The first side of a triangle is scm long.
The second side is twice as long as the first.
The third side is 5 cm longer than the second side.
a The perimeter of the triangle is 1 metre.
Write an equation to show this.
b Solve the equation.
c Find the length of the longest side of the triangle.​

Answers

Answer 1

Answer:

First side is 19, second side is 38 and third side, the longest is 43.

Step-by-step explanation:

Let's call the first side a.  

The second side, being twice as long as the first, is 2a.

The third side is 2a+5.

The equation is:

a+2a+2a+5=100, since 1 metre is 100 centimetre.

5a+5=100

5a=95

a=19

First side is 19, second side is 38 and third side, the longest is 43.

Answer 2

An equation is formed of two equal expressions. The length of the longest side of the triangle is 43 cm.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given to us that the first side of a triangle is x cm long, The second side is twice as long as the first, The third side is 5 cm longer than the second side and The perimeter of the triangle is 1 metre. Therefore,

The length of the first side will be x cms.The length of the second side will be twice x, 2x.The third side is 5 cm longer than the second side, 2x+5.

Since the perimeter of the triangle is 1 meter which is equal to 100 cm. And the perimeter is the sum of all the sides of a triangle. The perimeter can be written as,

[tex]x+(2x)+(2x+5) = 100\\\\x+2x+2x+5=100\\\\5x+5=100\\\\5x=95\\\\x=19[/tex]

Thus, the value of x is 19.

A.)  The equation that represents this condition is x+2x+2x+5=100.

B.) The length of the longest side of the triangle is 2x+5, where the value of x is 19. Therefore, the length of the longest side can be written as,

[tex]\text{Length of the third side} =2x+5 =2(19)+5=38+5=43\rm\ cms[/tex]

Thus, the length of the longest side of the triangle is 43 cm.

Learn more about Equation:

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Related Questions

pleaseeeeee helppppp, ill give you brainley i promise

Answers

its the third one for the answer

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.


Draw and label the dimensions of a scale drawing of Mai’s kitchen, using a scale of 1 to 40. HEEEEEEEELPPPP

Answers

Answer:

Length of scale = 15 cm

Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale

6 m of kitchen = [tex]\frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm[/tex]

Length of scale = 15 cm

40 units of kitchen = 1 unit of scale

1 unit of kitchen = [tex]\frac{1}{40}[/tex] units of scale

2 m of kitchen = [tex]\frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm[/tex]

Width of scale = 5 cm

Please refer to the attached image as well for representation of given scale.

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor

tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

1. How much money will they collect for selling x floor tickets?


2. How much money will they collect for selling y balcony tickets?

Answers

Answer:

We know that x is the number of floor tickets they sell, and each one costs $15, then the amount of money they will get by those sells is x times $15, this is:

x*$15.

And y is the number of balcony tickets they sold, each one of these costs $12, then the total amount of money made in those tickets is:

y*$12.

Then the total amount of money that the band made is:

x*$15 + y*$12

And they want to make, at least, $3,000, then we will have the inequality:

x*$15 + y*$12 ≥ $3000

That can´t really be solved, because we have two variables and only one inequality, but this represents the given situation.

Element X is a radioactive isotope such that its mass decreases by 81% every year. If an experiment starts out with 490 grams of Element X, write a function to represent the mass of the sample after tt years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.

Answers

Answer:

We can say we start with 490 grams and after 1 year we have (490 * .81 grams) or 396.9 grams.

We can solve for half-life by this equation:

Half life = (time * log 2) / log (beginning amount / ending amount)

Half-life = (1 year * 0.30102999566) / log (490 / 396.9)

Half life = (1 year * 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Well, that's a start.

Step-by-step explanation:

The half life of the given radioactive isotope will be 3.2894067399  years.

What is Half life period?

The amount of time it takes to disintegrate by half an initial amount. For a given reaction, a reactant's half-life t-1/2 is the time it takes for its concentration to reach a value which is the arithmetic mean of its initial and final value.

Here, Element X starts with 490 grams

After 1 year we have  (490 X 0.81 grams) or 396.9 grams

Now, We can solve for half-life by this equation:

Half life = (time  X log 2) / log (beginning amount / ending amount)

Half-life = (1 year X 0.30102999566) / log (490 / 396.9)

Half life = (1 year X 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Thus, the half life of the given radioactive isotope will be 3.2894067399  years.

Learn more about Half life Period from:

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#SPJ2

Simplify 3+(5+p) I need help nowwe

Answers

Answer:

8+p

Step-by-step explanation:

add 3 plues 5 and you got ur answer

45+92+40+43+102x4/5=

Answers

I think the answer is 301.6?
It’s 22+408x/5 you welcome

Sherrie buys a laptop computer for $600. Each year, the value of her laptop decreases by $40. How many years will it take before the laptop is not worth anything? Explain how you know your answer is correct.

Answers

Answer:

15 years

Step-by-step explanation:

$40 x 15 (years) = 600

600 - 600 = 0

haaaaallllllppppppp my brains fried atm

Answers

I’m pretty sure it’s 9, I haven’t done this in awhile though...

Solve for y: 1 + 7y = 5x -2

Answers

Answer:

5x/7 - 3/7

Step-by-step explanation:

5x-7y=3

Y= 5/7x-3/7

Write a conjecture using this information.

Rectangles are parallelograms. The opposite sides of parallelograms are parallel.

Answers

Answer:

The opposite sides of the rectangle are parallel.

Step-by-step explanation:

If that is true for all parallelograms and a rectangle is a parallelogram, then it should be true for a rectangle too, I think.

Answer:

The opposite sides of the rectangle are parallel. (for both questions)

Step-by-step explanation:

Got it right on edg

please factor x^3+2x^2-x-2=(x+ )(x+ )(x+ )

Answers

Answer:

(x+2) (x+1) (x-1)

Step-by-step explanation:

You would add and subtract the second term to the expression  

Factor x3+2x2−x−2

x3+2x2−x−2

=(x+2)(x+1)(x−1)

15x18x47x9 I don't understand multiplication pls help!

Answers

Answer:

the answer is 114,210..................

What is the missing value 2/6=x/15

Answers

Answer:

x=  5

Step-by-step explanation:

Your teacher should have explained it but give me points please

The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline Write an equation that represents this path


Please help!

Answers

Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour. What is Dave's rate of completion expressed in walls per hour?
A. 1 /3
B. 3 /4
C. 1 1/6
D. 1 1/3

Answers

It’s A. 1/3 hhjhgddxgjhyrddf

Dave's rate of completion is 4/3 walls per hour and this can be determined by using the concept of unit rate.

Given :

Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour.

The following steps can be used in order to determine Dave's rate of completion:

Step 1 - The concept of unit rate can be used in order to determine Dave's rate of completion.

Step 2 - According to the given data, Dave completes on average 2/3 of a wall in 1/2 of an hour.

Step 3 - Now, let Dave's rate of completion be 'x'.

Step 4 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}[/tex]

Step 5 - Simplify the above expression.

[tex]x = \dfrac{2}{3}\times\dfrac{2}{1}[/tex]

[tex]\rm x = \dfrac{4}{3}\;walls \;per \;hour[/tex]

Therefore, Dave's rate of completion is 4/3 walls per hour.

For more information, refer to the link given below:

https://brainly.com/question/11258929

2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)

Answers

Answer:

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

Step-by-step explanation:

Slope: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Slope-Intercept Form: [tex]y=mx+b[/tex]

[tex]m=\frac{8-0}{1-5}[/tex]

[tex]m = -2[/tex]

[tex]y = -2x + b[/tex]

[tex]0 = -2 (5)+b[/tex]

[tex]0=(-10)+b[/tex]

[tex]b = 10[/tex]

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

Kareem has a collect of dimes and quarters. He can tell that he has more quarters than dimes, and he knows that he has at most $2.

Write the system of inequalities to represent this.

Answers

Answer:

D<Q≤2 Or D<Q Q+D≤2

Step-by-step explanation:

I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars

126x52 what is it I don’t know

Answers

Answer:

6552

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

6,552

Step-by-step explanation:

-4(x + 3) <-2 – 2x?
What’s the answer on the number line for this equation

Answers

Answer:

[tex]x>-5[/tex]

The solution graph is also attached below. On the solution graph, the value will be:

Step-by-step explanation:

Given the expression

[tex]-4\left(x\:+\:3\right)\:<\:-2\:-\:2x[/tex]

Expanding

[tex]-4x-12<-2-2x[/tex]

Add 12 to both sides

[tex]-4x-12+12<-2-2x+12[/tex]

[tex]-4x<-2x+10[/tex]

Add 2x to both sides

[tex]-4x+2x<-2x+10+2x[/tex]

[tex]-2x<10[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]

[tex]2x>-10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]

[tex]x>-5[/tex]

The solution graph is also attached below. On the solution graph, the value will be:

[tex]x>-5[/tex]

The cost of two books is ₹126.If the cost of one book is twice the other, the find the cost of books.​

Answers

$84 is the doubled price and $42

please help. I will mark you brainliest

Answers

Answer:

I think AB would be 67

BC would be 20 because its the whole line s 10+10 is 20

I am really sorry I don't know 1 and 4 I hope this helps tho

Also you dont have to give me brainliest

Step-by-step explanation:

can someone help me with 5 х 10 squared

Answers

Answer:

500

Step-by-step explanation:

answer correctly pleasee

Answers

Answer:

Slope= 4

Step-by-step explanation:

When you start at (0, 0) and then go to (1, 4), then you have to use the slope.

So, to figure out the slope, you have to do rise over run, rise/run.

So, as shown in the graph, the rise is 4 because the rise is the y so to get from 0 to 4, you have to add 4.

And the run, which would be the x side is 1 because to get from 0 to 1. You add 1.

This shows us that the slope is 4/1 which could be simplified to just 4.

7.) A store had 2 unstuffed turkeys for
$22.78 or 6 stuffed turkeys for $67.80. What
is the price of the lower unit rate

Answers

Answer:

11.30 for unstuffed turkey is the lowest unit rate

Step-by-step explanation:

2 unstuffed turkey for 22.78..............22.78/2=11.39 per turkey unstuffed

6 stuffed turkey for 67.80................67.80/6=11.30

Help question in the picture

Answers

Answer:

thank you for the points :D

Step-by-step explanation:

Carter stated that 5(x + 9) - 3x is the same as 2x + 45. Lori disagreed with him and said that an equivalent expression is 2x + 9. Who was right?

Answers

Answer:

Carter;

5 ( x + 9 ) - 3x = 2x + 45

Step-by-step explanation:

Simplify the equation;

5 ( x + 9 ) - 3x

Distribute the 5, remember, you have to distribute 5 over both terms.

5x + 45 - 3x

Combine like terms;

2x + 45

can someone plz help me with this question: select the correct answer. what is √125 in simplest form?​

Answers

Answer: First Option (5√5)

Answer:

First, you see if there are any perfect squares that are a factor of 125. If you do find some, find what is seemingly the biggest. In this case, it is 25, I think. So you can then out it as root(25×5), I think. As 25 is a perfect square, you can square and then put the number you get on the outside. So since 5×5=25, it becomes 5(root)5, which essentially means 5×(root)5, I think.

28 members;50% increase

Answers

Answer:

I think the answer is 42.

Step-by-step explanation:

If there is a 50% increase in members then the number of members would go up 14. Adding 14 to 28, you come away with 42.

Sorry if it's wrong.

PLEASE HELP DUE IN 30 MINUTES

Answers

Answer:

y= 1/2x-2

Step-by-step explanation:

Answer above is correct

I picked the blue one, was I correct?

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

The degree of the polynomial is the degree of the highest-degree term. The degrees of the terms are ...

  4, 5, 1

The highest degree is 5, so the degree of the polynomial is 5.

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