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
lidiya [134]
3 years ago
15

A test is worth 50 points. Multiple-choice are worth 1 point and short answer questions are worth 3 points. If a test has 20 que

stions how many multiple choice questions are there
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

5 multiple choice questions

Step-by-step explanation:

Write equations to represent the situation.

let "x" be the number of multiple choice questions

let "y" be the number of short answer questions

Equation for the total number of questions:

x + y = 20        # of multiple choice questions + # of short answer questions

Equation for the total points: (Multiply the type of question with how many points you get.)

x + 3y = 50     You don't need to write '1' beside 'x' for multiplying by 1.

The system of equations we need to solve is:

x + y = 20 and x + 3y = 50

We can solve using the substitution method.

Rearrange x + y = 20 to isolate one variable.

Isolate 'y'.

x + y = 20

x - x + y = 20 - x     Subtract 'x' from both sides

y = 20 - x

Take the other equation x + 3y = 50. You can replace 'y' with the equation that equals 'y' that we got when rearranging.

Substitute y for 20 - x

x + 3y = 50

x + 3(20 - x) = 50    Use distributive property. Multiply the 3 outside the bracket by each number inside the bracket.

x + 60 - 3x = 50     Combine like terms. 'x' and '-3x' are alike because they both have 'x'.

60 - 2x = 50          Start isolating 'x'.

60 - 60 - 2x = 50 - 60     Subtract 60 from both sides.

-2x = 50 - 60     60-60 cancels out on the left side.

-2x = -10

-2x/-2 = -10/-2       Divide both sides by -2 to isolate 'x'.

x = -10/-2           -2x/-2 becomes 'x'. -2/-2 cancels out.

x = 5          Number of multiple choice questions

Therefore there are 5 multiple choice questions.

If you needed the number of short answer questions too, you would substitute x for 5 in any of the other equations.

You might be interested in
I need help for a project! What would the variables be defined as!?
Mila [183]

2  1/5x * 1 7/10 y  *  4  3/5 x 1 7/10  (* 7 4/50)

Finds the answer  

10 6/50x  *  7  41/50y   (* 7/4/50)  = 56

79 13/100  (* 7 4/50)  = 56

560  = 56 (10x)

x = 5 6/10

7 (y) = 56 (7y)

8 = 56/7  (y)

y = 8

x = 5 6/10

6/10 of 560  = 336  

336/60 = x

336/60 = 5 6/10

6 0
3 years ago
What is the equation of the line that passes through the point (-4, 6) and
mezya [45]
6= - 5/4 (-4) +b
6=-5+b
11=b
y=-5/4+11
6 0
2 years ago
Are 8÷2 and 2÷8 equivalent
xenn [34]

No they are not.

8÷2=4

2÷8=0.25

5 0
3 years ago
A triangular portion of a baseball field is marked as shown below. To the nearest tenth, what is the length of the side labeled
dem82 [27]

Answer:

The answer would be 3.6

Is it OK if I don't explain it?

4 0
3 years ago
The owner of a food truck determines a location for the operation. The owner maps out two office buildings on a coordinate plane
xxMikexx [17]

Answer:

Successful food trucks incorporate marketing into their location choices. Contact the businesses in the large office building, ask permission to park in their lot and provide food for their employees. ... You'll find that business owners are excited to offer this fun, food option to their employees.

Step-by-step explanation:

plzzzzzzz Mark my answer in brainlist

5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE LOOK AT PICTURE
    8·2 answers
  • Consider the experimental situation described below. Ability to grow in shade may help pines in the dry forests of Arizona resis
    13·1 answer
  • Sarah has a collection of nickels, dimes, and pennies worth $5.06. She has five times as many nickels as pennies; and she has tw
    10·2 answers
  • Please answer this multiple choice question correctly for 30 points and brainliest!!
    5·2 answers
  • FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2
    7·1 answer
  • There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se
    13·1 answer
  • El área de un cuadrado es de 625cm. Averigua cuánto mide el lado y cuánto mide el perímetro del cuadrado
    12·2 answers
  • N ≤ -2.5 i’m doing mathematics
    10·1 answer
  • What is equivalent to 11 - ( - 3 5/8)?
    13·1 answer
  • 2. For a particular model of a car, a dealer offers 3 sizes of engines, 2 types of stereos, 18 body
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!