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

What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?

Answers

Answer: 50:50

Step-by-step explanation:

CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:

7x + 2y = 13

x - 2y = 11

Group of answer choices

(3 . -4)

(3 , 4)

(4 , 3)

(-4 , -3)

Answers

ExplanationEliminate y-term by adding both equations.

[tex](7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]

Substitute x = 3 in any given equations.

[tex]x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y[/tex]

Answer Check

Substitute x = 3 and y = - 4 in both equations.

[tex]7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13[/tex]

[tex]x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11[/tex]

Both equations are true for x = 3 and y = 4.

Answer

[tex] \large \boxed {(3, - 4)}[/tex]

Feel free to ask if you have any questions related to the answer or the explanation.

Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math

Answers

The domain is the set of all x-coordinates and

the range is the set of all y-coordinates.

So the domain for this relation is {0, 1, 2, 3, 4}

and the range is {0, -1, -4, -9, -16}.

Now, I graph these points below.

For the relation tobe a function, it must pass the vertical line test.

If we can draw a vertical line that passes through only one point

anywhere on the graph, the relation is a function.

Notice that if you were to draw a vertical line,

no line would intersect two points on the same line.

The supply and demand for vintage vinyl records are shown. Where is the equilibrium point.

Answers

Answer:

The point where the demand curve and the supply curve meets

Step-by-step explanation:

The equilibrium point is the point at which the quantity of vintage vinyl supplied and the quantity demanded is equal at a particular price.

From the graph, the equilibrium point is the point at which the demand curve and the supply curve intersects.

So, the equilibrium point if vintage vinyl is at the point somewhere between the price of 20 and 30, and the point where the quantity is somewhere between 50 and 100.

Answer:

at the intersection of the 2 lines at that dot that is on both lines

Step-by-step explanation:

A carnival has a ring-toss game where players try to toss rings around a stick. A player gets two attempts in a game. Let X represent the number of rings a randomly chosen customer successfully tosses around the stick in a game. Based on previous data, here's the probability distribution of X along with summary statistics:
X=\text{\# of successes}X=# of successesX, equals, start text, \#, space, o, f, space, s, u, c, c, e, s, s, e, s, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.900.900, point, 90 0.080.080, point, 08 0.020.020, point, 02 Mean: \mu_X=0.12μ X ​ =0.12mu, start subscript, X, end subscript, equals, 0, point, 12 Standard deviation: \sigma_X\approx0.38σ X ​ ≈0.38sigma, start subscript, X, end subscript, approximately equals, 0, point, 38
A player wins 10 tickets for each successful toss. Let T represent the number of tickets a randomly chosen players wins in a game. What are the mean and standard deviation of T?

Answers

Answer:

2

Step-by-step explanation:

i think

Answer:

1.2

3.8

Step-by-step explanation:

khan

A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?

Question 5 options:

33%


133%


75%


175%

Answers

Answer:

60-45= 15

15/45= 0.33

0.33 X 100 = 33%

I will give brainiest to whoever answers correctly !!

Answers

Answer: the mark up price of the fish dinner is around 36.36%

Explanation: 18.75 - 13.75/13.75=5
5 divided by 13.75= 0.36363636.

Hope this helps!

Help me please and thank you

Answers

The slope is 3 y-intercept is 7 and the equation would be y=3x+7
Slope-3
Y-intercept- 7

y=3x+7

what is t?
5t - 11 = 99

Answers

Answer:

22

Step-by-step explanation:

5t=99+11

5t=110

divide both side by 5 to find the value of t

Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?​

Answers

Answer:

B

Step-by-step explanation:

I think

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer:

n>3

Step-by-step explanation:

the first one is 3 hopefully i am right

The sum of a number and three is doubled the result and six less than the number find the number

Answers

Answer:

2(x+2)= 3x-6

2x+4= 3x-6

x=10

Step-by-step explanation:

The awnser would be x=10

Give four reasons why you think mathematics should be taught in primary schools

Answers

Answer:

i) Because so that we can understand them steps by step

ii)We could enjoy when we study in school

Answer:

because it helps the kid to make

1. base at mathematic

2.helps to change thinking way that math is hard

3. makes future bright like elon- musk

4. it helps to make stable in basic math calculation

A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in the group that has nine boys? A) 9b to 6g (B 9b to 12g (C 9b to 3g

Answers

Answer:

A. 9boys to 6girls

Step-by-step explanation:

If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.

3:2

9:?

Divide 9/3=3

So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys

2*3=6

6 girls when there are 9 boys

Why is the accounting cycle important?

Answers

because without it the economy would fail :)
The accounting cycle ensures that all accounts are updated and maintained.
This is important since the accounts receivable representatives will get the company's owed funding to keep the finances balanced.

One season, the Cougars won 20 games. They played a total of 25 games.
Use the equation 20 + g = 25 to find g, the number of games the team lost.

Answers

Answer:

The team lost 5 games

Step-by-step explanation:

Hope i helped

An hourly worker whose wage is $15 per hour will be paid how much for an eight-hour shift?

Answers

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.


An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.


Learn more about arithmetic here:
brainly.com/question/14753192


#SPJ2

A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?

Answers

Answer:

Step-by-step explanation:

From the given information:

For X to be valid, the possible values of X should be greater than zero i.e. X > 0

If X obeys a lognormal distribution

Then; Y = In X

So,

Now,

[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]

[tex]E(X) = 1.8913[/tex]

Also;

[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]

V(X) = 2.7387

SD(X) = 1.6549

[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]

= 0.108

What is the result when the number 52 is decreased by 50%?​

Answers

Answer: You get 26, If this wasn't what you were looking for let me know! :)

Step-by-step explanation:

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Zane has 30 cupcakes and wants to give six each to a number of his friends.How many friends can he do this for ? ​

Answers

5 friends this one was pretty easy
The answer is 5 because if you do the math 30 divided by 6 it equals 5

HELP PLEASE


-9x + 3 > 39 OR - 5x + 6 < 16

Answers

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

Jenny's kite has gotten stuck at the top of a tree. If the kite's string is 40 feet long and Jenny is 24 feet away from the tree, about how much taller is the tree than Jenny? (Round to the nearest foot.)

Answers

Um, 16 I guess, I'm not sure

what is the sum of the sequence 4 + 9 + 14 + 19 + 504​

Answers

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

If u have read the book Ungifted by Gordon Korman then hopefully u can answer this question: Consider the two schools in the book; the Academy for Scholastic
Distinction and Hardcastle Middle School. In what ways are they
similar or different? Consider the physical space, school cultures,
lunchroom offerings, and students.

Answers

Answer:

similar

Step-by-step explanation:

Help will give brainly and thanks
I have 5 mins

Answers

Answer:

no

Step-by-step explanation:

The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?

Answers

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

Please Help!



B belongs to AC D belongs to lineAF

Answers

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Simplify:-8у – (х- 4x) +3y

Answers

Answer:

=3x−5y

Step-by-step explanation:

Answer: =3x−5y

Step-by-step explanation:

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