A catering business charges $50 to cater a meal for an event. The business also charges $12.50 per person for dinners that include chicken and $14.00 per person for dinners that include beef. Determine the charge for catering a dinner if 12 people request chicken and 8 request beef.

Answer:

3^5/2 is 15.5885.

Step-by-step explanation:

This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)

Answer:

  243 square inches

Step-by-step explanation:

The area is the square of the side length:

  A = s^2

  A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243

The area of the square is 243 square inches.

_____

The relevant rule of exponents is ...

  (a^b)^c = a^(bc)

Answer:

8

Step-by-step explanation:

When there are 2 minuses, they convert into + so that the ewuation turns into:

x+15=23

Then you move the +15 after the = sign

Now that you changed the side, you have to change sign so :

x= 23-15

x=8

Answer:

m = 0

Step-by-step explanation:

[tex]-2(8m+8)=-16\\\\\frac{-2(8m+8)=-16}{-2}\\\\ 8m+8=8\\\\8m+8-8=8-8\\\\8m=0\\\\\frac{8m=0}{8}\\\\ \boxed{m=0}[/tex]

Hope this helps.

Answer:2

Step-by-step explanation:

IM FAST RIGHT???

Answer:

A

Step-by-step explanation:

Hopefully this helps you

pls give me brainlest :)

Answer:

2k-58

Step-by-step explanation:

-5(k+6) + 7(k-4)

-5k-30+7k-28

2k-48

Answer:

-9

Step-by-step explanation:

Since 5 can go into 40 9 times, the answer would be nine, but by following negative rules, since we have an odd amount of negative numbers in this equation, the answer is -9

Answer:-8

Step-by-step explanation:

5 goes into -40 8 times. 5 goes into 45 9 times.

Answer: 6

Step-by-step explanation:

So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x

56-32=4x

24=4x

now divide 4 from bboth sides of the equation getting:

x=6

so Sameer ate 6 strawberries

Answer:

B. No solution

Step-by-step explanation:

[tex]2y-7\left(y+8\right)=1-5y\\\\\mathrm{Expand}\:-7\left(y+8\right):\quad -7y-56\\2y-7y-56=1-5y\\\\\mathrm{Add\:similar\:elements:}\:2y-7y=-5y\\-5y-56=1-5y\\\\\mathrm{Add\:}56\mathrm{\:to\:both\:sides}\\-5y-56+56=1-5y+56\\\\Simplify\\-5y=-5y+57\\\\\mathrm{Add\:}5y\mathrm{\:to\:both\:sides}\\-5y+5y=-5y+57+5y\\\\Simplify\\0=57[/tex]

Answer:

2y-7(y+8)=1-5y ///// y=B

Step-by-step explanation:

the sides are unequal, therefore, y cannot be found

Answer:

Step-by-step explanation:

the answer is 12 miles okay so subtract $1.30 from the $11.50 because that is the prize pf being in the car then the pries of a mile is $0.85 if that the case $11.50 -$1.30 would equal $10.2 and $10.2 divide $0.85 is 12 hopefully this helps

Answer:

Step-by-step explanation:

x + 8 = -2

x = -10

the answer is a

Answer:

i believe it is 5.75 months

Step-by-step explanation:

It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the amount of money in Bernie account after x months. Hence:

y = 100x + 200

To make $2500:

2500 = 100x + 200

x = 23 months

It would take Bernie 23 months to pay off the total cost of $2500 for the course using his savings

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Answer:

18 inches and 57 inches

Step-by-step explanation:

The diameter and the circumference of a circle are proportionate to each other.

The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as

[tex]2 \pi r[/tex]

Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].

1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.

2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.

3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.

So the 1st option is reasonable.

Hope this helped!

Answer:

First option: 18 inches diameter, 57 inches circumference

Step-by-step explanation:

Circumference of a circle is...

2 * radius * pi

We can approximate pi (3.14159...) to 3.

So the circumference of a circle is approx.

2 * radius * 3

We know the diameter of a circle is 2 times the radius...

diameter = 2 * radius

Thus, the circumference of a circle is approximately...

diameter * 3

First option:

Diameter 18, circumference 57

Let's try our approximation

18 * 3 = 54

We see that 57 is pretty close and is a reasonable approximation.

Second option:

Diameter 3, circumference 28

3 * 3 = 9

Not even close to 28.

Third option:

Diameter 33, circumference 80

3 * 33 = 99

Closer, but much further off than our first option.

Answer:

1/0.49

Step-by-step explanation:

Every pound = 1 pound

And for every one of this company spends 0.49pound

To express this in a ratio is 1:0.49

Which is also 1/0.49 in fraction.

A ratio tells us how many times a number contains another number. It compares two numbers in relation to each other.

Therefore 1/0.49 expresses the amount spent on advertising as a ratio

Answer:

4

Step-by-step explanation:

3x-12=24

-12 to both sides

3x-12-12=24-12

3x=12

3x/3=12/3x

x=4

Answer:

0 to 100 miles

Step-by-step explanation:

Trust me I know  say thanks ppl

An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.

For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.

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Answer:

6x-4

Step-by-step explanation:

Let's simplify step-by-step.

2(3x−2)−(4x−4x)

Distribute the Negative Sign:

=2(3x−2)+−1(4x−4x)

=2(3x−2)+−1(4x)+−1(−4x)

=2(3x−2)+−4x+4x

Distribute:

=(2)(3x)+(2)(−2)+−4x+4x

=6x+−4+−4x+4x

Combine Like Terms:

=6x+−4+−4x+4x

=(6x+−4x+4x)+(−4)

=6x+−4

Answer:

=6x−4

Answer:

4 bagels for $3

Step-by-step explanation:

10 bagels for 11 = 1.10 and 4 bagels for $3 = 0.75

Answer:

i would say the first one because you get 10 bagels for 11 $ because 1.50 cents per bagel

Answer:

it is a reflection

Answer:

reflection y=x

Step-by-step explanation:

Answer:

neither terminating nor repeating.

Step-by-step explanation:

The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Irrational numbers are those real numbers, which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers means, natural numbers are not irrational.

The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.

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Answer:

x = -4 thus negative

Step-by-step explanation:

Solve for x:

3 x + 12 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

3 x + (12 - 12) = -12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

3 x = -12

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = -12 by 3:

(3 x)/3 = (-12)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = (-12)/3

Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.

12/3 = (3×4)/3 = 4:

Answer: x = -4

Answer:

Step-by-step explanation:

The parabola opens downward so a<0

zeros are:  x₁=-1  and x₂=2, so the factors are:

(x - x₁) = [x - (-1)] = (x + 1)

(x - x₂) = (x - 2)

which gives:   - (x + 1)(x - 2)

Answer:

See below.

Step-by-step explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

[tex]f(x)=x^2[/tex]

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

[tex](-\infty,\infty)[/tex]

And the range in interval notation is:

[tex][0,\infty)[/tex]

This is interpreted as all values greater than or equal to 0.

And we're done!

Answer: 14

Step-by-step explanation:

To find the distance, find the difference in the x and y values,square them and add them. Then finally find the square root of the number you got after adding them together.  

-2-(-1)= -1

-8 -6 = -14

-14^2 + -1^2 = d^2  where d is the distance

196 + 1 = d^2

197 = d^2

d= [tex]\sqrt{197}[/tex]  

d= 14.0356     rounded to the nearest tenth is 14.

Answer:

x = -2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS  is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

First, add 4x to both sides:

10 - 4x (+4x) = -9x (+4x)

10 = -9x + 4x

10 = -5x

Isolate the variable, x. Divide -5 from both sides:

-5x = 10

(-5x)/-5 = (10)/-5

x = 10/-5

x = -2

x = -2 is your answer.

~

Answer:

28 ft below the surface.

Step-by-step explanation:

A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?

    You subtract 25 ft from 53 ft leaving you with 28 ft.

      53 ft

   - 25 ft

       28 ft  below the surface  

Hope this helps.

Answer:

23 ^ ( a+b)

Step-by-step explanation:

23^a *23^b

Since the bases are the same, we can add the exponents

23 ^ ( a+b)

Answer:

23^(a+b)

Step-by-step explanation:

A^x*A^y = A^(x+y)

you can think of it like this

A^x = A*A*A*.......*A x times

A^y = A*A*A*....*A y times

therefore A^x * A^y = A*A*A*...*A (x+y) times

=A^(x+y),

so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)

Answer:

C. -24

Step-by-step explanation:

[tex]5k + m \\ k = - 3 \\ m = - 9[/tex]

Plug in values into the given equation

[tex]5( - 3) + ( - 9) \\ - 15 - 9 \\ = - 24[/tex]

Answer:

-24 C.

Step-by-step explanation:

I took the test and got it right