A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?

Answers

Answer 1

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.


Related Questions

A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?

Answers

Answer:

[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k)  is the center of the circle and r is the radius.

For this circle, the center is (5, -9) and the radius is 12. Therefore:

[tex]h= 5 \\k= -9 \\r=12[/tex]

Substitute the values into the formula.

[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]

Distrubute the -1 into the -9.

-(-9)= -1*-9= 9

[tex](x-5)^2+(y+9)^2=(12)^2[/tex]

Solve the exponent.

(12)²= 12*12=144

[tex](x-5)^2+(y+9)^2=144[/tex]

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144

Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.

The equation of a circle.

Mathematically, the standard form of an equation of a circle is given by;

(x - h)² +(y - k)² = r²

Where:

h and k represents the coordinates at the center.r is the radius of a circle.

Given the following data:

Coordinates (h, k) = (5, -9).Radius = 12.

Substituting the given parameters into the formula, we have;

(x - 5)² +(y - (-9))² = 12²

(x - 5)² +(y + 9)² = 144

Read more on circle here: https://brainly.com/question/14078280

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Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >

Answers

Answer: 2 rays that meet an endpoint

(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)

Answers

3210080 should be your answer

Need as soon as possible

Answers

Answer:  136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

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

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three​ sides?
What is the length of the two sides that have the same​ length?

Answers

Answer: 5

Step-by-step explanation:

x = common side length

2x + (2x - 6) = 14

4x - 6 = 14

4x = 20

x = 5

the equation of a circle whose center is (-5, 3) and whose radius is 6?

Answers

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.

We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."

Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.

please help 100points!!!!
And I will make brainiest
only if there is a good explanation.

Answers

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

please refer to the above attachment

(D) is the right answer.

{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]

Answers

Answer:

The answer is 0.

Step-by-step explanation:

solve 9+5=14

14/7=2

2-2=0

solve the pther side

25-20=5

4*5=20

0*20=0

solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation

Answers

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.



plz help

Answers

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.

Answers

Answer:

A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02

the decision rule. Assume the standard deviation is known to be 11.011.0.

Step-by-step explanation:

A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds

Answers

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

Write the given percent of increase or decrease as a growth factor.



7% Increase


a.1.7

c. 7.1

c.1.007

d.1.07

Answers

Answer: D

Step-by-step explanation:

xy^2-x^2y
x= -1
y= -2​

Answers

Answer:

xy(x-1y)

Step-by-step explanation:

xy^2-x^2y

=solution,

taking common

xy(x-1y)

The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3

Which of the following is the best estimate of the volume of
this water tank?

Answers

umm honestly it would be 58,320 yd

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof

Statement Reason
1.
LA ≅ ?? Given

Given
2.
TA ≅ ??? Reflex Prop.

3. ∠LAT≅∠ ??? ???

4. △LAT≅△ ??? ???

Answers

Answer:

I don't know all of these, but I do know some.

Step-by-step explanation:

1. LA ≅ SA Given

2. I'm sorry I don't know this

3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.

4. △LAT≅△ TAS and I believe it's SAS for the reason.

Answer:

Answers in explanation

Step-by-step explanation:

LA ≅ SA              |  Given

TA ≅ TA              |  Reflexive Property

∠LAT ≅ ∠SAT    |  Definition of angle bisector

△LAT ≅ △SAT   |  SAS

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8

Answers

Answer:

1/8

Step-by-step explanation:

That's the same assignment I have and you just have to think it through mate.

Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84

Answers

Answer:

its c or 83 bc you add them all together then divide by the amount of grades he has in total

answer: (C) 83

explanation: 70+89+91+82= 332/4(all together) would be 83

Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answers

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?

Answers

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft

Answers

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have​

Answers

Answer:

Ivan has 42 blue beads.

Step-by-step explanation:

We need to find how many blue beads Ivan has.

Blue beads = 6 times as many as red beans

b = 6r

r + b = 49

r + (6r) = 49

7r = 49

Divide both sides by seven to isolate r

r = 7

b = 6(7)

b = 42

Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y

Answers

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Please solve the question below 4

Answers

Answer:

The answer is C

Step-by-step explanation:

The graph has a normal distribution, mean at 3.6, and a standard deviation of 0.6

Answer:

the Correct Answer Is c

Step-by-step explanation:

PLZ PLZ PLZ MARK AS BRAINLIEST LOL PLZ

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

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