350 is what percent of 400??

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

Answer:

If she played on the swings for 24 minutes and on the slide for 13, then she was at the playground for 37 minutes.

If she left the playground at 4:28, then you want to subtract 37 minutes from 4:28.

4:28 - :37 = 3:51.

She arrived at the playground at 3:51

Step-by-step explanation:

Hope it helps! =D

Answer:

3:51 p.m.

Step-by-step explanation:

Add the two amounts of time:

24 minutes + 13 minutes = 37 minutes

She was at the park for 37 minutes. She arrived at the park 37 minutes before 4:28 p.m.

Now we subtract 37 minutes from 4:28 p.m.

Remember that 1 hour = 60 minutes, so when you borrow 1 hour to do the subtraction, you add 60 minutes to the minutes of the time of day.

Borrow 1 hour from 4 hours as 60 minutes. You end up with 3 hours. Then add the 60 minutes to the 28 minutes to get 88 minutes.

4:28 p.m. is the same as 3:88 p.m.

     4:28 p.m.                             3:88 p.m.

-     0:37                 ----->         -  0:37

-------------------                       -------------------

                                                  3:51 p.m.

Answer: 3:51 p.m.

Answer: 1-i

Step-by-step explanation: If your in algebra 2 then this is the answer

First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.

Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:

time = distance/rate

time = 26/6

time = 4.33 hours

Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:

time = 26/7.5

time = 3.47 hours

Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:

time = 2 + (36/60)

time = 2 + 0.6

time = 2.6 hours

In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.

To learn more about Average Speed visit:

https://brainly.com/question/12322912

#SPJ1

Answer:

23

Step-by-step explanation:

25+22+21+23+24= 115

115/5 = 23.

Answer:

The mean is 23 Your welcome

The exact value of tan  θ = 15/ 8

Trigonometric Identities are defined as the equalities involving trigonometry functions and also one that holds true for all the values of the variables  in the given equation.

The trigonometric functions are;

From the information given, we have;

tan θ = opposite/ adjacent

To determine the adjacent sent

17² - 15² = x²

x = √64

x = 8

Substitute the value

tan θ = 15/8

Hence, the value is 15/8

Learn more about trigonometric identities here:

https://brainly.com/question/7331447

#SPJ1

Answer:

61.1

Step-by-step explanation:

Here, we simply add the two numbers together.

25+36=61

0.5+0.5=1

so, the answer is 61.1

Check the picture below.

Answer:

A≈276.46km²

d Diameter

8

km

h Height

7

km

Answer:

24 cm^3

Step-by-step explanation:

you do length times width times height.

Answer:

$30 per sweater is how much profit the store will make

Step-by-step explanation:

The cost of 1 sweater (for the store) is $6.

The store sells the sweater for $36 (504/14).

The store is making $30 per sweater.

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

Answer:

9

I am not able to upload my answer unless its 20 characters long

Answer:

2

Step-by-step explanation:

Rise over run.

The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.

Answer:

The slope is 2.

Step-by-step explanation:

Let me know if you need an explanation.

hope this helps and is right :)

Answer:

Two thousand and twenty three

Step-by-step explanation:

Answer: Two and twenty-three thousandths

Step-by-step explanation:

The numeric value of the function d(t) = 12t + 20 at t = 4 is given as follows:

d(4) = 48.

The interpretation of this numeric value is that after a time of 4 hours, Joanna has cycled 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

The meaning of each variable is given as follows:

The numeric value at t = 4 is obtained replacing the lone instance of t in the function by 4, as follows:

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68 miles.

Meaning that after a time of 4 hours, the distance cycled by Joanna was of 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

thanks i appreciate it                                                                        

Answer:

Thank you Do you Have a question Or?

The length of 9/16 of an inch threaded section of the pipe indicates that the new length of the threaded section after 4/32 of an inch is trimmed off obtained by the difference between the fractions is; C. 7/16 of an inch

A fraction is the representation of only a part of a whole of an item in the form of a quotient, consisting of a numerator, being divided by a denominator.

The length of the threaded section of the pipe = 9/16 of an inch

The length of the threaded part trimmed off due to an error = 4/32 of an inch

The new length of the threaded section following the trimming off of 4/32 is therefore;

New length of the threaded section = 9/16 - 4/32

The value of the difference between the fractions is found as follows;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{2 \times 9 - 4}{32} = \dfrac{14}{32}[/tex]

[tex]\dfrac{14}{32}=\dfrac{7}{16}[/tex]

Therefore;

[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{7}{16}[/tex]

The new length of the threaded section will be 9/16 - 4/32 = 7/16

The correct option that indicates the new length of the threaded section is C. 7/16

Learn more about fractions here: https://brainly.com/question/11865121

#SPJ1

Step-by-step explanation:

Answer:

explanatory variable

Step-by-step explanation:

Plato/Edmentum

Answer:

The answer is c=15.

Step-by-step explanation:

.......

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.

so we have to plot data from the given data, we can do by

3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

To know more about plotting data visit:

https://brainly.com/question/29096917

#SPJ1

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

Every position in a circle's plane is equally spaced from the centre and is considered to be a closed, double object. A line of reflected symmetry is created as a result of each line traversing the circle. Each angle also has an axis of symmetry that circles its center.

Here,

Given : Diameter = 8

Radius = 8/2 = 4cm

To find the semi circle area

=>semi circle area = πr²

=>  22/7 * 4² *1/2

=>  25.1 sq cm

To find the perimeter of semi circle :

=> 2πr /2

=> πr

=> 22/7*4

=>12.5 cm

Therefore , the solution to the given problem of circle comes out to be area = 25.1 sq cm and perimeter=12.5 cm.

To know more about circle visit :-

brainly.com/question/29142813

#SPJ1

Answer:

4*0 (the last one)

Step-by-step explanation:

Answer:

because SRC is the outer angle of the triangle STR

=> SRC = STR + TSR

<=> 101 = 4x + 12 + 7x + 12

<=> 101 = 11x + 24

=> 11x = 77

<=> x = 7

Answer:

7

Step-by-step explanation:

➝4x+12+7x+12=101°

➝4x+7x+12+12=101°

➝11x+24=101°

➝11x=101-24

➝11x=77

➝x=77/11

➝x=7

The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

Learn more about algebraic properties here:

https://brainly.com/question/1448147

#SPJ1

Answer:

13

Step-by-step explanation:

42/2 = 21

34-21 = 13

Answer:

234 pounds

Step-by-step explanation:

100% - 2.5% = 97.5%

(0.975)(240) = 234

234 pounds

Answer:

Dan pays £234 now.

Step-by-step explanation:

240 - 2.5% * 240 = 234

Therefore, he pays £234.

Thenks and mark me brainliest :))))