What numbers are included in the set of integers? What numbers are not included

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

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Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

Answer:

Sin angle = opp/hyp

Cos angle = Adj/ hyp

Tan angle = opp/adj

The opp = the base of the triangle

The hyp = w

The adj = 125

Btw....

SOH CAH TOA

SOH = Sin ( Opposite ÷ Hypotenuse)

CAH = Cos ( Adjacent ÷ Hypotenuse)

TOA = Tan ( Opposite ÷ Adjacent)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

Relative Max is 6

Relative Min is -8

Answer: 1071.0 prep

Step-by-step explanation:

Answer:

2c+8

Step-by-step explanation:

this is because we are using 2 to open up the brackets. You will multiply c by 2 and 4 by 2.

Answer:

1. 37/100

2. 2 2/5 or 12/5

3. 33/100

Step-by-step explanation:

Answer: 37/100.

2 2/5.

33/100

Step-by-step explanation:

I recommend using symbolab.com for further steps and calculator

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

30/5 = 6

6 * 3 = 18

Answer:

x = 6

Step-by-step explanation:

Alternate angles are congruent.

7x - 9 = 3x + 15               {Subtract 3x form both sides}

7x - 3x -9 = 15

      4x - 9=15            {Add 9 to both sides}

           4x = 15+9

           4x = 24

           x = 24/4

x = 6

Answer:

A line....

Step-by-step explanation:

Plz be more clear with your question!

Thank You

Answer:

Scalene

Step-by-step explanation:

Answer: 430 cm

Step-by-step explanation:

Answer:

430 cm

Step-by-step explanation:

43 multiplied by 10 is 430

Answer:

uhh

Step-by-step explanation:

carrot?

The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.

The point-slope form of the line is y-y₁ = m( x-x₁)

Here, m is the slope of the line.

The graph given in the question has a slope of 5

It passes through the point ( -1,3)

The point slope form of the line is

y - 3 = 5 ( x - (-1))

y-3 = 5(x+1)

This is represented by option C.

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Answer:

Mean score of 90 students = 77.2

Step-by-step explanation:

Mean score of 50 students from school A = 75

Mean score of 40 students from school B = 80

We need to find mean score of the 90 students?

First we will find sum of scores of students from school A

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]

So, Sum of scores for School A = 3750

Now, we will find sum of scores of students from school B

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]

So, Sum of scores for School B = 3200

Now, We will find mean score of the 90 students?

Mean score of 90 students will be:

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]

So, mean score of 90 students = 77.2

Answer: A, D

Step-by-step explanation:

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

We defined an argument as a reasoned or thoughtful process. The correct option is A.

An argument is a statement or set of claims known as premises that are designed to assess the degree of truth or acceptability of another statement known as the conclusion. Arguments may be analyzed from three different perspectives: logical, dialectical, and rhetorical.

Since the act or process of arguing, reasoning, or discussing is known as an argument. Therefore, we defined an argument as a reasoned or thoughtful process.

An argument is made up of three parts: the conclusion, the premises, and the assumptions. 

The conclusion (or theses) is the point of the argument's major idea—what the author is attempting to show.

The premises are the reasoning or evidence provided by the author to justify the conclusion.

The assumptions support the conclusion, but unlike the premises, they are unsaid and so invisible.

They connect the premises and conclusions.

Learn more about Arguments here:

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Answer:

15w+5

Step-by-step explanation:

Any like terms can be combined to simplify.

2w+13w=15w

4+1=5

So, 2w+4+13w+1= 15w+5

Answer:

W = -1/3

Step-by-step explanation:

15W + 5= 0

15W = -5

W = -5/15

W = -1/3