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
docker41 [41]
2 years ago
13

Mr. McKay wrote an algebra test with a total of 15 questions consisting of multiple choice and short response style questions. M

ultiple choice questions, x, were worth 5 points each and short response questions, y, were worth 10 points each. There were 100 total possible points on the test. Write and graph a system of linear equations for this situation to determine the number of each type of question.
Mathematics
1 answer:
tankabanditka [31]2 years ago
5 0

Step-by-step explanation:

x = number of multiple choice questions

y = number of short response questions

x + y = 15

5x + 10y = 100

=>

x + 2y = 20

let's subtract the first from the second equation :

x + 2y = 20

- x + y = 15

--------------------

0 y = 5

x + y = 15

x + 5 = 15

x = 10

to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b

a is the slope, b is the y- intercept.

x + y = 15

transforms to

y = -x + 15

this line goes e.g. through the points (0, 15) and (1, 14).

and

x + 2y = 20

transforms to

2y = -x + 20

y = -x/2 + 10

this line goes e.g through (0, 10) and (2, 9).

the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.

You might be interested in
A number line going from negative 2 to 0 in increments of 1. There are 4 equal spaces between each number. Point D is between th
valkas [14]

Answer:the answer is c

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In the United States 5 million Farmers provide food for 260 million people
ycow [4]
If I am understanding the question correctly, farmers make up .02% (rounded to the nearest hundredth, full answer is .0192307) of the population. I calculated this by dividing 5,000,000 by 260,000,000. I then moved my decimal over 2 places to the right to convert it to a percent.
6 0
3 years ago
The student council is selling tickets to a school dance. One teacher decides to pay $10 for his class, and the students in the
Lostsunrise [7]

Hi,

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)


Use Substitution Method

Isolate variable x in equation 1


x = 350 – y                     (equation 3)


Substitute equation 3 into equation 2


3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100


Substitute y = 100 into equation 1


x + 100 = 350

x = 250


Answer: 250 $3 tickets and 100 $2 tickets were sold.


8 0
3 years ago
I need help plzs ill give you brainiest
BARSIC [14]
The answer is A, if the two values are the same because equivalent means equal to one another, or the same.
Hope this helps!

8 0
3 years ago
If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
Marat540 [252]

What we know:      

f(x)=3^2+10x\\g(x)=2x-4                

(Also, 3^2=9)

What we need to solve:

(f-g)(x)             (This is equal to f(x)-g(x))

How you have to subtract f(x) with g(x) to get:

(f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5

Thus, the answer would be:

12x+5

3 0
3 years ago
Other questions:
  • The best interest rate for a borrower on a $5,000 loan for 5 years is:
    5·2 answers
  • Which of the following points is a solution of y > |x| + 5?
    5·1 answer
  • George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third t
    7·2 answers
  • How to round number to the given place value position
    8·1 answer
  • T = kPV solve for p. literal equations
    7·2 answers
  • Brian earns $11 per hour how many hours will Brian have to work until your earns $143? Plssss help me​
    9·1 answer
  • 4) If cos25° = 0.9063, then sin65° =_____0.906________. Explain the reasoning used to answer these two questions
    10·1 answer
  • Find the Size of angle YZX give your answer to 3 significant figures
    15·1 answer
  • The probability of a hurricane being within 100 miles of a location in two days is 40%.
    15·1 answer
  • What is x? The angle x
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!