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
Gennadij [26K]
3 years ago
12

Recall that in football, touchdowns are worth 7 points each (including the extra point), and field goals are worth 3 points each

. List all of the different ways a football team could score 63 points, if they make at least one touchdown and at least one field goal.
Mathematics
2 answers:
SashulF [63]3 years ago
5 0

Answer:

The different ways a football team cold score 63 points are by having;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals

Step-by-step explanation:

The given parameters are;

The worth of each touchdown = 7 point

The worth of each field goal = 3 points

The number of touch down ≥ 1

The number of field goals ≥ 1

Let x represent the number of touchdowns and let y represent the number of field goals, we have;

7·x + 3·y = 63...(1)

x + y ≥ 2...(1)

Making y the subject of the equation, 7·x + 3·y = 63, gives;

3·y = 63 - 7·x

y = 21 - (7/3)·x

Making y the subject of the inequality, x + y ≥ 2, gives;

y ≥ 2 - x

From the attached graph created with Microsoft Excel, we have the points where x ≥ 1, that have a whole number value of y ≥ 0 as follows;

1) When x = 3, y = 14 gives 7×3 + 3×14 = 63

2) When x = 6, y = 7 gives 7×6 + 3×7 = 63

Therefore, the different ways a football team cold score 63 points are;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals.

Montano1993 [528]3 years ago
4 0

Answer:

63 points

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals

You might be interested in
Please help solve this and show work
Dafna11 [192]

Answer: x=9

Step-by-step explanation:

7x+43=106

subtract 43 from both sides

7x=63

divide by 7

x=9

8 0
3 years ago
If you know how to solve this, Please answer it. Thank You
bulgar [2K]
The answer would be 10
6 0
2 years ago
Read 2 more answers
find a number such that if 8 is subtracted from 9 times the number , the result is 6 more than twice the number​
zheka24 [161]

Answer:

x=2

Step-by-step explanation:

let the number be x

9x-8=6+2x

9x-2x=6+8

7x=14

x=14/7

x=2

8 0
3 years ago
Which equation can be used to solve the following word problem?
ra1l [238]
A is definitely the answer.
3 0
3 years ago
Read 2 more answers
Can somebody answer my question answer ASAP
Elenna [48]

Answer:

what question

Step-by-step explanation:

I wanna help but I don't know what the question is sooo

6 0
3 years ago
Read 2 more answers
Other questions:
  • Is |-4| equal to |4|?
    15·2 answers
  • paula sold 45 packages of wrapping paper for the school fundraiser. This 3 less than twice the number of packages that she sold
    6·1 answer
  • Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V
    14·1 answer
  • I need some help with these questions
    11·1 answer
  • I don't really understand help would be great
    9·1 answer
  • Help me please and thank you
    9·1 answer
  • Round 38.725 to the nearest tenth​
    5·2 answers
  • Which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?​
    5·1 answer
  • Select all lines that have a slope of (5/2).
    13·1 answer
  • What is the relative frequency for RED cars? ( round off to 3 decimals and don’t convert to a percent)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!