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
horsena [70]
3 years ago
13

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100
Biology
2 answers:
leva [86]3 years ago
8 0

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

As per the given statement:

A science test, which is worth 100 points, consists of 24 questions.

Then the system of equation is:

x + y = 24           ......[1] and

3x + 5y = 100                   ......[2]

we can write equation [1] as ;

y = 24 -x

Substitute this in equation [2] we have;

3x + 5(24-x) = 100

Using distributive property: a\cdot (b+c) = a\cdot b +a \cdot c

3x + 120 - 5x =100

Combine like terms:

120 - 2x =100

Subtract 120 from both sides we get;

120 -2x -120 = 100-120

Simplify:

-2x = -20

Divide both sides by -2 we get;

\frac{-2x}{-2}= \frac{-2}{-2}

Simplify:

x = 10

Substitute the value of x in equation [1] to solve for y;

10 + y =24

Subtract 10 from both sides we get;

10 + y -10 = 24-10

Simplify:

y = 14

Therefore, the number of 3-points questions x is, 10 and the number of 5-points questions y is, 14

masya89 [10]3 years ago
8 0
Let the value of 3-points questions be x.
The value of 5-point questions be y.
x + y = 24
Then x = 24 - y which makes 3x + 5y = 100
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
Lets get the ys together, 72(-3y + 5y)  = 100
72 + 2y = 100
The value of y = (100 - 72) = 2y
2y = 28
y = 14.
If y is equal to 14, what about x?
x = 24 - y
x = 24 - y
x = 24 - 14
x = 10.
The value of 3-points questions is 10, and the value of 5 points questions is 14.
You might be interested in
Carbon is transformed into stored energy in what process
Sergeu [11.5K]

Answer:

Nuclear fission

Explanation:

7 0
2 years ago
Read 2 more answers
Which one of the following processes does not occur to excess neurotransmitters in the synapse
svlad2 [7]

This question is incomplete because the options are not given; here is the complete question:

Which one of the following processes does not occur to excess neurotransmitters in the synapse?

A. Break down or digested into inactive fragments.

B. Collection by scavenger vesicles left over from the neurotransmitter release.

C. Drifting away from the synapse via diffusion.

D. Reuptake within the pre-synaptic neuron.

The answer to this question is B. Collection by scavenger vesicles left over from the neurotransmitter release.

Explanation:

The word synapse refers to the neurological structure that allows the transmission of signals or information between neurons. This process occurs through neurotransmitters, which are the molecules or substances with the messages.

Moreover, in this process, there can be in some cases excess. In this situation, the body reacts to this excess by degrading or breaking down the extra neurotransmitters, eliminating it through diffusion, or even reabsorbing it (reuptake). In this context, all are processes that occur due to excess neurotransmitters except collection by scavenger vesicles because in most cases neurotransmitters are simply absorbed or eliminated but there are not specialized scavenger vesicles that collect them.

3 0
3 years ago
Which of the following statements about the interaction of Earth's systems is true?
Amanda [17]

Answer:

d. All of the Earth's systems interact with each other.

8 0
3 years ago
Read 2 more answers
Bacteria are organisms that reproduce asexually. Asexual reproduction can
madreJ [45]

Answer:

Since all forms of bacteria are prokaryotic and in turn unicellular their offspring don’t have to undergo a long period of gestation and growth prior to relative maturity. Whereas any organism (for the most part) in the animila kingdom do and any animal also require a mate. So one major benefit of bacteria being capable of asexual reproduction is they don’t require a mate to reproduce hence the name ASEXUAL. Also, another benefit I vaguely/briefly mentioned is the ability to reproduce at a faster rate than many if not all eukaryotic organisms. For example E.coli a type of bacteria can reproduce in as little as 20 minutes if I recall correctly.

6 0
3 years ago
What is the most likely reason the bones of the reptiles were found on more than one continent
PolarNik [594]

Answer: Plate Tectonics

Explanation:

7 0
3 years ago
Other questions:
  • What is the function of nucleic acids
    6·2 answers
  • Norway is a country famous for its fjords true or false
    6·2 answers
  • What are physical characteristics that help an organism survive
    12·1 answer
  • When attempting to lower a person's body temperature in response to hyperthermia?
    9·1 answer
  • What is filled of enzymes that can break down substance in cells to be used later
    12·1 answer
  • How does water effect metamorphic process
    7·2 answers
  • Suppose we were successful in identifying 12 mutants using a screen for identifying conditional mutants of S. cerevisiae in whic
    8·1 answer
  • Please tell me what goes in the top blank, and if you could, tell me if I put the other stuff in the right blank!
    12·1 answer
  • How does biodiversity impact human well-being?<br> FOR SCIENCE!!
    7·1 answer
  • Wfhghjgjbhjvyfcghybvhydszdyh
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!