which relation represents a function?

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.

Answer:

hello your question is incomplete below is the complete question

To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount  Dean ended up paying for the equipment ( including the down payment and monthly payments )

answer: $15309.12

Step-by-step explanation:

Initial cost of equipment = $14500

Down payment = $1800

cost of equipment = 14500 - 1800 = $12700

Monthly payment = $562.88

Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12

Total amount paid by Dean for the equipment

= down payment + monthly payments

= $1800 + $13509.12

= $15309.12

Given:

In an office, there are 75 women and 125 men.

To find:

The ratio of the number of men to the number of women.

Solution:

We have,

Number of men = 125

Number of women = 75

The ratio of the number of men to the number of women is:

[tex]\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}[/tex]

[tex]\text{Required Ratio}=\dfrac{125}{75}[/tex]

[tex]\text{Required Ratio}=\dfrac{5}{3}[/tex]

[tex]\text{Required Ratio}=5:3[/tex]

Therefore, the ratio of the number of men to the number of women is 5:3.

Answer:

$46.5

Step-by-step explanation:

Let X be the original price.

0.3X=13.95, X=13.95/0.3, X=46.5.

Answer:

18.135

Step-by-step explanation:

13.95×30/100=4.185

13.95+4.185=18.135

Answer: 14



Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.

Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.

The final total says 14. That gives us the following:

6 + x/3 = 14

Answer:

(0,-3)

Step-by-step explanation:

the y intercept is when x =0

Answer:

Step-by-step explanation:

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.

Answer: $78.12

Step-by-step explanation:

First find the tip to be paid on the pretax amount:

= 63 * 18%

= $11.34

Then find the tax to be paid:

= 63 * 6%

= $3.78

Add the tip and the tax to the pretax bill:

= 63 + 11.34 + 3.78

= $78.12

Answer:

20a²b-8ab= 4ab(5a -2b)

Answer:

700

Step-by-step explanation:

The ratio of cats to dogs was 3:7

Divide 300 by 3

=100

multiply 100 and 7

=700

Step-by-step explanation:

let common ratio be x

3x + 7x = 300

10 x = 300

x = 300/10= 30

there common ratio x is 30

3 x 30 =90 cats

7 x 30 = 210 dogs

Answer:

y<13/2

Step-by-step explanation:

5y+4<3y+17

5y-3y<17-4

2y<13

y<13/2

Answer:

y < [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

a) 4x 12+n = There are no like terms )

b) (4x12) +n = There are no like terms )

c) 4x (12+ n)  = 4nx+48x

d) 4+ (12 x n) =12nx+4

( I hope this was helpful ) >;D

Answer:

Since it's passed down on the X chromosome, red-green color blindness is more common in men. This is because: Males have only 1 X chromosome, from their mother. If that X chromosome has the gene for red-green color blindness (instead of a normal X chromosome), they will have red-green color blindness.

Answer: 162

Step-by-step explanation: The formula is 1/2d^2

1/2 = 0.5 18^2 = 324 324 x 0.5 = 162

Answer:

not a polygon

Step-by-step explanation:

The given figure is not a polygon.

A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices.

Given is figure,

We know that, a polygon is made up of straight lines connected with each other in a close circuit.

Here, in the figure, there is no polygon, but two polygons joined by a vertex.

Hence, we can say that the given figure is not a polygon.

For more references on polygons, click;

https://brainly.com/question/24464711

#SPJ2

Answer:

58.17 seconds

Step-by-step explanation:

48.47 + 9.7 = 58.17

Answer:

38.77 seconds

Step-by-step explanation:

Given that,

Kim finished a race in 48.47 seconds.

This is 9.7 seconds faster than her practice time.

We need to find Kim's practice time.

Finished time =  9.7 + (practice time)

i.e.

Practice time = (Finished time-9.7)

= 48.47 - 9.7

= 38.77 seconds

Hence, the practice time is 38.77 seconds.

Answer:

c

Step-by-step explanation:

Answer:

12.57

Step-by-step explanation:

Answer:

4in² cake

Step-by-step explanation:

Given the function W (x)=0.5x^2 gives the number of servings of a wedding cake that can be obtained from a two layer X inch square wedding cake tier, to get the size needed to serve 8 people, we will substitute W(x) = 8 into the expression and find x as shown;

W(x)=0.5x^2

8 = 0.5x^2

8/0.5 = x^2

8*2 = x^2

16 = x^2

Rearrange

x^2 = 16

x = √16

x = 4 in²

Hence the size of the wedding cake needed to serve 8 people is 4in² cake

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer:

6

Step-by-step explanation:

100/4 = 25%

24/4 = 6

Answer:

2.6 million

have a good day!

Answer:

tis equation is invalid..

Step-by-step explanation:

3 over 5 (2^) + 4 x 3 - 2 =

(2^) ??

Answer:

Step-by-step explanation:

the Pythagorean Theorem.

A^2 + B^2 = C^2

In this case, A = 13 and B = 5. C = length of ladder.

13^2 + 5 ^2 = c^2

169 + 25 = 194

194 = c^2

square root both sides and you get:

c = 13.9

Answer:

x = ±6 or [tex]\sqrt{36}[/tex]

you just take the square root of 36 to find one x

Answer:

110

Step-by-step explanation:

Let the three numbers be 100, 110 and 120

100 + 110 + 120 = 330

Total numbers = 3

[tex]mean = \frac{330}{3} = 110 \\ [/tex]

Answer:

x = 8

Step-by-step explanation:

44x = 432

divide both sides by 44

[tex]\frac{44x}{44} = \frac{432}{44}[/tex]

x = 9.8

since 8 is the closest number, that would be your answer

Answer:

Step-by-step explanation:

3 × (4 + 5) - 6 = 21

4 × (3 + 2) - 8 = 12