A container in the shape of a rectangular prism has a height of 2 feet. Its length is four
times its width. The volume of the container is 200 cubic feet. Find the length and width of
the container.

Answers

Answer 1

Answer:

length = 20 feet and width = 5 feet

Step-by-step explanation:

Volume is equal to volume = height * width * length. The questions tells us the total volume is 200 cubic feet and that the lenght is equal to length = 4w. Set up the equation 4w * w * 2 = 200 cubic feet. Multiply to get 8w^2 = 200 and solve for w.


Related Questions

Please help
I need the lateral surface area

Answers

Answer:

[tex]la = 588 \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Lateral area for trapezoidal prism:

- Is the sum of all the areas excluding the base area.

la - Lateral area

[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]

[tex]la = al + \: bl + \: cl + \: dl[/tex]

[tex]la = l(a + \: b + \: c + \: d)[/tex]

[tex]la = 12(20 + 10 + 10 + 9)[/tex]

[tex]la = 588 \: \: {cm}^{2} [/tex]

What is the vertex of g(x) = 3x2 − 12x 7? (−6, −5) (−2, −5) (2, −5) (6, −5)

Answers

The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.

What is the vertex of the parabola?

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

The standard equation of the vertex of the parabola is;

[tex]\rm a(x - h)^2 + k[/tex]

Where h and k are the coordinates of the vertex of the parabola.

The given expression is;

[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]

On comparing with the standard form of vertex of the parabola

h = 2 and k = -5

Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).

To know more about parabola click the link given below.

https://brainly.com/question/20333425

can you answer it pls and by the way i am in 5th grade

Answers

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

Someone solve number 8 pleaseeeee

Answers

Answer:

2 cats

Step-by-step explanation:

12% of 24 = 2.88

Answer:

2 cats were adopted.

Step-by-step explanation:

When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.

24*12 = 288.

Now take that new number and divide it by 100. Now you have your answer. In this case,

288/100 = 2.88.

Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.

An urn of boiling water in an office has a capacity of 20litres. If it filled to maximum capacity, calculate the number of 250ml cups that can be shared from it.

Answers

Ok, in a liter there is 1000 milliliters, multiply by 20 to get 20,000, now we know the urn has 20,000 milliliters and we simply divide it by 250 to get about 80 cups

I NEED THIS ASAP
five doctors are selected at random from a hospital employing 27 doctors to fill out a question

*WILL GIVE BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

There are   27 C 5 ways to choose 5 doctors from 27

             = 27 ! /(22!  5!)  = 80730 ways to choose 5

This is a COMBINATION.

Answer: Combination

Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.

Compare with another response

The community center organizers want to buy 600 hot dogs. What will the cost be if they purchased the packages with the best buy? The best buy is 50 for 12 dollars

Answers

Answer:

144

Step-by-step explanation:

do 5 into 600 and u get 12 have a good day!!!

Answer:

$144

Step-by-step explanation:

first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.

then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.

What is 11 in x 17 in (7.7 in x 23) in

Answers

33117.7 in is the answer I believe…

Answer:

33117.7

Step-by-step explanation:

33117.7 is the perfect answer

7 The scouts are collecting canned food to donate to the food bank. Their goal is to
collect 550 cans of food. By the end of the first hour, they had collected 13 bags with
16 cans of food in each bag. By the end of the second hour, they had collected 12
more bags with 15 cans of food in each bag. How many more cans of food do they
need to collect to meet their goal of 550? Show all your work.
The scouts need to collect
more cans of food to meet their goal of 550.

Answers

Answer:

162 Cans more to reach goal of 550 cans.

Step-by-step explanation:

See attached image for the calculations

Can someone help me with this problem

Answers

d(4.4)

hope it really helps ...!!!

At approximately what time on the next day does the depth first reach 4 meters? 3:00 am 4:00 am 5:00 pm 10:00 am

Answers

Answer:

the answer is B, 4:00 am

Step-by-step explanation:

Answer:

At approximately what time on the next day does the depth first reach 4 meters?

3:00 am

4:00 am

5:00 pm

10:00 am

The correct answer is B. 4:00 am  

Write an example problem(s) for area.

Answers

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

A square with side lengths of 5.5*5 = 25.

Step-by-step explanation:

a. 30
b. 86
c. 32
d. 79

Answers

Answer:

30°

Step-by-step explanation:

<KOL = <JOL - <JOK

= 58° - 28°

= 30°

A trail mix contains raisin, peanut, and chocolate.
The ratio of raisin to peanut is 2:3 and the ratio
of peanut to chocolate is 5:8. What is the ratio
of raisin to chocolate?

Answers

2: 13.333 or 2: 13

multiply the 8 by 5/3 to combine the terms

help please im in class rn

Answers

Answer:

https://brainly.com/question/27407610

Step-by-step explanation:

.............................................

Answers

Answer:

90 degrees

Step-by-step explanation:

it is a right angle

Express cos S as a fraction in simplest terms.

Answers

Answer:

cos S = 7/25

Step-by-step explanation:

cosine is the ratio of the side adjacent to angle S and the hypotenuse.

use the pythagorean Theorem to or a Pythagorean triple to find the third side of the triangle It is a  7-24-25 triple or

b²=c²-a²

b=√c²-a²

b=√625-196

b=√49=7

cos S = 7/25

please help im so confused (need asap)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:10 {x}^{2} - 25x + 15 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:5(2x {}^{2} - 5x + 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 5x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 3x - 2x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(2x - 3) - 1(2x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 1)(2x - 3) = 0[/tex]

Therefore, the required factors are ~ (x - 1) and (2x - 3)

So, correct choice is B

Real world problem for quadratic using square root property?
please help ​

Answers

Answer:

Example:

Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?


Another Example how to solve it:

1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below



How to use the square root function in word problems?Examples: 1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?



Select the correct answer from each drop-down menu.
When a figure is translated, its orlentation
and the measures of its angles

Answers

Answer:

Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"

there isnt the word bank because you did not take a photo with the dropdown menu

Tyler swam for 230 minutes during his first week of vacation. In his two weeks of vacation, he swam for a total of 539 minutes. How many more minutes did he swim for in the second week than in the first week?

Answers

Answer:

79 minutes.

Step-by-step explanation:

Look below me for a further explanation he/she is correct.

Answer:

79 minutes.

Step-by-step explanation:

539 - 230 is 309. Tyler swam 309 inutes the 2nd week and 230 minutes the first week.309 - 230 is 79 minutes. Tyler swam 79 minutes more in the 2nd week than in the first week.

Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers? n2 n – 210 = 0 n2 n – 105 = 0 2n2 2n 210 = 0 2n2 2n 105 = 0

Answers

The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.

The product of those two numbers would become n × (n + 1) = n (n + 1).

Half of that product is n (n + 1) / 2.

And the question states that the equation is equal to 105, so the equation becomes,

n (n + 1) / 2 = 105

Now we have to simplify that equation until we get an expression equal to one of the choices,

Multiply both sides by 2

n (n + 1) = 210

n² + n = 210

Subtract 210 from both sides

n² + n - 210 = 0

Thus, the equation formed is the quadratic equation.

Learn more about quadratic equations;

brainly.com/question/13197897

Answer:

n² + n - 210 = 0 is your answer! hope it helps!

Step-by-step explanation:

what is the solution to the exponential equation 8x = 1/4

Answers

Divide each term in

8x=1/4 by 8 and simplify.

Exact Form: x=1/32

Decimal Form: x=0.03125

[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]

A rubber bouncy ball is dropped from a height
of 177.00 cm onto a hard flat floor. After each
bounce, the ball returns to a height that is 19%
less than the previous maximum height. What
is the maximum height reached after the 9th
bounce?

Answers

Answer:

0.0000571

Step-by-step explanation:

Height after 9th bounce = Initial height * (19/100)^9

                                        = 177*(0.19)^9

                                        = 0.00005711572

In need of help, please help before tomorrow

Answers

Answer:

D

Step-by-step explanation:

HELPPPP HEL-P MEE ME

Answers

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

208 m²

[tex] \: [/tex]

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]

Therefore,

The surface area of the cuboid is 208m²

find the height of the equilateral triangle ​

Answers

Answer:

height of the equilateral triangle is 5cm

by the use of Pythagoras

Step-by-step explanation:

H^2 = A^2 + O^2devide the base of the triangle i.e 3 as A and 6 as HO is Same as height hby substitution6^2 = 3^2 + O^236 = 9 + O^2O^2 = 36-9O = √27O or h = 5.19

par
-
129
2 A stew recipe calls for 3.75 pounds of meat. Jack wants to make 5 batches of stew.
How many pounds of meat does he need? Show your work.

Answers

Answer:

18.75 pounds

Step-by-step explanation:

3.75 pounds per 5 batches

batch 1 :    3.75                                                                 7.5

add them +                                                                    +  7.5

batch 2:  3.75                                                                =   15

              =                                                                          +3.75

                7.5                                                                  = 18.75

                                                                                 hope this helped

batch 3:  3.75

add them +

batch 4  3.75

              =  7.5

                 

    batch 5  3.75


What is the determinant of the coefficient matrix of the system?

Answers

Answer:

0

Step-by-step explanation:

the explanation is in the picture

A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785

1190

595

270

Answers

Answer:

595

Step-by-step explanation:

2 positions for 35 employees.

[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]

Where n = 35, total number of employees and k = 2, how many spots available

[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]

Answer:

595

Step-by-step explanation:

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