The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?​

Answers

Answer 1

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

                       = 10x*2x - 10x*1 + 5*2x  - 1*5

                       = 20x² - 10x + 10x - 5 = 20x²  - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

                               =20x²*(x +3) - 5*(x +3)

                               = 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x  -3 ) is a factor

Synthetic method:

3     ( 20    60       -5           -1065

      (          60        360        1065

         20   120        355           0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft


Related Questions

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer:

35/72

Step-by-step explanation:

Factor the trinomial
10x^2+11X-6

Answers

Answer:

Not factorable with rationable numbers

Step-by-step explanation:

You cannot factor this expression with rationable numbers.

(5x-2)(2x+3) is the correct answer:)

i) Factorise x^2 - x - 20

Answers

[tex](x + 4)(x - 5)[/tex]

hope it helps

#carryonlearning

see the attachment for the explanation

hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb

Answers

Answer:

the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre

Step-by-step explanation:

you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.

8x^2x WHATS THE STANDARD FORM WHATS THE COEFFICIENT QUICKLY PLSS

Answers

8x3 answer correct good.

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?

Answers

40 miles per week

Step-by-step explanation:

380-220 = 160÷4 = 40

You can travel 320 miles in one week for $320 miles.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.

If the amount is $380.

Then, 380 - 220 = 160

And 160 divided by 0.5,

= 160/0.5

= 320 miles.

Therefore, the required distance is 320 miles.

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#SPJ2

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!

a.2x
b.2x+2
c.x^2
d.2x^2

Answers

Answer:

B 2x+2 I don't know whether is correct or not

which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!

Answers

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

Mamadou is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 27 ∘ ∘ . If the string from the kite to his hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

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6. The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor Is tenth in line. What number should Victor say? (lesson 5.6)​

Answers

Answer:

  D.  21

Step-by-step explanation:

The first terms are ...

  5, 9, 8, 12, ...

Each even-numbered term is 3 more than the previous even-numbered term. Then the even-numbered terms are ...

   n = 2, 4, 6, 8, 10

  an = 9, 12, 15, 18, 21

Victor should say "21."

Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator

Answers

4sqaure root 97/ 97

Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34

Answers

Answer:

The slope is 8

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2

Answers

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

is the equation y=3x^3+5 a linear or nonlinear?

Answers

Answer:

It is not linear. It is cubic since the highest exponent is 3.

does anyone else do i-ready? my little sister thinks we are the only school that does it. She's in pinecrest academy.

i think other students do it too, just saying

Answers

Answer:

When I was in my school I use to before the virus we use to do I-Ready all the time so I can promise y'all ain't the only ones

Which of the following could be the measure of the angle below

Answers

Answer:

-180

Step-by-step explanation:

its a straight line

what are equivalent ratios for 5:4here are the options: 5:4 10:4 15:12 10:8 5:8 4:5

Answers

15:12 is the equivalent ratio of 5:4

Evaluate -1(-2)(-4)(-2)

Answers

Answer:

16

Step-by-step explanation:

Negative times negative = positive

-1(-2) = 2

2(-4) = -8

-8(-2) = 16

Please consider giving this answer brainliest if it helped you. Thanks!

Answer:

─16

Step-by-step explanation:

1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16

Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.

Answers

Answer:

length:   5x + 2

width:   x - 2

Step-by-step explanation:

Factors of 5

1, 5

Factors of 4

1, 4

2, 2

Sign

one positive, one negative

Factor 5x^2 - 8x - 4

(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4

(5x + 2)(x - 2) = 5x^2 - 8x - 4

Therefor

length:   5x + 2

width:   x - 2

How many times larger is 8 X 10^5 than 2 X 10^3

Answers

Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

=8×100,000

=800,000

2×10^3

=2×1,000

=2,000

Difference=800,000-2,000

=798,000

Which equation represent this statement?

5 less than twice a number is 3

2n - 5 = 3

2n - 3 = 5

5 - 2n = 3

3 - 2n = 5

Answers

2n - 5 = 3
Twice a number is 2 * n
5 less is subtracting 5
Making the statement 2n - 5 = 3

Answer: It was 2n-5=3 The other guy was right

Step-by-step explanation: I took the K12 test.

find x if 2^x=8^3x-8

Answers

Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.

Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points

If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one

Answers

Answer:

ez

Step-by-step explanation:

E(red) will be twice that of E(black), so Seth should choose to play red marbles.

Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.

Both options will lose points because there are two ways to lose points and only one

What will be displayed when the following code is executed? number = 6 while number > 0: number -= 3 print(number, end = ' ').

Answers

With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.

Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.

With number = 0, number > 0 is no longer true, so we exit the loop.

Then the print statement simply prints the current value of number, which is 0.

Find the measures of angles x and y in the figure.

Answers

y = 90° (linear pair)

x = 180° - (50° + 90°) [Angle Sum Property]

x = 180° - 140°

x = 40°

=》 x = 40° & y = 90°

______

Hope it helps ⚜

y=90°

x=40°

Step-by-step explanation:

y=90 because its in a linear pairx= 40 because of angle-sum property (180-50-90=40)

what is 47- 24 (x+3)x

Answers

23x2+69x and that’s correct lol

Express the following ratio as a fraction then reduce the fraction to the lowest terms

4:6

Answers

Step-by-step explanation:

4:6 as a fraction is 4/6

4/6 in its lowest terms is 2/3

hope this helps

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

6=2(y+2) solve for what is y?

Answers

Answer:

y is 1

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

First divide both sides by 2

this gives you 3 = y+2

then subtract 2 from each side giving you y = 1

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