Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains

Answers

Answer 1

Answer:

3/5

Step-by-step explanation:

We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.

Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.

Least common multiple of 3 & 5 is 15.

Thus,let's make the length of the branch to be 15-meter long.

Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:

3, 5, 6, 9, 10, 12 meters.

We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;

Distinct lengths are;

3 metres

5 - 3 = 2 metres

10 - 9 = 1 meter

Total she removes = 3 + 2 + 1 = 6 meters.

Total remaining is;

15 - 6 = 9 meters

Expressing this as a fraction of the original branch gives:

9/15

Divide both numerator and denominator by 3 to get; 3/5


Related Questions

What’s 100+100 I’ll make brainliest

Answers

Answer:its 200

Step-by-step explanation:

Answer:

Its 200, that's a funny question though!

Step-by-step explanation:

Have a good day!

Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6

Answers

Answer:

its a i did it on egn

Step-by-step explanation:

What's the rule for translating a point 4 units left and 8 units up?

Answers

The second notation is a mapping rule of the form (x,y) → (x−7,y+5). This notation tells you that the x and y coordinates are translated to x−7 and y+5. The mapping rule notation is the most common. Sarah describes a translation as point P moving from P(−2,2) to P (1,−1). Hope that helps you

Answer:

(x−7,y+5)

A p e x n dat

If f(x)=14x−6, find f(−12).

Answers

Answer:

f(-12) = -174

Step-by-step explanation:

f(x) = 14x − 6

f(-12) = 14(-12) - 6

f(-12) = -168 - 6

f(-12) = -174

hope this helps, pls mark brainliest :D

If the cost of plastering 4 walls of a room at Rs 45 per sq. m is Rs 8100, find the area of the 4 walls of the room​

Answers

Step-by-step explanation:

Rs8,100 / (Rs45 per square meter)

= 180 square meters.

The area of the 4 walls of the room is 180 sq.m.

Solve C= AB+ D for B

Answers

C-D=AB
B= (C-D)/A

Answer: The last answer choice

If you have the problem 752 divided by 3, what is the first step? Please help❤️

Answers

752/3

I got 250 remainder 2

What you could do is just check it like 250.666667(3)=752


But when you’re doing division you have to do 3 times by 2 for 7 which would equal to 6, 5 times by 3 would equal to 15 for 5 and last but not least 3 times by 0 would equal to 0 so you add in a 0 in front of the problem. Then you add a remainder into this problem because it’s the number of times you’ve used the quotient in division.

Find the equation of the line. Use exact numbers​

Answers

Answer:

y = 3/4x -2

Step-by-step explanation:

Rise 3, run 4. Slope 3/4. Y intercept at -2.

1 +1 2+2 3+3 4+4 5+5 6+6

Answers

46 i think. sorry if i’m wrong

ill give brainest i need help please

Answers

Answer:

[tex]5(x - 2) = \frac{15x + 6}{3} - 12 \\ 5(x - 2) = \frac{15x + 6 - 36}{3} \\ 5(x - 2) = \frac{15x - 30}{3} \\ 5(x - 2) = \frac{15(x - 2)}{3} \\ 15(x - 2) = 15(x - 2)[/tex]

No solution, as value of x doesn't exist.

Answer:

All real numbers

Step-by-step explanation:

Given

5(x - 2) = [tex]\frac{15x+6}{3}[/tex] - 12

Multiply through by 3 to clear the fraction

15(x - 2) = 15x + 6 - 36 ← distribute left side and simplify

15x - 30 = 15x - 30

Since both sides are equal then any real value of x will be a solution.

Thus the solution is All real numbers

please help me with this its math!!

Answers

The answer would be: y = 2x - 4

If this doesn’t look right, then I need you to tell me what kind of method you use to solve this then I will help more.

brainly won’t register this

Answers

Answer:

The simplified form is [tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

So before solving this question we need to know that.....

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

(proof)

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]

x = x

So now we can rewrite the question as.........

[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]

Answer:

A

Step-by-step explanation:

x^2/3

lowest common multiple of 22 and 14​

Answers

Answer:

LCM= 154

Step-by-step explanation:

Given 7(x)=-3x+9 g(x)=3x+1 h(x) =3x+3

Answers

Answer:

B.) 12

Step-by-step explanation:

h(x) = 3^x + 3

h(2) = 3^2 + 3

h(2) = 9 + 3

h(2) = 12

Plz help me I really need it

Answers

Answer:

i think [after solving] that it is option B and C

Step-by-step explanation:

2/3 divided by -1 1/3

Answers

Answer:

The answer is -0.5 or -1/2

Step-by-step explanation:

You can flip the second fraction over and multiply the two fractions by each other. It would be like this: 2/3 x -3/4, and multiply and you get -6/12 which can be further reduced to -1/2.

Hope this helped! Remember to use the formula Skip, Flip, Multiply in which you skip the first fraction, flip the division sign to multiply and flip the second fraction over!

USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Answers

For #3.

Zeros are 3 and -1 (plot them on the x-axis as a point)

Axis of symmetry is halfway between those so it’s: x=1

Vertex is (1, -4)

Y-intercept is (0,-3)

Domain is always all real numbers
Range is y is greater than or equal to -3

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

Learn more about quadratic function here:

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You roll 2 dice. If the sum of the dice is: 2, 3, 4 you win $20. If the sum is 5, 6, 7, 8 you win $10. If the sum is 9, 10, 11 you lose $20. If the sum is 12 you lose $25. It costs $5 to play. Create a probability distribution of the random variable, "winnings" including the cost to play, for this game. What is the expected value of the "winnings" for this game? What is the variance for the "winnings" for this game? What is the standard deviation? Is this game a "fair game"? Why or why not?

Answers

Answer:

1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]

For 5, we have 1/18 ×  (10 - 5) = 0.2[tex]\overline 7[/tex]

For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]

For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]

The expected value of the winnings is given as follows;

0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]

Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Explain what the y- intercept means in this context

Answers

Answer: they started at 360 feet

The y-intercept means the height above the canyon floor is 360 feet at

t = 0.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-intercept in a graph is the point on the y-axis.

This point is when x = 0.

So,

From the given context it means,

The height above the canyon floor is 360 feet at t = 0.

Thus,

The y-intercept means the height above the canyon floor is 360 feet at

t = 0.

Learn more about coordinates here:

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17. What is the equation of the graph?

16. What is the equation of the graph?

**Please help**

Answers

Answer:

Step-by-step explanation:

16.) B. y = 3x + 2

17.) y = -2

(show in graph below) - -

                                        |

                                       V


Thomas has a train collection. He was given 1 train as a gift, and he adds 2 trains per year. Which of the graphs below represents Thomas's
train collection?

Answers

Answer:

Graph A

Step-by-step explanation:

The line starts at 1 since that is what he began with. Then it grows by two because every year he gets too more.

Answer:

I am pretty sure the answer would be Option B.

Step-by-step explanation:

If you look on the graph, Option B is the one that makes the most sense because it goes up by a ratio of 1:2 just like in the problem, 1 gift train + 2 trains per year.

Option A would not make sense because it goes up by the ratio of 1:3 and doesn't match up with the problem.

Note:

I hope this helps! :) Please correct me if I am wrong.

What is 0.3 of 14? PLEASE HELP

Answers

Multiply 14 by 0.3

14 x 0.3 = 4.2

The answer is 4.2

Answer:

4.2 is the answer

Step-by-step explanation:

Remember, in math, 'of ' always mean multiplication!!!

Tyler is simplifying the expression 6−2x+5+4x. Here is his work: 6−2x+5+4x (6−2)x+(5+4)x 4x+9x 13x Tyler's work is incorrect. Explain the error he made. Simplify the expression 6−2x+5+4x.

Answers

You have to combine like terms. The 6 and the 5 go together to make 11. The -2x and the 4x go together to make 2x

The simplified answer should be 2x+11

Answer:

step 2

Step-by-step explanation:

he was not supposed to multiply by x

he was supposed to combine like terms

add -2x and 4x and add 6 and 5

Given the function f(x) =x+3 witch of the following represents f-1(x)?

Answers

Answer:

[tex]f^{-1}[/tex](x) = x - 3

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x + 3 (subtract 3 from both sides )

y - 3 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = x - 3

Write a polynomial function of least degree with integral coefficients that has the given zeros. 2, -1, 3 NEED EXAMPLES ON HOW TO GET THE PROBLEM USIN FOIL METHOD.

Answers

Step-by-step explanation:

*Assuming you meant polynomial function of degree 3*

The given zeros are 2, -1, and 3. To get the zeros in the first place, we have a deconstructed polynomial that looks like this:

(x-2)(x+1)(x-3)

Now, we can foil these out. **Quick note: if the degree of your polynomial is greater than 3, simply put a square root on one of the terms: (x-2)^2

After foiling you should get: x^3-4x^2+x+6

please simplify the equation : -8x-10x

Answers

Answer:

-18x

Step-by-step explanation:

-8 -10 = -18

What is the sum of the 12th square number and the 6th square number?​

Answers

Answer:

180

Step-by-step explanation:

The 12 th square number is

12² = 12 × 12 = 144

The 6 th square number is

6² = 6 × 6 = 36

Thus

sum = 144 + 36 = 180

which angles are alternate exterior angles?

Answers

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.

What's dis?? I will give brainliest...... TY

Answers

Answer:

A: 24

Step-by-step explanation:

The length of Brown's pin is 6, while the width is 2. If Johnson has two more meter in length, that's 8, and 1 more than the the width, that's 3. 8 x 3 is 24.  

Plis help me on how much you can thank you first to reply gets brainless

Answers

Answer:

yeet

Step-by-step explanation:

yeet yeet yeet yeet yeet yeet yeet yeet yeet eet yett yeet yeet yeet yeet yeet yeet yeet yeet yeety

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