A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?

Answers

Answer 1

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in


Related Questions

What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............

Answers

Answer:

one more would be 56

one less would be 54

ten more would 65

ten less would be 45

Step-by-step explanation:

add one more to 55 to get 56

subtract one from 55 to get 54

add ten more to 55 to get 65

subtract ten from 55 to get 45

Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62

Answers

Answer:

-2125762

Step-by-step explanation:

Mark all the statements that are true.

Answers

I Cannot see any statements

I don't know what to put in theboxes.

Answers

Top left: 3
Top right: 6
Bottom left: 1
Bottom right: 2
Hope this helps!

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

If a case of chips has 27 bags in it. How many cases would they need for 410 bags of chips?

Equation:

Answers

Answer:

they would need 15 cases for 410 bag of chips

Step-by-step explanation:

410/7= about 15

Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs. What percentage of time was spent sprinting? please explain how you get the answer, I want to understand on my own and math is a struggle for me.

Answers

In total Lt. Bartlett spent 4.5 hours exercising. He spent a total of 1 hour sprinting so you would divide 1 by 4.5 to get .222 repeated hours which could be rounded to .22 I hope this helps, I’m not the best at explaining things.

If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

What is Percentage?

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given that;

Time spent on push ups = 2 hoursTime spent on sprints = 1 hoursTime spent on benching = 1.5 hoursPercentage of time spent sprinting P = ?

First we determine the total time.

T = tPUSHUPS + tSPRINT + t BENCHING

T = 2hrs + 1hr + 1.5hrs

T = 4.5hrs

Now, percentage of time spent sprinting P will be;

Percentage = ( Part / Whole ) × 100%

Percentage = ( tSPRINT / Total time ) × 100%

P = ( 1hr / 4.5hr ) × 100%

P = ( 0.2222 ) × 100%

P = 22.2%

Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

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Solve |2x + 6|<16

A {x|-11 B {x<-11 or x>5}
C {x|-5

Answers

It’s the last one. .

Help asap please, dhebduhd

Answers

Hi there !

The answer is B. angle 4.

An alternate interior angle is diagonally across one angle on the inside of the transversal. Opposite of 5 on the inside is angle 4.

Hope this helps !

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

Find the volume of the figure below. Round to the nearest tenth.

Answers

Answer:

The volume of the figure given is:

3057,57 cm^3

Step-by-step explanation:

To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.

Volume of the cylinder.

The formula to find the volume of a cylinder is:

Volume of a cylinder = PI * r^2 * h

Where:

PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).

r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)

h = height (in this case is 7 cm too, you can find these values in the figure given)

Now we must replace the values:

Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.

Volume of the rectangular prism.

The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:

Volume of a rectangular prism = width * length * height.

When we replace the values given in the figure:

Volume of a rectangular prism = 11 cm * 20 cm * 9 cm  Volume of a rectangular prism = 1980 cm^3

At the last, we add the two volumes found:

Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3

please help, will give brainliest

Answers

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.

∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answers

[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]

Answer:

m∠ A=78°

m∠ B=12°

Step-by-step explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°

Katie sewed costumes for the high school's annual play. She spent the following number of hours on each dress. What is the mean number of hours spent on each dress? 5 1/4 4 1/2 3 3/4 4

Answers

About 2.91 hours rounded

Answer:

round down to 2.9 if to 1dp

Step-by-step explanation:

What is the value of x? Enter your answer in the box.

Answers

Explanation

The sum of the three angles of a triangle has to be equal to 180 degrees.

So...
180-(75+50)
180-125
=55 degrees

X equals 55 degrees

how much is a mass in kilograms ?

Answers

Answer:

1,000 grams, we have 1 kilogram

Step-by-step explanation:

Step-by-step explanation:

1000 grams in 1 kilograms

A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.

Answers

Answer:

Rational expression

Step-by-step explanation:

A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x

A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.

Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.

Thus, the blanked statement is the definition of the rational function

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The function f(x) is shown in this graph please help because I can’t understand this concept

Answers

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Simplify. x+5/x^2+6x+5

1/x+1; where x ≠ -1
1/x+1; where x ≠ -1,-5
1/x-5; where x ≠ 5
X-5

Answers

Answer:

7x3 + 5x2 + 5

x2

= 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum =6

Product =5

Factors = 5 , 1

x² + 6x + 5 = x² + x + 5x + 5*1

                  = x(x + 1) + 5(x+1)

                 = (x+1) (x +5)

[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]

Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?

Answers

The largest number of glasses she can have is 8 full glasses. Since 1.75 liters in milliliters is 1750 and dividing that by 200 is 8.75 cups.

Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Isabella buys a 1.75-liter carton of apple juice.

To convert it to milliliter multiply it by 1000

1.75 liter in ml = 1.75×1000 = 1750 ml

Let's suppose the number of glasses she can have is x, so the value of x:

x = 1750/200 = 8.75 glasses.

Thus, Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.

Learn more about the fraction here:

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Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?

A. You can use a relative frequency table to examine how data sets are related by comparing percentages.

B. Row and column relative frequency tables tell you the same information as total relative frequency tables.

C. A column relative frequency table helps compare data in two different rows.

D. In a column two-way relative frequency table, each column totals 100%.

Answers

Step-by-step explanation:

D. In a column two-way relative frequency table, each column totals 100%.

Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)

Answers

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)

What is half the sum of a number and sum

Answers

Answer:

1/2(n+5)

Step-by-step explanation:

You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?

Answers

Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.

Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?

A. Horses on the outside edge are the fastest.

B. Carl's horse travels 90 feet in one turn.

C. Horses near the center are the slowest.

D. Allison's horse travels 60 feet in one turn.

Answers

Answer:

5 feet.

Step-by-step explanation:

We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.

To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.

Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)

Answers

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds


Question:

Consider the rectangle shown here.

A. State its area in square inches.

B. State its area in square feet, to the nearest tenth.

C. In general, A square inches equals how many square feet?

Answers

Answer:

A. Area in square inches =  1760 square inches

B. Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Step-by-step explanation:

Given,

Length of the rectangle (l) = 55 inches

Breath of the rectangle (b) = 32 inches

A. Area of the rectangle = length × breath

⇒ 55 × 32

⇒ 1760 square inches

Area in square inches =  1760 square inches

B. 1 foot = 12 inches

1 inch = [tex]\frac{1}{12}[/tex] feet

1 square inch = [tex]\frac{1}{144}[/tex] feet

∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet

⇒ 12.2222 square feet

Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?

Answers

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Which is the pair of congruent

Answers

Answer:

CBA = DEA

Step-by-step explanation:

Theyre the only right angles listed.

Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3

Answers

Answer:

x= 1.27, y= 11.4 (to 3s.f.)

Step-by-step explanation:

5x -y= -5 -----(1)

3x -5y= -3 -----(2)

From (1):

-y= -5x -5

divide by -1 throughout:

y= 5x +5 -----(3)

Subst. (3) into (2):

3x -5(5x +5)= -3

3x -25x +25= -3 (expand)

-22x= -3 -25

-22x= -28

divide by -22 throughout:

x= 1.2727 (5 s.f.)

x= 1.27 (3 s.f.)

subst. into (3):

y= 5(1.2727) +5

y= 11.4 (3 s.f.)

What is the height of this isosceles triangle?

Answers

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )

sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?

Answers

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

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