. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9 units. Find the length and width of the box.

Answers

Answer 1

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width


Related Questions

The wheels on an adult sized 4-wheeler have a radius of 11 inches. What total distance will the wheels travel in one full rotation?

a
34.54 Inches

b
690.80 Inches

c
69.08 Inches

d
379.94 Inches

Answers

Answer:

C. 69.08 inches

Step-by-step explanation:

Find the distance the wheels will travel by finding the circumference of the wheel.

Use the circumference formula, C = 2[tex]\pi[/tex]r

Plug in 11 as r in the equation, and 3.14 as pi, then solve:

C = 2[tex]\pi[/tex]r

C = (2)(3.14)(11)

C = 69.08

So, the correct answer is C. 69.08 inches

Answer:

69.08 inches

Step-by-step explanation:

We can plug in the known value into the equation for circumference: [tex]C = 2\pi r[/tex]

Using 3.14 as [tex]\pi[/tex] we get:

[tex]C=69.08[/tex]

Now multiply the circumference by revolutions to get distance:

69.08 x 1 = 69.08

Note that the distance is in inches because the radius is in inches.

3. Given the bar chart below,
(a) draw a frequency table from the graph.
(b) calculate the mean mark.
(c) what is the modal mark?
(d) find the median mark.
(e) if a student is selected at random, what is the probability that he/she scored
not less than 3 marks?
7
Frequent
п
0
-
0
3
5
N
6
6
Marks​

Answers

Answer: shehshywhwyw

Step-by-step explanation:


What is the approximate area, rounded to the nearest square inch, of the frame only? Use 3.14 for 1

Answers

Answer:

Step-by-step explanation:

area of square=l^2

=12^2

=144 in.^2

Find the length of side y.
y=_ft

Answers

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Plz help me well mark brainliest if correct.....


.......????

Answers

Answer:

C) The mean is about 100.

Step-by-step explanation:

We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:

Let [tex]a[/tex] be the mean (average) of the values:

[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.

Find the volume of the following cone. Area of base = 54 cm?

A) 180
B) 422.54
C) 513.33

Answers

Answer:

The volume of the cone is of 18h, in which h is the height of the cone.

Step-by-step explanation:

Volume of a cone:

The volume of a cone with base area [tex]A_b[/tex] and height h is given by:

[tex]V = \frac{A_bh}{3}[/tex]

Area of base = 54 cm

This means that [tex]A_b = 54[/tex] and thus:

[tex]V = \frac{54h}{3} = 18h[/tex]

The volume of the cone is of 18h, in which h is the height of the cone.

A sample of radium has a weight of 1.5 mg and decays
by half every 6 years. Circle all of the following
functions that correctly model the amount of radium
f(t) in mg remaining after t years

Answers

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.



You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?


Answers

Answer:

total number of people on Friday = 285

total number of people on Saturday = 355

total increment = 355-285 = 70

total increase percentage = 70÷285*100

= 24.56%

hope it helps!

A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94

Answers

The mean for class A is 82

Solve.

(3- y) (2 y– 9)=0

(If there is more than one solution, separate them with commas.)

Answers

Answer:

3 , 9/2

Step-by-step explanation:

(3- y) (2 y– 9)=0

y=3 , y= 9/2

hope this helps! feel free to clarify

Which of the folowing elements represent the whole? a. percentage b. base c. rate d. both a and b

Answers

Answer:

The answer is letter D

Explanation:

Hope it helps!

Answer:

D is the right answer

Explanation:

Plz help me well mark brainliest if correct

Answers

Answer:

387 is the answar because number of milk sold on monday is 212 and in tuesday 175

212+175=387

Answer:

387

Step-by-step explanation:

The addition of milk sold on monday with milk sold on tuesday

which is

212+175=387

help it's due tomorrow

Answers

answer: 72

wordswordswords

please help. giving brainliest. 10 points

Answers

Answer:

for B based on the information givin the answer would be 8 4/7

hope this helps

Answer:

60/7 or 8 4/7

Step-by-step explanation:

Take the length of one of your rods and multiply by 15.

4/7 x 15/1 = 60/7 or 8 4/7

A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?

Answers

Answer:

c = 10*b

Step-by-step explanation:

We know that in each bag, we have exactly 10 sliced carrots.

so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:

c = 10*b

So for example, if we have one bag, b = 1

c = 10*1 = 10

So in one bag, there are 10 carrots.

if instead, we have 3 bags, b = 3

c = 10*3 = 30

in 3 bags we have 30 carrots.

Then the equation that represents the relationship between b and c is:

c = 10*b

or

b = c/10

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Answers

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

Could someone please help me because I am rubbish at maths?
15% of £40​

Answers

the answer of this equation is 6

Answer:

£6.00

Step-by-step explanation:

15/100×40

=£6.00

Ralph rolls a single die two times in a row. What is
the probability that he will roll a "three" both times?

Answers

Answer:

1/18 i think

Step-by-step explanation:

The probability of occurring 3 both times will be 1/36.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Probability of occurring 3 for the first time ⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

Probability of occurring 3 in second time⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

So,

Probability of occurring 3 both times = 1/6 × 1/6 = 1/36

Hence "The probability of occurring 3 both times will be 1/36".

For more information about the probability,

brainly.com/question/11234923

#SPJ2

Which equation can be used to find the length of the missing side x?

Answers

It should be B. 7 sin 65, your answer would be 6.34415

What is diameter d in meters if the distance around the track is 400 meters round your answer to the nearest tenth

Answers

The answer is 768 minutes away from the park I got it coming

3. Solve for each power. 4 to the third power.

Answers

Answer:64

Step-by-step explanation:

Answer: 4 to the third power is represented as:

4^3 = 64

Hope this helped!

please help:) thank you

Answers

The answer is slope

The sum of a number and twenty-one is sixty-four.

What is the value of the number?

The number equals

Answers

Answer:

43

Step-by-step explanation:

64-21= 43 :))))) ez

Answer:

43

Step-by-step explanation:

I hope you pass your test!

EDG2021 <3

Plz help me well mark brainliest if correct..???

Answers

Answer:

23 students letter d ran the 50 yard dash

Answer:

18

Step-by-step explanation:

the time of the students:

23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61

there are 18 number so 18 students did it

Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.

Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?

Answers

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

[tex]d=\frac{1}{3} (1+d+d2)[/tex]

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

please help me i really need help[ please

Answers

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

24 boys, 45 girls and 281 adults are the members of a badminton club.
50 more children join the club.
The number of girls is now 18% of the total number of members.
How many of the 50 children were boys?

Answers

24+45+281+50=400

(45+n/400)×100=18

45+n=18×4=72

n=72-45=27

50-27=23.

hope it's correct

23 of the 50 children added were boys. The answer is 23 boys

Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.

Total number of people as members of badminton = 24 + 45 + 281 = 350

Percentage of girls = girls/total number x 100

% of girls = 45/350 x 100

% of girls = 12.9%

If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be

New total members = 350 + 50 = 400

Let g = new added girls from the children

Percentage of girls = girls/total number x 100

18 = (g + 45) / 400 x 100

18/100 =  (g + 45) / 400

cross multiply

0.18 x 400 = g + 45

72 = g + 45

make g the subject of formula

g = 72 - 45

g = 27 girls

To get the number of boys added, take 27 away from the 50 children. That is,

The number of boys added = 50 - 27 = 23 boys

Therefore, 23 of the 50 children added were boys

Learn more about arithmetic here: https://brainly.com/question/6561461

PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

HELP NEEDED!! QUESTION BELOW

Answers

Answer:

A

Step-by-step explanation:

The values will increase because the multiplier is greater than 1 (1.05).

does anyone know the answer to this i need help really bad!!!

Answers

Step-by-step explanation:

1/20.5 is yr ans

stay safe healthy and happy...
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