What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, .
A. 4
B. -4
C. 34
D. 54

Answer:

$40

Step-by-step explanation:

Answer:

1. The mode. 2. See below

Step-by-step explanation:

1. To find the mean, you need to add all the numbers up. So, add 24, 27, 31, 32, 36, 36, 36, 39, 40, 58, 58, and 59 to get 503. Then, you need to divide 503 by how many numbers there are, which in this case is 12. So, 503/12 ≈ 42. This number is rounded because it is a repeating decimal. The median is the middle number of the set when it is lined up in order of lowest to highest. In this case, we would need to add up the two middle numbers, 36 + 36, and divide by 2 to find the median. This is 54. The mode is the number that shows up most often. Here, this is 36. In this case, the mode best represents the data because the other two numbers are a bit too high.

2. Add 90 + 90 + 91 + 93 + 99 + 102 + 102 + 105 + 120 + 123 + 128 + 128 + 129 = 1523. Divide by 13 to get approximately 117, which is rounded because it is an ongoing decimal. The median is 102. In this case, we have 3 modes because more than one number occurs two times, so the modes are 90, 102, and 128. This one I'm unsure on since I haven't done this stuff in a while, and that's up to you. The modes give a pretty accurate representation of the range of the data, but then again so does the median and mean. It's up to you and what you've been taught.

Answer:

y=1/2x+1/2

m=1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,3) and (-3,-1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.

Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=

-1 - 3 over

-3 - 5

or...

m=

-4 over

-8

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,3). When x of the line is 5, y of the line must be 3.

(-3,-1). When x of the line is -3, y of the line must be -1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.

(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(5,3) and (-3,-1)

is

y=1/2x+1/2

Answer : 2.5 cups per dollar

Step-by-step explanation:

You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups

Answer:

10

Step-by-step explanation:

½ x + 5 = 10

½ x = 10 – 5

x = 5 x 2

x = 10

follow my account ^^

Answer:

1 solution

Step-by-step explanation:

There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).

Answer:

Either no solutions or infinite..

Step-by-step explanation:

I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.

Answer:

I believe because everything adds to 180

Answer:

A

Step-by-step explanation:

Total amount of extra money needed to be raised

= $483.62 -$218.25

= $265.37

Since each student raises the same amount and there are 17 students, $265.37 would be shared equally amongst the 17 students.

Amount of money each student must raise

= $265.37 ÷17

= $15.61

Answer:

The answer is C

Step-by-step explanation:

How do I know?

Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)

 Please don't forget to mark me brainliest.

Answer:

y = - 3x + 4

Step-by-step explanation:

Line is passing through the points (1, 1) & (0, 4)

Slope of line = (4-1)/(0-1) = 3/(-1) = - 3

Equation of line

y = mx + b

Here m = - 3, b = 4

y = - 3x + 4

Using point (1, 1)

y - 1= - 3(x - 1)

y = - 3x +3 +1

y = - 3x + 4

Answer:

x = 5, y = -2

Step-by-step explanation:

2x + 5y = 0 --- Equation 1

Equation 1×3: 6x + 15y = 0 --- Equation 2

3x - 4y = 23 --- Equation 3

Equation 3×2: 6x - 8y = 46 --- Equation 3

We will be eliminating 6x from Equation 2.

Equation 3-2: 6x - 8y - 6x - 15y = 46-0

-23y = 46

y = 46 ÷ -23

y = -2

Substitute y = -2 into Equation 1:

2x + 5y = 0

2x + 5(-2) = 0

2x + (-10) = 0

2x - 10 = 0

2x = 10

x = 10 ÷ 2

x = 5

Answer:

47

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

180 = 47 + 70 + x

180 = 117 + x

180 - 117 = x

63 = x

Answer:

1,184.00

Step-by-step explanation:

used a calculator

Answer:

48 cubic feet

Step-by-step explanation:

Answer:

The answer is 48ft

Step-by-step explanation:

Hope this helps

Answer:

Tobias repayed a total of $7,200.

Step-by-step explanation:

If Tobias borrowed $20,000, and the annual interest rate is 9% of this per year, then we need to find 9% of 20,000.

20,000 x 0.09 = 1,800

Therefore, the yearly interest rate is $1,800. Now, we need to multiply this by 4.

1,800 x 4 = 7,200

Therefore, Tobias repayed a total of $7,200.

Hope this helps! :D

Answer:

Average rate of change = 3

Step-by-step explanation:

here   a = -3 and b = 4

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Answer:

71/50

Step-by-step explanation:

142                                                                                                                             100

Both numbers are even. Divide by two.

71                                                                                                                           50

Can't be simplified any further

Make it a mixed number.

1  21/50

The number 142 % in mixed number form is 1 21/50

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

The number given is = 142 %

On simplifying , we get

142 % = 100 % + 42%

We know that 100 % = 1

So ,

42 % = 42 / 100

Divide by 2 on both numerator and denominator , we get

21 / 50

So , the number 142 % is written as 1 21/50

Or ,

Simplifying 142 / 100 , we get

142 / 100 = 71 / 50

Converting 71 / 50 into mixed number , we get 21 as the remainder ,

Therefore , the mixed number form of 71 / 50 is 1 21/50

Hence , the mixed number form is 1 21/50

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Answer: Distance

5

Midpoint

(

2

,

0.5

)

Slope

−

I

n

f

∈

i

t

y

Tiger found no solution.

See steps

y intercept

I

n

f

∈

i

t

y

See steps

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(2+2)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(3+-2)/2=0.5

The midpoint is: (2,0.5)

Graphing the two points, midpoint and distance

P1 (2,3)

P2 (2,-2)

Midpoint (2,0.5)

The length of the black line is the distance between the points (5)

Step-by-step explanation:

Answer: x=3, p/2,-p/2

Step-by-step explanation:

it's hard to explain, so let me know if you really want me to explain.

Answer: D I think?

Step-by-step explanation:

Answer:

00-99

Step-by-step explanation:

I got a 90% hope this wasn’t the one I got wrong :)

Answer:

A.

Step-by-step explanation:

00-99

Answer:

11/4

Step-by-step explanation:

4/4 is 1 whole.

We have 2 whole.

So, right now we have: 8/4

We can't forget about the 3/4!

8/4+3/4=11/4

This means your total is 11/4

Hope this helps you out!

-AxekickNebulite

The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].

Used the concept of the fraction that states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].

Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex]  into an improper fraction as,

[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]

[tex]= \dfrac{11}{4}[/tex]

Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].

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Answer:

1 1/10 or 11/10

Step-by-step explanation:

Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.

Answer:

1.1 Inches

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. To get the common denominator I multiplied 3/5 by 2/2 to get 6/10 and I multiplied 1/2 by 5/5 to get 5/10 now that they have a common denominator you can add and you get 11/10 = 1.1

Answer:

AC = 23

BD = 23

Step-by-step explanation:

ABCD is a rectangle,

AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

7x - 40 = 2x + 5

7x - 2x = 5 + 40

5x = 45

x = 45/5

x = 9

BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23

AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23

Answer:

it has 2 lines of symmetry 1 going across it diagonally and 1 going straight through the middle.

Step-by-step explanation: