Mathematics High School

find the missing data item given the following values
25, 28, 21, x, 32

Answers

Answer 1
Is the question multiple choice?

Related Questions

If a polygon has eight sides then it is an octagon. True or False

Answers

This is true because octa- means 8

Defined by two lines or rays diverging from a common point.
A) arc
B) angle
C) parallel lines
D) perpendicular lines
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle
B) line segment
C) parallel lines
D) perpendicular lines

Answers

Answer:

1. Angle

2. Line Segment

Step-by-step explanation:

Two lines or rays diverging from a common point defines an 'angle', which is a figure forming from two rays starting from the same end-point.

Now, a figure bounded by two distinct end points which contain every point on the line between its end points defines a 'line segment'.

Hence, the answer are: Angle and Line Segment respectively.

Which of the following statements best describes the relationship between a line and a point in a plane?

Answers

Exactly one plane contains a given line and a point not on the line.The statement that best describes the relationship between a line and a point in a plane is that, there is exactly one plane containing a given line and a point not on the line. 
A line is an ongoing thing and a point is a specific location .

Which property is illustrated by the following equation?
- 10 + 8 = 8 + ( - 10 )

Answers

I believe it is commutative property cause the numbers didn't change instead they just switched places in the equation.

2 times as many as 8 is 16

Answers

Yes it is it is it's

Answer:

or 16 is the result of doubling 8

Step-by-step explanation:

Give an example of an open equation

Answers

an example would be x+4=8
one example would be x - 7 = -3 or 2x = 28

You are going to order some of your favorite cookies. If you order two boxes it will cost you $14. If you place an order for eight boxes it will cost you $26. Write an equation that represents the cost of ordering your favorite cookies.

Step 1: Decide what information represents your two points.
Hint: The points are in the format (number of boxes of cookies, cost) as these are your two variables.

Point 1: Point 2:


Step 2: Use your two points to write an equation.

Answers

this is alittle confusing but im guessing youre suppose to put 14 and 26 oin a numberline? so that would be why theres a point one and point two correct?
so im just gonna try and guess what the  equation might be ^-^

14 devided by 2=?
26 devided by 8=?
 then multiply the two answers to get the final answer.


(note im not trying to take points im just trying to help out a friend so im sorry if its wrong chika)
There are a multitude of ways to solve this, but to help you visualize it, we can use a graph to plot these points, and then form a line. Once we have a line, we can simply get the equation of the line to answer our question.

How do we plot the points?

We should obviously start out with a graph. We only need Quadrant I. We will let our x-axis (the horizontal axis) contain the number of boxes of cookies, and our y-axis (the vertical one) contain our prices.

We put our number of boxes on the x-axis because it is the independent variable, while the price per box goes on the y-axis because it is the dependent variable.

At this "point," we should be able to plot our numbers at the proper points. We can simply line up our "dot" (point) with the information given, so that Point 1 is (2 , 14) and Point 2 is (8 , 26). We know that information from the prompt.

Now, we simply need to draw a line that connects these 2 points.

Once we have done that, we need to remember the equation for a line. This is "y=mx+b" where "m" is our slope and "b" is our y-intercept. Our slope is going to be in a fraction with the format  [tex] \frac{rise}{run}[/tex], or the change in the y-value over the change in the x-value. 

When we work this out, we will find that the equation for this is y=2x+10.

Below, I have attached an image of the graph that we should make while doing this. Note that this graph "goes by 2s." The red point represents 2 boxes for 14 dollars. The blue point represents 8 boxes for 26 dollars. The green line represents the relationship between them.

Mr. rancher wants to build a pen for his horse. he wants the pen to be 40 yards long and 50 yards wide. if the fencing comes in 5 foot pieces, how many pieces does mr. rancher need to buy?

Answers

(50 x 2) + (40 x 2) = 180 yards x 3 = 540 feet of fence needed. 540 / 5 = 108. He will need 108 pieces of fencing 

There are 36 pieces need to buy by Mr. rancher.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The length of pen for his horse = 40 yards

The width of pen for his horse = 50 yards

And, The fencing comes in 5 foot pieces,

Now,

The perimeter of the pen for his horse = 2 (50 + 40)

                                                            = 2 x 90

                                                            = 180 yards

Since, The fencing comes in 5 foot pieces,

Hence, Number of pieces to buy by Mr. rancher = 180 / 5

                                                                          = 36

Thus, There are 36 pieces need to buy by Mr. rancher.

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Write an equation for the line through p that is parallel to l and perpendicular to l

Answers

well the equation can't be paralle and perpendicular to I at the same tjme

There are entrees available at a restaurant. from these, archie is to choose for his party. how many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?

Answers

he can choose as follows:
Only 1 entree: 3 groups
Only 2 entrees: 3 groups
All the 3 entrees: 1 group

total groups of entrees= 3 + 3 + 1 = 7 groups


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The sum of two numbers is 154. if four timesfour times the smaller number is subtracted from the larger​ number, the result is 14. find the two numbers.

Answers

....................................

Need help! Please. It could be a integer or a decimal

Answers

It could be a integer

What can you infer about elements that are in the same group?
a. they will have the same atomic mass
b. they will display similar chemical and physical properties
c. they will contain the same number of protons
d. they will emit x rays of similar frequency

Answers

b.

Elements of the same group in the Periodic Table will have similar chemical and physical properties.

Answer:

b.They will display similar chemical and physical properties.

Step-by-step explanation:

We have to find about the elements that are in the same group.

In modern periodic table

Elements are arranged in group according to similar properties.

The elements which have same properties are placed in the same group and mass of different elements are different in the group.

The outer electronic configuration of every element in the same group are same.

Therefore, the physical and chemical properties of the elements are same in the group.

Hence, option B is true.

Answer:b.They will display similar chemical and physical properties.

Kaitlin drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles?

Answers

260 miles/12 gallons ≈21.7 miles per gallon
286 miles ÷ 21.7 ≈ 13.2 gallons needed

Students received these scores: 70, 75, 80, 90, 95, 95, and 100. the score of 95 is what?

Answers

95 is the mode because there is the largest quantity of it

confused how do i create this?

Answers

Here's one way to construct the second triangle. See the attached image. 

I need math help. Look at the attachment. No multiple choice.

Answers

there are 4 quarters per year

 if annual rate = 8%

 quarterly rate would be 8%/4 = 2%

 so the (1+r) beomes (1+0.02) = 1.02

The formula for the area of a triangle is a = 1 2 bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 192 mm2 and the height is 16 mm, what is the measure of the base?

Answers

so first what you would do is take 192(2)=384 and then take 384/16=24 hope this help ;)

Thirty-one books are arranged from left to right in order of increasing prices. The price of each book differs by $2 from that of each adjacent book. The price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. Give an expression for the cost of the $n$th book in terms of $n$

Answers

The answer for this problem is 2 since it is not specified whether it is adjacent to the right or adjacent to the left.
If it is adjacent to the right, the answer is:

p (k) = 2 * p(1) + 2 * k

If the is adjacent to the left, the answer is:

P (k) = 2 *p(1) +2 * (k-2)

juan drives to work. Due to traffic, he averages 22 miles per hour. He returns home averaging 32 per hour. The total time is 22.5 hours. Write and solve an equation to find the time juan spends driving to work.

Answers

32(22*22.5)

Hope I helped out

Jeff Simmons sold 27 cars last month.This 36 fewer cars than he sold during the same time period one year ago

Answers

I believe you meant to say "How many cars did Jeff sell last month one year ago?" at the end.
If that is the case, then the answer would be 63.
27+36=63

Marianna buys a snack combo for $2.50 if the sales tax rate is 8% what is the total price of the combo including tax

Answers

there are a couple of ways to do this...

(1) 2.50 + 0.08(2.50) = 2.50 + 0.20 = 2.70 <=
or 
(2) 2.50 (1.08) = 2.70 <=

either way, u get the same answer

To find the total price of an item including sales tax, convert the tax rate to a decimal and multiply by the item's cost. The total cost for a $2.50 snack combo with an 8% tax is $2.70.

The question involves calculating the total price of an item including sales tax. To find the total cost including tax, we need to first figure out the amount of sales tax by converting the tax rate from a percent to a decimal. Then, we will multiply this decimal by the initial cost of the item to get the tax amount.

Here's a step-by-step explanation using the provided example:

Convert the sales tax rate from a percent to a decimal: 8% as a decimal is 0.08.Multiply the decimal tax rate by the cost of the item: 0.08 \\times $2.50 = $0.20.Add the tax to the initial cost to get the total price: $2.50 + $0.20 = $2.70.

Therefore, the total price of the snack combo including an 8% sales tax is $2.70.

if a 40-foot tree casts a 12-foot shadow,find the length of a shadow cast by a 23-foot tree

Answers

ratio and proportion

shadow:length=12:40=3:10

if length is 23 then
3:10=?:23
3/10=?/23
multiply both sides by 23
69/10=?
6.9=?

6.9ft is the shadow length

The length of the shadow cast by the 23 feet tree is 6.9 feet

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the height of the tree A = 40 feet

The height of the shadow of the tree A = 12 feet

Now ,

The height of the tree B = 23 feet

Let the height of the shadow of the tree B = x

So , the proportion equation is

height of the shadow of the tree A  / height of the tree A = height of the shadow of the tree B / height of the tree B

And the proportion will be ,

12 / 40 = x / 23

Multiply by 23 on both sides , we get

x = ( 12 × 23 ) / 40

x = ( 3 × 23 ) / 10

x = 69 / 10

x = 6.9 feet

Therefore , the value of x is 6.9 feet

Hence , The length of the shadow cast by the 23 feet tree is 6.9 feet

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The clean up hitter on a baseball tean batted 1/3 of the runs the team scored. The hitter batted in 3 runs. Select the equation that represents the number of n of runs the team scored. Then solve the equation:

A.1/3n=3
B.n/3=1/3
C.3n=1/3
D.3n=9

Answers

The number of runs the team scored is n. The clean up hitter batted in 1/3 of the runs. The clean up hitter batted in 3 runs. We can use this information to set up an equation. 1/3 (number of runs) = 3 1/3 (n) = 3 n = 9 The team scored 9 runs. The correct answer is A. 1/3 (n) = 3

What is the answer for 7-2n=n-14

Answers

the answer is as such: n=7
Hey! Hope that I can help.

Prove that a triangle with sides n^2 1, n^2 - 1 and 2n (for n > 1) is a right triangle

Answers

Hello,

You have lost a sign "+".
[tex](n^2-1)^2+(2n)^2\\ =n^4-2n^2+1-4n^2\\ =n^4+2n^2+1\\ =(n^2+1)^2 [/tex]

Theorem of Pythagore is verified in this case: the triangle is a right one

Alan drove 756 miles in 12 hours. at the same rate, how many miles would he drive in 8 hours?

Answers

First find the unit rate, or how many miles he drives per hr.
756 mi/12 hrs= 63 mph

Multiply the speed by time to get distance.
63 mph* 8 hrs= 504 mi

Final answer: 504 mi

Final answer:

Alan would drive 504 miles in 8 hours.

Explanation:

To find out how many miles Alan would drive in 8 hours, we can set up a proportion using the information given. Since Alan drove 756 miles in 12 hours, we can write the proportion as:

12 hours / 756 miles = 8 hours / x miles.



To solve for x, we can cross-multiply and then divide:



12 * x = 8 * 756



x = (8 * 756) / 12



x = 504



Therefore, Alan would drive 504 miles in 8 hours.

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Kim estimates that the faucet in her kitchen drips at a rate of 1 drop every 2 seconds. Erik wants to know how many times the faucet drios in a week

Answers

302400. the amount of seconds in a week divided by 2

In a lottery, a 4 digit number from 0000 to 9999 is randomly selected. Find the probability that the number selected begins with a 3 and ends in a 2 or 0.

Answers

Since the choices is from 0000 to 9999, therefore there are a total of 10,000 possibilities.

 

The possibilities that the number begins with a 3 and ends in a 2 or 0 is:

possibilities = 1 * 10 * 10 * 1 + 1 * 10 * 10 * 1 = 200

 

Therefore the probability is:

P = 200 / 10,000 = 0.02 = 2%

 

So there is a 2% probability.

Final answer:

The probability that a randomly selected 4-digit number begins with a 3 and ends with a 2 or 0 is 0.0200 or 2%.

Explanation:

To find the probability that a randomly selected 4-digit number begins with a 3 and ends in a 2 or 0, we can use the rule of product for independent events. Since the first digit must be 3, there is one choice for the first digit. For the second and third digits, they can be any number from 0 to 9, so we have 10 choices for each. The last digit can be either 2 or 0, which provides 2 possibilities.

Thus, the total number of favorable outcomes is 1 (for the first digit) × 10 (for the second digit) × 10 (for the third digit) × 2 (for the last digit) = 200 favorable outcomes. The total number of possible 4-digit numbers is 10000 (ranging from 0000 to 9999).

So the probability is calculated as the number of favorable outcomes divided by the number of total possible outcomes: Probability = 200 / 10000 = 0.02. After rounding to four decimal places, as instructed, the probability is 0.0200 or 2%.

When the blue trapezoid is translated to the green one, the new coordinates of the point (0, 0) will be



A) (-6, -2).

B) (-2, -8).

C) (-8, -6).

D) (-6, -8).

Answers

ur point (0,0) on the blue shape, when translated to the green shape, becomes (-6,-8)

Answer:  The correct option is (D) (-6, -8).

Step-by-step explanation:  we are given to find the new co-ordinates of the point (0, 0) when  blue trapezoid is translated to the green one in the figure.

As shown in the given figure, to translate blue trapezoid to green one,

the x-coordinate of each vertex of blue trapezoid is decreased by 6 units,

and

the y-coordinate of each vertex of blue trapezoid is decreased by  8 units.

So, the new co-ordinates of the point (0 0) becomes

(0, 0)  ⇒  (0-6, 0-8) = (-6, -8).

Therefore, the new co-ordinates of the point (0 0) are (-6, -8).

Thus, (D) is the correct option.

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