

T(π/6)=2.25hours

for 90 we have

T(π/2)=1.57hours

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Answer: 4 left

Step-by-step explanation:

36 divided by 90% = 40

40-36=4

The amount of money in her account after five years will be $1,292.74.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,

A = $1,200 × (1 + 0.015)⁵

Simplify the expression, then we have

A = $1,200 × (1.015)⁵

A = $1,200 × 1.07728

A = $1,292.74

The amount of money in her account after five years will be $1,292.74.

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Answer: 60.80

Step-by-step explanation:

you saved 19.20

Answer: 4.3%

Step-by-step explanation:

His accuracy was 22/23 which, as a percentage, is somewhere around 95-96%

To find his percentage error, you would do 1 - 22/23 (or the decimal- whichever you prefer)

1 - 22/23 ≈ 4.3% (as a decimal, it would be approximately 0.043)

If you're allowed to use a calculator, I recommend Desmos Scientific Calculator

I hope this helps!

By using the concept of distance, it can be calculated that

Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen

What is distance?

Distance is the length of the path travelled by an object during its motion.

Here,

For River Edge

Number of animals seen = 8

Length of hike =  3 km

Number of Animals seen per km = [tex]8 \div3[/tex] = 2.67

For Wooden Marsh

Number of animals seen = 24

Length of hike =  8 km

Number of Animals seen per km = 24 [tex]\div[/tex] 8 = 3

For Canyon Creek

Number of animals seen = 35

Length of hike =  15 km

Number of Animals seen per km = [tex]35 \div 15[/tex] =2.33

Number of animals in ascending order are 2.33, 2.67, 3

Canyon Creek, River Edge, Marshy Land is the required arrangement from the least to the greatest.

Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen

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Complete Question

Veronica went on three hikes. On each hike, she saw the following numbers of animals:

Rivers Edge 3 8

Wooded Marsh 8 24

Canyon Creek 15 35Veronica tried to order the hikes from least to greatest by number of animals seen per kilometer, but she made a mistake. Here's her work:

least greatest

8 24 35

rivers edge wooded marsh canyon creek

What was Veronica's mistake?

Answer:Yes

Step-by-step explanation:If two triangles have the same size and shape they are called congruent triangles.

Answer:

200+50x

Step-by-step explanation:

If Han's cell phone plan costs $200, Han will have to pay $200 at the start, and since Han has to pay $50 dollars each month, and x = months, we can create 50x for $50 each month. Put both of these together, and we get 200+50x.

The complete statements are

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Garrick's plant:

Zan's plant:

Garrick's plant is shorter than Zan's plant and the difference in heights is

Actual difference = 100 mm - 10 mm = 90 mm

Measured difference = 88 mm - 8 mm = 80 mm

The percentage errors are calculated using

Percentage errors = Difference/Actual measurement * 100%

So, we have

Garrick's actual error = (10 - 8)/10 *100% = 20%

Zan's actual error = (100 - 88)/10 * 100% = 12%

Hence, Garrick's measurement was 20% off and Zan's was 12% off.

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The value of x that the walkway will be equal to the area of the rectangular pool is 5 meters

Area of a rectangle is given by

length * width

Area of the pool

= 24 * 16

= 384

area of the walk way

= (24 + 2x) * (16 + 2x) - area of the pool

= 384 + 58x + 4x² - 384

= 4x² + 58x

when the area will be equal

4x² + 58x = 384

4x² + 58x - 384 = 0

solving the quadratic equation gives

x= 4.9386 OR -19.4386

ignore the negative value

x = 5 meters

at x = 5 meters the walkway will have same area with the pool

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Answer:

x= -3

y= 0

Step-by-step explanation:

3x-y= -9

   +y.   +y

3x= -9+y

+9   +9

3x+9=y

-2x+2(3x+9)=6

-2x+6x+18=6

4x+18=6

   -18 -18

4x= -12

/4.  /4

x= -3

3(-3)-y=-9

-9-y=-9

+9   +9

-y=0

/-1. /-1

y= 0

hopes this helps please mark brainliest

The variable costs  will increase or decrease with an increase in production.

A variable cost could be a corporate expense that changes in the extent to how much a company produces or offers. Variable costs increment or decrease depending on a company's generation or sales volume. When production or deals increment, variable costs increment; when generation or deals decrease, variable costs decrease. Variable costs stand in differentiate from settled costs, which don't alter the extent of production or sales volume. Variable costs are a central portion in deciding a product's contribution margin, the metric utilized to decide a company's break-even or target profit level.

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a) The Probability of getting a sum of 6 is 5/36.

b) The Probability of getting a sum of 10 is 1/12.

c) The Probability of getting a sum of 6 or 10 is 2/9.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty [Note 1][1][2]. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Probability = (number of desired outcomes / number of all possible outcomes)

Roll of Dice: Green and Red.

(a) The  probability of totaling 6:

Number of outcomes needed = 5

Therefore,

P(sum of 6) = 5/36

b) The probability that the total is 10

Number of outcomes required = 3

Therefore,

P(sum of 10) = 3 / 36 = 1/12

c) The probability that the sum is 6 or 10:

P(sum is 6) + P(sum is 10)

(5/36) + (1/12) = (5 + 3) / 36

= 8/36 = 2/9

The events are mutually exclusive because they do not all occur at the same time.

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The system of equations y = 2x + 4 when graphed have a solution that y = − (1/3)x − 1 is (3, - 2)

A straight line's general equation is -

y = (m)x + c

where -

The slope of the line, [m], indicates the unit rate at which [y] changes in relation to [x].

The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].

A straight line's equation can also be expressed as -

Ax + By + C = 0

By = - Ax - C

y = [tex](\frac{A}{B} - \frac{B}{C})x - \frac{A}{C}[/tex]

The set of equations is as follows:

y = − 2x + 4

AND

y = − [tex](\frac{1}{3} )[/tex]x − 1

Draw the graphs for these two equations. The answer to this system of equations would be near the intersection. Please see the following graph. These lines come together at (3, - 2)

As a result, y = 2x + 4 and is the system of equations that has been solved.

y = − [tex](\frac{1}{3} )[/tex]x − 1 is (3, - 2)

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The other two points on the line are (2, 7) and (4, 14).

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour

it is the slope.

∴ The equation of this line passing through point (1, 3.5) is,

3.5 = 3.5(1) + b.

b = 0.

So, y = 3.5x.

Now the other points can be obtained by choosing some integer values of x.

When x = 2, y = 7 ⇒ (2, 7).

When x = 4, y = 14 ⇒ (4, 14).

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Answer: If you wanted to know what 13x13, or the square of something is, then the value is 169. Or if you wanted to know the square root of 13, it would be about 3.606.

Step-by-step explanation: A square number is any number multiplied by itself = that number. For example, 12x12 = 144, which means the square root of 144 is 12, and the square number of 12 is 144.

The function equation represented by the graph is f(x)=1/4x-3.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=10x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=10 and b=4.

From the graph is possible to see the following coordinates points: (0,-3) and (4,-2). Applying the standard form for the linear equation, you can write:

-3=0*m+b (1)

-2=4*m+b (2)

-3=b        (1)

-2=4m+b (2)

If b=-3, you can find m from equation 2. Then,

-2=4m-3

-2+3=4m

1=4m

m=1/4

Therefore, the linear equation represented in the graph is y=1/4b -3

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The arithmetic mean is frequently used when discussing a bunch of numbers as being "average." One of three possible averages—the others being the median and the mode—is the one we're discussing here.

Mean minus Mode = 3 (Mean – Median)

For Given

Median, Mode, and Median Results: 95.85714 (Mean (Average)).

A middle value of 97

100 is the Mode (Most Popular)

Variety & Totals

Maximum to Minimum Results: 11

Total Numbers in the Set: 7

in descending order: 89, 92, 95, 97, 98, 100, 100

Ordered in decreasing order: 100,100,98,97,95,92,89

Even Numbers: 92, 98, 100, 100.

Odd Numbers: 89,95,97.

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No , When the scale factor is a greater than 1 the dilation will not be a reduction.

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.

Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size. We multiple the scale factor to get image.

When the scale factor is greater than 1 figure size increased.

Hence ,  When the scale factor is a greater than 1 the dilation will be a expansion

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Answer:

nope

Step-by-step explanation:

Answer: Yes (depends)

Step-by-step explanation: It depends because it can only be called "a square" if all sides are parallel, I can't tell. I hoped this helped you understand a little more :)