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
trasher [3.6K]
3 years ago
9

At the high school championship game, the Cougars beat the Lions 31 to 17. The total score came from 14 scoring plays. The scori

ng plays consisted of touchdowns, extra-point kicks, and field goals. Touchdowns are worth 6 points each, extra-point kicks are worth 1 point each, and field goals are worth 3 points each. The number of touchdowns was equal to the number of extra-point kicks. Write a linear system to represent this game. Use matrices to then solve the system. How many touchdowns, extra-point kicks, and field goals occurred in the game?
Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer:

Number of touchdowns = 2

Number of extra points = 2

Number of field goals = 0

Step-by-step explanation:

<em>Let the number of touchdowns be "x", number of extra points be "y" and number of field goals be "z".</em>

It is given that number of touchdowns = number of extra points.

Thus, x=y

Total points scored are 14.

Points scored by touch down are = (6)(x)

Points scored by extra points are = (1)(y) = x

Points scored by field goals are = (3)(z)

Thus, the equation becomes

6x+y+3z = 6x+x+3z=7x+3z = 14

In matrice form, they can be represented as;

\left[\begin{array}{ccc}6&1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] (14)

x= \frac{14-3z}{7}

now, x and z cannot be negative or fraction, only positive integers. Thus inserting values of z from 0 to 4,

The correct solution is x=y=2 and z=0.

You might be interested in
Please answer this correctly
TiliK225 [7]

Answer:

22 meters

Step-by-step explanation:

Area of yellow rectangle: 6x4=24

Area of gray rectangle: 8x=24

x=3

Thus, the perimeter is 3+3+8+8, which is 22.

5 0
2 years ago
Read 2 more answers
Choose the system of equations that matches the following graph:
IrinaVladis [17]
The  correct option as per me is (b)
6 0
2 years ago
Help please!!
bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

<u>Step-by-step explanation:</u>

Percentage:  Like + Don't like = 100%

                     80%  + Don't like = 100%

                  <u>  -80%                    </u>    <u> -80% </u>

                                  Don't like = 20%

People: 20% of Patrons = Don't Like

             0.20  x Patrons = 35

          <u>÷ 0.20                  </u> <u> ÷ 0.20  </u>  

                           Patrons = 175

<u>Now, let's write the equation we used to get that answer</u>:

Let P represent the total number of patrons, then the equation is:

 (100% - 80%)P = 35

= (1.00 - 0.80)P = 35

=       0.20P     = 35

 =             P      = 175

<u>Part B:  </u>

80% of Patrons = Like

0.80  x    175      = Like

         140            = Like


6 0
3 years ago
The length of the sides of a square is 10 meters. Find the length of the diagonals of the square
BaLLatris [955]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Use Pythagoras' theorem:

a^2 + b^2 = c^2

Sub the values in:

10^2 + 10^2 = c^2

200 = c^2

Square root to find the answer:

c = 14.14

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

7 0
3 years ago
Read 2 more answers
om was using wire of the following thicknesses .33 mm, .275 mm, .25 mm, and .3 mm for some electrical work. Order the wire from
bogdanovich [222]
B. .33 .3 .275 .25 yup, just gotta get over 20 characters
8 0
3 years ago
Other questions:
  • What is the mean of the set of numbers? –14, –8, –1, 2, 6 A. –1 B. 2 C. 3 D. –3
    14·2 answers
  • The largest prime factor of twelve is _____. user: identify the fractions as proper, improper, or mixed; however, if the fractio
    7·2 answers
  • you are designing a rectangular flower bed that you will border using brick paverst. the width of the border aaround the bed wil
    11·1 answer
  • The cost of a suitcase is $62.50, and the selling price is $88. Find the percent of markup on selling price.
    14·2 answers
  • This needs to be simplified and clearly i don’t know the answer <br><br> -23b^4+(-7b^4)
    10·2 answers
  • Jordan is chopping wood for the winter. for 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of
    13·1 answer
  • -2 1/3 - (-5) = []<br><br> A. 2 2/3<br> B. 3 1/3<br> C. 3 2/3<br> D. -7 1/3
    15·2 answers
  • Need help will mark brainliest
    12·2 answers
  • The function g(x) is a transformation of the cube root parent function,
    13·1 answer
  • Brainliest to correct
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!