1/3 rd part of the length of a bamboo is coloured in red and 1/5th part of it is coloured green and the remaing is 14m is coloured in yellow. lets find the length f the bamboo​ (step by step)

Answers

Answer 1

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

1/3rd part of the length of a bamboo is coloured with red and 1/5th part of it is coloured with green and the remaining is 14m is coloured with yellow.

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the total length of the bamboo

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the total length of bamboo be x

According to the question,

[tex]\sf{\dfrac{ 1}{3}}{\sf{x +}}{\sf{\dfrac{ 1}{5}}}{\sf{x + 14 = x }}[/tex]

[tex]\sf{\dfrac{ 1}{3}}{\sf{x + }}{\sf{\dfrac{1}{5}}}{\sf{x = x - 14 }}[/tex]

[tex]\sf{\dfrac{5x + 3x}{15}}{\sf{ = x - 14 }}[/tex]

[tex]\sf{ 5x + 3x = 15( x - 14 )}[/tex]

[tex]\sf{ 8x = 15x - 210 }[/tex]

[tex]\sf{ 210 = 15x - 8x}[/tex]

[tex]\sf{ 7x = 210 }[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 210}{7}}}[/tex]

[tex]\sf{\red{x = 30\: m}}[/tex]

Hence, The total length of the bamboo is 30m.


Related Questions

Express the area of the triangle as a monomial.

Answers

Answer:

20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] ( 5 x³ [tex]y^{4}[/tex] )( 8 x y² ) = 20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]

Answer: 20x^4y^6
———————————
Shape: Triangle
Formula: A = 1/2bh
———————————
A = 1/2bh
A = 1/2(5x^3y^4)(8xy^2)
A = 1/2(40x^4y^6)
A = 20x^4y^6

(x^2+2x)(3x^2-2x+4) Please help this is super important to me

Answers

Answer:

[tex]3x^4+4x^3+8x[/tex]

Step-by-step explanation:

[tex](x^2+2x)(3x^2-2x+4)\\\\(x^2)(3x^2)+(x^2)(-2x)+(x^2)(4)+(2x)(3x^2)+(2x)(-2x)+(2x)(4)\\\\3x^4-2x^3+4x^2+6x^3-4x^2+8x\\\\3x^4+4x^3+8x[/tex]

33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?
A)-1
B) - 3
C) - 4
D) - 7

Answers

Answer:

B

Step-by-step explanation:

The solution is the point of intersection of the 2 lines

The lines intersect at (- 3, - 4 ), then

f(x) = g(x) has solution x = - 3

0.035785 in 4 decimal place
0.002635 In 1 decimal place
260.743 in 2 decimal place
284.0675 in 3 decimal place
0.420009 in 5 decimal place

Answers

Answer:

0.002635 In 1 decimal place

Step-by-step explanation:

Use the number line to help you decide which statement is true.​

Answers

Answer:

7/8 > 3/4

Step-by-step explanation:

Make the denominators of both fractions the same by mulitplying the numerator (top number) and denominator (bottom number) of the fraction 3/4 by 2:

(3 x 2) / (4 x 2) = 6/8

Now compare 6/8 with 7/8 (the number line is divided into 8 equal parts. Shade 6 and then shade 7.  which is bigger?)

7/8 > 6/8

Therefore, 7/8 > 3/4

Answer:

7/8 > 3/4

Step-by-step explanation:

hope this help

                             

                                                XD

An account is gaining value at a rate of 4.94% per year. The account held $113 in 2005. What will the bank account hold in 2017?

Answers

We have that what the bank account hold in 2017  is mathematically given as

T=179.986

Simple interest

Simple interest is a simple way of forecasting and having a view of futuristic values.

Question Parameters:

An account is gaining value at a rate of 4.94% per year.

The account held $113 in 2005.

What will the bank account hold in 2017?

Generally the equation for Simple interest   is mathematically given as

S=(P*R*T)/(100)

Therefore

S=(113*4.94*12)/(100)

S=$66.986

Therefore

after 12 years

T=113+66.986

T=179.986

For more information on Arithmetic visit

https://brainly.com/question/22568180

PLS HELP ASAP 100 POINTS IF YOUR GOOD AT MATH PLS HELP

Answers

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Step-by-step explanation:

I am pretty sure this is it!

SOMEONE PLEASE HELP!!!

Answers

Answer:

Step-by-step explanation:

2. Perpendicular lines form right angles.

3. A right angle has a measure of 90 degrees.

4. Angle addition postulate

5. Angles that add to form a right angle have a measure of 90 degrees.

7. Congruent angles have equal measure.

8. Substitution

9. Angles with measures that add to 90 deg are complementary.

Help please!!! Due tomorrow!!

Answers

Answer:

try negative -4 it might be the answer

Answer:

the rate of change is for x it would be 2 and for y it would be 4.

Step-by-step explanation:

Find the value of each variable. Help asappppp

Answers

Answer:

Y= 20

Z = 20

Step-by-step explanation:

Y:

cos(∠BAC) = [tex]\frac{AC}{AB}[/tex]

cos(45°) = [tex]\frac{y}{20\sqrt{2}}[/tex]

Y= 20

Z:

sin(∠BAC) = [tex]\frac{BC}{AB}[/tex]

sin(45°) = [tex]\frac{z}{20\sqrt{2}}[/tex]

z = 20

solve:
3x + 2y = -4
x - 2y = 4

Answers

Topic : Linear equations in two variables.

Given :

3x + 2y = -4 ––– (i)x - 2y = 4 ––– (ii)

Solution :

Now,

(i) + (ii)

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + (x - 2y) = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + x - 2y = 0}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 3x \: \cancel{ + 2y} + x \: \cancel{- 2y} = - 4 + 4}[/tex]

[tex] \qquad \sf \: { \dashrightarrow 4x = 0}[/tex]

[tex] \qquad \bf \: { \dashrightarrow x = 0}[/tex]

Now, substituting the value of x in Eq (i) :

[tex]\qquad \sf \: { \dashrightarrow 3x + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 3(0) + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 0 + 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2y = -4}[/tex]

[tex]\qquad \sf \: { \dashrightarrow y = \dfrac{ - 4}{2} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow y = -2}[/tex]

Therefore, The value of x = 0 and y = -2

The solution to the two given simultaneous equations are; x = 0 and y = -2

How to find the solution to simultaneous equations?

We are given the simultaneous equations;

3x + 2y = -4   -----(eq 1)

x - 2y = 4      ------(eq 2)

Add eq1 and eq2 to get;

4x = 0

x = 0/4

x = 0

Substitute 0 for x in eq 2 to get;

0 - 2y = 4

-2y = 4

y = -4/2

y = -2

Read more about Simultaneous Equations at; https://brainly.com/question/16863577

simplify, please help its due in a few hours TvT

Answers

Answer:

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]  , [tex]a^{0}[/tex] = 1

given

[tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ [tex]3^{0}[/tex] )²

= [tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ 1 )²

= [tex]3^{-6}[/tex] × [tex](3^4)^{2}[/tex]

= [tex]3^{-6}[/tex] × [tex]3^{8}[/tex]

= [tex]3^{(-6+8)}[/tex]

= 3²

Hellllp me please it’s 12:04 am I got school tomorrow

Answers

Answer:

where in the world are you-? its 12:04 am-?!

Ellis buy 24 cans of soda in packs of 6 each pack costs £1.80 Connor buys 24 cans of soda in packs of 8 each pack costs £2.10 Ellis pays more for his 24 cans than Connor how much more?

Answers

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Given :-

Ellis buy 24 cans of soda in packs of 6 soda cansEach pack (Contains 6 soda cans) cost £1.80Connor buys 24 cans of soda in packs of 8 soda cans Each pack ( Contains 8 soda cans) cost £2.10

To Find :-

We have to find out that how much more Ellis has to pay for soda cans than connor?

Let's Begin :-

Ellis bought total 24 soda cans but in packs

Each pack contain 6 cans

Therefore,

Total packs bought by Ellis

[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]

[tex]\sf{ = 4 \: packs }[/tex]

Ellis bought 4 packs of soda cans

The cost of 1 pack = £1.80

So,

Total cost paid by the Ellis

[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]

[tex]\sf{ = {\pounds}7.20 }[/tex]

Thus, The total cost paid by Ellis is £7.2

Now,

Connor also bought 24 cans of soda but in packs

Each pack contain 8 soda cans

Therefore,

Total packs bought by Connor

[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]

[tex]\sf{ = 3 \: packs }[/tex]

Connor bought 3 packs of soda cans

The cost of 1 pack = £2.10

So,

Total cost paid by the Connor

[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]

[tex]\sf{ = {\pounds}6.30 }[/tex]

Thus, The total cost paid by connor is £6.30

From Above we can conclude that,

Ellis had paid more than connor

That is,

Ellis had to pay more than connor by

[tex]\sf{ = 7.20 - 6.30 }[/tex]

[tex]\sf{ = {\pounds}0.90}[/tex]

Hence, Ellis paid more than connor by £0.90.

Which is bigger

3/6 or 2/3

Answers

Answer:

2/3

Step-by-step explanation:

2/3 = 4/6

Is 4/6 bigger than 3/6?

Yes.

2/3 is bigger than 3/6.

And also, if you convert 2 of the fractinos to decimals, 2/3 will be approximately 0.67 and 3/6 will be 0.5.

Is 0.67 bigger than 0.5?

Yes.

2/3 is greater than 3/6

How to determine the bigger number?

The numbers are given as:

3/6 and 2/3

Express both numbers as decimals to two decimal places

0.50 and 0.67

By comparison, we have:

0.67 is greater than 0.50

This means that:

2/3 is greater than 3/6

Read more about fractions at:

https://brainly.com/question/11562149

Define a variable and write an equation to find each number. Then solve.
Three times a number is 24 less than the number. What is the number?

Answers

Answer:

-12

Step-by-step explanation:

Let x be "the number."  

"Three times a number" means 3x

"is 24 less than the number" means = x-24

Put them togehter:

3x = x-24

2x = -24

x = -12

Check:  Is 3(-12) = 24 less than -12?  YES.

Help with both problems please! no links no files

Answers

Answer:

Question 8:

2(12x+9y)

Question 9:

2(x+3)+2

Step-by-step explanation:

I hope this helps

Help if u understand thanks

Answers

Answer:

It's answer #2 {(-9,5), (3,5), (0,1), (-6,8)}

Step-by-step explanation:

A non-function would be one that has TWO answers for ONE input, such as when you have y squared = 4. You can have y = 2 or -2. If you graph this, you would have a point directly above the other point on a graph.

help guys, quick I really need help :)
6(2x+7)

Answers

multiply the 6 to everything in the parentheses. 12x+42 is ur answer !!!! i hope this helped :)

Answer:

12x + 42

Solution:

Simplify the distributive property and solve.

6(2x+7)=> (2x × 6) + (7 × 6) => 12x + 42

Hence, the simplified expression is 12x + 42.

Determine the general term of the sequence 2;4;6..​

Answers

Answer:

tn=a+(n-1)d

a=2

d=2 so

tn=2+(n-1)2

=2+2n-2

2n

Which matrix represents the system of equations shown below?

Answers

Answer: A.

Step-by-step explanation:

The correct answer is A.

Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.

Answers

Answer:

1 is 3 2 is 4 3 is 6 that is all I know

Step-by-step explanation:

i did it already

here is anthor thing i need help with lol

Answers

Answer:

Subtract 40 from both sides.

Full process:

4(n + 10) = 34

4n + 40 = 34

4n = -6

n = 1.5

Plz help I want the answer only plz help quickly.

Answers

Answer:

(5,2) is the correct and

Answer:

i think your answer is C

Step-by-step explanation:

Exit
Which survey is biased?
A. Going to the mall and asking people what their favorite color is.
B. Going to the mall and asking people what their favorite place to shop is.
C. Going to the mall and asking people what television channel they watch most.
D. Going to the mall and asking people what radio station they listen to most often.

Answers

Probably B because if you go to the mall you will find people in front of their favorite shop so it will be biased

Kathy keeps track of the number of baskets she makes while practicing her free throw shots. She finds that out of 18 tries, she makes 7 baskets. If Kathy’s trend continues, about how many baskets should she expect to make out of 60 tries? 18 baskets

Answers

The number of basket Kathy will make out of 60 tries is 23 basket.

She keeps track of the number of basket she makes while practicing her free throw shots.  

She makes 7 baskets out of 18 tries.

Proportional relationship:

This is when quantities have the same ratios. Therefore,

18 tries = 7 baskets

60 tries = ?

cross multiply

number of basket = 60 × 7 / 18

number of basket = 420 / 18

number of basket = 23.3333333333

number of basket = 23 basket.

learn more on proportion here: https://brainly.com/question/718362

Which of the following is the inverse of y=3*?

Answers

Answer:

The answer is :

the second one ( [tex]y=log{3} x[/tex] )

aira needs 1/4 cup ice cream and 2/3 cup root beer to make a rootbeer float. she is using one measuring cup. how can she write 1/4 and ⅔ as a pair of fractions with a common denominator to fond out which measure cup to use

Answers

Answer:

11/12

Step-by-step explanation:

the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol

11/12 because i look at the answer the other dude gave and decided that this is probably the answer. Have a good day.

Before catching the bus for school, Josh, Michael, and Tyler went to the fridge and grabbed a 25-ounce container of orange juice to split evenly between them.
How much orange juice did each person get?

Answers

Answer: approx. 8.33 ounces

Step-by-step explanation: you are splitting 25 ounces between 3 people when we do 25 / 3. The decimal would continue at eight point three repeated. To round to the nearest hundredth the answer is 8.33 See picture.

Answer:

It would be like each get like a cup and a half

Step-by-step explanation:

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length. What is the lateral area of the prism? 12x square inches 12x2 square inches 36x square inches 36x2 square inches.

Answers

Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

How to find the lateral area of a triangular prism?

Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.

The lateral area of a right prism which is regular (all lateral sides congruent) is given by:

[tex]A_L = P \times h[/tex]

where, P = Perimeter of the base

h = height of that prism

For the given case, we have the base of the triangular prism of side length x units.

Thus, perimeter of the base = x + x + x = 3x

Height of the base = h = 4 times x = 4x

Thus, we get:

Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]

Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Learn more about lateral surface area of a prism here:

https://brainly.com/question/9656717

Awnser:

B: 12x (2) <----- (squared) square inches

Step-by-step explanation:

edge 2023

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