What is BC?
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Answer:

x=-16

Step-by-step explanation:

x/2+3=-5

Subtract 3 from each side

x/2+3-3=-5-3

x/2 = -8

Multiply each side by 2

x/2*2 = -8*2

x = -16

Answer:

1st and last group represent similar figures.

Step-by-step explanation:

We have been given a graph. We are asked to find the similar figures.

We can see that triangles in the 1st group are similar triangles as the measure of their corresponding angles are equal.

We can see that rectangle in the last group are also similar as the sides of the yellow rectangle is 2 times the sides of smaller rectangle, therefore, last pair is also similar.

Therefore, 1st and last group represent similar figures.

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 equation of line CD in standard form is;

B: 5x - 3y = 30

Formula for slope of line between two coordinates is;

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

Thus, slope of line CD is;

m = (0 - (-5))/(6 - 3)

m = 5/3

c is y - intercept which is when x = 0.

Point D gives us the x-intercept because y is zero.

Thus;

0 = (5/3)(6) + c

c = -10

Thus, the equation of the line CD is;

y = (5/3)x - 10

Multiply through by 3 to get;

3y = 5x - 30

>> 5x - 3y = 30

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Answer:

Look Below

Step-by-step explanation:

I'm not going to do any of these, i'll just set up the equation for you to find x.

9. 75+x=90

10. x+22=180

11. x=84

12. 82+78+x=180

13. (4x+3)+(x-8)=90

14. (8x+9)+(5x+15)=180 (This was hard to read, check to see if I typed it right.)

15. 2x+4+140=180

16. 4x-13=67+2x

17. 9x+7=115

18. 12x=60

19. 4x=x+21

20. 5x+12+73=180

[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:

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:

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:

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

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:

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

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.

Answer:

(x+4,y+5)

Step-by-step explanation:

If you look at the differences in the x and y rows t=you can see that x is added 4 each time and y is add 5 each time.

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:

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:

an=3n+14

Step-by-step explanation:

Use the formula  

an=a1+d(n−1)  to identify the arithmetic sequence.

an=3n+14

The standard form of the

An arithmetic sequence is formed by adding a constant value to each term. In this case, the first term is 17 and the common difference is 3 (since we add 3 to each term to get the next term).

The standard form of an arithmetic sequence is:

an = a1 + (n-1)d

Where:

Let's calculate the standard form for the given arithmetic sequence:

an = 17 + (n-1)3

So, the standard form of the arithmetic sequence 17, 20, 23, 26... is an = 17 + 3(n-1).

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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:

The ordered pair that is on the line is​ (−5,−6) ​

Step-by-step explanation: You have to substitute...

Soooo....

(1,-32):

3x − 4y = 9

3(1) - 4(-32) = 9

3 + 128 = 9

131 = 9

NO

(-1,3):

3x − 4y = 9

3(-1) - 4(3) = 9

-3 - 12 = 9

-15 = 9

NO

(-5, -6)

3x − 4y = 9

3(-5) - 4(-6) = 9

-15 + 24 = 9

9 = 9

YES

(23, -74)

3x − 4y = 9

3(23) - 4(-74) = 9

69 + 296 = 9

365 = 9

NO

By substituting the x and y values from the given ordered pairs into the equation, we find that the only ordered pair on the line represented by the equation 3x−4y=9 is (-5,-6).

The equation 3x−4y=9 represents a line on a coordinate plane, and ordered pairs (x, y) are points on this plane. To determine which given ordered pairs are on the line, we substitute each x and y value into the equation.

The only correct ordered pair on the line 3x−4y=9 is (-5,-6).

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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

You didn't specify which problems you needed and you are only allowed to submit three questions in one posting so I chose to solve 1, 3, and 5.

NOTES:

Inverse means to swap the x's and y's and solve for "y"

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1. Answer: y = [tex]\frac{2x+4}{3}[/tex]

Step-by-step explanation:

y = [tex]\frac{-4+3x}{2}[/tex]

swap: x = [tex]\frac{-4+3y}{2}[/tex]

         2x = -4 + 3y

   2x + 4 =        3y

   [tex]\frac{2x+4}{3}[/tex] =         y

3. Answer: y = -3(x - 1)

Step-by-step explanation:

y = [tex]-\frac{1}{3}x[/tex] + 1

swap: x = [tex]-\frac{1}{3}y[/tex] + 1

     x - 1 = [tex]-\frac{1}{3}y[/tex]

  -3(x - 1) = y

5. Answer: y = [tex]-\frac{4}{9}[/tex](x - 4)

Step-by-step explanation:

y = 4 - [tex]\frac{9}{4}x[/tex]

swap: x = 4 - [tex]\frac{9}{4}y[/tex]

    x - 4 =      [tex]-\frac{9}{4}y[/tex]

 [tex]-\frac{4}{9}[/tex](x - 4) =      y

Answer:

#1 is -1

Step-by-step explanation:

The answer to Problem 1 is the number -1. You use PEMDAS to evaluate division first, then you subtract later.

For problem 2, we combine like terms to get this answer: -4a+b. You only add the 'a' terms together, same with the 'b' terms. Think of it like having 2 books and add on 3 more books. We can write that as 2b+3b = 5b. So we have 5 books total.

Problem 3) The answer here is 1.2n after adding n to 0.2n. Think of the first n as 1n or 1.0n

Problem 4) Divide both sides by 15 and you end up with the answer a = 2

Problem 5) Answer: 31.4 This answer is found by multiplying the diameter (10) by the approximate value for pi (3.14). The formula is C = pi*d

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.

Answer:

23.45

5

Step-by-step explanation:

53.70-9.60 is 46.90

46.90 divided by 2 is 23.45

Each friend paid $22.05 before the tip.

Keith and Michelle's dinner bill is a mathematics problem that can be solved by subtracting the tip from the total bill to find the cost of the meal alone and then dividing that amount by two to find out how much each friend has to pay without the tip.

First, we subtract the combined tip of $9.60 from the total cost of the meal, which was $53.70. This gives us the cost of the meal before the tip was added:

$53.70 - $9.60 = $44.10

Next, since Keith and Michelle spent an equal amount, we divide the cost of the meal by 2 to find out how much each friend pays:

$44.10 / 2 = $22.05

So, each friend paid $22.05 for the meal before adding in the tip.

Answer:

5 hours

Step-by-step explanation:

Let x be the number of hours.

18x=90

Divide by 18 on each side

x=5

Final answer:

Corey can rent the canoe for 5 hours with his $90 by setting up and solving the linear equation 18x = 90.

Explanation:

To determine how many hours Corey can rent a canoe, given that he has $90 to spend and the rental cost is $18 per hour, we can set up a linear equation. We let x represent the number of hours Corey can rent the canoe for.

The equation is simply 18x = 90, where 18 represents the hourly rental rate of the canoe and 90 represents the total amount Corey has to spend.

To solve for x, we divide both sides of the equation by 18:

18x / 18 = 90 / 18

x = 5

So, Corey can rent the canoe for 5 hours with his $90.

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:

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:

Explicit formula

f(n) = 2*2⁽ⁿ⁻¹⁾

Recursive formula                  

f(n) = aₙ₋₁ * r

Step-by-step explanation:

Since, Nathan has two parents, four grandparents, and so on, it would form a Geometric Progression (GP) series for the number of Nathan's ancestors as below:-

2, 4, 8, 16, 32, ....

First term (a₁) = 2

Common Ratio (r) = [tex]\frac{a_{2} }{a_1}[/tex]

                             = [tex]\frac{4}{2}[/tex]

                             = 2

So,

Number of ancestors of Nathan if we go back n generations = a₁r⁽ⁿ⁻¹⁾

Plugging in the values of a₁ and r, we get

f(n) = 2*2⁽ⁿ⁻¹⁾                       [Explicit formula]

Now,

A geometric progression (GP) series is of the form,

a, ar, ar², ar³, ar⁴, ar⁵........  

in which the first term a₁=a and other the terms are obtained by multiplying with r.

Observe that each term is r times the previous term. So, to get the [tex]n_{th}[/tex] term, we multiply [tex](n-1)_{th}[/tex] term by r.

i.e. aₙ = aₙ₋₁ * r    

=> f(n) = aₙ₋₁ * r                     [Recursive formula]                                                                                      

Answer:

10

Step-by-step explanation:

Answer:

b) 6.7

Step-by-step explanation:

Point M has the coordinates (2, -3)

Point N has the coordinates (8, -6)

The length of the segment MN is computed as follows:

L =√[ (xN - xM)² + (yN - yM)² ]

L =√[ (8 - 2)² + (-6 - (-3))² ]

L =√[ 36 + 9 ]

L = 6.7

The answer to the question is $12500.