1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inn [45]
3 years ago
13

On ITV's Homework Hotline, it's time for "Rudolf's Rules." If you guess what rule Rudolf is using you get a prize. Someone puts

golf balls into a miniature-golf display called Rudolf, then Rudolf sends back a certain number of golf balls. Today Rudolf gets 8 balls and sends back 6. Next Rudolf gets 15 and sends back 27. When he gets 25, 57 are returned. If n represents the number of balls initially given to Rudolf, write an expression to represent how many balls he sent back.
Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:

y = 3x -18 ( where y =  balls sent back by Rudolf; x= balls  given to Rudolf)

Step-by-step explanation:

x (Balls given)       y( Balls sent back)

8                             6                    Δy/Δx  = (27-6)/(15-8) =  3

15                            27

25                           57                 Δy/Δx  = (57-27)/(25-15) =  3

Observing the number sequence shows constant gradient and as such we can use equation of a straight line to relate the two variables.

Using the equation of a straight line we have:

(y-y1)/(x-x1) =  (y2-y1)/(x2-x1)

y-6/x-8  =       (27-6)/(15-8)

y-6/x-8  =    3

y-6        =  3(x-8)

y-6  = 3x - 24

y = 3x-18

You might be interested in
Does it matter if you add azero when you divide a dcimal.
Brilliant_brown [7]
No, it won't change the outcome.
3 0
3 years ago
Read 2 more answers
The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

FG = 6x + 7

GH = 8x - 5

FH = 10x - 11

Perimeter = 87

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

Perimeter = FG + GH + FH

Substitute values for FG, GH, FH and Perimeter

87 = 6x + 7 + 8x - 5 + 10x - 11

Collect Like Terms

87 - 7 + 5 + 11= 6x + 8x + 10x

96= 24x

Reorder

24x = 96

Divide through by 24

x = 96/24

x = 4

Substitute 4 for x in FG, GH and FH

FG = 6x + 7

FG = 6 * 4 + 7

FG = 24 + 7

FG =31

GH = 8x - 5

GH = 8 * 4 - 5

GH = 32 - 5

GH = 27

FH = 10x - 11

FH = 10*4 - 11

FH = 40 - 11

FH = 29

In order of arrangement in descending order, we have:

FG =31    FH = 29     GH = 27

4 0
2 years ago
Which of these is an example of discrete data?
Nadya [2.5K]
Do you still need help

7 0
3 years ago
To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. Howeve
ad-work [718]

Answer:

we can proove by ASA congruence or SAS congruence rule

6 0
3 years ago
Carpet costs 15 per square yard. How much will it cost to carpet a room that is 180 square feet?
Luba_88 [7]
$240 have a great day
7 0
3 years ago
Read 2 more answers
Other questions:
  • You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 3 and flipping heads?
    15·1 answer
  • The heaviest 16% of all men in weight weigh more than how many pounds ?
    8·1 answer
  • What <br>is 1/10 of .04​
    6·2 answers
  • Adult tickets to an amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult and 1 chi
    14·1 answer
  • How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $11,0
    7·1 answer
  • An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
    15·1 answer
  • Yo 10 or 22 points I rlly need help pls pls pls help :(
    15·1 answer
  • What value of x makes the polygon below have the same perimeter?
    13·2 answers
  • 18cn - 18a + 12d - 20d + 19d - 20cn - 5a + 20cn - 17a
    9·1 answer
  • Which of the following inequalities would be graphed with an open circle?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!