A portable fuel tank used to transport gasoline is in the shape of a rectangular prism. The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide. The volume of the tank is
33,488 cubic feet.
What equation represents the volume of the portable fuel tank

Answers

Answer 1

The equation represents the volume of the portable fuel tank in terms of width (w) is w³ + 34w² + 145w - 33488 = 0.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A portable fuel tank used to transport gasoline is in the shape of a rectangular prism.

The tank is 5 feet longer than it is wide and 29 feet deeper than it is wide.

The volume of the tank is 33,488 cubic feet.

Let the width of the rectangular prism be w. Then we have

length = w + 5

height = w + 29

Then the volume is given as

Volume = l × w × h

33488 = (w + 5) (w) (w + 29)

Then we have

[tex]\begin{aligned} \rm w^3 + 5w^2 + 29w^2 + 145w &=33488 \\\\\rm w^3 + 34w^2 + 145w - 33488 &= 0\\\\\rm (w - 23)(2w+57)(2w + 57) &= 0\\\\\rm w &= 23, -28.5, -28.5 \end{aligned}[/tex]

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Related Questions

5/3 divided by (-6/7).
Write your answer in simplest form.

Please please Help me!! ​

Answers

Answer:

-1  17/18

Step-by-step explanation:

I solved this.

Answer:

[tex]-\frac{35}{18}[/tex]

Step-by-step explanation:

[tex]\frac{5}{3}[/tex] ÷ [tex]-\frac{6}{7}[/tex] is the same as [tex]\frac{5}{3}[/tex] × [tex]-\frac{7}{6}[/tex]

Multiply across:

5 x 7 = 35

3 x 6 = 18

Applying the negative sign, we get:

[tex]-\frac{35}{18}[/tex]

Since we cannot simplify any further, -35/18 is out final answer.

Hope this helps!

The area of Quad ABCD with vertices at A(-3,0), B(3,2), C(6,-7), and

D(0,-9) is 54 square units.

•True

•False

Answers

Answer:

false

Step-by-step explanation:

what is the solution to w - 9 1/2 = 15
24 1/2
6 1/2
23 1/2
5 1/2​

Answers

Answer:

Option A

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]\sf w - 9\dfrac{1}{2}=15\\\\ w - \dfrac{19}{2}=15[/tex]

Now isolate 'w'

[tex]\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}[/tex]

Answer:

[tex]\huge\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

Step-by-step explanation:

[tex]w - 9 \frac { 1 } { 2 } = 15[/tex]

Multiply both the sides of the equation by 2.

[tex]2w-\left(9\times 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30[/tex]

Bring [tex]19[/tex] to the left hand side of the equation.

[tex]2w=30+19 \\2w=49 \\\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

what is 2/3 divided by 3/4 please answer

Answers

Answer:

[tex]\frac{2}{3}\div\frac{3}{4}\\= \frac{2}{3}\times\frac{4}{3}\\= \boxed{\frac{8}{9}}[/tex]

Answer:

2/3÷3/4

8/9 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Complete the table of values for the equation y = 3x + 5.

Answers

f(x)=3x+5

f(-2)=3×(-2)+5

= -6+5

=-1

f(-1)=3×(-1)+5

=-3+5

=2

f(0)=3×0+5

=0+5

=5

f(1)=3×1+5

=3+5

=8

f(2)=3×2+5

=6+5

=11

If P and Q are points on a circle, then the center of the circle must be on the perpendicular bisector of chord P Q. Explain. Which point on the chord is closest to the center? Why?

Answers

The center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center.

What is a perpendicular bisector?

It should be noted that a perpendicular bisector simply means a line the intersect another line through the intersection point.

In this case, the center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center. This bisects it at a right angle. The chord closer to the centimeter will be the one closer to the diameter.

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Graph the line with slope 3/2 and y-intercept 3. ​

Answers

Answer:

The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a  5 % incline can be written as  5100 , which means that for every  100  feet forward, the height increases  5  feet.Figure  4.4.1 In mathematics incline of a line the slope and use the letter  m  to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example  4.4.1 Figure  4.4.2 From the given points on the graph, count  3  units down and  4  units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .

Step-by-step explanation:

Can someone help me with number 4 please

Answers

Answer:

Step-by-step explanation:

Y = kx is the direct variation equation. First find k, the could variation. 16 = k * 20. Divide both sides by 20. 16/20 = k 4/5 = k. The direct variation is "y=kx" . As "x" increases the value of "y" increases.

Please help! Will give brainiest for best answer! (28 points max.) (Problem is below!)

Answers

Answer:

its b

Step-by-step explanation:

i cant explain it just trust me

Answer:

B

it doesn't have 8 sides so it can't octagon and it can't be a heptagon bc it doesn' thave 7 sides. hope this helps

Which statement is true?

The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480.
The value of 2,550 x (1,588 − 4) is 4 less than the value of 2,550 x 1,588.
The value of 2,943 x 5,682 + 6 is 6 times the value of 2,943 + 5,682.
The value of 4,530 − 2,356 is half the value of 2 x (4,530 − 2,356).

Answers

Answer: Last option is true,

Step-by-step explanation: All other option are false

Answer:

D

Step-by-step explanation:

What is the Volume of 15x16x6

Answers

Answer:

i think its 1440 ft

Step-by-step explanation:

Answer:

Volume = 15×16×6 = 1440 feet^3

Step-by-step explanation:

I really really need help with this

Answers

False - should be 7 root 5

Step-by-step explanation:

y = hypotenuse, longest side (so, it's the value of c)

Using the value of x (21) & y as (14) in the equation a^2 + b^2 = c^2

I get the value of 7 root 3 as shown above, to be 7 root 5 instead.

I know part of the question is cut off, but I'm sure that it's asking you to prove wrong or right if the triangle could be a right-angle triangle (with right measurements) & it's one because the last missing angle is 90 degrees.

(Root means square root)

Hope this helps!

Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. last month, Seth paid a total of $6.50 in checking account fees. How many checks did he write?

A) 1

B) 2

C) 3

D) 4

Answers

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

pls help with this math problem

Answers

-1.5. -1 1/2. -3/2






yeah so its this i’m 99.98% sure

What is the missing step in solving the inequality 4(x – 3) 4 < 10 6x? 1. the distributive property: 4x – 12 4 < 10 6x 2. combine like terms: 4x – 8 < 10 6x 3. the addition property of inequality: 4x < 18 6x 4. the subtraction property of inequality: –2x < 18 5. the division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative startfraction 1 over 9 endfraction. x > –x is greater than or equal to negative startfraction 1 over 9 endfraction.

Answers

The missing step in solving the inequality is x > -9

How to determine the missing step?

The inequality is given as:

4(x – 3) + 4 < 10 + 6x?

The steps are given as:

the distributive property: 4x – 12 + 4 < 10 + 6x combine like terms: 4x – 8 < 10 + 6x the addition property of inequality: 4x < 18 + 6x the subtraction property of inequality: –2x < 18

The next step in solving the inequality is to apply the division property of inequality by dividing both sides by -2.

This gives

x > -9

Hence, the missing step in the inequality is x > -9

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Gabe has 60 coins consisting of quarters and dimes. The combined value of the coins is
$9.45. How many quarters and dimes does Gabe have?

Answers

Answer:There are 23 quarters and 37 dimes in the collection                   Step-by-step explanation: i got it right:)

Determine the equation of the circle graphed below.

Answers

[tex]\bold{ANSWER:}[/tex]
(x + 7)^2 + (y - 2)^2 = 4

[tex]\bold{EXPLANATIONS:}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth.
24
ко
Use Pythagorean theorm

Answers

Answer:

26

Step-by-step explanation:

a^2+b^2=c^2

24^2+10^2=c^2

576+100=c^2

676=c^2

squrt 676=26

c=26

A number cube is rolled 25 times and lands on 2 five times. What is the experimental probability of landing on 2?

Answers

Answer:

5/25, 1/5, or 20%

Step-by-step explanation:

Based on the experiment the dice lands on 2 five times, giving you the experimental probability

2. What is 256 rounded to the nearest hundhed

Answers

Answer: 300

Step-by-step explanation:

300-256=44 and 256-200=56Since 256 is closer to 300 than it is to 200, 300 is the answer.

5. Eunice is flying a kite with vertices at points A(0, 0), B(0, 4), C(7, 7), and D(4, 0). If each unit
represents one foot, what is the area of Eunice's kite?

Answers

The area of Eunice's kite is [tex]2\sqrt{58}[/tex].

What is the kite?

A kite is a tethered heavier-than-air or lighter-than-air craft with wing surfaces that react against the air to create lift and drag forces.

Eunice is flying a kite with vertices at points A(0, 0), B(0, 4), C(7, 7), and D(4, 0).

If the diagonals in a quadrilateral are perpendicular to each other then the area is one-half of the product of the diagonals.

All Kites and rhombi fall in this category.

By the distance formula;

[tex]\rm AB =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\\\BC =\sqrt{(7-0)^2+(7-4)^2} =\sqrt{49+9} =\sqrt{58} \\\\CD =\sqrt{(4-7)^2+(0-7)^2} =\sqrt{49+9} =\sqrt{58}\\\\AD =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\[/tex]

The area of Eunice's kite is;

[tex]\rm Area = \dfrac{1}{2} \times AB \times BC\\\\Area =\dfrac{1}{2} \times 4 \times \sqrt{58} \\\\Area =2\sqrt{58}[/tex]

Hence, the area of Eunice's kite is [tex]2\sqrt{58}[/tex].

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The volume of this CONE is 175π cubic units.

What is the volume of a CYLINDER with the same radius and the same height?

Answers

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

Formulae(s):

Volume of cylinder: πr²hVolume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

⇒ πr²h = 3(πr²h/3)⇒ πr²h = πr²h (True)

Determining the volume of the cylinder;

⇒ Volume of cylinder = Volume of cone × 3⇒ Volume of cylinder = 175π × 3⇒ Volume of cylinder = 525π⇒ Volume of cylinder = 1649.33 units³   (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.

PAOLA GAVE AWAY 42 OF HER BOOKS SHE NOW HAS 150 BOOKS CALCULATE THE PERCENT CHANGE

HINT: how many books did she HAVE

please help me

Answers

Answer:

21.875%

Step-by-step explanation:

We need an equation to represent this problem,

Let x be the number of books she had before giving away 42 of them,

x - 42 = 150

To find out how many books she had before turn the problem around and add 42 with 150,

150 + 42 = x

⇒ x = 192

Now that you know that divide 42 by 192,

Let n be the quotient of 42/192

42/192 = n

⇒ n = 0.21875

Now to turn that into a percent move the decimal 2 spaces to the left,

0.21875

⇒ 2.1875

⇒ 21.875%

Therefore there was a 21.875% change.

A recipe needs 34 cup of water for every 2 cups of flour. If you plan to use 6 cups of flour, how much water will you need?

Answers

Answer:

102 cups of water

Step-by-step explanation: If you need 34 cups of water for every 2 cups of flour, you can cut the 6 in half to get 3. 3 times 34 is 102.

Which of the following inequalities matches the graph?

A. The correct inequality is not listed.
B. 5x+y ≥1
C. 5x+y ≤1
D. 5x-y ≥1

Answers

Answer:

A

Step-by-step explanation:

It's not listed.

By the way if you look up "Desmos Graphing Calculator" you can click on the website and put in equations and it'll graph it for you. That way you can see if the answer is right or not

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.


People Entering Amusement Park
A graph titled People Entering Amusement Park has time (minutes) on the x-axis, and number of people on the y-axis. Points trend in a positive line.
Time (minutes)

a.
positive; as time passes, the number of people entering decreases.
b.
negative; as time passes, the number of people entering decreases.
c.
no correlation
d.
positive; as time passes, the number of people entering increases.

Answers

Answer:

D

Step-by-step explanation:

In a busy amusement park the number of people entering always rises as time goes on. Hope it helps (Brainliest Please!)

Answer:

d

because of you take a positive and it should not change until there is a positive and a negative put to together

Find three fractions that are equivalent to 1/3

Answers

2/6 3/9 4/12 those are all equivalent to 1/3

Step-by-step explanation:

The fractions equivalent to 1/3 are 2/6, 3/9, 4/12, etc. Equivalent fractions have the same value in the reduced form.

ALLL these fraction are in highest form while there lowest form is 1 / 3

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
grams = 10 ounces

Answers

Answer:

283.5

Step-by-step explanation:

HELP ME I"M VERYYYY CONFUISED

Two numbers are multiplied and the product is negative. If one number is negative, what is true of the other number?
It is 0.
It is positive.
It could be positive or negative.

Answers

Answer:

If it's zero it's neither of them because zero is not a number to multiply with because it will always be zero when multiplying with zero

Please help the problem is below.

Answers

Answer:

1. $1,122
2. $485.25

3. $440

4. $2,047.25

Step-by-step explanation:

1. 22 feet * 17 feet = 374 square feet * $3 per square foot = $1,122
2. 17 feet * 10 feet * 4 walls = 680 square feet. 680 feet - (7ft*3ft for the door) - (2*2ft*3ft for the windows) = 647 square feet * $0.75 per square foot = $485.25
3. 374 square feet/ $88 per gallon = 4.25 gallons which rounds up to 5 gallons, and 5 gallons at a cost of $88 per gallon = $440
4. $1,122 + $485.25 + $440 = $2,047.25

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