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
Molodets [167]
3 years ago
5

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20

points, write a system of equations.
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

x+y=30       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

4x-y=20        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations x+y=30 and 4x-y=20.

You might be interested in
David invested $220 in a savings account that offers a 3% return on the investment. The value of
STatiana [176]

Answer:

20 years

Step-by-step explanation:

Using the formula; A = P(1 + r)^t

We can plug in the known to find t

400 = 220(1.03)^t

then solve for t;

1.818 = 1.03^t

Introducing In

In 1.818 = t × In (1.03)

t = 20.225  

t = 20 years to the nearest year

7 0
3 years ago
Write the equation of the line perpendicular to the line y = -5/7x + 12/7 and containing the point (5,2). Write your answer in s
Nutka1998 [239]

Answer:

y = 7x/5 - 5

Step-by-step explanation:

m = 7/5

y - 2 = 7/5(x - 5)

y - 2 = 7x/5 - 7

y = 7x/5 - 5

8 0
3 years ago
two bags and four hats cost $100 in all. three bags and seven hats cost $164 in all. what is the cost of 1 hat?
Natali [406]

Answer:

Bags = 22

Hat = 14

22 x 2 = 44

14 x 4 = 56

So the first part is true

3 x 22 = 66

7 x 14 = 98

So the second part is true

14 is the answer

It's trial and error

Step-by-step explanation:

4 0
4 years ago
1.5x-2<10 how do you solve this
PolarNik [594]
5x - 2 < 10
+ 2
5x < 12
÷ 5
x < 2.4
Hope this helped!
3 0
4 years ago
Elbert made 48% of the shots he took during the basketball game. If he attempted 25 shots, how many times did he score?
barxatty [35]
Hi there! So Elbert made 48% of his shots. To find out how many shots he made, all you have to do is multiply the amount of shots he attempted by the percentage. 25 * 48% is 12. There. Elbert scored 12 baskets.
7 0
3 years ago
Other questions:
  • Help please, will give brainliest
    6·1 answer
  • Expand the expression (3-2y)^6 using binomial theorem
    14·1 answer
  • What is the area of the blue shaded region ?​<br>please help
    9·1 answer
  • A. Rewrite the function y = x2 – 14x + 58 in vertex form by completing the square. Show your work. B. Rewrite the function y = –
    6·1 answer
  • Find the magnitude of the force needed to accelerate a 220g mass with a⃗ = -0.145m/s2 i^+0.430m/s2 j^.
    10·1 answer
  • The area of a rectangular vegetable garden is 200 feet. The width is 10 feet. What is the length?
    7·2 answers
  • Find the values of a through e that make these two relations inverses of each other.
    12·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
    10·1 answer
  • What are the blank numbers for 16, 17, 18, and 19
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!