A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

Answer:

4

Step-by-step explanation:

4.00 divided by 1.00 = 4

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

Answer: 500

Step-by-step explanation:

The remainder of the question is:

How many units does the company need to sell to reach the target profit?

The required sales to break even will be calculated as:

= (Fixed cost + Required profit) / ( Price per unit - Variable cost)

= (120000 - 80000) / (100 - 20)

= 40000/80

= 500

The company needs to sell 500 units.

Answer:

c

Step-by-step explanation:

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

Answer:

C.

Step-by-step explanation:

Answer:

I think it would be -2 if it has a negative charge

Step-by-step explanation:

Answer:

her 22 him 66

22 years later her 44 and him88

Step-by-step explanation:

she hase to be 18 or older, but 22 works

so 22 x 3 = 66 he is 3 x older

him 66 +22=88 ,her 22+22= 44 x2 =88

Each pound is 1.75 so if you multiply that by 8 you get $14

Answer is $14

Answer:

mmmmmmmmm sus

Step-by-step explanation:

First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!

Answer:

this is it

Step-by-step explanation:

i hope it doesn't crop out and that it helps

Answer:

Step-by-step explanation:

   900000

+18765439

=27765439

Answer is 27765439

Answer:

A or D

Step-by-step explanation:

Answer: Hello this is my first time answering!  

DA= 4.5

CB=4.5

XY=9

If YZ=8 then CD=4

Perimeter of trapezoid ABCD=19

Perimeter of trapezoid WXYZ=38

Step-by-step explanation:

I am almost positive the scale is 0.5/1 this means that for DA it would be 4.5.  Of course, if DA was 4.5 then so would CB.  Everything is half of the second trapezoid.  

Thanks!

Answer:

1. 4.5

2. 4.5

3. 9

4. 4

5. 19

6. 38

Step-by-step explanation:

Hope this helps!???

Answer:

79.6875 % If you can round, please do.

Step-by-step explanation:

Answer:

Sales tax = 2249.1

$ 2249.10

Step-by-step explanation:

Answer:

I think the answer is D.

Step-by-step explanation:

thats what i think at least

Answer:

D. y = 3square root of x

Step-by-step explanation:

2. 8 x 43 = 344

8 x 43 = 8 (40 + 3)

8 x 43 = 320 + 24

3. 6 x 532 = 3192

6 x 532 = 6 (500 + 30 + 2)

6 x 532 = 3000 + 180 + 12

4. 5 x 923 = 4615

5 x 923 = 5 (900 + 20 + 3)

5 x 923 = 4500 + 100 + 15

I hope this helps :)

Answer:

875

Step-by-step explanation:

Answer:

Simply line it up and divide it.

Then you get the answer:

875

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Answer:

Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.

Step-by-step explanation:

Answer:

It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.

Step-by-step explanation:

The value of the quadratic expression (x - 4)² + 4 will be always positive.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic expression is given below.

⇒ x² - 8x + 20

Convert the expression into a vertex form, then we have

⇒ x² - 8x + 16 + 4

⇒ (x² - 2 · x · 4 + 4²) + 4

⇒ (x - 4)² + 4

Thus, the value of the expression (x - 4)² + 4 will be always positive.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

Answer:

Domain: [tex]0\leq x\leq 6[/tex]

Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]

Step-by-step explanation:

Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.

[tex]x[/tex] be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].

So, the function will be

[tex]y=f(x)=72-12x[/tex]

at

[tex]x=0,y=72[/tex]

[tex]x=1,y=72-12\times 1=60[/tex]

[tex]x=2,y=72-12\times 2=48[/tex]

[tex]x=3,72-12\times 3=36[/tex]

[tex]x=4,72-12\times 4=24[/tex]

[tex]x=5,72-12\times 5=12[/tex]

[tex]x=6,72-12\times 6=0[/tex]

Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].

Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].

Answer:

a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore given as follows:

You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.

a. Should the cost of service and insurance determine which option you choose?

A. Yes, because you probably don't have to pay for services when you buy the car.

B. No, because it is cheaper to lease the car than to buy it.

C. No, because you will probably have to pay for service and insurance with either plan.

D. Yes, because you get a discount on your insurance when you lease the car.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)

B. No, the total cost of the car at the end of the lease is $___(fill in the blank)

c. What are some possible advantages of leasing the car?

A. You can sell the car whenever you want and you can make money on the car when you sell it.

B. The insurance costs less and you get a service discount.

C. You can give the car back whenever you want and you can get a new car whenever you want.

D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

The explanation of the answer is now provided as follows:

a. Should the cost of service and insurance determine which option you choose?

No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.

Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

From part a above, it is stated that the cost of service and insurance should not determine which option to choose.  Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.

This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.

Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:

Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400

Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. What are some possible advantages of leasing the car?

Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.

Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

For an interior angle of 100°, we have;

[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

Step-by-step explanation:

1. 0

2. 42

3. 80

4. 48

5. 250

6.64

7. 90

8. 180

9. 42

is that answer able?

Step-by-step explanation:

do you want the answer to those questions or is it just one question built in with those

Answer:

A. Reflection

Step-by-Step Explanation:

you're reflecting the line across the x-axis, and that transforms f(x) into g(x).