Determine the slope from the table

Answer:

The correct option is C.

Step-by-step explanation:

Two figures are congruent if their corresponding sides are congruent.

We know that, reflection, rotation and translation are rigid transformation. It means the size and shape of image and preimage are same. We can say that in rigid transformation, the image and preimage are congruent.

Dilation is not a rigid transformation. It represents enlargement and compression.

If scale factor |k|>1, then it represent enlargement. If scale factor |k|<1, then it represent compression.

In option C, the scale factor is 4. It means the sides of image are 4 times of the preimage.

Therefore option C is correct and the resultant figure of option C  is not congruent to the original figure.

Answer:

p = 3

Step-by-step explanation:

distribute parenthesis on both sides of the equation

10p - 3p + 4 = 4p + 4 + 9 ( simplify both sides )

7p + 4 = 4p + 13 ( subtract 4p from both sides )

3p + 4 = 13 ( subtract 4 from both sides )

3p = 9 ( divide both sides by 3 )

p = 3

Answer:

Graph has a coefficient correlation r closest to -0.95 is the b).

Step-by-step explanation:

The correlation refers to the slope of a function and the sign indicates the direction to be linear the correlation informs us that it is inversely proportional

Taking some number  to realice

Y axis maximum 5

X axis maximum 5

Notice 5 is where cut axis y so b=5

Equation:

[tex]y=mx+b\\y=-0.95x + 5[/tex]

Replacing:

x1=1.25; x2=2.5; x3=3.8;

So:

(1.25, 3.8); (2.5, 2.625); (3.8, 1.39)  

Answer:

Option D) 33746

Step-by-step explanation:

Total shares: 800

Share price: $42.17

Commission charged: $10

Total price of shares: Total shares × share price

= 800 × 42.17 = 33736

Total Cost: Total price of shares + Total Commission charged

               = 33736 + 10 = $33746

Answer:

Around 3

Step-by-step explanation:

It is given that 1 sq. mile is equal to 640 acres.

Let's convert 190 million acres to sq. miles.

[tex]190,000,000*\frac{1Sq.Mi.}{640Acres}=296,875Sq.Mi.[/tex]

Taking Wyoming as a rectangle, we can find the area of Wyoming by multiplying length (352 miles) with width (278 miles).

Area of Wyoming is [tex]352*278=97,856[/tex]

To find the number of Whyoming's in total area of national forests, we divide the area of national forests (in sq. mi.) by the area of Wyoming ( in sq. mi.):

[tex]\frac{296,875}{97,856}=3.03[/tex]

So, around 3 Wyoming states' area will cover the area of national forests in US.

Answer:

57 miles per hour

Step-by-step explanation:

Speed is equal to distance over time

I changed the fractions to decimals for ease of math

distance = 370 .5 miles

time = 6.5 hours

Speed = 370.5/6.5 = 57 miles/hour

Answer:

7/20

Step-by-step explanation:

[tex]\frac{11}{20}+x=\frac{9}{10} \\x=\frac{7}{20}[/tex]

Answer:

x=7/20

Step-by-step explanation:

11/20 +x= 9/10

Subtract 11/20 from each side

 11/20-11/20 +x= 9/10-11/20

x = 9/10-11/20

We need a common denominator of 20

x = 9/10 *2/2 - 11/20

x =18/20 -11/20

x = 7/20

Answer:

5.106

Step-by-step explanation:

To start, sum is the addition of numbers. Therefore, 5 + 0.06 + 0.046 = 5.106

Answer:  He should put down $20450.

Step-by-step explanation:

Since we have given that

Amount he received on cost of goods sold = $19000

Amount he received on supplies = $1500

Amount he received on interest expense = $1250

Amount he paid as utilities expense = $1300

According to question, Edgar knows he needs to use an income summary account to use an income summary account to close out these temporary accounts,

So, Amount he should put down is given by

[tex]\$19000+\$1500+\$1250-\$1300\\\\=\$20450[/tex]

Hence, He should put down $20450.

Answer: 20450

Step-by-step explanation: Plato gang

Answer:

The y intercept is -54/7

Step-by-step explanation:

We can find the slope

m = (y2-y1)/(x2-x1)

   = (-2--7)/(-8--1)

   = (-2+7)/(-8+1)

    =5/-7

  = -5/7

We can use the point slope form of the equation to find the equation of the line

y-y1 = m(x-x1)

y--7 = -5/7 (x--1)

y+7 = -5/7 (x+1)

Distribute the -5/7

y+7 = -5/7 x - 5/7

Subtract 7 from each side

y+7-7= -5/7 x -5/7 -7

y = -5/7x -5/7 -7

Get a common denominator of 7

y = -5/7x -5/7 -49/7

y = -5/7x -54/7

This is in the form

y= mx+b, where b is the y intercept

The y intercept is -54/7

Answer:

Mixture

Step-by-step explanation:

The answer to the question is $12500.

Answer:

The unit costs are $0.77, $0.62 and $0.27 respectively.

Step-by-step explanation:

The unit price is simply the cost of the items divided by the amount of the items that are included. So, just take the cost and divide it.

$12.29/16 = $0.77 per unit

$19.98/32 = $0.62 per unit

$34.99/128 = $0.27 per unit

Answer:

p(x) = x³ - 7x² + 25x - 39

Step-by-step explanation:

complex roots occur as conjugate pairs, thus

2 + 3i is a root then 2 - 3i is also a root

given x = 3, x = 2 +3i, x = 2 - 3i are roots, then

(x - 3), (x - (2 + 3i))(x - (2 - 3i)) are the factors and

p(x) = a(x - 3)(x - 2 - 3i)(x - 2 + 3i) ← a is a multiplier

let a = 1

p(x) = (x - 3)((x - 2)² - 9i²)

       = (x - 3)(x² - 4x + 4 + 9) → [ i² = - 1 ]

       = (x - 3)(x² - 4x + 13)

       = x³ - 4x² + 13x - 3x² + 12x - 39

       = x³ - 7x² + 25x - 39

Answer:

The answer is A.

Step-by-step explanation:

When 892/16 was put into decimal form I ended up with 55.75.

That is a terminating decimal.

Terminating decimal ends after a few number of digits.

Answer:

A

Step-by-step explanation:

Answer:

B)3/8lb

Step-by-step explanation:

We have 3 lbs or trail mix.  We need to put it in 8 bags.

Take the pounds and divide by the bags.

3 lbs / 8 bags

Each bag will have 3/8 of a pound

Answer:

Pounds / bag = 3/8 = 3/8  of a pound per bag.

Step-by-step explanation:

What you are doing is saying that the total number of bags is 8

Each bag must contain the same amount of trail mix. So your units are pounds per bag. That is a very handy thing to know. It means that pounds is the numerator and bags is the denominator.

Answer B

Answer:

A

Step-by-step explanation:

n=-7m-4

14m+2n=-8  

Substitute the first equation into the second one/

14m + 2(-7m - 4) = - 8

14m - 14m - 8 = - 8

- 8 = - 8

This means than m can be anything, and therefore there are an infinite number of possible answers.

A

Answer: There are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

There are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Step-by-step explanation:

Since we have given that

Number of yards of red fabric purchased by Jane = 50

Number of yards of gold fabric purchased by Jane = 110

We need to find the largest number of curtains she can make if she wants all the curtains to be exactly the same length.

For this we will find H.C.F. of 50 and 110.

Factors of 50 = 1, 2, 5, 10, 25, 50.

Factors of 110 = 1, 2, 5, 10, 11, 22, 55, 110.

So, Highest common factor of 50 and 110 is 10.

So, there are 10 largest number of curtains she can make if she wants all the curtains to be exactly the same length.

Number of yards of red fabric is given by

[tex]\frac{50}{10}=5[/tex]

Number of yards of gold fabric is given by

[tex]\frac{110}{10}=11[/tex]

Hence, there are 5 red fabrics and 11 gold fabrics that would be used for each curtain.

Wangari plants trees at a rate of 4 trees per hour. The equation relating the number of trees planted (p) to the time spent planting (h) is p = 4h.

Equation for Trees Planted by Wangari

This tells us that Wangari plants 4 trees every hour. To write an equation that relates the number of trees (p) to the number of hours (h), we use the rate we found:

Here, p represents the number of trees planted and h represents the number of hours spent planting.

Gretchen can make  5 pillows with the fabric she has.

A fraction is a numerical quantity that represents a part of a whole. It consists of two numbers separated by a line, with the number on top called the numerator and the number on the bottom called the denominator

1 5/8 yards of fabric = 13/8 yards of fabric

8 1/4 yards of fabric = 33/4 yards of fabric

Number of pillows = (Total fabric) ÷ (Fabric per pillow)

Number of pillows = (33/4 yards of fabric) ÷ (13/8 yards of fabric per pillow)

Number of pillows = (33/4 yards of fabric) × (8/13 pillows per yard of fabric)

Number of pillows =5.076≈5

Hence, the greatest number of pillows she can make is 5, which corresponds to option (a) in the multiple choice list.

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Answer:

A.3/7

Step-by-step explanation:

1/2 - 1/14

We need to get a common denominator of 14

1/2 * 7/7 = 7/14

7/14 - 1/14 = 6/14

We can simplify by dividing the top and bottom by 2

3/7

The value of the expression 4g + 5h, when g = 1 and h = 4, is 24. Process of solving involves substitution of the given values into the expression and performing the arithmetic operations of multiplication and addition as per the order of operations.

You are looking for the value of the expression 4g + 5h when g = 1 and h = 4. This is a mathematics problem which requires you to substitute the given values of g and h into the expression and then simplify. Here are the steps:

Therefore, the value of the expression 4g + 5h when g = 1 and h=4 is 24.

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Final answer:

The amount of yearly depreciation for the table saw is calculated by subtracting the depreciated value from the original cost and dividing by the number of years, resulting in an amount of $105 per year.

Explanation:

The question involves calculating yearly depreciation of an asset, which is a common topic in accounting and finance sections of high school mathematics or business studies.

To find the amount of yearly depreciation, we subtract the end value of the asset after depreciation from its original cost and then divide by the number of years over which the depreciation occurred. In this case, we have:

Original cost of the saw = $735
Depreciated value after 2 years = $525

Depreciation over 2 years = Original cost - Depreciated value
Depreciation over 2 years = $735 - $525 = $210

Yearly depreciation = Depreciation over 2 years ÷ Number of years
Yearly depreciation = $210 ÷ 2 = $105

Therefore, the yearly depreciation of the table saw is $105, which corresponds to option A.

Put the numbers in the data set in order from smallest to largest:

44, 45, 45, 47, 49, 50, 50, 51, 55, 55, 55, 56

The smallest number is 44, the largest is 56, so the outside lines need to be above those numbers.

Both A and B have that.

Now find the median ( the average of the middle two numbers)

The middle two numbers from the list are 50 and 50 so the median would be (50 +50) /2 = 100/2 = 50

The middle line inside the rectangle needs to be above 50.

This makes the answer A.

The image does not represent any mathematical equation and both Val and Tia are incorrect. Hence the correct option is d.

The image shows a calculator with the following numbers entered:

1  1  =

1  1

1  1

1

The equal sign (=) is at the top, which means that the calculator is in input mode and not yet evaluating an equation.

Therefore, the image does not represent any mathematical equation and both Val and Tia are incorrect. Hence the correct option is d.

Complete question:

Val says that the model below represents the equation -2x+7 = 3x+(-4)

Tia says that the model represents the equation 7-2x = (-4)+3x

Who is correct, Val or Tia?

A:Only Val is correct.

B:Only Tia is Correct.

C:Both Val and Tia are correct.

D:Neither Val nor Tia is correct.

[tex]n-a\ number\\\\(n+9)^2=n^2+2(n)(9)+9^2=n^2+18n+81\\\\Used\ (a+b)^2=a^2+2ab+b^2[/tex]

Answer:

   (x+9)²

Step-by-step explanation:

The square of the sum of a number and 9 is in terms of x, is (x+9)²

Answer:

6/40 ; Simplified: 3/20

Step-by-step explanation:

Multiply the two fractions. Note that when multiplying, you do not need common denominators. Multiply straight across.

3/10 * 2/4 = 6/40

Simplify if needed. Divide common factors from both the numerator and denominator.

(6/40)/(2/2) = 3/20

~

Answer,

[tex]\frac{3}{20}[/tex]

Explanation,

[tex]\frac{3}{10}  * \frac{2}{4} = \frac{3}{20} \\[/tex]

[tex]\frac{3 * 2}{10 * 4} \\\\[/tex]

[tex]= \frac{6}{40}[/tex]

[tex]\frac{6/2}{40/2}[/tex][tex]

= \frac{3}{20}[/tex]

Hope This Helps :-)

Eddie ordered 8 pizzas and gave each person 3/5 of a pizza. By dividing the total amount of pizza by the amount each person gets, we determine that there are roughly 13 people at the party.

To solve this problem, you have to divide the total amount of pizza by the amount each person gets. Eddie ordered 8 pizzas and he is giving each person 3/5 of a pizza. To find the number of people, you simply divide the total pizza by the pizza each person gets. The calculation would look like this: 8 divided by (3/5) is equal to 8 * (5/3), which is equal to 40/3, roughly 13.33.

Since we can't have a fraction of a person at the party, we would round this down to 13 people.

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Answer:

Figures are objects that have the same shape, but may have different sizes.

Similar figures are figures that have the same shape but different sizes, with corresponding angles equal and side lengths proportional. This mathematical concept can be applied to many real-world and artistic comparisons.

The definition of similar figures in mathematics is that they are figures that have the same shape but may differ in size. This means that corresponding angles of similar figures are equal, and the lengths of corresponding sides are proportional. For example, all circles are similar to each other since they all have the same shape, regardless of their diameter. A real-world example can be seen when comparing photographs of objects that are the same shape but different sizes, such as a large elephant and a small toy elephant. Despite the size difference, if both are scaled versions of each other, they are considered similar figures.

The concept of similarity extends to various fields and contexts. In art analysis, similar figures may refer to recurring shapes or themes within artworks. An understanding of figure-ground perception, as seen in optical illusions like a vase or two faces, also plays on the concept of recognizing similar shapes within different contexts.