A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?

Answers

Answer 1

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long


Related Questions

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account

Answers

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

Help plz I will give brainliest

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B 4cup of sugar and 3cups of flour =1cup of sugar and 3/4 cup of flower

if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?

Answers

2,000,000 or 2,000 something 2 hope this helps

Answer:

8,000,000

Step-by-step explanation:

This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.

Meaning? Well...

500,000 x 2 = 1,000,000 = 64yrs

1,000,000 x 2 = 2,000,000 = 128yrs

2,000,000 x 2 = 4,000,000 = 192yrs

4,000,000 x 2 = 8,000,000 = 256yrs

This is 4 times.

so every time it's doubled, it means the sum of that number times 2.

find the interest and final payment. interest rate: 12%. previous balance: $4,800

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Answer:

Equivalent representations of percent problems

Step-by-step explanation:

........................................................................................
Solve
........................................................................................

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Answer:

10 - 15%

Step-by-step explanation:

Just guessing

perimeter 254 meters and dimension measures 6 meters​

Answers

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

what is the median of 11, 10, 8, 7, 7, 7, 5, 4, 3, 3, 3,

Answers

The correct answer is the median is 7
7 is the median mark

An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know


PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP

Answers

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

please help i am giving away brainliest

A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

Answers

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys

Answers

Answer:

We need a picture of the screen plz

Step-by-step explanation:

Which operation would help solve for t?
T-13=35

Answers

Answer:

t = 48

Step-by-step explanation:

Can someone help please ASAP

Answers

Answer:

U need to draw a triangle

Step-by-step explanation:

A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?

Answers

Year 1: $1300x0.04= $52 + $1300 = $1352
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps

Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?

LOOK AT PICTURE

Answers

The (-3,4) because it isn’t following the line it’s in between he two lines and the other answers are on the line.
I’m not sure but good luck you got this

a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?

what’s the answer in miles?

PLEASE HELP ME OMG!!!

Answers

Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

Answer:

450 miles

Step-by-step explanation:

By 20 gallons,the car travels 300 miles

by 1 gallon, car travels 300÷ 20 miles

By 30 Gallons, car travels: (300÷20 )×30

450miles

please help solving x​

Answers

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

In 2003 the population of Mayberry was 324 people. After a new factory opened and attracted new families to the area, the population grew to 450 people. What is the percent of increase in population in Mayberry?

Answers

Answer:

about 61 percent

Step-by-step explanation:

please help asap ! no scam links or scam comments for points or reported.

Answers

Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing

You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400

Answers

If 86,000 is annual gross income then,

$86,000. 100%
$x. 25%
x=86000•25/100
x=21,500$
Answer is A

Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Answers

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

The experimental probability that Jason will roll a 2 is 3/14.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?

Answers

:

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

Answer:

66.7%

Step-by-step explanation:

the value increased by 26

percentage increase =increase /initial value ×100

=26/39×100=66.7%

Complete the equation using an area model 6 3/4 x 3 2/5=

Answers

Answer:

22.95

Step-by-step explanation:

If 43x-2=4 x+1, then x

Answers

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume

Answers

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6

Answers

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

14.53 less then or greater then 16.3

Answers

Answer:

14.53 is less than 16.3

Step-by-step explanation:

help me please and answer correctly people answer wrong on purpose ​

Answers

Sorry for not answering your question but please I am telling you guys don’t fall for someone when they send you links here like this first person above me he send a link don’t press it y’all don’t this is really bad it makes your phone really bad

Please help with math and explain if u do i’ll give brainly!!

Answers

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

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