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
vlabodo [156]
3 years ago
8

Suppose that a teacher agrees to pay a student 10​¢for every problem in this chapter that the student solves​ correctly, and fin

es the student 5​¢for every problem done incorrectly. If at the end of 30problems they do not owe each other any​ money, how many problems did the student solve​ correctly?
Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:  10

Step-by-step explanation:

Let x be the number of correct problems and y be the number of incorrect problems.

Given:  A teacher pays a student 10​¢ for every problem in this chapter that the student solves​ correctly, and fines the student 5 ¢ for every problem done incorrectly.

At the end of 30 problems they do not owe each other any​ money.

The by considering the given information we have the following equations :-

x+y=30-----(1)\\\\ 10x-5y=0------(2)

From (2), we have

5y=10x\\\\\Rightarrow\ y=2x

Put y=2x in (1)

x+2x=30\\\\\Rightarrow\ 3x=30\Rightarrow x=10

Then,  y=2(10)=20

Hence, the number of correct problems is 10 and the number of incorrect problems is 20.

You might be interested in
Malcolm ran the 440 yard dash and the 220 yard dash a track meet. There are 3 feet in one yard. How many total feet did Malcolm
inna [77]
In total Malcolm ran 1980 yards in all
4 0
3 years ago
Read 2 more answers
Find the SIDE LENGTH of the garden,
Otrada [13]
If the garden is square it would be 8 square feet.
6 0
2 years ago
Fh
scZoUnD [109]

Answer:

ok so just get the v12{{9-))0} and =14

Step-by-step explanation:

4 0
2 years ago
What is the probability that a data value in a normal distribution is between a
Llana [10]

Answer:

answer b.....plz follow me

7 0
3 years ago
Read 2 more answers
I NEED HELP!!! 12 PTS!!!
Agata [3.3K]
The answer is 13 packages.
6 0
3 years ago
Read 2 more answers
Other questions:
  • The average height of a class of 18 students is 105 cm After arrival of 7 new students the
    5·1 answer
  • 4(2+3c)= 56<br> Solve each equation.
    13·1 answer
  • A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi
    13·1 answer
  • Factor the expression.<br> x squared plus 7 x plus 10
    7·1 answer
  • PLEEEEEEAAAAAASSSSSSE HELLLLLP!!
    9·1 answer
  • Suppose that two teams are playing a series of games, each of which is independently won by team A with probability p and by tea
    14·1 answer
  • Review:
    12·1 answer
  • What is the slope of the line?
    15·1 answer
  • Help Please!! I will give brainliest!
    8·2 answers
  • PLS HELP ASAP!! ONLY 4-5 QUESTIONS AND WILL GIVE BRAINLIEST!! PLS ANSWER AS MANY AS U CAN!!!!11
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!