A company makes pencils. they sell each pencil for $10.
Their revenue is represented by R= 10x
The cost to make the pencils is $3 each with a one time start up cost of $5000.
Their cost is represented by C= 3X+5000

1.Find the profit, P, (P=R-C) when the company sells 1000 pens.
2. Find the number of pens they need to sell to break even ( when R=C)

Answer: 164 degrees

Step-by-step explanation:

IHG=JHG+IHJ

19x-7=84+7x+17

19x-7=101+7x

12x-7=101

12x=108

x=9

IHG=19x-7

IHG=19(9)-7

IHG=171-7

IHG=164 degrees

Answer: See attached

Step-by-step explanation:

[tex]\implies[/tex]The answer is Adjacent and Complementary.

Answer:

To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:

0.514=5.14×10

−1

Answer:5.14

Step-by-step explanation:

The value of 'x' for the given expression is calculated as (x = 48).

A linear equation in one variable is an equation that has only one solution.

Now, for the given expression;

(3x-5) + (x+1) = 180

Open the brackets.

3x-5 + x+1 = 180

Add the similar parts;

4x - 4 = 180

Further simplifying;

4x = 180 + 4

4x = 184

x = 184/4

x = 48

Therefore, the value of 'x' is estimated as 48.

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Answer:

The answer is commutitve

The next score should by less than 84 to have an average below 88.

The term average is the sum of all the numbers divided by the total number of values in the set.

Mathematically,

Average = Sum of the observations/number of observations

Now given that,

Scores = 92, 88, 85, 90, and 89

Rounds = 5

Let x be the score the score for next round or sixth round.

So, According to question,

Average < 88

So, Average = Sum of the scores/number of rounds

⇒  Average = (92 + 88 + 85 + 90 + 89 + x)/6

⇒  Average = (444 + x)/6

⇒ (444 + x)/6 < 88

⇒ (444 + x) < 528

⇒ x < 528 - 444

⇒ x < 84

Thus, the next score should by less than 84 to have an average below 88.

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The Actual area of the dining room is: 252 square feet.

Given that the area of the house on a blue print = 7 square inches.

Scale of the blue print = 1 inch : 6 feet.

Therefore, we would have the following proportion:

Area on blue print/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

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Answer: Actual area (252 square feet).

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

x=62 bec 180-118=62.

Step-by-step explanation:

180=118-x

180-118=x

x=62

y= 1/16 is the solution of the equation  where y is [tex]e^{-2ln4}[/tex]

The expression is given to be [tex]e^{-2ln4}[/tex]

The formula is given to be [tex]e^{lnx} =x\\[/tex]

also it is given that ln[tex]e^{x}[/tex]=x

Now to find and evaluate [tex]e^{-2ln4}[/tex]

let y=[tex]e^{-2ln4}[/tex]

taking ln both sides,

ln y = ln[tex]e^{-2ln4}[/tex]

ln y= -2 ln4

ln y= ln 4^-2

Removing ln from both sides,

y = 4^-2

y=1/16

Thus , y= 1/16 is the solution of the equation

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Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:

(3 / 5) · x = x - 25 / 35 - 1 / 7

(3 / 5) · x = x - 25 / 35 - 5 / 35

(3 / 5) · x = x - 20 / 35

x - (3 / 5) · x = 20 / 35

(2 / 5) · x = 20 / 35

7 · x = 10

x = 10 / 7

And the amount of snack used is determined by the following subtraction:

z = (2 / 5) · (10 / 7)

z = 20 /35

z = 4 / 7

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

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Answer:

A? maybe because its (5 +6)+7=5

hope it will help

Answer:

The answer is A.

Step-by-step explanation:

a+b=c+d

Given the expression,

11 + 7 = 5 + 13, where a= 11

b= 7

c= 5

d= 13

From the options, taking option A:

(5 + 6) + 7 = 5 + (6 + 7)

5 + 6= 11= a

7 = 7= b

5 = 5= c

6 + 7 = 13= d

Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

By solving a system of equations, we can see that the adult ticket costs $10.

Let's define the two variables:

With the given information, we can write a system of equations:

1*x + 6*y = $52

1*x + 8*y = $66

By taking the difference between the two equations we get:

(1*x + 8*y) - (1*x + 6*y) = $66 - $52

2y = $14

y = $14/2 = $7

Now that we know the value of y, we can find the value of x.

Replacing the value of y in the first equation we get:

1*x + 6*$7 = $52

x = $52 - 6*$7 = $10

With this, we know that the adult ticket costs $10.

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Answer:

350

Step-by-step explanation:

Answer:

70 days

Step-by-step explanation:

Given that,

→ fresh fruit to last 10 days

→ fresh vegetables for 7 days

→ dried insects for 5 days

Then in how many days will they order all three items on the same day?

Then the LCM of 10, 7 & 5 is,

→ 2 × 5 × 7

→ 10 × 7 = 70

Hence, the answer is 70 days.

Answer:

It would be 1333/1000.

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

Answer: 21

Step-by-step explanation:

Use a calculator

The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

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Answer:

A: [tex]b < \frac{3}{2}[/tex] and the second equation is: [tex]b > \frac{1}{3}[/tex]

B: [tex]x > \frac{1}{6}[/tex] and the second equation is: [tex]x < 2[/tex]

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Hope this helps!

Have a great day and God bless! :)

The number sold at the original price is 27 and they sold 64 at the reduced price.

Let x = number of pieces sold at 13.50

Let y = number of pieces sold at 9.50

The equation will be:

x + y = 91. ..... i

13.50x + 9.50y = 972.50 ..... ii

From equation i x = 91 - y

13.50x + 9.50y = 972.50

13.50(91 - y) + 9.50y = 972.50

1228.50 - 13.50y + 9.50y = 972.50

1228.50 - 4y = 972.50

4y = 1228.50 - 972.50

4y = 256

y = 256/4

y = 64

Since x + y = 91

x = 91 - 64 = 27

Therefore, the number sold at the original price is 27 and they sold 64 at the reduced price.

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Answer:

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Answer:

89.50 = 7.75 + 27.25p

subtract 7.75 from both sides

89.50 - 7.75 = 27.25p

81.75 = 27.25p

divide both sides by 27.25

p = 81.75 / 27.25

p = 3

Step-by-step explanation:

The number of people who can go to the amusement park is 3 people

Answer: p=3

Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p

Step-by-step explanation:

89.50=7.75+27.25p

89.50-7.75+27.25p

81.75=27.25

81.75/27.25

p=3

Answer:

1/6

Step-by-step explanation:

30+20= 50

200+100= 300

you divide 50÷300 and you get 1/6

Answer:

94.8

Step-by-step explanation:

supplementary angle = 180°

180 - 85.2 = 94.8

Answer: 47.4 degrees

Step-by-step explanation:

A=measure of angle

S=Angle A's supplementary angle

Supplementary Angle=180 degrees

A+85.2=S

A+S=180

A+A+85.2=180

2A+85.2=180.0

2A=94.8

A=47.4 degrees

The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.

What is the area of a rectangle?

A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.

Calculating the area of a rectangular garden in terms of a function in x

Let us consider a variable x that denotes the length of a rectangular garden

Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden

Perimeter = 2×(length + breadth)

88 = 2(x + y)

44 = x + y

y = 44 - x

Area of a rectangular garden = xy

= x(44 - x)

= 44x - x² sq. ft

Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.

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