The members of a cooking club are making cakes, which they will sell at a street fair for $9 apiece. It cost $50 for a booth at the fair, and the ingredients for each cake cost $4. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be?

Answer:

18

Step-by-step explanation:

The solution is Option B.

The value of the modulus function is A = 18

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

A = 6 | 5 - c | + 2c  be equation (1)

Now , when the value of c = 6

Substituting the value of c in the equation , we get

A = 6 | 5 - 6 | + 2 ( 6 )

A = 6 | -1 | + 2 ( 6 )

The value of the modulus function always returns a positive value ,

So , A = 6 ( 1 ) + 2 ( 6 )

A = 6 + 12

A = 18

Therefore , the value of A is 18

Hence , the modulus function is A = 18

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Answer:

n=82

Step-by-step explanation:

[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

Hope this helps ;) ❤❤❤

ooooh lemme drive da bus

Step-by-step explanation:

f(x)=y

(x,y)

(x,f(x))

then,

f(-4)=1

f(0)=2

f(4)=3

Answer:

(7x+1)=x-5

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]

[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]

LHS = RHS:  tan 2A = tan 2A  [tex]\checkmark[/tex]

Answer:

y = 48 - (8x)

Step-by-step explanation:

x = unknown number of coworkers

y = number of chocolates left over

y = 48 - (8x)

Example: If you were to plug in the number 5 for x:

y = 48 - (8(5))

y = 48 - 40

y = 8

The answer is 48-8f

Ccffcxdfcve

Step-by-step explanation:

Hey, there!

Here,

Given that:

[tex] = 25 {x}^{2} - 4[/tex]

we need to find factor,

As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,

25x^2 means (5x)^2

and 4 means 2^2

Now, it would be,

[tex] = ( {5x)}^{2} - {2}^{2} [/tex]

[tex] = (5x + 2)(5x - 2)[/tex]

Therefore, it's factor would be (5x+2)(5x-2).

Hope it helps....

The value of [tex]x[/tex] is 7.

Important information:

The given equation can be written as:

[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]

[tex]6x-4=4x+10[/tex]

[tex]6x-4x=4+10[/tex]

[tex]2x=14[/tex]

Divide both sides by 2.

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Therefore, the value of [tex]x[/tex] is 7.

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Answer:

1. Because it is an integer.

2. Because it is a terminating decimals.

3. Because it is a terminating decimal as well as an integer.

4.Because it is a natural number.

5.Because it is a terminating decimal when divided.

6. Because it is a whole number.

7. Because it is a natural number.

8. Because it is a terminating negative decimal when divided(simplified basically).

Step-by-step explanation:

Irrational numbers include:

Non terminating,and non recurring decimals.

Example: 1.2345677854903421......so on.

Hope this helps... :-)

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]

Hope this helps ;) ❤❤❤

Answer:

[tex]\bold{\angle NLM = 10^\circ}[/tex]

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

[tex]\text{m}\angle MNO = (5x-13)^{\circ}[/tex]

[tex]\text{m}\angle NLM = (x-4)^{\circ}[/tex] and

[tex]\text{m}\angle LMN = (2x+19)^{\circ}[/tex]

To find:

[tex]\text{m}\angle NLM=?[/tex]

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

[tex]\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14[/tex]

Putting the value of [tex]x[/tex] in [tex]\angle NLM[/tex].

[tex]\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}[/tex]

Answer:

d 80

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2

Answer:

Step-by-step explanation:

[tex]63y-35y\\=28y[/tex]

[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]

Step-by-step explanation:

5b-b,4b^2/b,...and so on

there are infinite number of equivalent expression..

among them five are here

4*b,

6b-2b,

2*2b,

((5b^3-b^3)/b^2),

2b+2b,etc

Answer:

The correct option is;

D. Accounting manager

Step-by-step explanation:

Mid level managers such as accounting managers in a large establishment can comprise three different managers, including accounts payable manager, account receivables manager, and the payroll administrator. However, in a small firm the accounting manager can be responsible for the  above accounting duties

In a large establishment, the financial controller has three accounting managers reporting directly to her, which are the accounts receivable manager, the payroll manager, and the account payable manger. In a small firm however all the above named accounting functions will be performed the accounting manager.

Answer:

This is the answer i hope

We have to find the area of rectangle or triangle if triangle

Equation =1/2*length*Breadth

That is 1/2*13*8

=52

Answer:

104 sq. ft.

Step-by-step explanation:

Add the to heights and then multiply your base times height:

6+7=13

13x8= 104

Answer:

4x + 16

Step-by-step explanation:

The area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of rectangle = l*w

Area of outer rectangle, where length (l) = (x + 5), and width (w) = (x + 4):

Area = (x + 5)(x + 4)

Expand

x(x + 4) +5(x + 4)

x² + 4x + 5x + 20

area of outer rectangle = x² + 9x + 20

Area of inner rectangle, where length (l) = (x + 4), and width (w) = (x + 1):

Area = (x + 4)(x + 1)

Expand

x(x + 1) +4(x + 1)

x² + x + 4x + 4

Area of inner rectangle = x² + 5x + 4

Area of shaded region = (x² + 9x + 20) - (x² + 5x + 4)

x² + 9x + 20 - x² - 5x - 4

Collect like terms together

x² - x² + 9x - 5x + 20 - 4

4x + 16

Area of the shaded region = 4x + 16

Answer:  3. Distributive

Step-by-step explanation:

Distributive property of multiplication over addition is the only property that is require to multiply an expression to the other expression with two or more than two terms.

For example: a (b+c)= a b+ac  , where a,b,c can be any expression.

Given expression:  -5(x-3) = -5x +15 , which illustrates the distributive property of multiplication over addition.

Hence, the correct option is 3. Distributive.

The rest of properties cannot work for multiplication over addition as they are used for one operation.

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

IF my scientific calculations are correct the answer is 20

Answer:

The answer is the fourth one.

[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

what the expression just 5 and 4 i dont get it

Answer:

Step-by-step explanation:

4+6+10+10+15+17+19=81

Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.

The third one is the right answer

Answer:

The first one is right. (A)

Step-by-step explanation:

Whenever we talk about compressions we just need to compress one of the axes in this case we are asked to compress the y-axis which means that the only values that will change are the y-values, don't get confused the x values have to stay the same.

Answer:

d. AB

e. A/B

Step-by-step explanation:

From the concept of homogeneity of dimension. The principle is that if two quantities occurs in the same direction, addition and subtraction of those two variable tends to occur but if two quantities occur in different direction, then we can only have either the division and multiplication of those quantities.

From the given information;

Suppose two quantities, A and B, have different dimensions.

The arithmetic operations  that could be physically meaningful are :

d. AB

e. A/B

Answer: Answer is in the steps

Step-by-step explanation:

A)  First convert 65 miles to kilometers  

65 miles to kilometers  is 104.607  

Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.

Now divide the kilometers by the number of minutes

104.607 / 60 = 1.74345  

The speed will be 1.74345 kilometers per minute.

B) Convert 3.5 hours to minutes.

3.5 hours is the same as 210 minutes    

Now multiply it by 1.74345 to determine how many kilometers you have traveled.

1.74345 * 210 = 366.1245

You will travel 366.1245 kilometers in 3.5 hours.