Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below.

Answer:

y = -2x  + 7

Step-by-step explanation:

When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as

m1m2 = -1

Given the line

y = 1/2 x + 8

Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept

m = m1 = 1/2

Hence the slope of the perpendicular line m2

= -1/1/2

= -2

Given that the line passes through the points (1,5)

using the equation

y - y1 = m (x - x1)

y - 5 = -2(x - 1)

y = -2x +2 + 5

y = -2x  + 7

Answer: 504. Multiple for : 18, 24 and 42. Factorize of the above numbers : 18 = 2 • 32 24 = 23 • 3. 42 = 2 • 3 • 7

Answer:

w=10 cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is V=whl.

So in this case, the equation would be 1560=w·12·(w+3). Then, we can simplify this equation.

1. Divide 12 to both sides of the equation. 1560/12=130. The equation becomes 130=w(w+3).

2. Distribute w through the parentheses, the equation becomes 130=w²+3w.

3. Then, -130 from both sides of the equation, so we can get the quadratic: w²+3w-130=0.

4. Factor the quadratic. w²+3w-130=(w-10)(w+13).

5. (w-10)(w+13)=0. w=10 or w=-13. However, w is the width of a rectangular prism, can the width of a shape be negative? No. So we can ignore the solution w=-13. Therefore, w=10cm.

6. To make sure our answer is correct, let's substitute the values back into the volume of a rectangular prism formula: V=whl. w=10; h=12; l=10+3=13; V=10(12)(13)=120*13=1560 cm³. As a result, our answer is correct, w=10 cm.

Hope this helps, have a nice day.

Answer:

Simple Interest (I) =  Principle * Rate * Time

so I = PRT

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

so

Assuming its per year after 4month

I = (47300)(0.03)(0.333333)

I = 472.999527

I = $473

Now we'd add the interest(I) to the Principle

$47300 + $473 = $47773.00

Assuming it is per month, after 4months

I = PRT

I = (47300)(0.03)(4)

I = $5676.00

Now add the interest to the principle

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

Answer:

D) -cos(x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

Answer:

212, pretty sure

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

Answer:

postitive

Step-by-step explanation:

|-a| = a, a>0

Answer: -3

Step-by-step explanation: DeltaMath

Answer:

Step-by-step explanation:

Find the diagram attached

The sum of the two adjacent angles is 180 degrees. Hence;

8x-9 + 53 = 180

8x + 44 = 180

Subtract 44 from both sides of the equation

8x + 44 - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

Hence the value of x is 17

Answer:

It is 1, or A:  adding the two middle numbers

Step-by-step explanation:

When you think of it, here's an example:

15

23

55

34

Add 23 and 55:

23+55=78

We've got this now:

15

78

34

Now, all you've gotta do is find the mediam.

Hope this helped, and please mark as Brainliest <3

Answer:

[tex]-22\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a=\frac{1}{3} , b = -10, c = -3[/tex]

change  [tex]b^{2} - 9a^{2} + c[/tex]   to  

[tex]-10 -9\frac{1}{3} + (-3)[/tex]

=

[tex]-22\frac{1}{3}[/tex]

Answer:

c or d sorry if I'm wrong

Step-by-step explanation:

I think it's your d because of the shortest answers and they're the only two that makes sense

Answer:

It is called a rectangular prism

It has 8 vertices

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

Answer:

Can you please explain this question more thoroughly?

Step-by-step explanation:

it is difficult to understand

The simplified expression is 4x - 23.

Option A is the correct answer.

We have,

To simplify the expression 3(2x - 5) - 2(x + 4), we need to apply the distributive property and combine like terms.

First, distribute the 3 to the terms inside the parentheses:

3 * 2x = 6x

3 * (-5) = -15

Next, distribute the -2 to the terms inside the parentheses:

-2 * x = -2x

-2 * 4 = -8

Now, let's simplify the expression by combining like terms:

6x - 15 - 2x - 8

Combine the x terms: 6x - 2x = 4x

Combine the constant terms: -15 - 8 = -23

Thus,

The simplified expression is 4x - 23.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

The complete question:

Simplify the expression 3(2x - 5) - 2(x + 4).

A. 4x - 23

B. 4x - 7

C. 4x + 13

D. 4x + 7

Answer: no

Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600

https://goodcalculators.com/ratio-calculator/

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Answer:

yes

Step-by-step explanation:

18:6

18/6=3

6/6=1

3:1 is a simpler version of 18:6

Answer:

Your answer would be A

Step-by-step explanation:

Answer:

try this link!

Step-by-step explanation:

https://www.wylieisd.net/cms/lib09/TX01918453/Centricity/Domain/783/Math%20Connections%20Key.pdf

Answer:

y=5x-13

Step-by-step explanation:

i think it depends on if you have enough money to buy the books you need so C would be the answer