Jessica packed 1-inch cubes into a box with a volume of 144 cubic inches how many layers of 1-inch cubes did Jessica pack

Sal is making bracelets for a fundraiser he uses 6 inches of yarn per bracelet how many bracelets can sal make with 5 feet of ya

4vir4ik [10]

Answer:

10

Step-by-step explanation:

12×5 = 60 in of yarn

60÷6 =10 bracelets

7 0

2 years ago

(MATH) (6) ((PHOTO)) label is ft

arsen [322]

Answer:

6 feet

Step-by-step explanation:

Volume of a rectangular prism = L × W × H

15 feet × 8 feet × H = 720 feet ³

120H = 720

H = 720 ÷ 120

H = 6 feet

5 0

2 years ago

All about simulitious equations

Korolek [52]

Answer:

On occasions you will come across two or more unknown quantities, and two or more equations

relating them. These are called simultaneous equations and when asked to solve them you

must find values of the unknowns which satisfy all the given equations at the same time.

Step-by-step explanation:

1. The solution of a pair of simultaneous equations

The solution of the pair of simultaneous equations

3x + 2y = 36, and 5x + 4y = 64

is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides

to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.

2. Solving a pair of simultaneous equations

There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a

single equation which involves the other unknown. The method is best illustrated by example.

Example

Solve the simultaneous equations 3x + 2y = 36 (1)

5x + 4y = 64 (2) .

Solution

Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation

6x + 4y = 72 (3)

Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:

6x + 4y = 72 − (3)

5x + 4y = 64 (2)

x + 0y = 8

5 0

2 years ago

2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.

vaieri [72.5K]

Answer:

Dimension of box:-

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

$500=x^2y$

Therefore, $y=\dfrac{500}{x^2}$

It is open box. The surface area of box, S .

$S=x^2+4xy$

Put $y=\dfrac{500}{x^2}$

$S(x)=x^2+\dfrac{2000}{x}$

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

$S'(x)=2x-\dfrac{2000}{x^2}$

For critical point, S'(x)=0

$2x-\dfrac{2000}{x^2}=0$

$x^3=1000$

$x=10$

Put x = 10 into $y=\dfrac{500}{x^2}$

y = 5

Double derivative of S(x)

$S''(x)=2+\dfrac{4000}{x^3}$ at x = 10

$S''(10) > 0$

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0

3 years ago

A $900 notebook computer is discounted 5% what is the sale price of a notebook computer

fenix001 [56]

The sale price of computer is $855

Step-by-step explanation:

First of all the discount is calculated and then subtracted from the original price to calculate the sale price

Given

price of notebook computer = $900

Discount = 5%

So,

$Discount = 5\%\ of\ 900\\= 0.05 * 900\\= \$45$

Now,

$Sale\ price = Original\ price - Discount\\= 900-45\\=855$

Hence,

The sale price of computer is $855

Keywords: Discount, percentage

Learn more about percentage at:

#LearnwithBrainly

5 0

2 years ago