The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.

Answers

Answer 1

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38


Related Questions

#2 - Simplify the expression. Type your answer with all lowercase letters and no spaces. * 3h - e + 2h - 5e

Answers

Answer:

5h-6e

Step-by-step explanation:

3h - e + 2h - 5e =

= 3h + 2h - e - 5e

= 5h-6e

Answer:

5h - 4e

Step-by-step explanation:

Add 3h and 2h to get 5h then subtract e from 5e which equals 4e

Hope this helps!

A contestant on a quiz game show has -25 points. If she loses an additional 50 points, what is her score? Write an addition number sentence and then solve.

Answers

-25-50=-75

-25+(-50)=-75

The 7-digit numbers in a given area code have the form ABC-XXXX, where B, C and X can be any digit 0-7 and A is restricted to 2-8. How many 7-digit numbers are possible in a single area code?

Answers

Answer:hhhhds

Step-by-step explanation:

HELP NEEDED: Will mark Brainliest to best answer!! The center of a dilation is (0,0) and the scale factor is 7. If A(3,4), then which is the distance between A and A prime? A. 5 B. 7 C. 30 D. 35

Answers

Answer:

C. 30

Step-by-step explanation:

Distance formula - [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

The scale factor of 7 is basically saying that the coordinates (3,4) are going to be increased 7 times.

3•7 = 21=x         --> A prime = (21,28)

4•7 = 28=y

[tex]\sqrt{(21-3)^2+(28-4)^2}[/tex]

= [tex]\sqrt{324+676}[/tex]

= [tex]\sqrt{900}[/tex]

= 30

Solve by factoring x^4+6x^2-27=0

Answers

Answer:

Step-by-step explanation:

x^4+6x^2-27=0

The two factors you need to use for 27 is 9 and 3.

Since the middle term must be plus then the 9 is also plus.

(x^2 + 9)(x^2 - 3)

x^2  + 9 can't be factored in the real number system.

x^2 - 3 = 0

(x + sqrt(3))(x^2 - sqrt(3))

The full factoring answer would be

(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))

4+(9x2)÷(4-1)-4 simplify by using order of operations

Answers

Answer:

the answer is 6 just do the math and it's pretty easy

Steps to solve:

4 + (9 * 2) / (4 - 1) - 4

~Simplify what is in parenthesis

4 + (18) / (3) - 4

~Divide

4 + 6 - 4

~Add

10 - 4

~Subtract

6

Best of Luck!

Apply the dilation (x, y) = (3x, 3y). What will be the coordinates of T'?​

Answers

Answer:

6,0

Step-by-step explanation:

the dilation moves points from A to B

in this case we're moving point T

point T has coordinates 2,0 to start with (A)

Now let's move it to B

To do so, we need to apply the calculation

(x,y) => (3x,3y)

Substitute in point T:

(2,0) => (3x,3y)

(2,0) => (3(2),3(0))

(2,0) => (6,0)

Solve the equation for the variable.

[tex]49 - \frac{2}{3} x = 32 - \frac{1}{6} x[/tex]

x = [?]​

Answers

Answer:

1) Take LCM

(147-2x)/3 = (192-x)/6

2) Cross multiply

882-12x= 576-3x

3) Rearrange

882-576= 12x-3x

306= 9x

x=306/9

x=34

Hope it helps :-)

Given the functions, f(x) = 3x - 6 and g(x) = x2 + 5x + 7, perform the indicated operation. When applicable, state the domain restriction.

Answers

Answer:

D

Step-by-step explanation:

it is D i did this quiz before.

Find the distance between the points (0,-8) and (8,-3). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The distance in radical expression form is d=[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(8-0)^2+(-3-(-8))^2}\\d=\sqrt{(8)^2+(5)^2}\\d=\sqrt{(64)+(25)}\\d=\sqrt{89}\\[/tex]

Complete the following statement 6(30 – 3) =​

Answers

Answer:

162

Step-by-step explanation:

30-3 = 27

6(27) = 162

When a number is divided by six the result is -2 the number is

Answers

Answer:

The number is -12

Step-by-step explanation:

let the number = x

x/6 = -2

x = -2 x 6

x = -12

the number is -12

I need domain and range for this written in inequality notation please. this is a major grade for me so please i really need help with this the screenshot of the graph is below

Answers

Answer:

Domain = x E R (means x is element of all real number)

Range = y ≤ 3

The formula for the volume of a cylinder is V = 2trh. Solve the formula for h.

Answers

Answer:

V/(2tr)=h

I think, its been a while since i had to do a problem like this

Along the U.S. Atlantic coast, the sea level is rising about 2 millimeters per year. Joe is 13 years old. How many millimeters has sea level risen since Joe was born?

Answers

26 mm

Because 2mm x 13 years = 26

please help soon!!!
find the sum of the series
30
Z = (2k-1)
k=3

Answers

Hope this helped! The answer is z=5
Wait hold on you can send pictures on here !!!!!

The area of a mirror is 225 in.² and it’s with is 13 3/4 inches will the mirror fit in a space that is 15“ x 16“ explain

Answers

Step-by-step explanation:

A = wh

225 in² = (13.75 in) h

h ≈ 16.4 in

No, the mirror is too tall.

Express 0.2 underline as a fraction in simplest from.

Answers

answer: i think it is 1/5
0.2 is 1/5
20/100 = 2/10 = 1/5

Give the correct name for
2x3 + 5x

Answers

Answer: x(2x²+5)

please give brainliest if it helped

Which of the following is the solution to the inequality below? 14 - x)5-4x+ O A. X² B. X C. X 7 13 7 D. x2 13

a. x<_17/13

b x_>7/13

c. x<_7/13

d. x_>17/13

if you could help me that would be great :)​

Answers

[tex]-\frac{6}{5}(4 - x) \leq -4(x + \frac{1}{2} )[/tex]

Let's start off by distributing the [tex]-\frac{6}{5}[/tex] and -4

[tex]-\frac{24}{5} + \frac{6}{5}x \leq -4x - 2[/tex]

Add 4x and [tex]\frac{24}{5}[/tex] to both sides.

[tex]\frac{26}{5}x \leq \frac{14}{5}[/tex]

Divide both sides by [tex]\frac{26}{5}[/tex]

[tex]x\leq \frac{7}{13}[/tex]

Use the distributive Property to simplify: (x-7)(x-8)

Answers

Answer:

[tex]x^2-15x+56[/tex]

Step-by-step explanation:

Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

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

Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]

Multiply them to get:

[tex]x^2-8x-7x+56[/tex]

[tex]x^2-15x+56[/tex]

Danny just submitted his resumé in a response to a job posting. The job posting stated that the job pays $57K annually.

Answers

4,750 dollars a month

The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.

Answers

Answer:

B(6

Step-by-step explanation:

The number of omelets made by 18 eggs will be 6. The correct option is B.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

The number of eggs required to make the number of omelets is given in the tables as:-

omelets        eggs

    ?                 18

    3                 9    

    2                 6

    1                  3

The ratio of omelets and egg is calculated as:-

omelets: egg = 3 : 9      

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:-

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x ( 1 / 3 )

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

To know more about ratios follow

https://brainly.com/question/78672

#SPJ5

Graph the system below and write its solution. Y=1/2x-1
-2x+y=4
You can answer no solution or infinitely many

Answers

Answer:

x = -3.3333333

y = -2.666666

Step-by-step explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4             Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4          Combine

-1 = 1.5x + 4                   Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x                       Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666

Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a.) at least 160
b.) no more than 160
c.) fewer than 160
d.) more than 160

Answers

Answer:

c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less

Step-by-step explanation:

113>97+.1x

16>.1x

160>x

HELP PLEASE ! Due tonight Part 4

Answers

If it were me I’d rather be given y=mx+b because you don’t have to use the graph to calculate slope, you just know that m=slope in the equation

9.6= 1.2b find b please show work
PLEASEEEE

Answers

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

write 0.00000478 in scientific notation​

Answers

Answer:

4.78 × 10^-6

Hope this helped :)

Answer: 4.78 × 10^-6

Step-by-step explanation:

5x + 3y, when x = 4, and y=-3​

Answers

Answer:

5x+3y, when x=4 and y= -3

5(4)+3(-3)=

20+ (-9)=

11

Step-by-step explanation:

Hope this helps. :)

Answer:

5x + 3y = 11

Step-by-step explanation:

x = 4 y = -3

=5x + 3y

=5(4) +3(-3)

=20 + (-9)

=11

When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.

(it might be wrong because I haven't done algebra in a long time)

What is the absolute value of 2.5

Answers

☽------------❀-------------☾

Hi there!

~

The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5

❀Hope this helped you!❀

☽------------❀-------------☾

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