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
Solnce55 [7]
3 years ago
8

Your teacher is giving you a test worth 100 points containing 40 questions. There are two point and to

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

There are <u>30</u> two point questions and <u>10</u> four point questions  on the test.

Step-by-step explanation:

Given:

Your teacher is giving you a test worth 100 points containing 40 questions. There are two point and four point questions on the test.

Now, to find number of each type of question are on the test.

Let the two point questions be x.

And let the four point questions be y.

So, total questions:

x+y=40..........( 1 )

⇒ y=40-x.

Now, total number of points of the questions on the test:

2x+4y=100.

<em>Substituting the value of y:</em>

⇒ 2x+4(40-x)=100

⇒ 2x+160-4x=100

⇒ 160-2x=100

<em>Adding both sides by 2x we get:</em>

⇒ 160=100+2x

<em>Subtracting both sides by 100 we get:</em>

⇒ 60=2x

<em>Dividing both sides by 2 we get:</em>

⇒ 30=x

⇒ x=30.

The number of two point questions = 30.

Putting the value of x in the equation ( 1 ) we get:

30+y=40.

<em>Subtracting both sides by 30 we get:</em>

⇒ y=10.

The number of four point questions = 10.

Therefore, there are 30 two point questions and 10 four point questions on the test.

You might be interested in
A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write
Alenkinab [10]
The line passes through two points that have the same x-coordinate.
It is a vertical line. To find the slope of a line, use any two points. Subtract the y-coordinates. Subtract the x-coordinates in the same order. Then divide the difference of the y-coordinates by the difference of the x-coordinates. Since in this case, the x-coordinates are both -6, the difference between the x-coordinates is zero. Division by zero is not defined, so the slope of this line is undefined. You can't write its equation in point-slope form, because there is no slope for this line.
3 0
3 years ago
What is the solution to 3x2 + 4x - 8 = 0?
Ber [7]

Answer:

The answer is c

Step-by-step explanation:

3 0
3 years ago
Express the following number as fraction with fraction with rational denominator ​
aleksley [76]

Answer:

I need the picture

Step-by-step explanation:

wheres the picture my guy

4 0
3 years ago
Read 2 more answers
A bagel and a slice of pie cost $4. The slice of pie cost $1.60 more than the bagel. How much did the bagel cost
Black_prince [1.1K]

Answer:

$2.04

Step-by-step explanation:

$4-$1.60

4 0
3 years ago
Read 2 more answers
Ray invested $300 in Stock A
Marta_Voda [28]
Yea you can look it up:)
4 0
3 years ago
Other questions:
  • A bag of marbles contains 16 red, 10 green, and 5 blue marbles. Suppose that two marbles are drawn without replacement. What is
    13·1 answer
  • 16x+x =12 solve justify each step with algebraic property
    13·1 answer
  • PLZ Help <br> This is due by 2:20
    7·1 answer
  • PLEASEEE HELLPPPP 20 POINTSHow can I find a repeating decimal? fraction to decimal
    9·2 answers
  • 2 hundredths + 6 hundredths = ________ hundredths?
    14·1 answer
  • 4x-5.2y + 6y + 7.9x - 8x
    9·1 answer
  • How do i factor equations?
    12·1 answer
  • Rena wrote all the integers from 1 to 19. How many digits did she write?
    12·2 answers
  • My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?
    10·2 answers
  • Is 1,250 More than or less than 1.25​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!