All categories

3 years ago

PLEASE PLEASE PLEASE HELP

Mathematics

1 answer:

Musya8 [376]3 years ago

3 0

Answer:

The weight of large box = 13.75 kilograms

the weight of small box = 6.5 kilograms

Step-by-step explanation:

Given:

delivery of 2 large boxes and 3 small boxes has a total weight of 47 kilograms

delivery of 6 large boxes and 5 small boxes has a total weight of 115 kilograms.

Let x be the weight of large box

and y be the weight of small box

Make equation from the given information

2(weight of large box) + 3(weight of small box) = 47

2x + 3y = 47 -----------> equation 1

Do the same and make one more equation

6x + 5y = 115-----------> equation 2

Now we solve both equation using elimination method

Multiply the first equation by 3

6x + 9y = 141

6x + 5y = 115 (subtract both equations)

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

4y = 26

divide both sides by 4

So y= 6.5

Now plug in 6.5 for y and find out x

2x+3y = 47

2x + 3(6.5) = 47

2x + 19.5 = 47 (subtract 19.5 on both sides)

2x = 27.5

divide both sides by 2

x = 13.75

The weight of large box = 13.75 kilograms

the weight of small box = 6.5 kilograms

You might be interested in

A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?

lara [203]

circumference =2×pi×r

18/2=9(r)

so...2×pi×9

=54..5

6 0

2 years ago

Read 2 more answers

PLEASE HELP ME! Thanks!

stepladder [879]

Answer:

I guess 21 is your answers.

3 0

3 years ago

Which of the following equations represents the graph shown?

Sonja [21]

Answer:

It's the first one. -x+2

Step-by-step explanation:

The slope is negative and the line intersects the y-intercept at positive 2.

5 0

3 years ago

Read 2 more answers

A cube has a volume of 64. What is the length of one side of the cube?

bearhunter [10]

Answer:

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

The cube root of a number is the number you multiply by itself 3 times to get another number.
One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

1: 1 x 1 x 1 = 1.
2: 2 x 2 x 2 = 8.
3: 3 x 3 x 3 = 27.
4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0

2 years ago

(10 pts) (a) (2 pts) What is the difference between an ordinary differential equation and an initial value problem? (b) (2 pts)

laiz [17]

Answer:

Step-by-step explanation:

(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.

(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.

(C) Example of a second order linear ODE:

M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)

The equation will be homogeneous if K(t)=0 and heterogeneous if $K(t)\neq 0$

Example of a second order nonlinear ODE:

$Y=-3K(Y){2}$

(D) Example of a nonlinear fourth order ODE:

$K^4(x) - \beta f [x, k(x)] = 0$

4 0

3 years ago