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
Anastasy [175]
2 years ago
11

A biology test is worth 100 points and has 36 questions.

Mathematics
1 answer:
Ad libitum [116K]2 years ago
6 0

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

You might be interested in
Multiple choice!!!!!!!!!!!!!!!!!!
dolphi86 [110]
By the external angle theorem 

5x = (5x - 30) +  m < RST

m < RST  = 5x - 5x + 30  = 30

 also m < STR = m < SRT = 5x - 30

So as there are 180 degrees in a triangle:-

5x - 30 + 5x - 30 + 30 = 180

10x = 180 +30+30-30 = 210

x = 21 answer
7 0
3 years ago
Read 2 more answers
The pH level of a solution measures how acidic or basic the solution is. Values between 0 and 7 are considered acidic while valu
Furkat [3]

Answer:

  about 2.47

Step-by-step explanation:

Your calculator will tell you ...

  -\log{(3.4\times 10^{-3})}\approx 2.4685\approx\bf{2.47}

4 0
2 years ago
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
lana [24]

Answer:

brainly.com/question/2574086b

Step-by-step explanation:

brainly.com/question/2574086

8 0
3 years ago
Read 2 more answers
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m.
mylen [45]

Answer:

2.675

Step-by-step explanation:

3 0
3 years ago
Does a heptogon have parallel lines please. help me
Tpy6a [65]
No they do not have parallel lines
4 0
3 years ago
Other questions:
  • Jim goes to the store and buy 6 apples for 25 cent each and 10 bananas for 10 cent each Jim has a 10% off coupon Jim will own th
    7·1 answer
  • Which expression is equivalent to sin(0.6ohm)?
    5·1 answer
  • PLEASE, Help ASP
    5·1 answer
  • Which system of inequalities does the graph represent:
    10·2 answers
  • Which of the following rational numbers is equal to 3 point 4 with bar over 4?
    6·1 answer
  • Alexis bought 1_2 pound of grapes. How many ounces of grapes did she buy?
    5·1 answer
  • HELPPPPP PLEASEEE I BEGG YOU
    11·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    6·1 answer
  • The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowe
    12·1 answer
  • If a circle has a diameter of 11.5 feet, what is the area?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!