A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

Answer 1

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.


Related Questions

Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip

Answers

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?​

Answers

355 but i could be wrong

Is the product of 0.4 * 1.8 greater then or less then 0.4


Answers

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored

Answers

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)

Answers

This is the answer -32+15
I’m understanding my the question as Sandra has $32 in her purse then spends $15 on a CD. This would mean the answer is 32 + (-15).

∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.

Answers

Answer:

it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer

Step-by-step explanation:

The value of x for the given vertical angles is given as 25.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The pair of vertical angles are given as below,

∠A = (7x - 8)°  and ∠B = (6x + 17)°.

Since, pair of vertically opposite angles are equal.

It implies that ∠A = ∠B.

⇒ 7x - 8 = 6x + 17

⇒ 7x - 6x = 17 + 8

⇒ x = 25

Hence, the value of x can be obtained as 25.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Help guys, please I needed this answer PLEASE!!!

Answers

The picture is very small and blurry

Rewrite 8^-12 isIng a positive exponent

Answers

Answer:

8^12??

Step-by-step explanation:

what is islng

Answer:

1/[tex]8^{12}[/tex]

Step-by-step explanation:

Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]

1/[tex]8^{12}[/tex]

Solution

1/[tex]8^{12}[/tex]

Alternate form

≈ 1.45519 x [tex]10^{-11}[/tex]

What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
The percent decrease is 87%.

Answers

Answer:

according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%

Step-by-step explanation:

the percent decrease is 87%

.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges

Answers

Answer:

The answer is below

Step-by-step explanation:

Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of  270 pounds per tree, therefore:

Y(x) = 270    for x ≤ 30

If it is more than 30 trees the yield decreases by 3 pounds, hence:

Y(x) = 270 - 3(x - 30) = 360 - 3x   for x > 30

The total yield T is given as T(x) = x × Y

T(x) = x × 270 = 270x   for x ≤ 30

T(x) =  x(360 - 3x) = 360x - 3x²   for x > 30

The maximum yield is at T'(x) = 0

T'(x) = 360 - 6x

360 - 6x = 0

6x = 360

x = 360/6

x = 60

T(6) = 360(60) - 3(60²) = 10800 pounds

In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?

Answers

Answer:

125.6 cm²

Step-by-step explanation:

Area of the shaded region = area of larger circle - area of the smaller circle

Area of the smaller circle = πr²

π = 3.14, r = 3 cm

Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²

Area of larger circle = πr²

π = 3.14, r = 7

Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²

Area of the shaded region = 153.86 - 28.26 = 125.6 cm²

I need help with this question.

Answers

Answer:

Angle RQT and Angle RQO

Step-by-step explanation:

These angles share the common vertex of Q and the common side of RQ

Answer:

The first option.

Step-by-step explanation:

The way I always remember adjacent angles is they are kinda beside each other.

6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§​

Answers

Answer:

x = 8/3

Step-by-step explanation:

6x-4=3x+4

Subtract 3x from each side

6x-3x-4=3x-3x+4

3x-4 =4

Add 4 to each side

3x-4+4 = 4+4

3x =8

Divide each side by 3

3x/3 = 8/3

x = 8/3

Answer:

hi

Step-by-step explanation:

exact form: 8/3

decimal form:

2.6 repeating sign over six

mixed number form: 2 2/3

You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?

Answers

Answer:

Selling price= $13

Step-by-step explanation:

Giving the following information:

The cost of your product is $10, and you are planning a 30% mark-up.

The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.

Selling price= 10*1.3

Selling price= $13

Based on the cost of the product and the mark-up, the price of the product will be $13.

Price of product

This can be fund using the formula:

= Cost of product x ( 1 + markup percentage)

Solving gives:

= 10 x ( 1 + 30%)

= 10 x 1.3

= $13

In conclusion, the product would be $13.

Find out more on cost based pricing at https://brainly.com/question/4144684.

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4

Answers

y=2x+-4
i apologize if this is wrong it can be written in different ways i’m just doing slope intercept

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?


The rate of return that the university must realize in order to award the annual scholarship forever is _____%.

Answers

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?

Answers

Answer:

i need help too

Step-by-step explanation:

...

The sum of four consecutive integers is 2486. Find the biggest of these four consecutive integers.

Answers

Answer:

623

Step-by-step explanation:

2486/4 is the middle number = 621.5

Four numbers so the nearest whole numbers are the middle two

620, 621, 622, 623

=623

Find the slope plus extra pts

Answers

Answer:

The Slope is -4

m = -4

Step-by-step explanation:

Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))

Which ordered pairs make the inequality true?

x+3y<9

Select each correct answer.

(5,1)

(1,3)

(−2,3)

(−1,4)

Answers

Answer:

The ordered pairs (-2,3) and (5,1) make the inequality true.

Step-by-step explanation:

Can somebody help me with this pleaseee I need help

Answers

Answer:

3.225

Step-by-step explanation:

15%= 15/100

therefore 15% tip of 21.50

15/100×21.50 = 3.225

which function has the same domain as y=2_/x?​

Answers

Answer:

A. y = square root of 2x

We are given the function

y = 2 √x

We are asked for the function that has the same domain as the given function

First, the domain for the given function is this

{ x | x ≥ 0 }

So, any function that has a domain of x that is equal to or greater than 0. Some examples:

f(x) = √x  -  2

f(x) = 5 √x

Hey guys I need help. Care to be kind? :(

Answers

9514 1404 393

Answer:

  $77.94

Step-by-step explanation:

The (signed) sum of charges and credits results in the total due:

  $82.04 -4.10 = $77.94 . . . amount due

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.

Answers

Answer: A) 7,200

Step-by-step explanation:

Answer:7200

Step-by-step explanation:

2+2=7200

The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%

Answers

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________

Answers

Answer: $15,660 & 32 v.c

Step-by-step explanation:

Algebra II

Find the product (multiply).

answer:​

Answers

Answer:

3 m^3 - 26 m^2 + 45 m - 70

Step-by-step explanation:

Applying distributive property we get:

3 m^3 - 5 m^2 + 10 m - 21 m^2 + 35m - 70

combining like terms:

3 m^3 - 26 m^2 + 45 m - 70

Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.

Answers

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

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