Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

Then:

[tex]V = lwh = 102.5(5.33)(3.25) = 1776[/tex]

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at https://brainly.com/question/17223528

Answer:

(rs2) x t

Step-by-step explanation:

r+s=rs

rsx2=rs2

(rs2)xt

Answer:

2t(s+r)

Step-by-step explanation:

Add r to s

s+r

Double the result

2(s+r)

Multiply what you have by t

2t(s+r)

Answer:

n  =  6 ,  − 6

Step-by-step explanation:

Take the root of both sides and solve.

[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

To eliminate this question we can divide the top part by -3:

[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]

Let‘s sum these system of equation and we get: [tex]y=-6[/tex]

We can now insert y as -6 and solve for x:

[tex]3x-12=-3[/tex]

[tex]x=3[/tex]

So, [tex]x=3, y = -6[/tex]

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )

The weight of Euclid is 10.625 pounds, and the weight of Riemann is 21.25 pounds.

The expression that represents the given scenario is written as;

when Pythagoras weight is 1/4 pound less than weight in January:

T + 1.2x + 0.25 = y

y- 13 + 1.2x + 0.25 = y

1.2x - 12.75 = 0

Euclid's weight is calculated as follows;

1.2x = 12.75

[tex]x = \frac{12.75}{1.2} \\\\x = 10.625 \ pounds[/tex]

The weight of Riemann is calculated as follows;

[tex]= 2 (10.625)\\\\= 21.25 \ pounds[/tex]

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Answer:

y=10x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=10(x-0)

y-4=10(x)

y-4=10x

y=10x+4

Answer:

40%

Step-by-step explanation:

To convert a decimal to a fraction, multiply it to 100

[tex]\frac{2}{5} \times 100[/tex]

[tex]=\frac{2}{5} \times \frac{100}{1}[/tex]

[tex]=\frac{2\times100}{5\times1}[/tex]

[tex]=\frac{200}{5}[/tex]

[tex]=40[/tex]

Therefore, [tex]\frac{2}{5}[/tex] is 40%

Step-by-step explanation:

Explanation:

To get 25 as a percent, we need the denominator to be 100 .

Now that we have a denominator equal to 100 , just look at the numerator and that's your percent.

40%

.40.

.4 or 0.4.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]

Answer:

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

Step-by-step explanation:

m is an SI prefix for milli-, meaning 1/1000.

c is an SI prefix for centi-, meaning 1/100.

Expressed in liters, these volumes are ...

  0.10 l

  0.50 l

  1000/1000 l = 1.00 l

  10/1000 l = 0.01 l

  15/100 l = 0.15 l

In order from smallest to largest, they are ...

  0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l

In the original units, the order is ...

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

Answer:

0.158203125

i think

Answer:

62-0.75x8

Step-by-step explanation

$6=discount

8 tickets

Total=62.00

0.75 multiplied by 8= 6

62-6=56

56 is before the discount

Equation would be 62-0.75x8

Answer:

I'd say none, as we're missing something in this problem. Make sure you've included everything to solve this problem. Thanks.

Answer:

1) 4x^{5} y^{2} (5y+2xy-1)

2) Implied to have no solution based on given context.

Step-by-step explanation:

Problem 1:

1) Find the Greatest Common Factor (GCF).

[tex]GCF=4x^{5} y^{2}[/tex]

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4x^{5}y^{2} (\frac{20x^{5} y^{3} }{4x^{5}y^{2} } +\frac{8x^{6}y^{3} }{4x^{5} y^{2} } +\frac{-4x^{5} y^{2} }{4x^{5} y^{2} } )[/tex]

3) Simplify each term in parentheses.

[tex]4x^{5} y^{2} (5y+2xy-1)[/tex]

Problem 2:

From the way the problem is given, there is no solution.

Answer:

∠GHD is 85°

Step-by-step explanation:

180°-95°

85°

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

Answer:

the answer is 64%

Step-by-step explanation:

80/125 = 64

Answer:

2

Step-by-step explanation:

the coefficient is the number in front of the variable (the number being multiplied by the variable).

Answer:

x=-1/2

Step-by-step explanation:

2x+2=4x+3

-1=2x

x=-1/2

Children

Friends

Babies

Lunches

Bikes

Answer:

There are six blue bows and ten silver bows. = 6:10

There are four red bows out of ten bows. = 4:10

There are three black bows out of a bag of ten bows. = 3:10

There are three silver bows for every four red bows in a bag. 3:4

Answer:

5/8

Step-by-step explanation:

Answer: I think it's 2 7/8 lemme know if i'm wrong

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

The answer is 5/8 because 4*5 equals 20 and 4*8 equals 32. Therefore, you have to do the same thing you do to the numerator to the denominator. In addition, you I divided 20 by 4 which is 5 and 32 divided by 4 is 8. So, it is 5/8.

Answer:

1440

Step-by-step explanation:

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

Learn more about properties of rectangle on:

https://brainly.com/question/2835318

Answer:

3 2-pt shots, 4 3-pt shots

Step-by-step explanation:

2x + 3y = 18

x + y = 7, so x = 7 - y

Substitute in for x

2(7 - y) + 3y = 18

14 - 2y + 3y = 18

14 + y = 18

y = 4

Now put 4 in for y to solve for x

2x + 3(4) = 18

2x + 12 = 18

2x = 6

x = 3

Answer: The answer is 19.04 meters.

Explanation: The explanation is in the image.

Answer: It is tho ?

Step-by-step explanation: