The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a​ 50-lb block of cheese is enough to make 150 large pizzas. Find the constant of proportionality. Use pencil and paper. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.

Answer:

50

Step-by-step explanation:

Let's drag the x line to the other side with the 14 and 48.

Then we do the Pythagorean theorem like 14^2 + 48^2 = x^2.

So then we get that x^2 is 2500

then we clearly know the square root of 2500 is 50

So 50 is our answer.

Answer:

x = 50in.

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]14^{2}[/tex] + [tex]48^{2}[/tex] = 2500

[tex]\sqrt{2500}[/tex] = 50

Answer:

c

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

Answer:

(X-x0)^2 +(y-y0)^2= r^2

R=4

R^2=16

(X-0)^2+(y-0)^2=16

Answer:

GH=45

HJ=81.6

GJ=53.4

Step-by-step explanation:

hope i helped <3

Answer:

$17.48

Step-by-step explanation:

^^^^^^^^^^^^^

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

Answer:

Formula : V = I (1 + R)^T  , Deers after 5 years ≈  556

Step-by-step explanation:

Exponential formula for  final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'

V = I (1 + R)^T

As per given deer case, I = 330 & R = 11% = 0.11

V = 330 ( 1 + 0.11 )^t

Predicted deers after 5 years, V = 330 (1.11)^5

330 x 1.685 = 556.05

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

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Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.

Y = 10 -3(-3) = 10 + 9 = 19

19 doesn’t equal -1 so the point does not lie on the line.

Answer: C. about 3%

Step-by-step explanation:

In 2006 , Number of dogs in U.S. dogs  = 72 million

In 2010, Number of dogs in U.S. dogs  = 70 million

The percent decrease in the number of dogs in U.S. Homes from 2006 to 2010  =

[tex]\dfrac{\text{Change in number of dogs}}{\text{Number of dogs in 2006}}\times100\%\\\\=\dfrac{(72-70)\text{ million}}{70\text{ million}}\times100\%\\\\=\dfrac{2}{7}\times10\%\approx3\%[/tex]

So, the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 was about 3%.

Hence, the correct option is C. about 3%

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

Answer:

false

Step-by-step explanation:

3(0) - 2(-5) = 10

the < says it cannot be equal

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

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Answer:

equation form: 12 + 2x = 18

x = 3

lets check the work see if its true

12 + 2(3) = 18

12 + 6 = 18

It Checks!

therefore your answer is 3. He can get 3 different toppings

Step-by-step explanation:

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

Answer:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)

And the amount spent can be represented as:

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]

And

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

[tex]0.75c + 1.10h = 4.55[/tex]

Hence, the equations are:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Solving for c and h

Make c the subject in [tex]c + h = 5[/tex]

[tex]c = 5 - h[/tex]

Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]

[tex]0.75(5- h) + 1.10h = 4.55[/tex]

[tex]3.75- 0.75h + 1.10h = 4.55[/tex]

[tex]3.75 +0.35h = 4.55[/tex]

Collect Like Terms

[tex]0.35h = 4.55 - 3.75[/tex]

[tex]0.35h = 0.8[/tex]

Solve for h

[tex]h = 0.8/0.35[/tex]

[tex]h = 2.28571428571[/tex]

[tex]h =2[/tex] -- approximated

Recall that:

[tex]c = 5 - h[/tex]

[tex]c = 5 - 2[/tex]

[tex]c =3[/tex]

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

Learn more about the g(f(x)):

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Answer: 22,800

Step-by-step explanation: Depends on what you do that year

Answer:

Plane B is faster

Step-by-step explanation:

slope = 5/3x

y intercept = 8/3

Step-by-step explanation:

3y = 5x + 8 + 0

divide all the numbers by 3

y = 5/3x + 8/3

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].

CHECK:

To check, plug in x.

4([tex]\frac{-5}{4}[/tex]+7)=23.

Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.

Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

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