Solve the system by using the elimination method.

Answer:

104

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

Solution given:

length[l]=5in

base[w]=2in

height[h]=6in

we have

surface area=2(lw×lh×wh)=2(5×2+5×6+2×6)

=104in²is surface area of juice box.

again

we have

volume =lwh=5×2×6

=60in³ is volume of juice box.

Answer:

B

Step-by-step explanation:

subtract the function of h by the real number and write it in form of inequality

Answer:

The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct

Step-by-step explanation:

Answer:

c. 56 degrees

Step-by-step explanation:

angle FEG and angle DEG add up to 180.

2x-6+3x-31=180

x=31

2(31)-6=56

The measure of angle ∠ FEG is,

∠ FEG = 56°

We have to given that,

Angles are defined as,

∠ FEG = (2x - 6)°

∠ DEG = (3x + 31)°

Here, Angles FEG and angle DEG are linear pair.

Hence, angle FEG and angle DEG add up to 180.

2x - 6 + 3x + 31 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31

Therefore, The measure of angle ∠ FEG is,

∠ FEG = (2x - 6)°

∠ FEG = (2 × 31 - 6)°

∠ FEG = (62 - 6)°

∠ FEG = 56°

Learn more about the angle visit:;

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Answer:

That would be impossible because you would get melted by the earth core

Step-by-step explanation:

When you say bottom of the world, I'm assuming you mean the middle or the core. Like the other answer said, I'd just die. BUT if I didn't die, then yes, I think I'd be in all the time zones. :) Or I just wouldn't have a sense of time.

We tell time based on how much sunlight we get, so would that mean it would be midnight forever?

Answer:

Radius is 3

Height is 2

So,

Volume = πr²h

Volume = 3.14 × (3)² × 2

Volume = 3.14 × 9 × 2

Volume = 3.14 × 18

Volume = 56.5 units²

Answer: 56.52

Step-by-step explanation:

You can get a volume of a cylinder by multiplying pie which is 3.14 by radius squared multiplied the height...

The equation is Volume = πr²h

Or in simpler terms:

3.14 × radius ×radius × height

So the final equation is:

3.14 × 3² × 2

=56.52

Answer:

Step-by-step explanation:

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

i.e

Since the function P is defined as the perimeter of the square in terms of its side length S,

We can substitute S = 3 into the function and get P(3) = 12.

This means that the sum of the four sides of the square when its length is 3 units is equal to 12 units.

Thus,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

Learn more about squares here:

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Answer:

(x+4)^2 + (y+2)^2 = 5

Explanation:

Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].

Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].

Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:

(x-h)^2 + (y-k)^2 = r^2

This becomes:

(x+4)^2 + (y+2)^2 = 5

Answer:

Step-by-step explanation:

(x-(-4))^2+(y-(-2))^2=5

since 2 negatives equal a positive, - -4 = +4

same thing for -2

(x+4)^2+(y+2)^2=5

Answer:

y = -5x - 4

Step-by-step explanation:

-20x - 4y = 16

-4y = 20x + 16

4y = -20x - 16

y = -5x - 4

Answer:

x=-2, y= 1

Step-by-step explanation:

Given data

-2x+3y= 7 --------------1

5x+8y= -2--------------2

Multiply 1 by 5 and 2 by 2 and add

-2x+3y= 7   X 5

5x+8y= -2   X 2

-10x+15y= 35  

10x+16y= -4  

0x+31y= 31

31y= 31

y= 31/31

y= 1

put y= 1 in eqn 1

-2x+3y= 7

-2x+3(1)= 7

-2x+3=7

-2x= 7-3

-2x= 4

x=- 4/2

x= -2

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Answer:

y = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

5 (y+2/5) = −13

Step 1: Simplify both sides of the equation.

5(y+2/5)= −13

(5)(y) + (5)(2/5) = −13(Distribute)

5y + 2 = −13

Step 2: Subtract 2 from both sides.

5y + 2 − 2 = −13 −2

5y = −15

Step 3: Divide both sides by 5.

5y/5 = −15/5

y = −3

Answer:

y = −3

hope this helps and is right :)

Answer:

31%

33%

Step-by-step explanation:

I'm not 100% sure. I tried my best.

Answer:

Sclaene triangle

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The Lines are all different angles hence they are all different lengths

Answer:

b.) 75.36

Step-by-step explanation:

Got it right on edge

Answer:

-2 = n

Step-by-step explanation:

Multiplying both sides by (5/4) quickly isolates (n - 3):

(5/4)(4/5)(n - 3) = (5/4)(n - 2), or

n - 3 = (5/4)(n - 2)

Let's eliminate fractions by multiplying both sides by 4:

4n - 12 = 5n - 10

Combining like terms, we get -2 = n

Answer:

4 is the answer.

Step-by-step explanation:

4 is the lowest integer that satisfies both inequalities.

Answer:

2.025

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B

Answer: D

Step-by-step explanation:

5x + 4x = 180°

Angles on a straight line add to 180°

Answer:

x=65°  

Step-by-step explanation:

Since all exterior angles add up to 360°.

⇒(3x+25°) + (20°) + (x+55°) =360°

⇒4x+100°=360°                                      {Add up like terms}

⇒4x=260°                                                {Subtract 100 from both sides}

∴  x=65°                                                   {Isolate x (divide both sides by 4)}

I hope this helped you with your math problem but more especially with understanding how to solve.

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

Answer:

∠ B = 54°

Step-by-step explanation:

Supplementary angles sum to 180°, so

7x + 7 + 4x - 14 = 180

11x - 7 = 180 ( add 7 to both sides )

11x = 187 ( divide both sides by 11 )

x = 17

Then

∠ B = 4x - 14 = 4(17) - 14 = 68 - 14 = 54°

Answer:

Raul made 8 servings of fruit salad

Step-by-step explanation:

Here, we want to get the number of servings made by Raul

From the question;

1 serving = 1/2 cup

x servings = 4 cups

Thus;

4 * 1 = x * 1/2

x = 4/(1/2)

x = 8 servings

Answer:

Step-by-step explanation:

given

y = 19 - 2x

when x = 3 , y = 13

when x = 4 , y = 11

when x = 5 , y = 9

when x = 6 , y = 7

hope it helps :)

Answer:

well the answer is 120

Step-by-step explanation: