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
DaniilM [7]
3 years ago
9

An algebra test is worth 100 points and has 28 questions. Multiple- CHOICE Worth 2 points each and extended response worth 4 poi

nts each. How many questions of each type are on the test ?
Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

6 multiple choice questions and 22 open/extended response questions

Step-by-step explanation:

Let x be the number of multiple choice questions

Let y be the number of open response questions

Thus, we have a system of equations:

2x+4y=100

x+y=28

Solve bottom equation for desired variable, then plug in to top one:

x+y=28

x=28-y

2(28-y)+4y=100

56-2y+4y=100

56+2y=100

2y=44

y=22

Plug y back into bottom equation to get x:

x+22=28

x=6

So there are 6 multiple choice questions and 22 open/extended response questions.

You might be interested in
Problems on a Test
patriot [66]
G = 4n is the correct equation to use. Eg 10 x 4 = 40, 18 x 4 = 72 and 21 x 4 = 84
6 0
3 years ago
Write a recursive rule for the sequence.
Vadim26 [7]

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

8 0
3 years ago
Look at the figures. How can you prove these triangles are congruent?
NNADVOKAT [17]

Answer:

You can use the Side-Angle-Side Postulate.

Step-by-step explanation:

The Side-Angle-Side (or SAS) Postulate basically states that if two sides of two triangles and the included angle are congruent, the two triangles are congruent.

6 0
3 years ago
Determine the unit price of the candy using the graph below (I’m confused on this)
LiRa [457]
Brand A costs $2 per ounce, B is $1, C is $0.50(?) I think
4 0
3 years ago
How I simplify this real life expression and show unit analysis?
Anton [14]

The value of the real life expression is, simple interest = $12.5

<h3>How to simplify this real life expression and show unit analysis?</h3>

The real life expression is given as:

simple interest = ($100) (0.05/year) (2.5 years

Divide 1 year by 1 year

simple interest = ($100) (0.05) (2.5)

Rewrite the equation as a product of factors

simple interest = ($100) * (0.05)*  (2.5)

Evaluate the product of 0.05 and 2.5

simple interest = ($100) * 0.125

Evaluate the product of $100 and 0.125

simple interest = $12.5

Hence, the value of the real life expression is, simple interest = $12.5

Read more about expressions at:

brainly.com/question/723406

#SPJ1

6 0
1 year ago
Other questions:
  • A room is 12cm long, 7cm wide and<br>4cm high find the area <br>the ceiling​
    8·2 answers
  • What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
    6·1 answer
  • How many of the students interviewed do not collect sports cards
    8·1 answer
  • © 5 t-shirts and a hat costs £62.00
    10·1 answer
  • Write the equation of the line in point-slope form. PLEASE HELP!!
    6·1 answer
  • The product of three-fourths of a number and 7 is one-half of 672.​
    15·1 answer
  • 1/4x +4 = 1/2 solve with explanation
    11·1 answer
  • .Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. How m
    14·2 answers
  • A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day fo
    9·1 answer
  • I'd love some help right now
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!