a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces ​

A 56-inch Board Is To Be Cut Into Three Pieces So That The Second Piece Is Three Times As Long As The

Answers

Answer 1

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch


Related Questions

Find the solution(s) of the following equation.
16
ba
121
Lesson 3:
numbers
Choose all answers that apply:
Lesson 4: $
line
4
Lesson 5:1
11
4
11
Extra pract
None of the above
Quiz 1:6
Prarth

Answers

Answer:

C and D

Step-by-step explanation:

::::

b= 4/11 , b= - 4/11

Which of the following number sentences is true?
A -9=9
B-9=-(9)
C 9=(-9)
D 9=-(-9)

Answers

Answer:

A and D are the true number sentences

Do the values of the numbers increase or decrease as the numbers go from -2 to -8?

Answers

Answer:

The number decreases

Step-by-step explanation:

The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives

Thirty percent of credit card holders carry no monthly balance, while 70% do. Of those card holders carrying a balance, 30% have annual income $20,000 or less, 40% between $20,001 - $50,000, and 30% over $50,000. Of those card holders carrying no balance, 20%, 30%, and 50% have annual incomes in these three respective categories.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?

Answers

Answer:

a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.

b) 0.778 = 77.8% probability that (s)he carries a balance

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?

20% of 30%(carry no balance).

30% of 70%(carry balance). So

[tex]P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27[/tex]

0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.

b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?

Conditional probability.

Event A: Annual income of $20,000 or less.

Event B: Carries a balance.

0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less

This means that [tex]P(A) = 0.27[/tex]

Probability of a income of $20,000 or less and balance.

30% of 70%, so:

[tex]P(A \cap B) = 0.3*0.7 = 0.21[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778[/tex]

0.778 = 77.8% probability that (s)he carries a balance

Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?

Answers

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

f(x) = x*6 = 6x

The length of the longer side is:

g(x) = (x + 3)*6 = 6x + 18

The area of the quilt is:

A = 6x(6x + 18) = 36x² + 108x

What is bigger 1/9 or -4

Answers

Answer:

1/9

Step-by-step explanation:

1/9 since it is positive

Answer:

Its 1/9.

Step-by-step explanation:

1/9 is indeed a fraction, and -4 is a negative number.

i put 15 i think it’s wrongs please help

Answers

Answer:

[tex] \sqrt{( {0 - 12}) {}^{2} + (1 - 10) {}^{2} } \\ = \sqrt{0 + 81} \\ = \sqrt{81} \\ = 9[/tex]

[tex] \huge\mathfrak\pink{A} \huge\mathfrak\purple{n} \huge\mathfrak\blue{s} \huge\mathfrak\red{w} \huge\mathfrak\green{e} \huge\mathfrak\orange{r}\ [/tex]

9 is the correct answer

34 divided by 8 please I’m helping a kiddo out

Answers

4.25 that’s the answer

Answer:

4.25.                                            

           

8 divides into 34 4 times, which is 32, then do 34−32, which is 2 (make sure to add your decimal) , then drop the 0 and it goes into 20 twice, subtract and get 4, drop a 0, then subtract 40 by 40 again and get 4.25

Find an expression which represents the sum of (8x+10y)

Answers

Answer:

Not sure of what your asking....

Step-by-step explanation:

equivalent to: 2(4x+5y)

Answer:

2(4x+5y)

Step-by-step explanation:

the sum of 8x+10y is 8x+10y

i guess you could make it even more complicated if you want

ln(8x)=ln(1/(10y))

ln(8x/(1/(10y)))

or you can just keep it simple

8x+10y = 2(4x+5y)

Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]

Answers

Answer:

2

Step-by-step explanation:

(3-8)-(4-5-6)

(-5)-(-7)

-5+7

2

Using subtraction, the solution of the given equation is 2.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

= [3 - 8] - [4 - 5 - 6]

= [-5] - [4 - 11]

= -5 - [-7]

= -5 + 7

= 2

Learn more about subtraction here

https://brainly.com/question/1927340

#SPJ2

Flowers can contain one or both sexes of flower parts. A ___ is the B____ is the C ____ is the All of these are male or female?​

Answers

Answer:

Answer:A) Anther( male )

B) Filament or stalk

Explanation:-The male parts of the flower are called the stamens and are made up of the anther at the top and the stalk or filament that supports the anther.

What is the probability of choosing a heart or a six from a deck of cards? Type your answer as a fraction.

Answers

Answer:

17/52

Step-by-step explanation:

please ..........help me ​

Answers

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

F(6) = 2(6)^2 + 5 sqrt(6-2)

Answers

Answe well this look complicated gimme some time

Step-by-step ex

The distance by road from town A to town B is 242km.
What is 50% of that distance? A484 b 121 c 242 d
13

Answers

Answer: Option b 121km

50% means half, so the half of 242km is 121km, so option B 121 is correct.

Step-by-step explanation:

242/2=121

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

A tent that sells for 250 is on sails for 20% discount what's the sale price of the tent

Answers

Step-by-step explanation:

Original price- $250

Discount 20% x   20

                       -----------

                        5000

Equals amount taken off $5000

Subtract original price        -250

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

                 Sale Price          4750

Hope this helps! If this is not the answer please tell me!

Find the surface area of each figure to the nearest tenth.


Answers

Answer:

A≈471.24 is the surface area of the cylinder

58m^2 is the surface area of the triangular prism

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389

Triangle area formula

area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

4(2.5)+8(6)

10+48=58m^2

Hope this helped!!!

The value V (in dollars) of a milling machine depends on the number of hours x it is operated as
given by the formula V = 750,000 - 120x. After one year, the value of the milling machine is
between $450,000 and $480,000.
Which range for the hours the machine is operated does this correspond to?

Answers

Basically, you have to understand the logic of a function.

V = 750,000 - 120x

If I plug in a value into V that represents the value of a milling machine, if I simplify the equation, I will be able to find x, the corresponding time to the value of the milling machine.

Knowing this logic, we can plug in $450,000 and $480,000, and then we will have two x-values. Then we can just find the range of the x-values to find our answer! :)

Let's go.

V = 750,000 - 120x

Plugged in 450,000 for V so now we can simplify the equation and find out what is the corresponding x-value for this value at this certain time.

450,000 = 750,000 - 120x

-450,000  -450,000

0 = 750,000 - 120x

+120x on both sides to isolate x

120x = 300,000

x = 2500

So, our first x-value in the range is 6250 hours. Now, let's plug in the larger value to find out the other x-value in the range.

V = 750,000 - 120x

480,000 = 750,000 - 120x

-480,000  -480,000

0 =  270,000 - 120x

Add 120x on both sides to isolate x

120x = 270,000

x = 2250

So, we found 2250 and 2500. So, the range of hours it corresponds to is 2250-2500.

Step by step explanation!

Answers

Answer:

yhe picture is blur.

Step-by-step explanation:

Estimate 719 – 274. Round each number first.

Answers

☁️Answer☁️

719 rounded up equals 720
274 rounded down equals 270

720-270= 450

b/4+ 2= -1
help me with this find b

Answers

Answer:

-12

Step-by-step explanation:

Pls do 4 and 5 for me <3

Answers


yuhhdhisjehe yup yup yup yup yup yup

Why Was A Book In The Frying Pan On The Stove?

Answers

because it was a cookbook ;)

1. If CA = 12 cm, what is the measure of ER?
1CD
CD​

Answers

Answer:

[tex]ER = 12cm[/tex]

Step-by-step explanation:

Given

See attachment for the given shape

Required

Length of ER

The given shape is a parallelogram and the opposite sides are: CA and ER

Given that:

[tex]CA= 12cm[/tex]

We have:

[tex]CA = ER[/tex] --- opposite sides of a parallelogram

So:

[tex]ER = 12cm[/tex]

Create two equivalent fractons for 3/4

Answers

Answer:

6/8 and 9/12

Step-by-step explanation:

You can find any by multiplying numerator and denominator by any given number. The number multiplied has to be the same for the top and the bottom

1. Number is 2

3/4 * 2/2 = 6/8 (3*2 = 6  and 4*2 = 8)

2. Number is 3

3/4*3/3 = 9/12 (3*3 = 9 and 3*4 = 12)

helppppppppppppppppppppppppppppp

Answers

Don’t fall for those fake links love!

Question Progress
Homework Progress
20/32 Marks
a) Write 375 as the product of prime factors.
Give your answer in index form.
b) Work out the Highest Common Factor of 375 and 150.

Answers

Answer:

a) 375 = 3 × 3 × 3× 3 × 5

in index form it is 3 × 5³.

prime factor of,

150 = 2 × 3 × 5 × 5.

To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.

ANS : 75

hope this helps you☺️☺️

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1

Answers

Answer: 7 x + 6 = 6 x minus 3

Step-by-step explanation:

2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3

Answer:7x+6=6x-3

Step-by-step explanation:

What linear expression would you add to -4y+2 to have a sum of y

Answers

Answer:

4

Step-by-step explanation:

Can you help me with this question please

Answers

Answer:

Triangle a was reflected across the x-axis to form triangle b

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