A carpenter has several boards of equal length. He cuts 3/5 of each broads.After cutting the boards the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original board. How many boards did the carpenter star with?

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Length of boards are the same :

Let number of boards = x

Fraction cut from each board = 3/5

Total fraction cut = 3/5 * x

Fraction left = 1 - 3/5 = 2/5

Total fraction left = 2/5 * x

Total pieces left = 2/5 * x = 4 times length of original board

Note ; original fraction = 1

Hence,

2/5 * x = 4 * 1

2x / 5 = 4

2x = 4 * 5

2x = 20

x = 20 / 2

x = 10

Number of boards = 10


Related Questions

A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.

Answers

1,424 in eachh boxx

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

if you dissolve 10 grams of sugar in 30 grams of water you will make ___ grams from ___% sugar syrup. PLZZZ HELP! :P

Answers

Looks like 40 grams of 10/40 or 25% sugar concentration

You will make 40 grams of 25% sugar syrup.

P.s. ur welcome

Please help me with thisss

Answers

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

What are the solutions to the equations below? answer in simpliest form
3(2w+6)-2=2(6w-8)+2w
4(x-1)=1/2(x-8)
4(x+3)-4=8(1/2x+1)
2(2x-5)+2x=7x-1
3x+7x+1=2(5x+1)

Answers

Step-by-step explanation:

6w+18-2=12w-16+2w

32=8w

-8w=-32

w=4

4x-4=1/2x-4

3 1/2x=0

x=0

4x+12-4=4x+8

0=0

4x-10+2x=7x-1

-3x=9

x=-3

3x+7x+1=10x+2

0=1 (undefined)

Inequality for x: -25x +7 <107

Answers

Answer:

x>-4

Step-by-step explanation:

im pretty sure but i dont know

One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.

Answers

Answer:

Other root is 9 and p = 7.

Step-by-step explanation:

x^(2) - (3p-4)x + 11p-5 = 0 ,   x = 8.

Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:

8* A = 11p - 5

8 + A = -(-(3p - 4))

8 + A = -(-3p + 4)

8 + A = 3p - 4

A = 3p - 12.

Multiply this last equation by 8:

8A = 24p - 96

Now subtract the first equation from this:

8A - 8A =  24p - 11p - 96- (-5)

0 = 13p - 91

13p - 91 = 0

p = 91/13 = 7

and A = 3(7) - 12

= 9.

Answer:

Other root 9, p is 7

Step-by-step explanation:

1) Write the coordinates of the vertices after a translation 1 unit left and 5 units up.

R(1, 4)
S(1,4)
T(5, 4)
U(5,-4)

Answers

Answer:

0,9

0,9

4,9

4,1

Step-by-step explanation:

imagine the coordinates on a graph

Trapezoid K prime is the image of trapezoid K after a series of transformations.

On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7).

Bella and Marco described the sequence of transformations in different ways.

Bella’s Sequence
Marco’s Sequence

1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation
2. a rotation of 180 degrees about the origin
3. a translation of 1 unit down

1. a reflection of trapezoid K across the x-axis
2. a dilation by a scale factor of Three-halves with the origin as the center of dilation
3. a translation of 1 unit down

Which sequence or sequences are correct and why?
Only Bella is correct.
Only Marco is correct.
Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used.
Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Mark this and return

Answers

Answer:

Only Bella is correct

Step-by-step explanation:

I’m right

Answer:

OnLy BeLlA

Step-by-step explanation:

can someone help me ​

Answers

Step-by-step explanation:

we need to use pythagoras's theorem (reversed) in this situation. We know the hypotenuse and the lower line, so we can find the upright one. That will be the value of AD.

so we use 81 (9 squared) and 144 (12 squared)

let x be the upright line's length

144-81=x squared

63=x squared

find the square root of 63 and you can have your answer

Im not gonna do that for you because that's pretty easy

The diameter of a plant cell measures about 0.00012 m.
What is this number in scientific notation?
A
0.12 x 10-3
B 1.2 x 10-4
1.2 x 10-5
12.0 x 10-5

Answers

A: 0.12 X 10-3

Remember that you have to go to the right 3x.

I really hope this helped you, and have a blessed day.

Can a chord be a diameter?

Answers

Answer:

yes

Step-by-step explanation:

ΔABC ~ ΔEFD

Step-by-step explanation:

A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.Hope this is fine for you

Determine the equation of the line with slope 3 that passes through the point M (1,2) 1) 3x + y = 1 2) 3x - y = -1 3) 3x - y = 1 4) x- 3y = -1

Answers

Answer:

3) 3x - y = 1

Step-by-step explanation:

m=3

(y-2) / (x-1) = 3

y-2 = 3(x-1)

y = 3x - 1

What is the equation of the line

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

1/2 x + 2

Step-by-step explanation:

Which figure is shown

Answers

Answer:

pyramid

Step-by-step explanation:

plz make me brainliest

Which of the measures represent the sides of a right triangle A. B. C. D. 10, 12, 14 8, 11, 19 6, 7, 8 5, 12, 13

Answers

Answer:

A. 7

b. 14

c. 16

Step-by-step explanation:

The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip

Answers

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

7 * 0.04 = 7 * 4 *
7 times 0.04 equal 7 times 4 times ?

Answers

Answer:

Solution

1 Cancel 77 on both sides

x\times 0.04=x\times 4xx×0.04=x×4x

2 Regroup terms

0.04x=x\times 4x0.04x=x×4x

3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​

0.04x={x}^{2}\times 40.04x=x

​2

​​ ×4

4 Regroup terms

0.04x=4{x}^{2}0.04x=4x

​2

​​

5 Move all terms to one side

0.04x-4{x}^{2}=00.04x−4x

​2

​​ =0

6) Factor out the common term x

x(0.04-4x)=0

7 Solve for x

x=0,0.01

Done!

Step-by-step explanation:

What is the value of the power a if 5a = 1/125

Answers

Answer:

x = -3

There is a base f 5 on the left side, so write the denominator on the right as a base of

5 as well.

5

x

=

1

125

5

x

=

1

5

3

Move the base to the numerator.

5

x

=

5

3

If the bases are equal, the indices are equal:

x

=

3

Answer:

The answer is 1/625

Step-by-step explanation:

The reason is because 5a = 1/125

Therefore, to find the value of "a" we need to divide!

So, a = 1/125 / 5

           ⇒ 1/125 × 1/5    ( Reciprocal when we divide )                                                        

             ⇒ 1/125 × 5

             → 1/625

I hope this answer helps!

Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?

Answers

Answer:

This price was 27% less than the original price...

this means that the price Scott paid was 73% of the original price.

(0.73) * (original price) = 511

solving for original price:  original price = $ 700

Which statements are true about Aimee's and Theo's
work? Check all that apply
Aimee simplified before she multiplied.
Theo's product is correct.
Aimee divided out the factors 4 and 2 from 875 and
2012
Theo multiplied the numerators correctly but did not
multiply the denominators correctly.
Multiplying rational expressions in different ways
always results in different products.

Answers

The answer is Aimee divided out the factors 4 and 2 form 875

Answer:

a c d

Step-by-step explanation:

I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.

Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41

Answers

Hi I just saw your message yesterday I am really excited to hear ok byeee 2348 ok. Hi

A hot air balloon descends 38.5 meters in 22 seconds. If the balloon continues to descend at this rate, how long will it take to descend 125 meters?

A. 25.25 seconds
B. 86.5 seconds
C. 71.43 seconds
D. 218.75 seconds

Answers

Answer:

C. 71.43 seconds

Step-by-step explanation:

Given data

Distance= 38.5m

time= 22 seconds

speed= 38.5/22

speed= 1.75 m/s

given that distance =  125meters

t= 125/1.75

t= 71.4 seconds

You have 12 CDs and choose 4 of them to play one evening. How many
orders of CDs are possible for playing the 4 CDs?

Answers

Answer:

3 orders of CDs

Step-by-step explanation:

So if you have 12 CDs and you are choosing 4 for one evening you get 8 more CDs for 3 evening.So what i did is 12 - 4 and it is equal to 8 CDs and  You divide 4 in to 12 and it gives you 3.Your answer is 3 order of CDs because the question is asking how many order of CDs are possible for playing 4 CDs?

1/7 x 7/8 + 3/4

HELP ME EXPLAIN!

Answers

Answer:

7 over 8

Step-by-step explanation:

Answer:

fraction: 7/8

decimal: 0.875

Step-by-step explanation:

suppose you select a number at random from the sample space. Find the probability. P(the number is positive)

Answers

Answer:

Here's the picture + somewhat process? (hard to explain, please lmk if it's wrong and i'll fix it!!)

HERES THE QUESTIONS BELOW

Answers

Answer:

the first one

Step-by-step explanation:

Solve for "x." Show your work!

5x - 7 = 3

Answers

Answer:

answer x =2

Step-by-step explanation:

answer x=2

5.2-7=3

×=2

Step-by-step explanation:

5x-7=3

add 7 in both sides to cancel out the 7 in the left

5x=10

you ant x by itself so you divide 5 in both sides

5x/5 = 10/5

x=2

−n + (−3) + 3n + 5

im really confused by this question just solve it like you normally would

Answers

Answer:

2n+2

Step-by-step explanation:

what fraction of this shape is needed?

Answers

Answer:

14/30=7/15

........................

There’s no picture my man

help i hate math pls

Answers

Answer:

31.5

cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3

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