12x - 6y = 13
8x - 4y = -21

Answer:

6 511 104 in³

Step-by-step explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³

Answer:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Step-by-step explanation:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Answer:

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]

Here we can simplify this further using this law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we will get,

[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]

Since the powers are same we can cancel it out and we will get,

[tex]x = 12[/tex]

(Hope this answer helped :))

Answer:

42 square units

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

Area of the figure = 42 square units

Step-by-step explanation:

its 3/8 because she has eaten 2/8+3/8=5/8 and 8/8-5/8=3/8 is left

Answer:

The distributive property

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

Answer: 12/30 or 2/5

Answer:

48x

Step-by-step explanation:

[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03

Answer:

169

Step-by-step explanation:

13*13=169

Answer:

169

Step-by-step explanation:

length x width = area

since it is a square, all sides are equal.

13 x 13 = 169

Answer:

its D Please put me as brain eat if correct

Answer:

340

Step-by-step explanation:

340.33 and rounfing off whole number is 340

Answer:

C. (12.5 , 23.75)

Step-by-step explanation:

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

Answer:3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

Answer:

x= -1 and y= -1

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

-6x+5y=1

6x+4y=-10

Add the two equations together to eliminate x

-6x+5y=1

6x+4y=-10

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

9y     = -9

Divide by 9

9y/9 = -9/9

y= -1

Substitute back into one of the equations to find x

-6x+5y=1

-6x +5(-1) = 1

-6x -5 = 1

Add 5 to each side

-6x -5+5 = 1+5

-6x = 6

Divide by -6

-6x/-6 = 6/-6

x = -1

(-1,-1)

Answer:

3ab+(c^2)/a

you can't really solve this because g and r is not in the equation.

Answer: option 3

Step-by-step explanation:

Answer:

45x^2-328x+124

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First, let's find 64% of 25. We do this and get:

[tex]\frac{64}{100}\cdot25=\frac{1600}{100}=16. \text{ so our answer is \boxed{16 \text{ problems are true}}}[/tex]

Answer #1:

X= 75

Y= 15

Step-by-step explanation: The first equation is x+y=90 and then your next equation is x=5y. After you have those two equation you sub them in 5y+y=90 and once you solve for y you solve for x.

Answer:

7.91

Step-by-step explanation:

I just took the quiz and i got an A

Answer:

Its A. have a good day

Step-by-step explanation:

Answer:

wait let me try and see this carefully and then I will help you

Answer:

-2/1

Step-by-step explanation:

Answer:

67

Because I just know