You are renting some tables for a party and have to choose between two different rental companies. The first charges $15 per table. The second charges $40 plus $11 per table. Based on this information , the second company is cheaper if you rent more than _____ tables.

Answer: 2+3

Step-by-step explanation:

Answer:

Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.

In this case, -3 and -2 are integers that are being added.

if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change

thus, (-3)-2 = -5

Answer:

[tex]A=81\pi $ m^2[/tex]

Step-by-step explanation:

Circumference of the column [tex]=18\pi $ meters[/tex]

Circumference of a circle[tex]=2\pi r[/tex]

Therefore:

[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]

Area of a Circle [tex]=\pi r^2[/tex]

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

[tex]=\pi *9^2\\=81\pi $ m^2[/tex]

Answer:

81pi

Step-by-step explanation:

Answer:

n²+6n

Step-by-step explanation:

n(6 + n) = 6n+n²= n²+6n

Answer:

no solution

Step-by-step explanation:

Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.

In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.

If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.

Let's assume the system of equations is represented as follows:

Equation 1: x + y = -8

Equation 2: 2x + 2y = -16

Substituting (-4, -4) into the equations:

Equation 1: -4 + (-4) = -8 (True)

Equation 2: 2(-4) + 2(-4) = -16 (True)

Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).

Learn more about Solution System here:

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The complete question is, "Based on this work, what is the solution to the system?

a. (-4, -4)

b. (0, 0)

c. no solution

d. infinitely many solutions"

Answer:

[tex]31.5\pi[/tex]

Step-by-step explanation:

Using the formula given, you can find that the surface area of the glass is:

[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]

Hope this helps!

Question:

Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?

Answer:

3 + 2i

Step-by-step explanation:

Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)

[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)

The complex number representation of [tex]\sqrt{-1} = i[/tex]  and [tex]\sqrt{4} = 2[/tex]

Make these substitutions into equation ( 2)

[tex]y = 3 +2i\\[/tex] is in the form a + bi

Where a = 3 and b = 2

Answer:

because each side has a different value making that = sign false

Step-by-step explanation:

Answer:

It is false.

Step-by-step explanation:

If you calculate the sum, you get 6.5 = 10.

6.5 does not equal ten. If you need me to go further in depth, let me know!

Answer:

idk

Step-by-step explanation:

i don't see any statements jsjsjsjsjsjs

Answer:

3383361889.8

Step-by-step explanation:

1 meter = 39.3701 inches

85937392 x 39.3701 = 3383361889.8

Answer:

3,383,361,889.76 inches

Step-by-step explanation:

1 meter = 39.37 inches

multiply 85937392 by 39.37

answer is 3383361889.76

The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y

From the question, we have the following parameters that can be used in our computation:

6x - 2x + 8y - 6y

Collect the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y

Evaluate the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 4x + 2y

Hence, the simplified expression is 4x + 2y

Read more about expressions at

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Answer:

a = -1,6 b = 1,11 c = 4,11 .

Answer:

The equation is 20 + 15x. Bill took 7 lessons.

Step-by-step explanation:

Let x represent the number of lessons Bill take. Then,

the total cost = materials fee + (each lesson cost).x

Since the materials fee is $20 and each lesson costs $15

The total cost = 20 + 15x

Since Bill's total cost was $125:

→ 125 = 20 + 15x

→ 105 = 15x

→ x = 7

Answer: 6 to 24

Step-by-step explanation:

Answer:

This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.

Answer:

He saves £135 each week

Step-by-step explanation:

He spends 2/5 of his wage on food

2/5x450=£180

He spends 180£ on food each week

30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills

so his total expenditure is 135+180= £315

he saves the rest which is £135.

thus, your answer is £135

Answer:

a) -x(4[tex]x^{2}[/tex] -x +1)

b) 4[tex]x^{3}[/tex] (x-1)

c) -12[tex]x^{2}[/tex] - 3x + 3

Step-by-step explanation:

Most of it is really just a matter of substituting expressions in. here's how i did it:

f(x) = x-1

g(x) = 4[tex]x^{2}[/tex]

a) (f-g) x [tex]x[/tex]

= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]

= x(- 4[tex]x^{2}[/tex]+x-1)

= -x (4[tex]x^{2}[/tex] - x + 1)

*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.

b) (fxg) x [tex]x[/tex]

= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]

= 4[tex]x^{3}[/tex] (x-1)

*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]

c) (f+g) x -3

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

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

= -12[tex]x^{2}[/tex] - 3x + 3

*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate

Hope that helped : )

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)

Answer:

C and D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

we want to find f(2)

f(x) = 2x+1

Let x=2

f(2)= 2*2+1

     = 4+1

    =5

Answer: Krista put 0.40 in the first equation meant for the number of stamps

Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.

The system of equations should have been,

x + y = 45 ----------(1)

0.40x + 0.55y = 18.75 ----------(2)

From equation (1), let x be the subject of the equation and hence x = 45 - y

Substitute for the value of x into equation (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

When y has been calculated as 5, substitute for the value of y into equation (1)

x + y = 45

x + 5 = 45

x = 45 - 5

x = 40

The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.

This answer could not have been derived due to the mistake Krista committed when writing the equations.

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Answer:

825 people

Step-by-step explanation:

In the City where the election came up, 33% of the eligible voters voted

It is observed that there are 2500 eligible voters approximately.

The people who voted in 2012 is =

33/100 * 2500

=825 People

In 2012, the total number of people who voted in the city is 825 people

Answer:

Yes, but no

Step-by-step explanation:

So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.

Hope this helps you

Answer:

Objective function:

Maximize profit P = [tex]35x+28y[/tex]

subject to following constraints:

[tex]x\geq 900\\y\geq 600[/tex]

[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]

Step-by-step explanation:

Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.

Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.

To find: objective function for the given situation

Solution:

Let x tons be used to make a milk container and y tones be used to make a soda container.

As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,

[tex]x\geq 900\\y\geq 600[/tex]

Also, as the recycling plant can process up to 2000 tons of plastic a week,

[tex]x+y\leq 2000[/tex]

Also, [tex]x\geq 0\,,\,y\geq 0[/tex]

Objective function:

Maximize profit P = [tex]35x+28y[/tex]

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

Answer:

£2,450

Step-by-step explanation:

What we want to do here is calculate the total amount spent on his birthday in £

We already have some costs in pounds, it is the costs not in pounds we are converting.

Flights already in pounds, no conversion

Hotel $105 per night at 14 days

Total here is 14 * 105 = $1470

Wifi cost at $4 per day for 13 days

Total here is 13 * 4 = $52

Total amount spent in dollars alone is $1470 + $52 = $1522

We try and covert this to pounds

$1.45 = £1

$1522 = £x

We simply cross multiply at this point

x = 1522/1.45 = 1049.65 which is approximately £1050

Total amount spent in £ is thus 1050 + 1400 = £2,450

Answer:

£2449.65

Step-by-step explanation:

105 × 14 = $1470

1470 ÷ 1.45 = £1013.79

13 × 4 = $52  

52 ÷ 1.45 = £35.86

£1013.79 +  £35.86 = £1049.65

£1049.65 + 1400.00 = £2449.65

The total cost was £2449.65