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
Finger [1]
3 years ago
15

A test worth 125 points has 49 questions on it. Multiple Choice questions are worth 2 points each and short answer questions are

worth 5 points each. How many of each type of question are on the test?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

There were 40 2-point questions and 9 3-point questions.

Step-by-step explanation:

To solve this situation, write two equations. One for the number of questions and one for the number of points.

Let x be the number of 2 point questions.

Let y be the number of 5 point questions.

x + y = 49

Now since x are each worth 2 points, the total points is 2x.

And since y are each worth 5 points, the total points is 5y.

So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.

x + y = 49 becomes x = 49 - y. Substitute it.

2(49-y) + 5y = 125

98 - 2y + 5y = 125

98 + 3y = 125

3y = 27

y = 9

Substitute y = 9 back into the equation x = 49 - y to find x.

x = 49 - 9

x = 40

You might be interested in
I need help. Thank you.
Oduvanchick [21]

Answer:

D

A=-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A satellite orbits Earth at a rate of about 3,300 miles in 12 minutes. At this​ rate, how far does the satellite travel around E
Vaselesa [24]
16,500

60 minutes in an hour / 12 minutes = 5
5 * 3,300 = 16,500
7 0
3 years ago
Read 2 more answers
If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
Likurg_2 [28]

Hello from MrBillDoesMath!

Answer:

x + 9 and (x + ( i - 7)) are factors

Discussion:

If f(x) has roots -9 and 7-i then

f(x) = g(x)(x - (-9))  (x - (7-i))            ( g(x) is a polynomial of degree less than f(x))

That is, x + 9 and (x + ( i - 7)) are factors of f(x)

BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is  also be a root.

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
IF U CAN SOLVE THIS I LITERALLY LUV U ILL GIVE U BRAINLIEST 5 STARS AND A THANKSSS OMG PLS IN 10 MINUETSSS :c
gogolik [260]

Answer:

determination and family

7 0
2 years ago
Experience shows that few students hand in their statistics exams early; most prefer to hand them in near the end of the test pe
konstantin123 [22]

Answer:

False

Step-by-step explanation:   6 28 13  50

skewing to the right of a sysmetrical distribution is a negative skew

4 0
2 years ago
Other questions:
  • Which of the following is not one of the categories of which the CPI market basket consists?
    13·2 answers
  • The table is an example of joint variation. What is the missing value if the length is 5 meters?
    14·2 answers
  • Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section
    5·1 answer
  • Are 6:5 And 17:5 equivalent
    9·2 answers
  • Please help. Thank you
    12·1 answer
  • You can use displacement to find the volume of an irregular object, such as a stone. Suppose a tank is
    15·1 answer
  • A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacem
    15·1 answer
  • A boy had 4 marbles and lost one. How many marbles does he have now?
    15·1 answer
  • Tony has $18 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and grap
    10·1 answer
  • W
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!