Two sides of a triangle have lengths of 7 and 15. Which inequality represents the possible lengths for the third side?

A) 8 < x < 7
B) 7 < x <15
C) 8 < x < 15
D) 8 < x <22

Answers

Answer 1

Answer:

D

Step-by-step explanation:

From the triangle inequality, we know that the two small sides must be greater than the largest side. Let's let x be the third side:

[tex]7+15>x[/tex]

However, 15 can also be our largest side. So:

[tex]7+x>15[/tex]

Let's solve for x for both inequalities.

First inequality:

[tex]7+15>x[/tex]

Add:

[tex]22>x[/tex]

Flip:

[tex]x<22[/tex]

Second inequality:

[tex]7+x>15[/tex]

Subtract 7 from both sides:

[tex]x>8[/tex]

So, we have the compound inequality:

[tex]x>8\text{ and } x<22[/tex]

Combine:

[tex]8<x<22[/tex]

Our answer is D

And we're done!


Related Questions

Given the following expression:

2x−13−3x+74

Which of the following is equivalent to the expression?


A)x+8

B)−x−2512

C)5x−114

D)−x+1712

Answers

2x-13-3x+74 x+8 is your answer

Answer

Step-by-step explanation:  it would be A). x+8

Lamar puts 3 cantaloupes that each weigh 2 pounds onto a scale. He adds 3 bunches of bananas that each have the same weight to the scale. If the total weight of the fruit is 18 pounds, what is the weight of one bunch of bananas? Write the equation and solve for the unknown.

Answers

4 is the weight of one bunch 6X4=18.

The answer iss 4 => so yes

Use the model to solve for x.
Please help me I will give out extra points and the brain thing.

Answers

Answer:

x = 7/3

Step-by-step explanation:

3x - 2 =5

Add 2 to each side

3x-2+2 = 5+2

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

Answer:

x = 7/3

Step-by-step explanation:

So there's 3 x's, two -1s and 5 +1s.

3x + (2 * -1)  = (5 * 1)

Multiply 2 times -1 and 5 times 1.

3x - 2 = 5

Add 2 to both sides (to cancel out the minus 2.)

3x - 2 + 2 = 5 + 2

3x - 0 = 7

3x = 7

Now, divide both sides by 3 to get the x by itself (so you end up with x = something).

(3x)/3 = 7/3

3/3 simplifies to 1 so you end up with:

x = 7/3

Please mark as Brainliest! :)

Find the product: (-8)(-6) =

Answers

+48 or just 48 as the minus signs as they are multiplied they are cancelled and then we are left with 6 x 8 that is 48

Hi! (-8)(-6) can also be written as -8 × -6. Ignore the negative signs for now.

8 × 6 = 48.

When two negative numbers are multiplied together, the answer is always positive. Think of it as two negative signs (-) make a positive sign (×) when put together.

The answer is -48.

----------------------------------------------------------------------------------------------------------------

I hope this helps you! Good luck and have a great day. ❤️✨

Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany. Give an estimating example of how Julie could guarantee herself of having at least 540 Marks. Show and explain your example below.

Answers

having at  least 636.47  to exchange to 540 marks

The estimated money Julie should carry with herself is $572.64

What is estimation?

Estimating in maths is a way of approximately calculating an answer or to check its accuracy.

Given that, Julie figures that she will need at least 540 Marks (German money) to get the items she wants when visiting Germany.

To find how much currency she should carry, we will convert the US currency into German currency

$1.06 = €1

Therefore, €540 = 1.06x540 = $572.64

Hence, The estimated money Julie should carry with herself is $572.64

For more references on estimation, click;

https://brainly.com/question/17961193

#SPJ2

Which set of measurements will form a unique triangle?


angle measures of 45°, 45°, 90°

angle measures of 60°, 60°, 60°

side measures of 20 cm, 20 cm, 20 cm

side measures of 1 cm, 1 cm, 100 cm

Answers

Ok I can go home to go skate and then woowowowowowo owill to get the kids home
60,60,60 because it

A biker rides for h hours at a speed of s miles per hour and travels d miles. Which equation models the relationship?

A)h equals s d

B)d equals s h

C)h equals s over d

D)d equals h over s

Answers

I believe it’s B good luck!!

Answer:

B

Step-by-step explanation:

4 + x more than -12
Please help ;-;

Answers

Answer:

any number more than 0 including 0

Step-by-step explanation:

Answer:

It's 0,

Step-by-step explanation:

Why because 12 is less then if your were going to create a line and 0 is going to be in the middle, that shows in that case 12 is going to be on the left side of the 0 because 12 is a positive number and 0 is not.

Yo can someone help me out

Answers

Answer:

Your answer is 3,947 ÷ 45 = 87 r 32

Hope this Helps

<3

the second option :)

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

Write an addition equation to represent Jackson's net change in money.

Enter your answer as an addition equation, formatted like this: 42+(-53)=-11

Do not enter the dollar sign. Do not enter any units. Do not use spaces.

Answers

Answer:

M+4.63=T

Step-by-step explanation:

M represents the amount that he spent on his groceries. T is total

The addition equation to represent Jackson's net change in money is x + (-y) = 4.63.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.

Let x be the initial amount before purchase

Let y be the cost of the item purchased

Initial amount + cost of the item purchased = change received

The addition equation to represent Jackson's net change in money is:

x + (-y) = 4.63

Here y is with the negative sign because it is incurred

The change received = 4.63

Thus, the addition equation to represent Jackson's net change in money is x + (-y) = 4.63.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Solve:
10c + 20 = 40
c =

Answers

C= 2


...................................
The correct answer is 2.

Step 1: in order to solve an equation, you need to isolate the variable. Meaning, you need to get it by itself In this case, the variable is c. So, what you will do is subtract 20 on both sides of the equation and you should end up with 10c=20.

Step 2: We still need to get c by itself so, we have to do the inverse operation of multiplication, which is division. We then divide 10 on both sides of the equation. The answer you should come up with is c=20

Hope this helps! Have a great day/night:)

At a movie theater, the ratio of filled seats to empty seats is 6 : 5. There are

120 empty seats. How many seats are filled?

Answers

144 seats are filled in the movie theater
144 seats are available

A construction worker has a rope that is 4 feet long.He needs to cut it into pieces that are each 2/3ft long.How many such pieces can he cut without having amy rope leftover?

Answers

Answer:

6

Step-by-step explanation:

4 / 2/3

Think of it like this.

4 / 2/3 (if this were in fraction form)

4 * 3/2 (Reciprocal)

12/2

6

The answer is 6.
We’re talking about fractions.

These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know please.

Answers

Answer:

The area of the larger is 36  units^2

Step-by-step explanation:

The scale factor is 6/3 = 2

When we work with areas, it is scale factor squared

scale factor ^2 = area of larger / area of smaller

2^2 = area of larger / 9

4 =area of larger / 9

Multiply each side by 9

4*9 = 36

The area of the larger is 36  units^2

The area of 36 units is larger

help plzzzzzzzzzzzzzz giveing brainlist

Answers

Answer: A

Step-by-step explanation: the answer would be a Ptolemy III ruled over a kingdom of peace and Ptolemy XIV over saw the development of beautiful architecture.

i know this because i have studies on this in the past and did a question just like that and got it correct. hope this helps oh and maybe try giving me brainlest.

Which equation can be used to find the unknown length, a, in this triangle?

Answers

Answer:

..A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)..

Step-by-step explanation:

Answer:A. is the answer. a2 + b2 = c2 is the formula used to find the hypotenuse (the longest leg)  

Step-by-step explanation:

didnt you already ask us this ?!

explain why the product of two negative integers is not negative. Use (-1) ·(-1)as an example

Answers

It will be 1, since a negative and a negative changes into a positive.

The product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

What is multiplication?

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

The result of a multiplication operation is called a product.

So, to prove product of two negative integers is not negative

Taking the example of (-1) ·(-1).

Now since multiplying two negative numbers always gives positive result.

Thus, (-1) ·(-1) = +1

which is not negative.

Thus, the product of two negative integers is not negative because multiplying two negative numbers always gives positive result.

To learn more about multiplication:

brainly.com/question/1563457

#SPJ2

The temperature at a mountain base camp was −3 degrees Celsius on Monday. Tuesday morning, the temperature was 2 degrees Celsius lower than what it was on Monday. By Tuesday evening, the temperature was 4 degrees Celsius lower than what it was that morning. What was the temperature at the base camp Tuesday evening?
−9 degrees Celsius
−6 degrees Celsius
−5 degrees Celsius
−1 degree Celsius

Answers

Answer: -9 degrees Celsius

Step-by-step explanation: You subtract two degrees from -3 and get -5 (-3-2=-5). Then, you subtract 4 degrees from -5 and get the answer of -9 degrees Celsius.

The temperature on Monday was -3 degrees Celsius. Tuesday it was 2 degrees lower meaning it was
-5 degrees Celsius. On Tuesday evening the temperature was 4 degrees Celsius lower than it was in the morning meaning it was -9 degrees Celsius on Tuesday evening.

5 pounds of grapes cost $7. How much would it cost to buy 1 pound of grapes? (show your work)
A. $0.70
B.$1.25
C.$1.40
D.$1.50

Answers

Answer:

the answer would be c based on the proportional value

Answer:1.25

Step-by-step explanation:because tbh id ont know the work but my teacher showed me this

What the slope is, and if it's a fraction it needs to be simplified.

Answers

The slope of this graph is 3/2

Answer:

3/2

Step-by-step explanation:

The equation for slope is y/x.

This does not need to be simplified because you don't want a decimal when using slope. To find the slope pick an x value and its corresponding y value

PLZ HELP I HAVE NO IDEA

Answers

Answer:

Sorry, I only figured out one.

3 = 21 divided by 7

Step-by-step explanation:

12+7+12=31
11+11+11=33
12+11+12+11=46


How many solutions exist for the equation: 8(4-2x)=4(3-5x)+4x

A) Two solutions
B) One solution
C) No solution
D) Many solutions

Answers

Answer:

C

Step-by-step explanation:

We have the equation:

[tex]8(4-2x)=4(3-5x)+4x[/tex]

Let's expand both sides. Distribute on the left:

[tex]32-16x=4(3-5x)+4x[/tex]

Distribute on the right:

[tex]32-16x=12-20x+4x[/tex]

Combine like terms on the right:

[tex]32-16x=12-16x[/tex]

Add 16x to both sides:

[tex]32\neq12[/tex]

This is not true.

So, our equation has no solutions.

This would mean that our two linear equations are parallel to each other.

Our answer is C

Answer:

C

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

A master baker can fill a big order in 6 hours. A student baker can fill the same order in 8 hours. They start working together, and after 2 hours, the student leaves and the master baker finishes the work alone. How long will it take him to finish the order?

Answers

I think it is 4

:)

hope this helps

Answer:

2 hrs and 30 min

Step-by-step explanation:

what is the percent change from $54.00 to $38.79?? I WILL MARK YOU AS BRAINLIEST

Answers

Answer:

28.166666666667%

Swag one g wag one piff ting whats ur bbm ping

The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?

$0.57
$1.75
$5.50
$6.50

Answers

The answer would be B. $1.75

Select all the correct answers.
Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?
4t + 4c + 3s
4t + 4c + 4s
4(t + c) + 3s
4(t + c + s)
t + c + s
t + c + 3s

Answers

Answer:

4c + 4t + 3s = total number of legs

Step-by-step explanation:

Bilk is driving on a freeway to visit his friend.
He has been driving at a constant speed for
the last hour. If Birk is traveling at a speed of
60 miles per hour, which equation best
represents the relationship between time in
hours, t, and the distance in miles, d?
A d = 60t
B t = 600
c d = t + 60
D t = d + 60

Answers

Answer:

The answer is a i believe

Step-by-step explanation:

the answer is D ...........

4=6-2m
help me babes!

Answers

Answer:

tbh idek bro good luck.... its 33

PLEASE HELP ME! 40 POINTS!

there’s a photo that has the problem.

Answers

We can’t see the image please post this again

Norma bought a plastic bag that contains 100 balloons. The label on the bag says that there are 20 each of blue, yellow, red, green, and orange balloons. Norma will take one balloon from the bag at random. What is the probability that the balloon will be either red or blue?

A)3/2
B)2/3
C)3/5
D)2/5

Answers

Answer:

d

Step-by-step explanation:

ur welcome plz mark brainliest

2/5 t is the probability that the balloon will be either red or blue.

Thus option A is correct.

What is probability?

The mathematical discipline known as probability specializes in determining the possibility of an event occurring. Probability, which expresses the probability of a risk, is calculated by dividing the total possible combinations by the frequency of favorable events. Composite reliabilities vary from 0 to 1, with 1 representing certainty and 0 representing hesitation.

The probability of the event will be taken as

The fact that the data of red and blue will have a chance of occurring in the event

The first draw chance would be 20/100 = 1/5

The second draw would be 20/100 = 1/5

P = 20 / 100 + 20 / 100

P = 1/5 + 1/5

P = 2/5

Therefore, option D is the correct option.

Learn more about probability, Here:

https://brainly.com/question/11234923

#SPJ6

Other Questions
PLS HELP! I need eight annotations for this poem Write a one act play of your own by following the step by step instructions given below. Make sure you addall the elements of a play script to your writing. is defending the usa a responsibility ?? What is the value of b in the equation A circular race track has a diameter of 120 ft.about how long would one lap of the track be Where the Acadians settled helped determine their way of life. Sort ideas about how Acadians lived in each type of settlement into the correct category. grew cotton and sugarhunted and fishedraised cattlegrew rice in rich soil received land grants lived on houseboatsSort into: River and Bayou, Wetlands, and Prairie What type of government do most Latin American countries have? HELP PLZZZ WITH THESE 2 QUESTIONS ASAP GIVING BRAINLIEST AND POINTS PLZZZ HELP GUYS!!!!!!Read this short passage and answer the questions below:Excerpt from Crime and PunishmentBy Fyodor DostoevskyThe heat in the street was terrible: and the airlessness, the bustle and the plaster, scaffolding, bricks, and dust all about him, and that special Petersburg stench, so familiar to all who are unable to get out of town in summerall worked painfully upon the young mans already overwrought nerves. The insufferable stench from the pot-houses, which are particularly numerous in that part of the town, and the drunken men whom he met continually, although it was a working day, completed the revolting misery of the picture. An expression of the profoundest disgust gleamed for a moment in the young mans refined face. He was, by the way, exceptionally handsome, above the average in height, slim, well-built, with beautiful dark eyes and dark brown hair. Soon he sank into deep thought, or more accurately speaking into a complete blankness of mind; he walked along not observing what was about him and not caring to observe it. From time to time, he would mutter something, from the habit of talking to himself, to which he had just confessed. At these moments he would become conscious that his ideas were sometimes in a tangle and that he was very weak; for two days he had scarcely tasted food.Q1).The description of the setting, in the beginning, highlights a contrast between - A) the rundown part of town and the mans polished belongings B) the dirty streets and the mans clean attire C) the revolting streets and the mans attractive outward appearance D) the terrible smell and the mans indifference to his surroundings Q).Which sentence from the text suggests the man was not interested in the circumstances of the world around him? A) Soon he sank into deep thought, or more accurately speaking into a complete blankness of mind; he walked along not observing what was about him and not caring to observe it. B) An expression of the profoundest disgust gleamed for a moment in the young mans refined face. C) He was, by the way, exceptionally handsome, above the average in height, slim, well-built, with beautiful dark eyes and dark brown hair. D) The heat in the street was terrible: and the airlessness, the bustle and the plaster, scaffolding, bricks, and dust all about him, and that special Petersburg stench, so familiar to all who are unable to get out of town in summerall worked painfully upon the young mans already overwrought nerves. Michelle purchased a kids table with a square top. if the area of the square top is 400 inches, what is the length of one of the sides?i will mark brainliest just please i'm gonna fail fmfmcb Name two Rays using this figure 1. During an accident investigation, a detective measures the skid marks that a carleft to determine how fast it was initially moving before stopping when it hit alight pole. The detective measures the distance to be 40 meters. The detective receives the car's braking acceleration to be 4.57m/s2 from the manufacturer'smanual. Help the detective by solving how fast the car was initially going beforehe hit the light pole? Someone please help Ill give you a brainlest Which statement about the linear factors and zeros of a quadratic function is always true? The constants of the linear factors are the opposite of the function's zeros. A function's zeros can be determined by setting each linear factor equal to 0 and solving. If a function's zero is an integer, then the coefficient of the variable in the linear factor must be one. Multiplying the constants of the linear factors gives one of the function's zeros, and adding the constants gives the other zero. Find four consecutive even integers whose sum is -4 What is three hundred thirty and seventy-six hundredths as a decimal? what value of x will make the given triangles congruent? The amount of space occupied by an object is its _____.Immersive Readera. measurementb. molecular arrangementc. volumed. Option 4e. length DNA controls the traits of an organism through the arrangement of its -AnswerA phosphate molecules.B nitrogenous basesC chromosomesD hydroxyl groups Find measure angle 1 Confused PLEZZZZZ HELLLPPPP move vertices A B and C to modify the original parallelogram. As you change the parallelogram, notice what happens to the diagonals. How does moving the vertices affect the relationship between the diagonals that you noted in question 2?