Mathematics High School

You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your third side can be?
@iGreen,

Answers

Answer 1
Th triangle inequality rule states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides. Therefore, with sides
A, B, and C:
Where A = 6 in
Where B = 8 in
C = ?

C < A + B
C < 6 + 8
C < 14

The answer must be expressed as a whole number, and 13 is the largest whole number less than 14. Therefore, the maximum length of the third side is 13 inches.

Related Questions

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra

Answers

A. x + 5=12
7x = 21

B. b - 2/3 = 5/6
1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

Answer:

One step equations

3 + x = 5 ___x = 2

Y + 14 = 20____x = 6

Equations with Fractions

4/5q = 32___q = 40

3/4x = 6___x = 8

Equation with decimals

3.2x – 2.7 = 1.2x___x = 1.35

Equation with distributive Property

7x + 3 (x + 1) = 10x + 3

Infinitely Many solutions

Real World Problem

Monica knows that she should spend no more than  1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?

Hope This Helps!

The temperature of a cup of coffee t minutes after it has been poured is described by the function
C(t) = 20 + 60(0.95)^t .
a. How many minutes does it take for the coffee to cool to a temperature of d degrees?
b. About how fast is the temperature dropping when t = 1?

Answers

a) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min


[tex]y = - x + 10 \\ y = x + 2[/tex]

Answers

The two ys must be the same. Equate the two right hand sides.

-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4

Now solve for y
y = x + 2
y = 4 + 2
y = 6

Use the other equation to check it.

y = - x + 10
y = -4 + 10
y = 6

Could I get the answer, all work and explanation for this problem?

Answers

[tex] \sqrt{50y^3x^{15}} = [/tex]

[tex] = \sqrt{25 \times 2 \times y^2 \times y \times x^{14} \times x} [/tex]

[tex] = 5|x^7y|\sqrt{2xy} [/tex]
A little sloppy but this is the answer and work you start off by breaking down the 50 then you count up the variables then last you get it all together and you have your answer

You are an accountant doing an audit for a law firm. A paralegal worked for a client for 5 hours per day for 3 days. The client was billed $50 per hour, and the paralegal was paid $30 per hour. After the paralegal’s wages were paid, what was the amount made by the law firm?

Answers

Total hours worked = 5 x 3 = 15 hours

Amount collected = 50 x 15 = $750
Amount paid to the paralegal = 30 x 15 = $450
Amount made by the firm = 750 - 450 = $300

Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who

Answers

The answer is that the meaning of reapers in the sentence is that "people who toil". This is a general name of a person that harvests a crop. They gather or cut those crop from a peace of land.

Answer:

people who toil

Step-by-step explanation:

The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.

please help me on this question
and explain.

Answers

Okay. For this question, basically all you have to do is plug in the domain values for x and solve from there. I'll help you with the first 3.

So 3/2 is equivalent to 1.5. A negative times a positive is a negative. -8 * 1.5 is -12. -12 + 4 is -8. That makes the ordered pair (-8, -8). To -4, -4 * 1.5 is -6. -6 + 4 is -2. That makes the ordered pair (-4, -2). Now to -2, -2 * 1.5 is -3. -3 + 4 is 1. That makes (-2, 1). If you solve for the other 3 values correctly, you other ordered pairs are (0, 4), (2, 7), and (4, 10). When graphed, the points should be plotted as shown in the attatchment. 

0.135 written as a fraction is _____.

Answers

0.135 = 135/1000 = 27 / 200
hope it helps

The decimal 0.135 can be written as 27/200 in fractions.

What is a Fraction?

A fraction is a number that can be expressed as p/q, where q is not equal to zero.

It is defined as part of the whole.

0.135 is a decimal and to convert into a fraction it has to be written as

=135/1000

On simplifying the fraction

=27/200

Therefore, the decimal 0.135 can be written as 27/200 in fractions.

To know more about Fraction

https://brainly.com/question/10354322

#SPJ2

Which ordered pairs are solutions to the inequality 2x+3y≥−1?

Answers

Final answer:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.

Explanation:

To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.

Let's solve the inequality for y:

2x + 3y ≥ -1

3y ≥ -1 - 2x

3y ≥ -2x - 1

y ≥ (-2/3)x - 1/3

Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:

Let's choose x = 0:

y ≥ (-2/3)(0) - 1/3

y ≥ 0 - 1/3

y ≥ -1/3

So one ordered pair that is a solution is (0, -1/3).

Let's choose x = 3:

y ≥ (-2/3)(3) - 1/3

y ≥ -2 - 1/3

y ≥ -7/3

So another ordered pair that is a solution is (3, -7/3).

Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.

Answers

Hi there!

In order to solve this problem, we need to simplify. 

2 * 3x - 2 * 4 = 5x + 6
6x - 8 = 5x + 6
-8 = -x + 6
8 = x - 6
14 = x

x = 14

Charlie's answer was not stated, so I don't know whether he was correct or not ;)

Hope this helps!

Factor completely 3x(x + 2) + 4(x + 2). (1 point)

(x + 2)(7x)
Prime
(x + 2)(3x + 4)
(x + 2)(12x) 

Answers

ANSWER

[tex](x + 2)(3x + 4)[/tex]

EXPLANATION

The given expression is

[tex]3x(x + 2) + 4(x + 2)[/tex]

We can see that (x+2) is the greatest common factor.

We factor to obtain;

[tex](x + 2)( 3x + 4)[/tex]

The correct choice is C.

Answer:

(x + 2) (3x + 4)

Step-by-step explanation:

I got it correct on my test

solve - 2 x 3 + 22 - 8 - 2 =


in a exponent 3 + 3 + 3 + 3 + 3

Answers

- 2(3) + 22 - 8 - 2= 
-6 + 12 = 
6

3 + 3 + 3 + 3 + 3 = 15

3 x 3 x 3 x 3 x 3 = 3^5  (because there are 5 threes multiplied together)

-2x^3 + 22 - 8 - 2 = 
-2x^3 + 12 

hope this helps
2 x 3 = 6 

6 + 22 = 28

28 - 8 = 20

20 - 2 = 18


3 + 3 + 3 + 3 + 3 as a exponent is [tex]3^{5} [/tex]

Because it says 3 5 times!

Hope this helped!

Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?

A)18
B)4
C)32
D)6

Answers

the answer is c)32 hope this helps



Answer is 18,
24/8 = 3
So
6x 3 = 18

How do I find x in this triangle?

Answers

Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!

Which transformations are rotations?
Choose all answers that are correct.

Answers

the pic doesn't show totally
I can't really see clearly but the second picture is definitely a transformation and if the first picture is on a graph then that is also a transformation

part one: How do you solve a system of equations approximately using graphs and tables?

part 2: A lake has a native population of 1,000 frogs. The native frog population increases at a rate of 200 frogs per year. A new species of 10 frogs migrates to the lake. This new species’ population increases at a rate of 50% per year. When will the two populations equal each other? Select to reveal each frog population’s growth model.

the rest: A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
This equation is a little more challenging to solve by algebraic methods. In this lesson, you will solve systems of equations like the one above approximately by effectively using technology and tables.

Answers

This problem can be solve by graphing (technology), as suggested. 
The answer is posted as an attached image.  We see that after about 14.75 years, the invading species will surpass the indigenous population.

If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75.  It is easier than you might think.

Post if you would like to have more information on one or the other methods.

Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.

At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

In the second week, he spent $2 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?



Round the answer to the nearest penny.

Enter your answer in the box.

$

Answers

The correct answer is:

$0.40.

Explanation:

To find the mean of the lunch costs for the first week, we first add together all of the amounts he spent on lunch that week:

$12.99+$10.50+$9.89+$6.90+$7.58 = $47.86.

Now we divide this by the number of lunches, 5:
47.86/5 = $9.572 ≈ $9.57.

The second week he spends a total of $2 more on lunch.  Adding this to the first week's total, we have:
47.86+2 = $49.86.

To find the mean, we divide this by the number of lunches in the second week, 5:
49.86/5 = $9.972 ≈ $9.97.

The mean increased from the first week to the second week by 9.97-9.57 = $0.40.

The increase in the mean for the second week compared to the first with the given parameters is; $0.40

What is the average increase?

Let us first find the mean of the lunch costs for the first week;

Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572

We are told that he spends a total of $2 more on lunch in the second week.  

Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.

Mean of second week = 49.86/5 = $9.972

The increase in the mean for the second week compared to the first is;

9.972 - 9.572 = $0.40

Read more about average increase at; https://brainly.com/question/11360390

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth

Answers

20.40 [tex] ft^{2} [/tex]

When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: [tex] a^{2} + b^{2} = c^{2} [/tex]

A = 20 
B= 4
C = ?

This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40[tex] ft^{2} [/tex]

Answer:

20.40

Step-by-step explanation:

Test Yourself

At the Roadside Restaurant, each milkshake comes with 2 straws.



Which equation shows the number of straws the restaurant will use if they serve m milkshakes?



Use t to represent the total number of straws used and m to represent the number of milkshakes served.


A.
t = 2m


B.
t = 2 + m


C.
t = 2 – m


D.
t =

Answers

The formula is A, t=2m. For example, let's say Mickey Mouse and Donald Duck go to the Roadside Restaurant and order three milkshakes, they would have six straws. You're able to find the number of straws by multiplying the number of milkshakes (m) by two. Since for every milkshake, you get two straws. In conclusion, yes, the answer is option A.

If you need more help, let me know!

Hope this helps! :-)

The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?

Answers

Final answer:

To find the value of the dependent variable, we use the point-slope form of the linear equation. Using the given slope of 5 and point (-7, 5), we first find the y-intercept to be 40. We then calculate the dependent variable's value to be 50 when the independent variable is 2.

Explanation:

The student has asked about the value of the dependent variable when the independent variable is 2 for a given linear function that has a slope of 5, and passes through the point (–7, 5). To find this value, one should use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, using the given point (–7, 5), we can find the y-intercept by substituting the slope and point into the equation:

y = 5x + b

5 = 5(-7) + b

b = 5 + 35

b = 40

So the equation of the line is y = 5x + 40. Now, to find the value of y when x is 2:

y = 5(2) + 40

y = 10 + 40

y = 50

Therefore, the value of the dependent variable when the independent variable is 2 is 50.

Select the scenarios that correctly represent the given graph.

Answers

Answers: The correct choices are the first two choice.

The graph shown is an exponential graph. From the first point to the second, it increase from 100 to 150. This is a 50% increase. This pattern continues throughout the chart.  

The first two choices give an increase of 50%. Or 1.5 times larger.

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).

The general form of an exponential function is

[tex]y=ab^x[/tex]            .... (1)

Where, a is the initial value and b is growth rate.

The initial value is 100 because the y-intercept of the graph is 100.

The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.

[tex]150=100b^1[/tex]

Divide both the sides by 100.

[tex]1.5=b[/tex]

The value of b is 1.5.

Substitute a=100 and b=1.5 in equation (1).

[tex]y=100(1.5)^x[/tex]

It means the value is 1.5 times larger in every unit of time.

It can be written as

[tex]y=100(1+0.5)^x[/tex]

It means the initial value increased by 50% per unit of time.

So, the required scenarios are

1. The amount of money in a bank account increased by 505 per year.

2. The amount of a substance is one and a half times larger after every minute.

Therefore the correct options are 1 and 2.

What is the value of n?

Enter your answer in the box.

n =

Answers

The answer is n = 4 I took the test. 

Answer:

The value of n is 4.

Step-by-step explanation:

Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then

[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]

Using the theorem of intersection of two cords, we get

[tex](n-2)\times 16=8\times (n+8)[/tex]

Use distribution property,

[tex]16n+32=8n+64[/tex]

[tex]16n-8n=64-32[/tex]

[tex]8n=32[/tex]

Divide both sides by 8.

[tex]n=\frac{32}{8}[/tex]

[tex]n=4[/tex]

Therefore the value of n is 4.

Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division

Answers

Final answer:

Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.

Explanation:

The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.

The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.

what is x in the equation
4(x+6)= 5(x+9)+4x?

Answers

Hello there!

4(x + 6) = 5( x + 9) + 4x

We wanna start with the distributive property

(4)(x) + (4)(6) = (5)(x) + (5)(9) + 4x

4x + 24 = 5x + 45 + 4x

4x + 24 = 9x + 45

Subtract 24 on both sides

4x + 24 - 24 = 9x + 45 - 24

4x = 9x + 21

Subtract 9x on both sides

4x - 9x = 9x + 21 - 9x

-5x = 21

Divide both sides by -5

-5x/-5 = 21/-5

x = -21/5

If (3x + 17) is equivalent to (4x - 8) what is x

Answers

set the two expressions equal to one another

3x  + 17 = 4x - 8

3x (-4x) + 17 (-17) = 4x (-4x) - 8 (-17)

-x = -8 - 17

-x = -25

-x(/-1) = -25(/-1)

x = 25

25 is your answer

hope this helps

Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.

Answers

Let's start by calculating how many students does 24% represent.
24% * 24 = 0.24 * 24 = 5.76
We got a decimal number as solution. The reason why exactly 24% students can't be in the play is because this percentage does not represent whole number of students. She can't take 0.76 students

If she wanted 25% students to be in a play it would mean she has to take:
25% * 24 = 0.25 *24 = 6 students

my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v

Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36

Answers

Answer C

to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n

where x is each term given in data set

n is number of terms = 7

mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114

now find (∑|x-mean|) = 138

MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20

Calculate the altitude of a triangle corresponding to its shortest side of it's area is 720cm², perimeter is 180cm and two of its sides are 80cm and 18cm.

Answers

Answer:
altitude = 80 cm

Explanation:
1- getting the third side:
We are given that:
perimeter of the triangle is 180 cm
Two of its sides are 80 cm and 18 cm
This means that:
180 = 80 + 18 + third side
third side = 180 - (80+18)
third side = 82 cm

2- deducing the shortest side that we will use to get the altitude:
We have the three sides of the triangle 80 cm, 18 cm and 82 cm
It is obvious that the shortest side is 18 cm
We will use this side to calculate the altitude since we are given that the altitude corresponds to the shortest side.

3- getting the altitude:
area of triangle = 0.5 * base * altitude
We have:
area of triangle = 720 cm²
base = 18 cm
Substitute to get the altitude as follows:
720 = 0.5 * 18 * altitude
720 = 9*altitude
altitude = 80 cm

Hope this helps :)

Carl borroowed $2,500 for six months at an annual interest rate
of 11%. How much must he repay at the end of six months?
a. $275
b. $2,637.50
c. $87.50
d. $2,762.50

Answers

I think your answer is A. 
I hope I helped!

ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?

2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?

Answers

1. 18 square feet
2. About 64.95meters or technically 64.95191
hope this helps!! :)
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Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct? What is Eleven less than two times a number is equal to 27 A primary purpose of the mayflower compact was to: In which city will the sun set? Which good, once consumed by an individual doesnt, reduce the ability of another individual to consume it? Migration in which people move to a series of increasingly more economically advantageous locations is referred to as KCl(aq) + AgF(aq) AgCl(s) + KF(aq) If 0.45 moles of potassium chloride are consumed completely and we start with twice as much silver fluoride, how many moles of solid silver chloride will be produced? 1, Explain the endosymbiotic theory of the origin of eukaryotic cells in your own words.2, Compare at least two characteristics of mitochondria to prokaryotic cells and explain how this relates to the endosymbiotic theory.3. Describe an example of endosymbiosis that has been observed and documented. Calculate the force on an object that has a mass of 12 kg and an acceleration of 4 m/s^2 which structure is part of the cell's skeleton What is liver mortis? how might this reveal information about the time of death? font family font size? At what temperature would a 1.50 m nacl solution freeze, given that the van't hoff factor for nacl is 1.9? kf for water is 1.86 c/m . A dna replication bubble forms at a specific sequence of bases called the ___________. see section 15.3 (page 321) . At the zoo, a chimpanzee has figured out how to use the right kind of stones to crack open the nuts thrown to him by spectators. his problem solving has been shaped by: Which sentence avouds using a pronoun reference error.. Jordan joined the band which was surprising suppose you can factor x^2 +bx +c as (x+p)(x+q) . If c Please help! Immigration can result in an increase in the supply of labor. Therefore, which can be a result of immigration? A. increase in the bargaining power of unions B. severe restrictions on citizenship C. passage of minimum-wage laws D. general decrease in wages Read the passage.CongratulationsAs you know, the position for which you are applying requires superlative problem-solving skills in a variety of arenas, and the ability to think critically on the fly is essential. To evaluate your ability in this area, the practical portion of the interview process consists of a series of locked-room puzzles. You will need to use all of your ingenuity to find the key to unlocking each room. There are six rooms total; four of the rooms will have individual time limits, while the remaining two rooms will be untimed. You will be observed by the interview team from a remote location, and your progress through the rooms will be recorded.Which phrase best describes how the employer uses language in this letter?to be vague and open to interpretationto demonstrate knowledge and authorityto clearly communicate expectationsto intimidate and keep the reader off balance The process of turning molecules that are ingested into forms that are compatible with the organism is _________. (Points : 2) digestion absorption assimilation circulation Ella looks forward to sophia coming to visit. sophia always has interesting stories to tell and often brings a book or a new toy. ella is looking forward to the _____ part of friendship.