The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

Answer:

y=60x+275

Step-by-step explanation:

the slope would be 60 as it is the rate being charged per hour, the y intercept (b) is the initial y value at x=0 and since the company charges 275 before they do any work, that would be the y intercept.

Answer:

26.16

Step-by-step explanation:

Answer:

[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]

Answer:

[tex]16x+20[/tex]

Step-by-step explanation:

[tex]-4(-4x-5)[/tex]

[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-4(-4x-5)[/tex]

[tex]-4\cdot-4=16[/tex]

[tex]-4\cdot-5=20[/tex]

[tex]=16x+20[/tex]

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

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Hello :) Here is the step by step,

19c+1=39

Subtract 1 from both sides.

19c=39−1

Subtract 1 from 39 to get 38.

19c=38

Divide both sides by 19.

c=  19 /38

Divide 38 by 19 to get 2.

c=2

Answer:

12 miles

Step-by-step explanation:

Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.

Answer:

52%=0.52

319%=3.19

7.9%=0.079

4.5%=80

37/8%=4.652

62/3%=20.67

2. 15 cups

3. 70.4m

4. $12.5

5.

Step-by-step explanation:

52%=52/100=0.52

319%=319/100=3.19

7.9%=7.9/100=0.079

4/5%=(4/5)/100=4/5×100=80

37/8%=4.(5/8)=4.652

62/3%=20.(2/3)=20.67

1 bottle holds 0.65L

1 cup holds 0.26L

6 bottles hold (0.65×6) =3.9L

n cups hold 3.9L

0.26n=3.9

n=3.9/0.26

n=15

30.8m make 7 shirts

ym make 1 shirt

7y = 30.8

y = 4.4m

1 shirt needs 4.4m

16 shirts need 16×4.4=70.4m

0.6kg cost $15

1kg costs $b

0.6b=15

b=$25

1kg costs $25

0.5kg cost (25×0.5)=$12.5

Answer:

48 g - 40 h + 64

Step-by-step explanation:

you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same

Step-by-step explanation:

so, to repeat, the radius r of the circle is 87 cm.

the area of a circle is

pi×r²

so, in our case

A = pi×87² = pi×7569 = 23,778.7148... cm²

so, how to give this answer with only 3 significant figures ?

as you can see, there are already 5 figures before the decimal point.

3 attempts :

1. 3 significant figures after the decimal point : 23778.715 cm²

2. scientific notation with 3 SF : 2.38×10⁴ cm²

3. converting to m² (1m² = 10000cm²) : 2.38 m²

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

========================================================

Explanation:

Let x and y be two positive whole numbers. They may or may not be equal.

The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.

The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.

We can make a handy table to keep track of all the expressions

[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]

Based on that, we can then say:

Effectively, I added down along each column of that table.

Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9

So,

(total red)/(total blue) = 11/9

R/B = 11/9

(3x+3y)/(5x+2y) = 11/9

---------------------

Let's cross multiply and then solve for y

(3x+3y)/(5x+2y) = 11/9

9(3x+3y) = 11(5x+2y)

27x+27y = 55x+22y

27y-22y = 55x-27x

5y = 28x

y = 28x/5

y = (28/5)x

y = 5.6x

We'll keep this in mind for later.

---------------------

Now let:

Recall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.

Also, we had 3y red and 2y blue for the second bag.

So we have S = 3y+2y = 5y

Then we can apply further substitution to say

S = 5y

S = 5(5.6x) .... plug in y = 5.6x

S = 28x

---------------------

In short,

for some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S

F/S = (8x)/(28x) = 8/28 = 2/7

The fraction 2/7 leads directly to the final answer of the ratio 2:7

In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.

The ratio between the total marbles of the first bag and the second bag is 2:7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x marbles in the first bag.

red marbles = 3x

blue marbles = 5x

y marbles in the second bag.

red marbles = 3y

blue marbles = 2y

Now,

Total red marbles in both bags.

3x + 3y = 11 _____(1)

3x = 11 - 3y

x = (11 - 3y) / 3

Total blue marbles in both bags.

5x + 2y = 9 ______(2)

From (1) and (2) we get,

Multiply 2 in (1).

6x + 6y = 22

6y = 22 - 6x _____(3)

Multiply 3 in (2)

15x + 6y = 27 ______(4)

Putting (3) in (4)

15x + 22 - 6x = 27

9x = 27 - 22

9x = 5

x = 5/9

Now,

x = 5/9 in (3)

6y = 22 - 6(5/9)

6y = 22 - 10/3

6y = (66 - 10)/3

y = 56/18

y = 28/9

Now,

First bag.

Red marbles = 3x = 3 x 5/9 = 5/3

Blue marbles = 5x = 5 x 5/9 = 25/9

Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9

Second bag.

Red marbles = 3y = 3 x 28/9 = 28/3

Blue marbles = 2y = 2 x 28/9 = 56/9

Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9

Now,

The ratio between the total marbles of the first bag and the second bag.

= 40 :140

= 4:14

= 2:7

Thus,

The ratio is 2:7.

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Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

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The circumference of this circle to the nearest tenth is equal to 43.1 feet.

Given the following data:

To determine the circumference of this circle to the nearest tenth:

Mathematically, the circumference of a circle is given by the formula:

[tex]C = 2\pi r[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]C = 2 \times 3.14 \times 6.87[/tex]

Circumference = 43.1 feet.

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Answer:

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

Answer:

+29 C

Step-by-step explanation:

If we find the distance between both numbers on  number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C

Answer:

maybe (-3,-4)?

Step-by-step explanation:

Answer:

8 gumballs 3 jaw breakers or the required inequality expression is

0.50g + 0.30j ≤ 3

Step-by-step explanation:

welcome...

Answer:

answer is 121.5

Step-by-step explanation:

Answer:

121.5

Step-by-step explanation:

first make 13 1/2 into a mixed fraction which is 27/2 then multiply by 9/1 you should get 243/2 and once you divide, you should have 121.5

Here,

(-1, 4) = (x₁ , y₁)

(-6, -5) = (x₂ , y₂)

Slope = rise/run

Slope = y₂ - y₁/x₂ - x₁

Slope = -5 - 4/ -6 + 1

Slope = -9/-5

Slope = 9/5

_____

Hope it helps ⚜

Answer:

87

Step-by-step explanation:

difference = 7

A1 = 3

so let's imagine this arithmetic sequence as

3, 10, 17, 24 etc....

mathematically the sequence can be described as

An = a1 + (n - 1) d

A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87

Answer:

5861698830

Step-by-step explanation:

Answer: where’s the question

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.

Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5