Solve, using a proportion.
If there are 75 pepperoni on
5 large pizzas, how many pepperoni
are there on 3 large pizzas?

Answer:

2x+6

Step-by-step explanation:

(-x+4)+(3x+2) remove ()

-1x+4+3x+2 combine like terms

2x+6

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

Answer:

[tex]\frac{1}{2\sqrt{5} }[/tex]

Step-by-step explanation:

Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y

sin(y) = [tex]\frac{x}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]

[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)

[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]

cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]

          = [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]

          = [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]

Therefore, from equation (1),

[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]

At x = 4,

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]

[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]

                   [tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]

                   [tex]=\frac{1}{\sqrt{20}}[/tex]

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

no because you are not distributing numbers that multiply with each other and form new expressions

Answer:

hm I'm not sure but you solve it like this

Step-by-step explanation:

(6x + 3) + (5x - 4)

remove unnecessary parenthesis

6x+3+(5x-4)

collect like terms

11x+3-4

answer :

11x-1

Answer:

B

Step-by-step explanation:

I just took test

please make me Brainliest

Answer:

15 feet

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).

To solve for the length of the ladder, use the Pythagorean Theorem.

[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]

Answer: 3.75

Step-by-step explanation:

[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]

The missing side length is 3.75

Answer:

The answer is 639.

Step-by-step explanation:

42.6 × 15

639

Answer: 639

Step-by-step explanation:

42.6 x 15 =639

Answer:

Intersection

Step-by-step explanation:

The intersection of two set A and B is defined as the elements which can be found in both set A and set B.

For instance :

A = {1, 3, 5, 7, 9, 11}

B = {2, 4, 6, 7, 8, 9, 10}

The intersection of the two sets A and B denoted as ;

AnB = {7, 9}

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

Answer:

64x³+4

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

2x-1

Step-by-step explanation:

I hope this helps. :)

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

[tex]V=A\times h[/tex]

A is area of base and h is height

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

Answer:

A is the correct answer

Step-by-step explanation:

We need to figure out the base and the height. We can do that using pythagorean's theorem.

The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.

Answer:

[tex]0.109\ \text{acres per pound}[/tex]

Step-by-step explanation:

Given that,

It takes 91 pounds of seed to completely plant a 10-acre field.

We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.

[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]

So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].

Answer:

option is B)

Step-by-step explanation:

2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.

2x = 4

hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...

Answer:

k = i√ 5 , -i√ 5

Step-by-step explanation:

3 + kx^2 + 2 = ?

3 + k(1)^2 + 2 = ?

5 + k(1)^2 = ?

5 + k^2 = ?

k^2 = -5

k = i√ 5 , -i√ 5

Answer:

5x/3

Step-by-step explanation:

Answer:

x-intercept: (2,0)

y-intercept: This line doesn't cross the y-axis.

Answer:

63

Step-by-step explanation:

7(4+x)

Distribute: 28 + 7x

Substitute: 28 + 7(5)

Simplify: 28 + 35

Simplify: 63

Answer:

60(.3)= 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:5.25

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Answer:

Noah answer is the correct answer

Step-by-step explanation:

The solution to the above question is given as:

Total Volume = Volume of the prism + Volume of the cube

Volume of the prism = 20 cubic units

Volume of a cube = (Side length)³

= 10³ = 1000 cubic units

Hence: The total volume =

20 cubic units + 1000 cubic units

= 1,020 cubic units

Therefore, I agree with Noah's answer.

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm