**Answer:**

In decimal form:

-0.875

**Step-by-step explanation:**

-7 divided by 8 = -0.875

-0.875 is another way

Solving a System of Linear Inequalities

Given the system of inequalities:

4x - 5y = 1

Which shows the given inequalities in slope-intercept

form?

Slope is 4/5

Y intercept is 0,-1/5

Y intercept is 0,-1/5

**Answer:**

y = 4/5x -1/5

**Step-by-step explanation:**

4x -5y = 1

-5y = -4x + 1

5y = 4x - 1

y = 4/5x - 1/5

2. Manny wants to rent a movie. Each movie costs $1 to rent. The function f(x) = X

represents this situation. Explain what x and f(x) represent in this situation."

x is the amount of movies and f(x) is total cost

How many times greater is the product of 4 x 300 than the product 4 x 30

**Answer:**

10 times bigger

**Step-by-step explanation:**

because if you do 4 times 300 thats 1200

and if you do 4 times 30 then you get 120

and 120 times 10 is 1200 so there you go.

HOPED THIS HELPED!!!!!!!!! :D

Please help it would help me alot!!!

**Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23 **

**Step-by-step explanation:**

In a population of 271 Dd parrots, predators kill 55. What is the approximate fitness of the genotype?

Fitness of Dd: 20%

Fitness of Dd: 40%

Fitness of Dd: 60%

Fitness of Dd: 80%

**Answer:**

60%

**Step-by-step explanation:**

They killed quite a bit and a lot were left.

At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager

**Step-by-step explanation:**

The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.

Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].

**Fraction form of probability: 10/15**

**Decimal form: 0.6 repeated**

**Percent form: about 66.67%**

The **probability **that person is either a **lifeguard** or **manager **is 2/3.

**Probability **refers to potential. A **random event's occurrence **is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The **degree** to which **something** is likely to **happen **is basically what probability means.

We have,

There are 2 **managers **8 lifeguards 3 concession stand clerks and 2 maintenance people.

**Total** = 2 + 8 + 3 + 2 = 15

So, P(lifeguard) = 8/15, P(Manager) = 2/15.

Then, P ( lifeguard or Manager)

= 8/15 + 2/15

= 10/15

= 2/3.

Learn more about **Probability **here:

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Factorise fully

-14x - 8

ease do quick, will mark brainiest!

**Answer:**

-2( 7x+4)

**Step-by-step explanation:**

-14x - 8

Factor out -2

-2*7x -2*4

-2( 7x+4)

**Answer:**

**Step-by-step explanation:**

[tex] - 14x - 8[/tex]

**Wri****te**** ****-****8**** ****as**** ****-****4****×****2**

**[tex] - 14x + 2 \times 4[/tex]**

**Fac****tor**** ****ou****t**** ****comm****on**** ****term**** ****:**** ****2**

**[tex]2( - 7x - 4)[/tex]**

Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?

**Answer:**

18%

**Step-by-step explanation:**

24-18% is 19.68 which means it took away $4.32.

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

**Answer:**

[tex]f(0)=-2\\f(1)=e-1[/tex]

**Step-by-step explanation:**

According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

[tex]f(x)=e^x-3+2x[/tex]

Put [tex]x=0[/tex]

[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]

Put [tex]x=1[/tex]

[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]

The price for a new car, without sales tax, is

$18,900. The buyer must also pay a 5% state

sales tax. What is the cost of the car includ-

ing the sales tax?

Answer:

Step-by-step explanation:

18900 divided by 10 = 1890

1890 divided by 2 is 945

945 is 5 percent of 18900

18900 + 945 = 17955

Answer = 19845

Answer : $19,845

5% of 18,900

= 945

The price for the car

= $18,900

$18,900 + 5

= $19,845

5% of 18,900

= 945

The price for the car

= $18,900

$18,900 + 5

= $19,845

Write 1/8% as a decimal number Enter your number in the box

**Answer:**

it is 0.125

**Step-by-step explanation:**

......................

In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the

angle and the coordinates of a point that lies in the exterior of the

angle.

A(-5,0)

B(-1,-4)

C(4,2)

**Answer:**

A.

**Step-by-step explanation:**

The weekly demand function for x units of a product sold by only one firm is

p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

**Answer:**

**a**) **x = 798 is the quantity that maximizes the profit**

**b)po(x) = 401 $/unit**

**c)P(max ) = 636105 $**

**Step-by-step explanation:**

**The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:**

**R(x) = p(x) * x**

**R(x) = ( 800 - 0,5*x ) * x**

**R(x) = 800*x - 0,5*x²**

**The equation for the profit is:**

**P(x) = R(x) - C(x)**

**P(x) = 800*x - 0,5*x² - ( 300 + 2*x)**

**P(x) = 798*x - 0,5*x² - 300**

**a) P(x) = 798*x - 0,5*x² - 300**

**Taking derivatives on both sides of the equation:**

**P´(x) = 798 - x **

**If P´(x) = 0 then 798 - x = 0**

**x = 798 is the quantity that maximizes the profit**

**b) Selling price for the optimal quantity is:**

**p(x) = 800 - 0,5*x**

**p(x) = 800 - 0,5* 798**

**po (x) = 800 - 399**

**po(x) = 401 $/unit**

**c) Pmax = ?**

**P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798**

**P(max) = 636804 - 399 - 300**

**P(max ) = 636105 $**

a) The **quantity that will maximize profit is **[tex]100 \ units[/tex]**.**

b) The **selling of at this optimal quantity is **[tex]\[/tex][tex]750[/tex]** per unit.**

c) So, **the maximum profit is **[tex]\[/tex][tex]25000[/tex]**.**

A demand function is a** mathematical equation** that **expresses** the **demand for a product or service** as a **function of its price** and other factors such as the **prices of the substitutes** and **complementary goods, income, etc.**

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

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Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?

A 1/4 second

B 1/2 second

C 2 seconds

D 4 seconds

**Answer:**

**Letter B**

**Step-by-step explanation:**

**Answer:**

I belive the answer is B

**Step-by-step explanation:**

PLZ HELP !!

Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

**Answer:**

The final balance is $1,692.94.

The total compound interest is $392.94.

**Step-by-step explanation:**

1,300 x 0.045=___ x 6

Which of the following is a true statement?

6/9 = 1/3

1/4 > 1/3

13/15 > 4/5

5/6 > 10/12

**Answer:**

13/15 > 4/5 is a true stament.

**Step-by-step explanation:**

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

How can you use a number line to find the sum of -8 and 9?

**Answer:**

The answer is 1

**Step-by-step explanation:**

If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.

**Answer: x = 2**

** **If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.

**Step-by-step explanation:**

**Initial calculations** to find a starting value for **w.**

Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.

The length of the arc is half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd, a = πw/2

Three sides of a rectangle (presumably a square for the initial calculation) 3w

Initial equation: 3w + πw/2 = 8 Substitute 3.14 for π and solve for w

2(3w) + 2(3.14w/2) = 2(8) multiply all terms by 2 to eliminate denominator

6w + 3.14w = 16 combine like terms

9.14w = 16 divide both sides by 9.14

**w ≈ 1.75 **

Calculate the area using this value:

Area of semicircle: πr²/2 r= 1.75/2

3.14(.875)²/2 ≈ 1.203

Area of rectangle 1.75 × 1.75 = 3.0625

Total Area with width 1.75 : 4.265 ft²

Increasing the width to 2

The length of the arc becomes 3.14 This is twice the area of the semicircle.

3.14/2 = 1.57

The height of the rectangle reduces to 1.43

1.43 × 2 = 2.86

**Total area with width of 2 ft 2.86 + 1.57 = 4.43 ft²**

**So 2 ft seems to be the optimal width.**

A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.

**Answer:**

$930.76

**Step-by-step explanation:**

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

PLEASE HELP! 6TH GRADE MATH please write done what number you're doing

**Answer:**

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

**Step-by-step explanation:**

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

**Answer:**

Hey your answers on there are correct.

**Step-by-step explanation:**

Find the equation of a line passing through the point (6,9) and (0,0)

**Answer:**

y=3/2x

**Step-by-step explanation:**

The **equation **of the required **line **as per **slope-intercept form **is 3x - 2y = 0.

The **equation of a line** that passes through **points **(x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the **slope **and 'c' is the** y-intercept** of the given line.

Therefore, the **slope of a line** that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a **line **is y = mx + c. Here, 'm' is the **slope **and 'c' is the **y-intercept **of the **line**.

The **line **passes through the **point **(0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the **equation of the straight line** is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

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fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .

**Answer:**

the answer is D

**Step-by-step explanation:**

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?

Please include algebraic equation and answer.

**Answer:**

81

**Step-by-step explanation:**

What is 1.6 + 4x > 14.

**Answer:**

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

**Step-by-step explanation:**

What is the slope of y-5= 3x + 4?

**Answer:**

x=53

y=19

**Step-by-step explanation:**

3x + y-5

3(5)=15

15+y

Which transformation of a shape may result in a new shape not congruent with the original shape?

O dilation

O reflection

O rotation

O translation

**Answer:**

dilation

**Step-by-step explanation:**

dilation will make the shape larger or smaller which will change the shape.

Which number has the same absolute value

as 8

**Answer:8**

**Step-by-step explanation:**

how many inches of lumber are remaining?

**Answer:**

I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.

**Step-by-step explanation: How we would solve this problem is simple.**

**6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).**

400 reduced by twice my age is 68 how old am i

hope it helps.........

The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25

**Answer:**

B C A

**Step-by-step explanation:**

if you can guess my middle name will mark Brainlyest. hint one: named after a British toffee hint two: it starts with a h
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Create a TeeShirt class for Tobys Tee Shirt Company. Fields include: orderNumber - of type int size - of type String color - of type String price - of type double Create set methods for the order number, size, and color and get methods for all four fields. The price is determined by the size: $22.99 for XXL or XXXL, and $19.99 for all other sizes. Create a subclass named CustomTee that descends from TeeShirt and includes a field named slogan (of type String) to hold the slogan requested for the shirt, and include get and set methods for this field.
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If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
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