A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.

Answers

Answer 1

Answer:

The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Step-by-step explanation:

x represents the length of the first​ piece.

Hence, the second piece has a length of 2x and the third piece has a length of 3x.

Hence, x + 2x + 3x = 42 inches.

x + 2x + 3x = 42 inches

6x = 42 inches

x = 7 inches

Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.

Hope this helped!


Related Questions

Write the expression using exponents.

Answers

Answer:

6v^5

Step-by-step explanation:

you would leave the 6 alone. since there is 5 of the same variable, you would put 5 as your exponent

Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From which store should you buy your
watch and why? Help please!!

Answers

Answer:

You should buy the watch from Store A because it's cheaper

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

what is the solution to 13 x is greater than -5 ​

Answers

Answer:

x> -5/13

Step-by-step explanation

13x > -5
x > -5/13
x > -0.38

Which situation can be represented by the expression -2+(-1)

Choose 1 Answer:

Answers

definitely (A). he was already under 2 and then went down an additional 1.

Answer:

A

Step-by-step explanation:

I checked on khan

choose all of the points that are solutions to y = 3x + 2 / 2x - 1.
A.(-2, 4/5)
B.(-1, -5)
C.(0, -2)
D.(0, -2/3)
E.(1, 3/2)
F.(1, 5)
G.(4, 14)

Answers

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

You are at a European beach with 60 other visitors. 36 of them speak English. If you randomly meet two people on the beach, what is the probability that they both speak English

Answers

Answer:

Assuming I'm one of the 36 English speakers and the other 24 speak Spanish for illustration purposes.  The problem can be modeled as 59 marbles with 35 E and 24 S marbles as N = 59 possible outcomes = n(E) + n(S) = 35 + 24.

So I reach into the pile of marbles (on the beach) and the probability that it's p(E) = n(E)/N = 35/59 = 0.593220339 when I meet the one person. ANS

I assume I remember that first person; so I remove him from the marbles (by avoiding him on the beach) and now my probability is p(E and E) = n(E)/N * n(E)-1/(N - 1) = 35/59*34/58 = 0.347749854 ANS

Following the same logic p(E and E and E) = 35/59*34/58*33/57 = 0.201328863 ANS

This last one is different from the first three.  This one is p(E >= 1|4 attempts).  We can trace out a probability tree to identify those branches that contain at least one E event.  So:

EEEE p() = 35/59 * 34/58 * 33/57 * 32/56 =  

EEES p() = 35/59 * 34/58 * 33/57 * 24/56 =

EESE p() = 35/59 * 34/58 * 24/57 * 33/56 =

ESEE p() = 35/59 * 24/58 * 34/57 * 33/56 =

SEEE p() = 24/59 * 35/58 * 34/57 * 33/56 =

EESS p() = 35/59 * 34/58 * 24/57 * 23/56 =

ESES p() = 35/59 * 24/58 * 34/57 * 23/56 =

SEES

SESE

SSEE

ESSS  And so on, but...a big BUT...why do all this when

SESS

SSES

SSSE

SSSS

p(E>=1|4) = 1 - p(S and S and S and S) = 1 - 24/59 * 23/58 * 22/57 * 21/56 = 0.976652619   ANS.  In other words we find the probability of not meeting an Englishman and take 1 minus that value to find the probability of meeting at least one.

00

Step-by-step explanation:

4÷5/9
pleeeease helpppp

Answers

Answer:

36/5 or 7 1/5

Step-by-step explanation:

4 divided by 5/9

4 x 9/5.        change the divide to multiply & the fraction to the reciprocal

=36/5 or 7 1/5

If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest

Answers

Answer:

the peel

Step-by-step explanation:

Clara has a purse in the shape of a trapezoid.The top of the purse measures 22 cm while the bottom of the purse measures 36 cm. If the area of the purse is 754 cm, what is the height?

Answers

Step-by-step explanation:

this is you're answer 38

Round each mixed number to the nearest whole number and then estimate the sum.
12 11/14+ 2 5/7

Answers

Answer:

Answer is 10.86

Step-by-step explanation:

12x11/14 + 10/7

=132/14 + 20/14

=152/14

=10.86


Jeremy can row 3/8 of a mile in 1/4 of an hour.
What is the unit rate that describes the miles
per hour?

Answers

Answer:

3/2 mph

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] = [tex]\frac{r}{4}[/tex]

cross-multiply: 8r = 12

r = 12/8 or 1.5 mph

Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Question 5 options:

A)

y = 1∕4(x – 3)2 + 2


B)

y = –1∕4 (x – 3)2 + 3


C)

y = –1∕4 (x – 3)2 + 2


D)

y = 1∕4(x – 3)2 + 3

Answers

Answer:

c )  y = –1∕4 (x – 3)2 + 2

Step-by-step explanation:

Answer:

directrix is; y= {-5}

Step-by-step explanation:

There are 64 species of animals in the metropolitan zoo
5/8 are from North America
1/4 are from Africa
The remaining are from South America
How many species are from South America

Answers

Answer:

8 species are from South America

Step-by-step explanation:

In order to find the answer to this, you need to make the denominators of the North American and African species the same.

To do this, multiply 1/4 x 2/2.

You would then get 2/8. This means 2/8 of the species are African

Since you now have the same denominator, add the fractions together, and the total amount of North American and African species is 7/8, leaving 1/8 for the South American species.

You would then divide 64 by 8 to see how much 1/8 is worth in terms of how many species, and would then get 8.

12. Find the values of x and y in the diagram below.

Answers

Answer:

x = 15

y = 19

The value of the x and y are; 11/6, -5 and  18/4 in the linear equation.

What is linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given parameters;

The equations are;

(4y - 18)

(6x - 11)

(x + 5)​

Now put all equation equal to zero.

Then;

4y - 18 = 0

y = 18/4

And then;

6x - 11 = 0

x = 11/6

And

x + 5 = 0

x = -5.

Hence, In the linear equation, value of the x and y are 11/6, -5 and  18/4.

Learn more about linear equation here;

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Simplify: √(√21 -2√7)^2
WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!!

Answers

Answer:

Solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex]

We know that [tex]\sqrt{x} = x^{\frac{1}{2}}[/tex]

Solving:

[tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}\\=((\sqrt{21}-2\sqrt{7} )^2)^\frac{1}{2}[/tex]

We know that [tex](a^2)^\frac{1}{2}=a[/tex]

= [tex]\sqrt{21}-2\sqrt{7}[/tex]

So, solving the expression: [tex]\sqrt{(\sqrt{21}-2\sqrt{7} )^2}[/tex] we get [tex]\sqrt{21}-2\sqrt{7}[/tex]

Mai runs around a track at a constant speed of 750 meters in 30 minutes . How many minutes per meter is that? And how many meters can she run in 6 minutes?

Answers

Answer:

25 meters per minute

150 in 6 minutes

Step-by-step explanation:

Find the area of the surface generated by revolving the curve about each given axis.

x = 2t, y = 6t, 0 ≤ t ≤ 9

Answers

I’m not sure I’d this is suppose to be a joke but if it’s not then tell me in the comments

Help me out here pleaseeeeeeeee

Answers

Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

The last one 1 1/5 is the answer ;)

Evaluate this expression for a=2 and b=3. (a+5)-b/b-4+2(b+3)/a

Answers

Answer:

16

Step-by-step explanation:

[tex](a+5)-\frac{b}{b-4}+\frac{2(b+3)}{a}\\\\a=2\\\\b=3\\\\(2+5)-\frac{3}{3-4}+\frac{2(3+3)}{2}\\\\=7-\frac{3}{-1}+3+3\\\\=7+3+6\\\\=16[/tex]

Y-5=1/3


Helpppp!!!!!!

Answers

Answer:

8

Step-by-step explanation:

claudia earns overtime pay when she works more then 40 hours in a week how many hours of overtime pay did she work for the week of march 4​

Answers

Ummmmmm is that all the information that you have about it

I'M GIVING OUT BRAINEST!!!
Line m has a slope of -5. What is the slope of a line parallel to line m?

Answers

Answer: -5

Step-by-step explanation:

parallel lines have equal/same slope

hOw dO I rUn??????????????????????????????????????????????

Answers

how do you run???????

It's like walking but faster, so you go faster like sonic lol.

The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 20 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 20 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on his friend's course) is 8.9 and the standard deviation of the differences are 11.986. Calculate a 99% confidence interval to estimate the average difference in scores between the two courses.

Answers

Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 13
The next three terms, in order, are, and

Answers

Answer:

So the first term is two so you start on the second term. 15,28,41

An arithmetic sequence having first term 2 and a common difference of 13 then the next terms are 15, 28 and 41.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, An arithmetic sequence having first term 2 and a common difference of 13.

Therefore the next terms are (2+13), (2 + 2×13), (2 + 3×13).

= 15, 28, and 41.

learn more about arithmetic sequence here :

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A gym owner has some red weights and some purple weights. The red weights are 8 kilograms each, and the purple weights are 3 kilograms each. The owner has 10 weights, and they weigh 55 kilograms in all. How many of each color weight does he have?

Answers

Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

5x+2=7x-4 what is x and if you can how you did it

Answers

Answer:

x=3

Step-by-step explanation:

2 = 7x−4−5x

2 = 2x−4

2+4 = 2x

6 = 2x

​[tex]\frac{6}{2}[/tex] = x

3 = x

x = 3



I think the answer is X = 3


(15×4)÷6[{32÷4(7×2-15+5)}+4​

Answers

The correct answer is (6)
140x(6) - 190x(4) is the answer
The brackets are powers.

NEED HELP WITH LAST QUESTION 2). IM IN ZOOM PLEASE HELP <3 WILL GIFT 421 POINTS

Answers

Answer:

Equation: x° + x° + (x + 10)° + 59° = 360°

Solution: x = 97

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore:

x° + x° + (x + 10)° + 59° = 360°

Solve for x

x + x + x + 10 + 59 = 360

Add like terms

3x + 69 = 360

Subtract 69 from each side

3x = 360 - 69

3x = 291

Divide both sides by 3

x = 97

Solve the formula Ax+By = C for A.
O A A+
+ By
O B. A=C-BY
x
O C. A = C+By
O D. A = C-BY
X

Answers

Answer:

[tex]A = \frac{C - By}{x}[/tex]

Step-by-step explanation:

Given

[tex]Ax + By = C[/tex]

Required

Solve for A

The question implies that we make A the subject of the formula.

Start by subtracting By from both sides of the equation by x

[tex]Ax + By - By= C - By[/tex]

[tex]Ax = C - By[/tex]

Divide both sides by x

[tex]\frac{Ax}{x} = \frac{C - By}{x}[/tex]

[tex]A = \frac{C - By}{x}[/tex]

Solved

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