A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?

Answers

Answer 1

Answer:

Let  x  represent one of the equal length sides making the third side which is  3  inches shorter than each of the other two equal to:

Third piece  =  x − 3 . Knowing that the whole board is  10  feet, in inches it is:

10  feet  ×  12  inches / 1  foot  =  120  inches

To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:

x  +  x  +  x  −  3  =  120  + 3

3 x /3  =  123 /3

x  =  41  inches

Third piece  =  x  −  3  =  

41  −  3  

=  38  inches

Step-by-step explanation:


Related Questions

Solve for xxx in the diagram below

Answers

Answer:

x=20°

Step-by-step explanation:

x° + 100° + 3x° = 180° => 4x°+100°=180° => 4x=180°-100°=80° => x=80° : 4 = 20° => x=20°

The value of angle x will be equal to 20°.

What is a supplementary angle?

If two angles sum up to 180 degrees, they are referred to as supplementary angles. A straight angle is created by supplementary angles (180 degrees)

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the three angles are x, 3x, and 100 degrees. The value of the angle x will be calculated as below:-

For supplementary angles, the sum of the angles is 180 degrees.

x° + 100° + 3x° = 180°

4x°+100°=180°

4x=180°-100°=80°

x=80° : 4  

x=20°

Therefore, the value of angle x will be equal to 20°.

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Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?

Answers

Answer= Tucker
-115 feet into the ocean is deeper than -109 feet

Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)

Answers

answer is C
u factor out a 5 first and then factor the polynomial expression that remains

Ed solved a puzzle minute faster than Brett. Brett solved the
puzzle in 98 seconds. How many seconds did it take Ed to solve
the puzzle?
Show your work.​

Answers

Ed took 158 seconds

WORK: Add 60sec. to 98sec.

HELP WILL MARK BRAINLIEST

Answers

it’s B, you’re welcome:)

Determining the Type of Function
What type of function is represented in the table?

Answers

Answer:

quadratic

Step-by-step explanation:

Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required

Answers

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

37% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.37[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]

[tex]n = 1030.4[/tex]

Rounding up:

A sample size of 1031 is required.

The population of leave town is 1-23,560 and is decreasing at a rate of 1.5%
each
year.
a) when will the population of Leavetown drop below 47,000 Cto the nearest
year)?
b) what will the population of leavetown be years from now?

Answers

Answer: a is correct

Step-by-step explanation:

At 25 years

Step-by-step explanation:

123,000 x 2.375% = 2,921.25.  This gives you the rate that the population is decreasing.  How long will it take to get to 50,000. Do reverse operations to find this answer: 123,000 - 50,000 = 73,000,  the population need to decrease by 73,000 to get to 50,000.  So let's multiply our rate of 2,921.25 x 25 = 73,031  and our final step..  123,000 - 73,031 = 49,969 below 50,000

BRAINLIST PLEASE CAN I GET BRAINLIST

Is a triangle with the side lengths 4 feet, 7.5 feet, and 8.5 feet a right triangle? Why or why not?

Answers

Answer: Yes, it is a right triangle

Step-by-step explanation:

Use the pythagorean theorem in order to determine whether this triangle is a right triangle. Plug in the values given in the problem (4, 7.5, and 8.5) into this equation (a^2+b^2=c^2). This gives you 4^2+7.5^2=8.5^2, and this equation is valid because 4^2+7.5^2 does equal 8.5^2.

Answer:

Yes, because 4^2+7.5^2=8.5^2.

Step-by-step explanation:

Slay just did this on my test good luck

John is giving out chocolate to his friends. If he wants to give each friend 23
of a chocolate bar and he has 13 friends, how many chocolate bars will he
need to buy?

Answers

Answer:

299

Step-by-step explanation:

23x13 = 299

NEED HELP ASAP!!!! 100 points up for grabs.
An expression is shown below:

6(m + 2 + 7m)

Part A: Write two expressions that are equivalent to the given expression. (3 points)

Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)

Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)

Answers

Answer:

part a: 6m+12+42m

48m+12=0

m = -0.25

Answer:

Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

4.5

Step-by-step explanation:

[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]

[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.

Estimate: 5+81.65
HELP
PLEASE

Answers

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

HELP FAST I GIVE BRAINLIEST

Answers

Answer:

1st option (c = 15.00 + 3.50n)

Step-by-step explanation:

Answer:

A. c=15.00+3.50n

Step-by-step explanation:

We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.

22.00-18.50=3.50

A charm is $3.50.

We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.

18.50-3.50=15.00

The bracelet by itself is $15.00

Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is

A. c=15.00+3.50n

The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x

Answers

The sample mean is $641.80 thousand and the sample median is $583 thousand.

This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and  price and half the sales were more than the median price.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 +  543 + 557+  676) = 6418

total number = 10

Mean = $6418 / 10 = $641.80

= $641.80 thousand

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288

The two numbers in the middle of the set of numbers are 575 and 591

Median = (575 + 591) / 2 = $583

$583 thousand

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what is the coefficient of the third term in the following expression? 4+9s+g

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.

Francesa buys 25 songs from an online business. Each song costs $1.99. She pays a total of $52.74 for 25 songs.

Answers

Answer:

2.99

Step-by-step explanation:

if you are trying to ask what she payed for tax the anwser is above

Geometry help needed!

Answers

Answer:

AC Midpoint (2,0)-

CB Midpoint (5,-4)

midlength is 5

Step-by-step explanation:

midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]

A(2,4) C(2,-4)

[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]

(2,0)

C(2,-4) B(8,-4)

[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]

[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex]  midpoint is  (5,-4)

Distance between the 2 midpoints is the midsegment

(2,0) and (5,-4)

[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]

[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]

I need answer tho this please help me

Answers

Answer:

there is two diagram 2,3, 4 and 5 this is the answer give

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Samuel sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
81 visitors purchased no costume.
17 visitors purchased exactly one costume.
2 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no
more than one costume as a fraction in simplest form.

Answers

Answer: 49/50

Step-by-step explanation:

81 + 17 + 2 = 10

98/100 = 49/50

The probability as a fraction in simplest form is 49/50.

Select all ratios equivalent to
22:10.

11:5
110:50
33:15

Answers

Answer:

All the 3 choices are correct.

Step-by-step explanation:

11:5   11 divided by 22 is 1/2  and 5/10 is 1/2

110/50   110 divided by 22 is 5 and 50 divided by 10 is 5

33/15     33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2

All the choices are correct

Solve for x.
x+14
15x - 74
x = [?]
Enter

Answers

Answer:

###########

Step-by-step explanation:

Answer:

Solution given:

x+14=5x-74[corresponding angle]

74+14=5x-x

x=88/4

x=22

Malia and her sister walk at a constant rate of 4 miles per hour.

At this constant rate, how far can Malia and her sister walk in 1.5 hours?

Answers

Answer:

6mi per 1.5h

Step-by-step explanation:

4miles per 1h

6miles per 1.5h

4×1.5=6

If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm

Answers

5 is your length of y

If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm

ans.C.4cm

F'(x)=2x+17 f(1)=7 what is f(0)

Answers

9514 1404 393

Answer:

  f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

  [tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

The first 5 terms in a pattern are
shown below.
25 13 27
-6,-4' 2' 4-7
If the pattern continues, which
equatior. could be used to find the nth
term?

Answers

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n

Correctly identify step 3 and 4 of the accounting process:

Answers

Step 3: Prepare an unadjusted trial balance

Step 4: Prepare adjusting entries at the end of the period

Answer:

Step 3: record transactions into the journal; Step 4: post entries into the ledger

I think you are happy with this answer

What’s the correct answer????

Answers

Answer:

$39

Step-by-step explanation:

(hope you get a 100%:))

Find the distance between the two points in simplest radical form.
(-1,2) and (-7, -6)

Answers

Answer:

10

Step-by-step explanation:

pls help. I will mark BRAINLIEST ​

Answers

The Answer should be Circle , Square
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Pa-234 Th-234 U-234 U-238 Expansionary spending takes place when a government makes the decision toput a freeze on the number of its employees.raise taxes to balance its budget.raise taxes to run a budget surplus.raise spending to stimulate the economy.. 1- How did heavy casualties affect the course of the Civil War? 2-How could Lincoln free the South's enslaved people if the Constitution did not give him the power to do so?3- How did the Emancipation Proclamation change the focus of the war?4- what were the immediate consequences of the Emancipation Proclamation? Read this excerpt from "Rikki-Tikki-Tavi" by Rudyard Kipling. Rikki-tikki knew better than to waste time in staring. He jumped up in the air as high as he could go, and just under him whizzed by the head of Nagaina, Nag's wicked wife. She had crept up behind him as he was talking, to make an end of him; and he heard her savage hiss as the stroke missed. What is the best way to paraphrase this section of the story? She had crept up behind him as he was talking, to make an end of him; and he heard her savage hiss as the stroke missed. x Darzee tried to warn Rikki-tikki, but he was too late. The cobras crept up behind him and waited for him to let down his guard. Now that Rikki-tikki had defeated the cobras yet again, they were really angry. Rikki-tikki knew he was in for some trouble. Rikki-tikki leapt over the head of Nag's evil wife, who had snuck up behind him to try to kill him. The answer is the last option: "Rikki-tikki leapt over the head of Nag's evil wife, who had snuck up behind him to try to kill him".