234 inch board is to be cut into three pieces so that the second piece is four times the length of the first piece and the third piece is eight times the length of the first piece find the length of each piece

Answers

Answer 1

Let the length of the first piece be "x", second piece be "y" and third piece be "z".

Total length is 234 inches, so we can write:

\(x+y+z=234\)

Also,

• Second piece is 4 times the first piece, ,we can write:

\(y=4x\)

• Third piece is 8 times the first piece, ,we can write:

\(z=8x\)

Substituting these 2 equations into the first equation, we will have an equation in x. Then we solve for x. Shown below:

\(\begin{gathered} x+y+z=234 \\ x+4x+8x=234 \\ 13x=234 \\ x=18 \end{gathered}\)

Consequently, we can find y and z >>>>

y = 4x

y = 4(18)

y = 72

and

z = 8x

z = 8(18)

z = 144

Answer

First Piece = 18 inches

Second Piece = 72 inches

Third Piece = 144 inches


Related Questions

Quick algebra 1 question for some points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Quick algebra 1 question for some points!Only answer if you know the answer, quick shout-out to Dinofish32,

Answers

\( \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x\)

\( - 3(2) = 6 = x\)

( - 6 , 2 ) Option a

What does the y-intercept represent in this situation? the maximum weight allowed in a shipment the minimum weight of a single box of screws the minimum number of screws in a single box the maximum number of single boxes for a shipment

Answers

The y-intercept represents a. the maximum weight allowed in a shipment.

Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.

What is a graph?

A graph is a diagram or the representation of variations between two or more variables with respect to each other.

A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.

What is y-intercept?

The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.

Let's solve the question:

It is given in the question that the graph is of  Amount of allowed weight remaining Vs the Number of boxes.

As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.

Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.

Hence the answer is a. the maximum weight allowed in a shipment.

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Disclaimer: The given question is incomplete. The complete question is mentioned below:

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

a. the maximum weight allowed in a shipment.

b. the minimum weight of a single box of screws.

c. the minimum number of screws in a single box.

d. the maximum number of single boxes for a shipment.

Has anyone done IXL N.2 for 7th grade I need help!!

Has anyone done IXL N.2 for 7th grade I need help!!

Answers

Answer:

22.5 or 22 1/2 yards

Step-by-step explanation:

71.50 + 52.25 = 123.75

123.75 ÷ 5.50 = 22.5

opposite of 45 i need help beause on opposite i am so i don't know the answer alos have opposite 21 and alos 52 and 9,6, 89 all my last one then i have stuff like 17+N= and i don't know that i need help

Answers

Answer: the opposite of 45 is......-45????

Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.

Answer:

the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero

Step-by-step explanation:

i think that's what u wanted but the question was kind of unclear

sindi covers 72 km in 6 hours and 15 minutes on her racing bike calculate her average speed​

Answers

Answer: 11.25 kmph or 6.99 mph

Step-by-step explanation:

take the speed equation s=d/t (speed equals distance over time)

s=72/6.4 (15 min is 0.4 of an hour)

your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour

(07.01, 07.02 MC)

An expression is shown below:

6x2y − 3xy − 24xy2 + 12y2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

A: The expression is 3y(2x² - x - 8xy + 4y).

B: Completely factorized expression is 3y{x(2x - 1-8y) + 4y}.

Part A: To factor out the greatest common factor (GCF), we need to find the highest power of each variable that appears in all terms. In this expression, the variables are x and y.

The GCF of the coefficients is 3, and the GCF of the variables is xy.

Factoring out the GCF, we get:

3y(2x² - x - 8xy + 4y)

Part B: To factor the entire expression completely, we look for common factors among the terms and apply factoring techniques.

The given expression is:

6x²y − 3xy − 24xy² + 12y²

First, let's factor out the GCF of the coefficients, which is 3:

3y(2x² - x - 8xy + 4y)

Factor out x from the common terms,

3y{x(2x - 1-8y) + 4y}

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Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?

Answers

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

worth 10pts if someone can help!

worth 10pts if someone can help!

Answers

Answer:

y=-x

I found the points then simplified it down

Answer:

hmm maybe trying using 2y=5x-2

Step-by-step explanation:

how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2

maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong

Find a positive angle less than 360° or 2π that is coterminal with the given angle.-266°

Answers

We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

\(360-266=94\)

Therefore, the answer is 94 degrees in the quadrant II

Find a positive angle less than 360 or 2 that is coterminal with the given angle.-266

What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?

Answers

Answer:

The volume would be 86.63 feet squared

Hope this helps!

Mark me brainliest if I'm right :)

The number of prime factors of 3×5×7+7 is

Answers

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Evaluate each expression.5. -36.97. 13 +-28. -12-8

Answers

7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

Malcolm started with a board that was 62/3 feet long. He then cut off a section that was 3 1/2 feet long. How much of the board is left?

A. 3 1/4 feet

B. 4 feet

C. 3 1/6 feet

D. 9 3/5 feet

Only for I Brainly Expert

Answers

The board is 3 1/6 feet left. The correct option is C.

To find out how much of the board is left, we need to subtract the length of the section that was cut off from the original length of the board:

6 2/3 - 3 1/2

To subtract these two mixed numbers, we need to find a common denominator. The smallest common denominator of 3 and 2 is 6:

Next, we can simplify the fractions,

62/3 - 3 1/2

= 20/3 - 7/2

= (40 - 21)/6

= 19/6

= 3 1/6 feet.

Therefore, the answer is C. 3 1/6 feet.

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Which function is positive for the entire interval [-3, -2]?

Which function is positive for the entire interval [-3, -2]?

Answers

Answer:

A function that is positive in the entire interval [-3, -2] is -x2 - 5x - 5.

Answer:

The second function (second graph and choice)

Step-by-step explanation:

If you look at the second function you will see that within the closed interval [-3,-2] the graph y  values are positive

First choice is incorrect since at x = -2  the y value is negative

Third choice incorrect since at x = -2, y value is negative

Fourth choice incorrect since y value is negative for x = -2

What is the solution to this equation?
9 ^x- 1 = 2
O A. 1
O B. 2
O C.
1/2
OD. -1/2

Answers

The solution to this equation 9ˣ - 1 = 2 is 1/2.

The correct option is A.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

An equation:

9ˣ - 1 = 2

Simplifying,

9ˣ  = 3

3²ˣ = 3

Comparing, we get,

2x = 1

x = 1/2

Therefore, the solution is x = 1/2.

Given: AQ ≅ RQ
∠YAF and ∠FRY are right angles.
Prove: AQY ≅ RQF

Answers

Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.

How to explain the information

Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

1. AQ ≅ RQ (Given)

2. ∠YAF and ∠FRY are right angles (Given)

3. ∠AQY = ∠RQF (Vertical angles are congruent)

4. AQ = RQ (Given)

5. AY = RY (Side-Angle-Side Congruence)

6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)

7. AQY ≅ RQF (SAS Congruence)

Therefore, AQY ≅ RQF.

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Given: AQ ≅ RQ

∠YAF and ∠FRY are right angles.

Prove: AQY ≅ RQF

Given: AQ RQ YAF and FRY are right angles.Prove: AQY RQF

Ruiz Creek overflows its banks after 12 centimeters of rainfall. One day rain fell at the rate of 4 centimeters every hour. How much time did people living by Ruiz Creek have to get away from danger?
2 hours
3 hours
4 hours
5 hours
Please assist

Answers

Answer:

3 hours

12 (the amount of cm it takes to overflow) divided by 4 (the amount of rainwater that falls in an hour) = 3

hello please help i’ll give brainliest

hello please help ill give brainliest

Answers

Answer:

B.) teacher

Step-by-step explanation:

good luck!!!

can you give me brainliest pls im trying to level up lol

7th grade math help me pleaseeee

7th grade math help me pleaseeee

Answers

Answer:

option 2 : 754 in³

Step-by-step explanation:

diameter = 8 => radius, r = 4 inches , h = 15 inches

\(volume = \pi r^2 h\)

          \(=\pi \times 4^2 \times 15 \\\\=753.9 \ in^3\\\\= 754 \ in^3\)

Step-by-step explanation:

volume of cylinder = πr²h

22/7×4²×15. {radius (r)=diameter/2)754in³

its yr ans.

hope it helps

stay safe healthy and happy.

What is the value of x? Enter your answer in the box. x =

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

4 units

Step-by-step explanation:

Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA

Line LJ is the opposite side while LK is the hypotenuse side. Hence,

Sin 30 = LJ/8√2

LJ = 8√2 × 1/2

= 4√2

Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.

Sin 45 = x/4√2

x = 4√2 × 1/√2

x = 4

Answer:

4

Step-by-step explanation:

Just took the test in k12

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.

Answers

The average apple weight's 95% confidence interval is (119.14, 125.86).

According to one manufacturer, an apple weighs 120 grams on average with a 12-gram standard variation. According to statistics generated from a sample of 49 apples randomly selected from a shipment, the average weight per apple was 122. 5 grams.

Let, 

n = 49

x = 122.5 

σ = 12

To figure up and analyze a 95% confidence interval for the average apple weight; 

The formula for a 95% confidence interval is

(x ± 1.96*σ√n) 

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Consequently, a 95% confidence interval for the average apple weight is (119.14, 125.86).

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Round each fraction to help you estimate the solution for the following equation:1/6 + 5/6 = ____A. 0B. 1/2C. 1D. 2

Answers

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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what is the measure of angle OAC

what is the measure of angle OAC

Answers

Answer:

60

Step-by-step explanation:

please help i've been stuck on this for a while

please help i've been stuck on this for a while

Answers

Answer:

SSS Postulate

Step-by-step explanation:

The first says 2 sides are the same

The second says 2 sides are the same

The last says 2 sides are the same

Side side side

SSS Postulate

Given triangle EFG, select the graph of image E 'F'G'and confirm that it preserves length and anglemeasures.(x,y) -(x-3, y + 1)

Given triangle EFG, select the graph of image E 'F'G'and confirm that it preserves length and anglemeasures.(x,y)

Answers

We have a transformation for the triangle EFG. In this case is a translation.

We can verify with one of the points which one of the graphs correspond to this transformation.

The transformation is:

(x,y) --> (x-3, y + 1)

We look at point E = (-0.5, 0).

We apply the transformation and get:

(-0.5, 0) --> (-0.5-3, 0+1) = (-3.5, 1)

Then, the graph that has E located in the point (-3.5, 1) is the right one.

In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.

Answers

Answer: J = 20.1

Step-by-step explanation:

sin J = hypotenuse/opposite = 11/32

Sin J =11/32

J=sin-1(11/32)

J= 20.1055

The sample space for tossing a coin 3 times is {hhh, hht, hth, htt, thh, tht, tth, ttt}. determine p(2 tails). a. 12.5% b. 37.5% c. 50% d. 75%

Answers

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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how many meters are equal to 3,736 cm

A. 373.6 meters

B. 3.736 meters

C. 37.36 meters

D. 37,360 meters

Answers

Answer:

C

Step-by-step explanation:

3,735 cm = 37.36 meters

An algorithm is a calculation that determines how long it will take to solve a problem. True or False?

Answers

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The purpose of a(n) is to create an accurate drawing of either a very large or very small object

Answers

The purpose of a scale factor is to create an accurate drawing of either a very large or very small object.

What is scale factor?

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric objects (shapes) such as equilateral triangles, quadrilaterals, polygons, river, planets in our solar system, etc.

Mathematically, the scale factor of a geometric object (shape) such as a map can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Generally speaking, a scale factor is typically used in conjunction with dilation, which is a type of transformation that changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased (enlarged) or decreased (reduced) based on the scale factor that is chosen and used.

In this context, we can reasonably infer and logically deduce that the purpose of a scale factor is simply for the creation of an accurate drawing of both very small geometric object and very large geometric object.

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