![petriajack8375](/avatars/12244.jpg)
petriajack8375
11.11.2020 •
Mathematics
Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.
Solved
Show answers
More tips
- H Health and Medicine What to Do If You Are Bitten by a Dog?...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- F Food and Cooking Discover How to Properly Prepare Dough for Rasstegai...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Mathematics
- M Mathematics Is first differences the same as slope...
- M Mathematics Put the following in order from largest to the smalles 0.2 60% 0.75...
- M Mathematics Solve for x or find x...
- M Mathematics Why is (3, -5) not a solution to -x+4=-15 and -2x-3y=-8...
- M Mathematics △abc has a b c. if one of the angles in the triangle is 60°, name the angle that can be equal to 90°....
- E English Notes 3 list on how steinbeck life experiences influenced his writing...
- B Biology How do prokaryotes lend stability to an ecosystem?...
Ответ:
The number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Let the number of points touch down be xLet the number of -point field goals be yIf the team scored six-time, this is expressed as;
x + y = 6
y = 6 - x 1
If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;
7x + 3y = 26 2
Substitute equation 1 into 2 to have:
7x + 3(6-x) = 26
7x + 18 - 3x = 26
4x + 18 = 26
4x = 26 - 18
4x = 8
x = 2
Recall that y = 6 - x
y = 6 - 2
y = 4
Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Learn more on simultaneous equations here: link
Ответ:
(2,4)
Step-by-step explanation:
Equation 1:
x+y=6(for the 6 times they scored)
x=-y+6
Equation 2:
7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)
7(-y+6)+3y=26(replace x with -y+6)
7y+42+3y=26(distrubite property)
-4y+42=26
-4y= -16
y= 4
Now that we know that y is equal to 4:
x+4=6
x=2
Ответ:
3000 is her entire savings
300 is 10 percent of her entire savings, 300+300=600
so 10%+10%=20%
hope this helped