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Galina-37 [17]
3 years ago
10

Write an expression for the sequence of operations described below.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

2( \frac{ {5}^{3} }{b})
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PL HELP !!!!!!!!!Chris is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet d
marissa [1.9K]

The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

Step-by-step explanation:

The given is,

              Dimensions of supply box - 1.5 feet tall, 1 foot wide, and 2 feet deep

              Dimensions of crate - 9 feet high, 10 feet wide, and 10 feet deep

Step:1

             Volume of supply box,

                                 V_{Box} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 1.5 feet

                         w = 1 foot

                           l = 2 feet

            Equation (1) becomes,

                       V_{Box} = (1.5)(1)(2)

                                = 3 cubic feet

                      V_{Box} =3 cubic feet

Step:2

            Volume of crate,

                                 V_{crate} = whl.............................(1)

            Where, w - Width of box

                          h - Height of box

                           l - Length of box

            From the given,

                         h = 9 feet

                         w = 10 foot

                           l = 10 feet

            Equation (1) becomes,

                       V_{Box} = (9)(10)(10)

                                = 900 cubic feet

                      V_{Box} =900 cubic feet

Step:3

            No. of boxes can pack in the crate,

                                               = \frac{Volume of crate}{Volume supply box}

                                               = \frac{900}{3}

                                               = 300 supply boxes

Result:

             The maximum number of supply boxes she can pack in the crate is 300, if supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.

8 0
3 years ago
An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting a square from each corner an
vodomira [7]

Answer:

Dimensions are;

2.5 inches height

Base: 10 inches by 10 inches

Max volume; 250 Sq.in

Step-by-step explanation:

Let each side of the square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60

Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

6 0
3 years ago
Expand and simplify 5(2x-1)-2(3x+2)
kupik [55]

Answer:

4x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

5(2x - 1) - 2(3x + 2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                               10x - 5 - 6x - 4
  2. Combine like terms (x):          4x - 5 - 4
  3. Combine like terms (Z):         4x - 9
6 0
2 years ago
12. A scientist is observing a family of mice. There are four nice which are reproducing and doubling in number every month. Whi
Margaret [11]

Answer:

?

x = the number of months pass right

3 0
2 years ago
If p is a prime, which one of the following could be a prime also?
xz_007 [3.2K]
Well I got j for this. I picked a prim number for ex 5 and tries it with each problem.
7 0
3 years ago
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