Mathematics College

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 distance between the pair of points (2,-1) and (-5,-5)?

Answers

Answer:

down 4 and over 7 so 11

Step-by-step explanation:

A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?

Answers

Answer:

$151.80 was the total bill including tip.

Step-by-step explanation:

$126.50 x 20% = $25.30

$126.50 + $25.30 = $151.80


$151.80

$126.5•1.2=$151.8

Choose the sentence that is out of sequence.

Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.

Answers

Answer:

C.

Step-by-step explanation:

Which value is NOT a solution of x^3 + 64 = 0

Answers

Hi can we see the choicest

PLS HELP WILL GIVE BRAINLESS

Given 4 < a < 5, 2 < b < 4 Find: a / b

Answers

Answer:

I hope this helps!

Step-by-step explanation:

4<a<5

2<b<4   multiply

4x2 < axb < 5x4

8<ab < 20

Answer:

1<a/b<2.5

Step-by-step explanation:

bro you're gonna give me brainless ://

We are given 4<a<5 and 2<b<4 and are asked to find a/b.

Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.

For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).

Given these extremes, we can now rewrite the inequality.

(smallest value)<a/b<(largest value)

1<a/b<2.5

Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11

Answers

Answer:

(x - 5)² + (y + 13)² = 121

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, - 13 ) and r = 11 , then

(x - 5)² + (y - (- 13))² = 11² , that is

(x - 5)² + (y + 13)² = 121

How do I do number 2 and 4 please help

Answers

Answer:

2: 176.8mm

4: ?

Step-by-step explanation:

2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8

4: I can't see the problem, sorry :(

Answer:

2. 2461.8

4. 86.6

Explanation:

your formula for area is pi×radius^2

you are using 3.14 for pi

and your radius is half way across the circle or half the diameter.

2. 3.14×(28)^2

3.14×784

=2461.8

4.This one shows the diameter so you have to divide it by 2 first.

10.5/2=5.25

radius=5.25

3.14×(5.25)^2

3.14x27.5625

=86.6

I ROUNDED BOTH ANSWERS AT THE END

HELPP!!! 65 points GIVIN

Answers

its 3 1/4 you will thank me later :)

Answer:

the third one

3 1/4

Step-by-step explanation:

What is the sum?

46 mins left please help!!!!!

Answers

The sum is 6/x^2 so the answer is A

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

What is the value of the second quartile

Answers

Answer:

the value is 20 out of 100

Step-by-step explanation:

Math please help!!!!

Answers

Answer:

6.3 years

Step-by-step explanation:

Given

[tex]P = 22400[/tex] --- initial value

[tex]r = 12\%[/tex] -- rate

[tex]A = P(0.88)^t[/tex] --- function

Required

Find t when [tex]A = 10000[/tex]

We have: [tex]A = P(0.88)^t[/tex]

Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]

[tex]10000 = 22400 * 0.88^t[/tex]

Divide both sides by 22400

[tex]0.4464 = 0.88^t[/tex]

Take log of both sides

[tex]\log(0.4464) = \log(0.88^t)[/tex]

Apply law of logarithm

[tex]\log(0.4464) = t\log(0.88)[/tex]

Solve for t

[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]

[tex]t = \frac{-0.3503}{-0.0555}[/tex]

[tex]t = 6.31[/tex]

[tex]t \approx 6.3[/tex]

Completing the table

Answers

yes yes yes yes yea. a a haha

A:Consecutive interior angles
B:Vertical angles
C:Alternate exterior angles
D:Corresponding angles

Answers

Answer:

D: corresponding angle

hope it helps.

Answer:

corresponding angles

Step-by-step explanation:

hope it is helpful ><

Please help

A vector is drawn on a grid

Answers

Answer:

.....

..

...

..

Step-by-step explanation:

I cant see the grid

If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot

Answers

Answer:

29.7 ft tall

Step-by-step explanation:

29.75ft. tall is the building.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, we have,

from the figure , we get,

Hypotenuse = 37 ft.

Base= 22 ft.

Let, the building = height = x ft.

Now , by Pythagorean theorem, we have,

x=√37²-22²

 =√885

 =29.75

Hence, 29.75ft. tall is the building.

To learn more on Pythagorean theorem click:

brainly.com/question/24302120

#SPJ2

If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?

Answers

Answer:

20 adults

100 Children

Step-by-step explanation:

Answer: 20 adults and 100 children

Step-by-step explanation:

a = adults, c = children

120 = a + c

c = 5a

120 = a + 5a

120 = 6a

20 = a

20 times 5 is 100 so 100 children

Which of the following is most likely the next step in the series?

Answers

Answer:

Its D

Step-by-step explanation:

A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?

Answers

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Add all paper clip sizes together:

[tex]100 + 250 + 150 = 500[/tex]

They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.

[tex]100 + 250 = 350[/tex]

Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.

Can divide 350 and 500 by 50, which simplifies it down to 7/10.

[tex]\frac{350}{500} = \frac{7}{10}[/tex]

The probability that the paper clip selected is either small or medium is 7/10.

What is the probability that the paper clip is either small or medium?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)

= 100/500 + 250 / 500 = 350 / 500 = 7/10

To learn more about probability, please check: https://brainly.com/question/13234031

The cardinal number of {17, 18, 19, 20, ..., 95} is

Answers

Answer:

95

Step-by-step explanation:

a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s

How many solutions dose x+y=10 x+y=12

Answers

There’s are 2 choices bffbbcn

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?

Answers

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

Submit

IM.MP3.PC.2020-2021

Question: 1-2

Examine the polygons on the coordinate plane.

162

Select the triangle that represents a translation of

GHK.

B В

A

H

D

B

Ο Ο Ο Ο

C С

A

С

Answers

Answer:

can you send a picture please

m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x​

Answers

1233444567801082737373727272

Anyone know this answer Help ASAP

Answers

Answer:

The right answer is A (x=2,y=-1)

Find the slope!
19.) (-3, 4) and (-4,-2)

Answers

Answer:

Slope is 6

Step-by-step explanation:

(-3, 4) and (-4, -2)

m=(y2-y1)/(x2-x1)

m=(-2 - 4)/(-4 + 3)

m= (-6)/(-1)

m = 6

Marking as brainliest



So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!

Answers

you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.

sorry if that's confusing or wordy! hope it helps!

All but one of the following cannot be used internationally​

Answers

Answer:

I think national flag cannot be used internationally

Step-by-step explanation:

hope it helps you

What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?

(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft

Answers

Answer:

40 ft

Step-by-step explanation:

lxbxh is 40 hope it helps have a great day Mark me as brainiest please

To find the volume of a rectangle, you multiply the length, width and height together, so 4 x 5 x 2 which gives you 40! The answer is C, 40! Hope this helps :)

3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.

Answers

Answer:

D) There are two pairs of opposite parallel sides.

Step-by-step explanation:

A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.

the answer is d there are two pairs of opposite parallel sides
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