The table below shows the proportional relationship between the weight of cereal, in ounces, and the number of packs of cereal:


Number of Packs
of Cereal Number of Ounces
of Cereal
2 34
3 51
4 68


What is the constant of proportionality?
9
17
34
36

Answer: p+1

Step-by-step explanation:

3(2/3p+3-1/3p)

=3(1/3p+3)

=p+1

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Answer:

y=2.5x - Proportional  

y= x - 4 - Not Proportional  

Step-by-step explanation:

A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.

The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.

However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.

Hope this helps.

Answer:

4x (x - 2y)

Step-by-step explanation:

Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.

The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

4x² - 8xy

= 4xx - 8xy

= 4xx + 2 × 4xy

= 4x (x - 2y)

So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

(mampir ke indo:v)

_____________

Answer:

20 cups

Step-by-step explanation:

Michelle: 10 3/5 cups made

Leslie: 9 2/5 cups made

Steps:

First, let's turn each number into decimal form.

10 3/5 = 10.6

9 2/5 = 9.4

Then, add

9.4 + 10.6 = 20

Conclusion

They made 20 cups in all

Note:

Hope this helped :)

Have a nice day

Reply with any questions or concerns please :D

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer: x=-21/2

Step-by-step explanation:

1

2

−

1

⋅

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

Answer:

The range is y≥0

Step-by-step explanation:

The shape of this graph is a parabola

You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.

(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.

For example

y = (2)^2=4

y = (3)^2 = 9

(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).

Example

      y = x^2

                 Y    |     X

                ________

                 2      |   4  

                 3     |   9

                 4    |    16

In this case the function's range is y≥0 because all y values will be greater than or equal to 0.

If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.

Answer:63

Step-by-step explanation:

Answer:

285.2

Step-by-step explanation:

2852.1/10 = 285.21

but rounded to the nearest tenth is 285.2

Answer:

285.2

Step-by-step explanation:

After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.

Answer:

The Diagram is not showing

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

They paid 247 dollar.

Step-by-step explanation:

They paid 247 dollar

Answer:

Step-by-step explanation:

1 student paid 6.50

25 students paid x

1/25 = 6.50 / x                     Cross multiply

x = 25 * 6.50

x = 162.50  

The total for all 25 came to 162.50 dollars.

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.

{hope this helps}

Step-by-step explanation:

7x - 3x=5 + 7

we will plus --

10x =12

x=12÷10 or 10 /12

x=12.2

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

Learn more about the finance charges here:

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Answer:

5 students; $90

Step-by-step explanation:

A-P-E-X

Answer:

I don't know (-_-)  HAHAHAHA

Step-by-step explanation:

Answer: 3.5"

64:80::2.8":x

[tex]\frac{64}{80}[/tex][tex]\frac{2.8}{x}[/tex]    

2.8x80=224

224/64=3.5"

Answer:

3.5

Step-by-step explanation:

that's what the other dude said

i mean i dont know what you want me to help but good luck

Answer:

11.87%

Step-by-step explanation:

34.2/288=0.11875

Which is about 0.1187

So 11.87%

Answer:

11.87

Step-by-step explanation:

mental math and just big brain

Answer:

yes

Step-by-step explanation:

The first option. 100% correct.

[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!